Answer:
4x+3
Step-by-step explanation:
Answer:
A. 4x+3
Step-by-step explanation:
Combining like terms 8x and −4x
Will give you the asnwer to 4x
which will give you 4x + 3
I need to know if there both parallel
Answer:
No
Step-by-step explanation:
No. So if the number next to the "x" we're the same, it would have been. But they are different (one is -3 and one is 1/3)
Mitchell orders a plain turkey sandwich and a drink for lunch. The drink is $2.95
. Instead he is served the super sandwich with lettuce, tomato, and mayonnaise. The restaurant manager takes 15%
off the price of the sandwich.
Write an equation to determine the original price of Mitchell’s sandwich, x
, if his new bill is $8.86
.
Enter the correct equation in the box.
Answer:
7$
Step-by-step explanation:
✅
The graph of a quadratic function with vertex (-3, - 1)
Find the range and the domain.
Therefore the range of the quadratic function with vertex (-3, -1) is y ≥ -1 and the domain is all real number and the Domain is real numbers .
How to the range ?A quadratic function's vertex form is given by:
[tex]y = a(x - h)^2 + k[/tex]
where (h, k) is the parabola's vertex. In this instance, we have:
[tex]h = -3, k = -1[/tex]
So the quadratic function's equation is:
[tex]y = a(x + 3)^2 - 1[/tex]
To determine the function's range, we must first determine the minimum value of y. Because the squared term's coefficient is positive, the parabola opens upwards and the vertex is a minimum point. As a result, the range is:
Range: y ≥ -1
To determine the function's domain, we must first determine the set of all x-values for which the function is defined. Due to the fact that a quadratic function is defined for all real numbers, the domain is:
Domain: All real numbers
So the domain of the quadratic function with vertex (-3, -1) is all real numbers, and its range is y -1.
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Divide. Write the answer in simplest form.
6 and 3/5÷ 3/4
Answer:
44/5
Step-by-step explanation:
6 3/5 ÷ 3/4
6 3/5 = 33/5
33/5 ÷ 3/4 = 33/5 × 4/3 = 132/15 = 44/5
So, the answer is 44/5
Answer:
Step-by-step explanation:
1) Write the equation
[tex]\frac{3}{5}[/tex] ÷ [tex]\frac{3}{4}[/tex] = ?
2) Multiply by the reciprocal of [tex]\frac{3}{4}[/tex]
[tex]\frac{3}{5}[/tex] × [tex]\frac{4}{3}[/tex] =?
3) Cancel out the GCF 3
[tex]\frac{1}{5}[/tex] × 4 =?
4) Solve
[tex]\frac{4}{5}[/tex] or 0.8
an internal revenue service (irs) inspector is to select 2 corporations from a list of 10 for tax audit purposes. of the 10 corporations, 6 earned profits and 4 incurred losses during the year for which the tax returns are to be audited. if the irs inspector decides to select the 2 corporations randomly, find the probability that: both corporations earned profits. one corporation incurred a loss. suppose the irs inspector selects 3 corporations from the list. what is the probability that at least 2 of them earned profits?
The probability of selecting at least 2 corporations earned profits is 2/3.
Define the term probability ?A subfield of statistics known as probability studies random events and their likelihood of happening.
Using combination formula:
¹⁰C₂ = [tex]\frac{10!}{(2! * (10-2)!)}[/tex] = 45
This tells us that there are 45 possible ways to select two corporations from the list of 10.
To determine the number of ways that two corporations that both earned profits can be selected,
⁶C₂ = [tex]\frac{6!}{(2! * (6-2)!)}[/tex] = 15
So there are 15 ways to select two corporations that both earned profits.
Therefore, the probability of selecting two corporations that both earned profits is:
P(both earned profits) = 15/45 = 1/3
To find the probability of selecting one corporation that incurred a loss,
⁴C₁ × ⁶C₁ = 4 × 6 = 24
So there are 24 ways to select one corporation that incurred a loss and one corporation that earned a profit.
