The probability of tossing 3 heads in a row is P = 0.125, and after that, because the events are independent, the probability of getting heads (or tails) still is p = 0.5
How to find the probability?Assuming that we have a fair coin, we assume that both outcomes have the same probability, so:
P(tails) = 0.5
P(heads) = 0.5
Then the probability of getting heads 3 times in a row, is the product of the probability of getting heads 3 times, this will be:
P(3 heads) = 0.5*0.5*0.5
P(3 heads) = 0.5^3
P(3 heads) = 0.125
Now, after this point, what is the probability of getting heads or tails?
Remember that each toss of the coin is independent of the previous one, so the probability of getting tails still is 0,5, and the same for the probability of getting heads.
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What is the simplified value of the expression below?
3 (8 minus 4) + 2 times 5.5
Answer:
23
Step-by-step explanation:
A science teacher makes two mixtures of red dye and water. Mixture A has 3 mL of red dye every 20 mL of water. Mixture B has 4mL of red dye fr every 30 mL of water. Which mixture is redder?
The decimal value of the ratio for A is greater than for B. Then mixture A is redder.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Two red dye and water combinations are created by a science teacher. For every 20 mL of water in Mixture A, 3 mL of red dye is present. For every 30 mL of water in Mixture B, 4