Therefore, the probability of selecting one corporation that incurred a loss is:
P(one incurred loss) = 24/45 = 8/15
If the IRS inspector selects 3 corporations from the list, we can use the complement rule to find the probability that at least 2 of them earned profits,
P(at least 2 earned profits) = 1 - P(none earned profits) - P(only 1 earned profit)
To find the probability that none of the three selected corporations earned profits,
⁴C₃ ÷ ¹⁰C₃ = 4/120 = 1/30
To find the probability that only one of the three selected corporations earned profits,
{ ⁶C₁ × ⁴C₂ } ÷ ¹⁰C₃ = 36/120 = 3/10
Therefore, the probability of selecting at least 2 corporations that earned profits is:
P(at least 2 earned profits) = 1 - 1/30 - 3/10 = 2/3
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Find the distance traveled by a particle with position ( x, y ) as t varies in the given time interval. Compare with the length of the curve.
x=sin^2(theta) , y=cos^2(theta) 0
The distance traveled is equal to sin^2(θ), as seen before.
To find the distance traveled by a particle with position (x, y) as t varies in the given time interval, we need to first find the parametric equations for x and y in terms of t, and then compute the arc length of the curve.
Given x = sin^2(t) and y = cos^2(t), we first find the derivatives of x and y with respect to t:
dx/dt = 2 * sin(t) * cos(t)
dy/dt = -2 * sin(t) * cos(t)
Next, we compute the square root of the sum of the squares of the derivatives:
sqrt((dx/dt)^2 + (dy/dt)^2) = sqrt((2 * sin(t) * cos(t))^2 + (-2 * sin(t) * cos(t))^2) = sqrt(4 * sin^2(t) * cos^2(t) + 4 * sin^2(t) * cos^2(t)) = 2 * sin(t) * cos(t)
Now, we can find the distance traveled by integrating the above expression with respect to t over the given time interval (0, θ):
Distance traveled = ∫(2 * sin(t) * cos(t) dt) from 0 to θ
Using the substitution u = sin(t), du = cos(t) dt, we get:
Distance traveled = ∫(2 * u du) from 0 to sin(θ)
Now, integrating with respect to u, we get:
Distance traveled = u^2 | from 0 to sin(θ) = (sin^2(θ)) - (0^2) = sin^2(θ)
The length of the curve can be computed as the arc length:
Length of the curve = ∫(2 * sin(t) * cos(t) dt) from 0 to θ
As we computed earlier, the distance traveled is equal to sin^2(θ). Therefore, the distance traveled by the particle is the same as the length of the curve.
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a high school baseball player has a 0.253 batting average. in one game, he gets 8 at bats. what is the probability he will get at least 6 hits in the game?
The probability of a high school baseball player getting at least 6 hits in one game, given a 0.253 batting average, when he gets 8 at-bats, is 0.0197 or approximately 2%.
Given, the high school baseball player's batting average is 0.253, which means in 100 times he hits the ball, he will make 25.3 hits on average. We need to find the probability of getting at least 6 hits in a game when he gets 8 at-bats.
We will calculate the probability using the Binomial Probability formula. Here, the number of trials is 8, and the probability of success is 0.253. We need to find the probability of getting at least 6 hits.
P(X≥6) = 1 - P(X<6)
P(X<6) = ∑P(X=i), i=0 to 5
We can use the Binomial Probability Table to find these probabilities or use the Binomial Probability formula.
P(X<6) = P(X=0) + P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5)
= C(8,0) (0.253)^0 (1 - 0.253)^8 + C(8,1) (0.253)^1 (1 - 0.253)^7 + C(8,2) (0.253)^2 (1 - 0.253)^6 + C(8,3) (0.253)^3 (1 - 0.253)^5 + C(8,4) (0.253)^4 (1 - 0.253)^4 + C(8,5) (0.253)^5 (1 - 0.253)^3
≈ 0.9799
Therefore, P(X≥6) = 1 - 0.9799
= 0.0201 or approximately 2%.
Hence, approximately 0.0197 or 1.97% is the probability of a high school baseball player, who has a batting average of 0.253, obtaining at least 6 hits when given 8 at-bats during a single game.
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If f(1) = 10, and f(n) = f(n-1) + 4, then find the value of
ƒ (4).
The value of f(4) using recursive formula f(1) = 10 and f(n) = f(n-1) + 4 for n ≥ 2 is 22
Finding the Value of f(4) Using Recursive FormulaGiven that f(1) = 10 and f(n) = f(n-1) + 4 for n ≥ 2.
To find the value of f(4), we can use the recursive formula to work our way up from f(1) to f(4):
Using the above as a guide, we have the following:
f(2) = f(1) + 4 = 10 + 4 = 14
Next, we have
f(3) = f(2) + 4 = 14 + 4 = 18
Next, we have
f(4) = f(3) + 4 = 18 + 4 = 22
Therefore, the value of f(4) is 22.
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a counseling service records the number of calls to their hotline for the last year. what is the forecast for august if the forecast for june was 164 and the service uses exponential smoothing with an alpha of 0.7?
Forecast for August with an alpha of 0.7 and forecast of June 164 are to be calculated using exponential smoothing.
Exponential smoothing is a forecasting method that uses a weighted average of past time-series values to forecast future values. In a time-series, data values are obtained over time, such as over months or years, and then plotted in sequence.
The weights decrease exponentially as the observations get older. The EWMA formula used in exponential smoothing is as follows:
St=α × Yt-1+(1-α) × St-1
where,St is the smoothed statistic for the current period tYt is the original observation for the current period tSt-1 is the smoothed statistic for the previous period t-1α is the smoothing parameter 0≤α≤1, and usually close to 0.1.The smoothed statistic is also called the exponentially weighted moving average (EWMA).Calculating the forecast for August with alpha=0.7 and forecast of June 164 as follows:
St=α × Yt-1+(1-α) × St-1St =0.7 × 164+(1-0.7) × 164St=164
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Triangle ABC has vertices at A(−4, 3), B(0, 5), and C(−2, 0). Determine the coordinates of the vertices for the image if the preimage is translated 4 units down.
A′(−4, −1), B′(0, 1), C′(−2, −4)
A′(−4, 7), B′(0, 9), C′(−2, 4)
A′(0, 3), B′(4, 4), C′(3, 0)
A′(−8, 7), B′(−4, 9), C′(−6, 4)
The coordinates of the vertices for the image if the preimage is translated 4 units down are A′(-4, -1), B′(0, 1), C′(-2, -4).
What is meant by preimage?
In geometry, a preimage is the original figure or shape before any transformation is applied. It is the initial configuration of the object that is being transformed. For example, if we have a square and we rotate it by 90 degrees, the original square is the preimage and the resulting figure after the rotation is the image.
To translate the preimage 4 units down, we need to subtract 4 from the y-coordinates of all vertices. Therefore, the coordinates of the image vertices are:
A′(-4, 3-4) = (-4, -1)
B′(0, 5-4) = (0, 1)
C′(-2, 0-4) = (-2, -4)
Therefore, the vertices of the image triangle are A′(-4, -1), B′(0, 1), and C′(-2, -4).
So, the correct option is: A′(-4, -1), B′(0, 1), C′(-2, -4).
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during a one-month promotional campaign, tiger films gave either a free dvd rental or a 12-serving box of microwave popcorn to new members. it cost the store $1 for each free rental and $2 for each box of popcorn. a total of 89 new members were signed up and the store's cost for the incentives was $135. how many of each incentive were given away?
By using system of equations, there are 43 free DVD rentals and 46 boxes of microwave popcorn were given away during the promotional campaign.
Let's use the following variables
x: the number of free DVD rentals given away
y: the number of boxes of microwave popcorn given away
We can set up a system of equations to represent the given information:
x + y = 89 (total number of new members signed up)
1x + 2y = 135 (total cost of the incentives)
We can solve for x or y in the first equation and substitute into the second equation
x = 89 - y
1(89 - y) + 2y = 135
89 - y + 2y = 135
y = 46
Substituting y = 46 into the first equation:
x + 46 = 89
x = 43
Therefore, 43 free DVD rentals and 46 boxes of microwave popcorn.
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Can you help me. I have 10 minutes to do this. Thanks!
Answer:
To find the difference in degrees Celsius between Oklahoma's and New Jersey's record low temperatures, we first need to convert both temperatures to Celsius or Fahrenheit. Since Oklahoma's temperature is given in Fahrenheit and New Jersey's temperature is given in Celsius, we'll convert Oklahoma's temperature to Celsius.
Using the formula F = 1.8C + 32, we can solve for C:
-31°F = -35°C
(To see how we arrived at this conversion: first, we use the formula to convert Fahrenheit to Celsius: F = 1.8C + 32. Rearranging the equation, we can solve for C: (F - 32) / 1.8 = C. Plugging in -31°F for F, we get (-31 - 32) / 1.8 = -35°C)
Now we can find the difference in Celsius between the two temperatures:
|-35°C| - |-37°C| = |-2| = 2°C
So the difference in degrees Celsius between Oklahoma's and New Jersey's record low temperatures is 2°C.
What is the standard form of the equation of the circle with the center and a radius of square 2 divided by 4
The standard form of the equation of the circle with center and radius of square 2 divided by 4 is (x - 1/2)² + (y + 1/2)² = 1/8.
The standard form of the equation of a circle is (x - h)² + (y - k)² = r², where (h, k) is the center of the circle and r is the radius.
To use this formula, we first need to find the values of h, k, and r for the given circle with center and radius of square 2 divided by 4.
We know that the center of the circle is (h, k) = (2/4, -2/4) = (1/2, -1/2).
This means that h = 1/2 and k = -1/2.
The radius of the circle is r = square 2 divided by 4.
We can write this as r² = (square 2 divided by 4)² = 2/16 = 1/8.
Now we can substitute these values into the standard form equation to get:
(x - 1/2)² + (y + 1/2)² = 1/8
So the standard form of the equation of the circle with center and radius of square 2 divided by 4 is (x - 1/2)² + (y + 1/2)² = 1/8.
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A. ASA
B. SAS
C. HL
D. none of the above
Therefore , the solution of the given problem of congruence comes out to be the response is option A. ASA.
Congruence: What is it?Two angles are spoken to be congruent when their respective shapes have the same dimensions. Similar to that, if the sides of one form are now exactly the same length as the edges of another figure, the edges are congruent.
Here,
We can identify the sort of congruence between the two triangles based on the provided figure.
We can see that segment AC and segment DF are the only pair of congruent sides shared by the two rectangles.
Additionally, angle A and angle D as well as angle C and angle F are two sets of congruent angles.
In light of this,
we can use the Angle-Side-Angle (ASA)
congruence criterion, which says that two triangles are congruent if they have two pairs of congruent angles and a congruent side between them.
Therefore, the response is A. ASA.
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A gamer is observing her score, y, as she plays a video game. She currently has 3,200 points and is gaining 200 points for every minute, x, she plays.
Which of the following equations can be used to describe this linear relationship?
A. y = 3,200x − 200
B.y = 3,200x + 200
C. y = 200x − 3,200
D. y = 200x + 3,200
Answer: d
Step-by-step explanation:
the slope is positive 200 because she is gaining 200 points for every minute which is x. 200x or 200 multiplied by x is her slope and her y intercept is 3200
Given f(x)=5x+7 and g(x)=2x+2, find g(g(1-3w))
Enter as the final value or expression without parentheses
As a result, the final number or expression is g(g(1-3w)) ≈ -12w + 10 (without parenthesis).
Which of these are they known as?When adding extraneous information or perhaps an afterthought to a sentence, parentheses, a pair or punctuation marks, are most frequently utilized. Two curving vertical lines can be seen in parentheses: ( ).
We must first evaluate g(1-3w) and then re-insert that result into g(x) in order to determine g(g(1-3w)).
We must first determine g(1-3w):
Substitute x with 1-3w to get g(x) ≈ 2x + 2 and g(1-3w) ≈ 2(1-3w) + 2.
g(1-3w) ≈ 2 - 6w + 2 (distribute the 2)
g(1-3w) ≈ -6w + 4 (combine similar terms) (combine like terms)
We can again again enter the result of g(1-3w) into g(x):
If you substitute g(1-3w) for x, then g(x) ≈ 2x + 2 g(g(1-3w)) ≈ 2(-6w Plus 4) + 2
g(g(1-3w)) ≈ -12w + 8 + 2 (allocate the 2) (distribute the 2)
g(g(1-3w)) ≈ -12w + 10 (combine comparable terms) (combine like terms)
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What is the circumference of the circle in terms of pi? The radius of the circle is 8 yards Answers: 8pi yards 4pi yards 64pi yards 25.12pi yards
The circumference of the circle in terms of pi is 16π yards.
The circumference of a circle is the distance around the edge or perimeter of the circle. It is the length of a closed curve and can be measured by using a flexible measuring tape or a string to wrap around the circle. The formula for the circumference of a circle is C = 2πr, where C is the circumference, r is the radius of the circle, and π is the mathematical constant pi (approximately equal to 3.14159). The circumference of a circle is proportional to its radius and increases as the radius increases. Therefore, if we know the radius of a circle, we can use the formula to find its circumference, and if we know the circumference, we can use the formula to find the radius. The circumference is an important concept in geometry and is used in many real-world applications, such as calculating the length of a fence needed to enclose a circular garden or the distance traveled by a car moving around a circular racetrack.
Substituting the given value of the radius, we get:
C = 2π(8) = 16π
Therefore, the circumference of the circle in terms of pi is 16π yards.
So the answer is 16pi yards.
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a librarian has 10 nonfiction and eight fiction books from which to choose the next three book club selections.what is the approximate probability that she chooses a fiction book, then a nonfiction book, then a fiction book?
The probability that a librarian chooses a fiction book, then a nonfiction book, then a fiction book is approximately 0.305.
The solution to this problem is a probability calculation.
To calculate the probability of selecting a fiction book, then a nonfiction book, then a fiction book from a selection of 10 nonfiction books and eight fiction books, we need to use the multiplication rule of probability.
The multiplication rule states that the probability of two or more independent events happening together is equal to the product of their individual probabilities.
To apply this rule, we'll break down the question into three events:
Probability of choosing a fiction book = 8/18 = 4/9
Probability of choosing a nonfiction book (after selecting a fiction book) = 10/17
Probability of choosing a fiction book (after selecting a nonfiction book) = 8/16 = 1/2
Now we can use the multiplication rule:4/9 * 10/17 * 1/2 = 0.305 (rounded to three decimal places)
Therefore, the approximate probability that the librarian will choose a fiction book, then a nonfiction book, then a fiction book is 0.305.
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help please?!This sphere has a radius of 6 cm.
What is the surface area of the sphere?
Enter your answer, in exact form, in the box.
Answer:
Step-by-step explanation:
It's[tex]288\pi in2[/tex]Answer:
Step-by-step explanation:
Here is real answer :>
Find the x-intercept of 3 tan(3x) over the interval (pi/6,3pi/6)
Express your answer in terms of pi.
The x-intercepts of the function 3 tan(3x) over the interval (π/6, 3π/6) are:
x = π/3 and x = 2π/3
What is function ?
A function is a mathematical object that takes one or more inputs, called the arguments or variables, and produces a unique output. The output is determined by a set of rules that specify how the function operates on the inputs. In other words, a function is a relationship between inputs and outputs.
Functions are typically denoted by a symbol or a name, such as f(x) or g(t). The input is usually represented by a variable, such as x or t, while the output is represented by the function value, such as f(x) or g(t).
Functions are used extensively in mathematics, science, engineering, and many other fields. They provide a way to model and analyze real-world phenomena, and they are essential tools for solving many problems in these fields. Examples of functions include polynomial functions, exponential functions, trigonometric functions, and logarithmic functions.
To find the x-intercept of the function 3 tan(3x) over the given interval, we need to find the values of x where the function equals zero.
Let's first simplify the function:
3 tan(3x) = 0
tan(3x) = 0
We know that tan(π/2) is undefined and that tan(π) = 0. Since the period of the tangent function is π, we can say that:
tan(3x) = 0 --> 3x = nπ for n ∈ ℤ
Now we solve for x:
3x = nπ
x = nπ/3
Since the interval is (π/6, 3π/6), we need to find the values of x that satisfy:
π/6 < x < 3π/6
π/6 < nπ/3 < 3π/6
1/2 < n < 3/2
So the values of x that satisfy the given condition are:
x = π/3 and x = 2π/3
Therefore, the x-intercepts of the function 3 tan(3x) over the interval (π/6, 3π/6) are:
x = π/3 and x = 2π/3
Expressed in terms of π, the x-intercepts are:
π/3π and 2π/3π, which simplify to:
x = 1/3 and x = 2/3.
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how do these histograms demonstrate what the central limit theorem says about the sampling distribution model for sample means.
The histograms demonstrate that as sample size increases, the distribution of sample means becomes more normal, which is in line with the central limit theorem.
Histograms can be used to graphically represent a probability distribution, which is a measure of how likely it is that a random variable will take on a particular value.
The central limit theorem states that as the sample size increases, the sampling distribution of the mean approaches a normal distribution, regardless of the shape of the population distribution.
The histograms demonstrate this by showing the distribution of sample means for different sample sizes. As the sample size increases, the shape of the histogram becomes more normal, with a narrower and taller distribution.
Therefore, this demonstrates that the central limit theorem holds true, as the distribution of sample means becomes more normal as sample size increases, regardless of the shape of the population distribution.
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jonathan is making chili for a get-together. his recipe calls for 1 1/2 cups of diced tomatoes for every 4 cups of chili. he wants to make 9 cups of chili. how many cups of diced tomatoes should he put in the chili?
2 3/4 cups of diced tomatoes should he put in the chili.
How many glasses should there be?
Simply said, a fraction is a portion of a whole. Mathematically, the number is expressed as a quotient with split numerator and denominator. The numerator and denominator of a simple fraction are both integers.
Tomatoes in cups expressed as a fraction higher than 1.
A mixed fraction is 2 3/4. Because it combines a full number with a fraction, it is known as that.
We must change the mixed fraction into an improper fraction in order to calculate the quantity of cups of tomatoes stated as a fraction greater than 1.
A fraction that has a larger numerator than denominator is said to be improper.
2 3/4 ⇒ ((2*4)+3)/4 ⇒ (8+3)/4 ⇒ 11/4
A fraction that is bigger than one is 11/4.
A fraction with the value 1 is 4/4. Hence, any fraction that has a numerator larger than one and less than four is a fraction. It is 11/4 in this instance.
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a sample of 116 motels is selected from a large urban area and the price for a night of lodging for a single room was determined for each motel. the mean rate is computed to be $91 and the standard deviation is $14 . one motel charged $55 per night which is the 15th percentile. another motel charged $118 per night which is the 75th percentile. step 2 of 5: how many motels charged $118 or less per night? round your answer to the nearest integer.
By standard deviation, The required number of motels that charged 118 or less per night is 87 (approx).
We are to determine how many motels charged 118 or less per night. We can use the normal distribution table to find out the z-score for the 75th percentile. We can then use this z-score to find out the price of lodging per night for the 118th percentile.
The formula to calculate the z-score is:[tex]z=\frac{X-\mu}{\sigma}[/tex], where X is the price of lodging per night, [tex]$\mu$[/tex]is the mean rate, [tex]$\sigma$[/tex] is the standard deviation.
The z-score for the 75th percentile is found using the normal distribution table as: z = 0.67 (approx). For the 75th percentile, the motel charged $118 per night. Therefore, we can write the formula as:[tex]0.67 = \frac{118 - 91}{14}[/tex] Simplifying, we get: [tex]0.67 = \frac{27}{14}[/tex]
Therefore, we can conclude that:118 = 91 + 14 [tex]\times[/tex] 0.67 Or, X = [tex]\mu[/tex] + z[tex]\sigma[/tex]= 91 + 0.67 [tex]\times[/tex] 14 = 100.38. Thus, motels that charged 118 or less per night can be found as follows: [tex]$$P(X \leq 118)[/tex]=[tex]P(Z \leq z)$$$$[/tex] = [tex]P(Z \leq 0.67)$$$$[/tex]= 0.7486.
Hence, the number of motels that charged 118 or less per night is:
0.7486 [tex]\times[/tex]116 = 87.06. Rounding it to the nearest integer, we get: 87 (approx). Therefore, the required number of motels that charged 118 or less per night is 87 (approx).
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Rita started the day with R apps. then she deleted 5 apps and still had twice the amount of Cora (36). write an equation that represents the number of apps both girls have
Answer:
Step-by-step explanation:lllllLet's start by using "R" to represent the number of apps that Rita started with, and "C" to represent the number of apps that Cora started with.
We know that Rita deleted 5 apps, so she would have (R-5) apps remaining. And we know that she still had twice the amount of Cora, which is 36.
So we can write the equation:
R-5 = 2C
And we also know that Cora had 36 apps, so we can substitute that value in for C:
R-5 = 2(36)
Simplifying the right side:
R-5 = 72
Finally, we can solve for R by adding 5 to both sides:
R = 77
So Rita started with 77 apps, and Cora started with 36 apps. We can check that Rita deleted 5 and had twice as many as Cora by plugging our values into the original equation:
77 - 5 = 72
2(36) = 72
Both sides are equal, so our solution is correct.
on a biased dice, the probability of getting a two is 0.1. the dice is rolled 250 times
Answer:
If the probability of getting a two on a biased dice is 0.1, then the probability of not getting a two is 0.9.
To find the expected number of times a two is rolled in 250 rolls:
Expected value = (probability of an event occurring) x (number of trials)
Expected number of twos = 0.1 x 250 = 25
To find the expected number of times a number other than two is rolled in 250 rolls:
Expected number of non-twos = 0.9 x 250 = 225
Therefore, we would expect to roll a two 25 times and a number other than two 225 times in 250 rolls of this biased dice.
Answer:
0.790, or 79%.
Step-by-step explanation:
If the probability of getting a two on a biased dice is 0.1, then the probability of not getting a two is 0.9.
We can use the binomial distribution to calculate the probability of getting a certain number of twos in 250 rolls of the dice. The formula for the binomial distribution is:
P(X = k) = C(n, k) * p^k * (1-p)^(n-k)
Where:
P(X = k) is the probability of getting exactly k twos
n is the number of trials (250 rolls)
k is the number of successes (getting a two)
p is the probability of success (0.1)
(1-p) is the probability of failure (0.9)
C(n, k) is the number of ways to choose k successes from n trials (n choose k)
To calculate the probability of getting exactly k twos in 250 rolls, we plug in the values for n, k, p, and (1-p) into the formula:
P(X = k) = C(250, k) * 0.1^k * 0.9^(250-k)
We can use a calculator or a software program to find the probabilities for different values of k. Here are some examples:
The probability of getting no twos (k = 0) is P(X = 0) = C(250, 0) * 0.1^0 * 0.9^250 = 0.057
The probability of getting exactly one two (k = 1) is P(X = 1) = C(250, 1) * 0.1^1 * 0.9^249 = 0.153
The probability of getting at least two twos (k >= 2) is the complement of the probability of getting zero or one two:
P(X >= 2) = 1 - P(X = 0) - P(X = 1)
= 1 - 0.057 - 0.153
= 0.790
Therefore, the probability of getting at least two twos in 250 rolls of the biased dice is approximately 0.790, or 79%.
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Answer: yes, yes, no
Explanation: In order for a figure to be a triangle, the two smallest sides must add up to be larger than the biggest side. The reason why the last one isn't a triangle is because 6+8 EQUALS 14 and is not greater than 14.
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Write an explicit formula that can be used to find the number of bacteria cells after each generation. Then use the formula to find how many cells there are after 10 generations.
Answer:
N = N0 x 2^n
Step-by-step explanation:
The formula for calculating the number of bacteria cells after n generations is N = N0 x 2^n, where N is the total number of cells after n generations, N0 is the initial number of cells, and 2^n represents the number of times the population doubles after n generations. Assuming an initial population of 100 cells, there will be approximately 102,400 cells after 10 generations.
Answer:
The explicit formula for the number of bacteria cells after each generation can be written as:
N = N0 * r^n
Where:
N is the number of bacteria cells after n generations
N0 is the initial number of bacteria cells (at n=0)
r is the growth rate (how many new cells are produced per existing cell)
Assuming that each bacteria cell doubles in number with each generation (i.e. r=2), the formula can be simplified to:
N = N0 * 2^n
To find the number of cells after 10 generations, we can substitute n=10 into the formula:
N = N0 * 2^10
Since we don't have a specific value for N0, we can't find the exact number of cells after 10 generations. However, we can make some assumptions. For example, if we assume that there are initially 100 bacteria cells (N0=100), we can calculate:
N = 100 * 2^10 = 102,400
So, if each bacteria cell doubles in number with each generation and there were initially 100 cells, there will be 102,400 cells after 10 generations.
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solve for x and find it
[tex]\frac{65x-14x+49-4}{14} = 36[/tex]The value of x is 9.
What is inquality?Inequality refers to a situation where there is a significant difference in the distribution of resources, opportunities, and power among individuals or groups in a society. It is a complex social and economic phenomenon that can manifest in various forms such as income inequality, wealth inequality, gender inequality, racial inequality, educational inequality, and healthcare inequality, among others.
Given by the question.
[tex]\frac{9x+7}{2} - \frac{7x-x+2}{7} = 36[/tex]
[tex]\frac{63x+44-14x+2x+4}{14} = 36[/tex]
[tex]\frac{65x-14x+49-4}{14} = 36[/tex]
[tex]51x+45=504\\51x= 459\\x=9[/tex]
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mental ability
hardest queston for grade 7
you are god if you did and explained properly
i will mark you as brainliest
optinons are-:
173
153
182
142
Answer:
153
Step-by-step explanation:
The relationship in the row is below
4³ +2³ +1³ =64 + 8 +1 = 72
1³ + 2³ +6³= 1 + 8 + 216
3³ + 1³ + 5³ = 27 +1 +125 = 153
All numbers below the first level are raised to power 3 and added together
a random sample is normally distributed. if all values in the sample and all values in the population are multiplied by 2, what is the impact on cohen's d?
Multiplying values by 2 in a normally distributed random sample and population increases the effect size as measured by Cohen's d.
The impact of multiplying all values in a normally distributed random sample and population by 2 on Cohen's d is an increase in effect size. Cohen's d measures the degree of difference between two sets of scores, calculated by dividing the difference between the two means by the pooled standard deviation. Therefore, when values are multiplied by 2, the means increase, leading to an increase in effect size as measured by Cohen's d.
In addition, multiplying values by 2 also increases the magnitude of the standard deviation, which is a measure of spread. When the standard deviation is larger, it requires a larger mean difference for Cohen's d to register a significant effect. Therefore, by increasing the standard deviation, the effect size measure will increase.
To summarize, multiplying values by 2 in a normally distributed random sample and population increases the effect size as measured by Cohen's d. This is because multiplying values by 2 increases both the mean and the standard deviation, which results in a larger mean difference and a larger standard deviation, respectively. Consequently, the effect size measure increases.
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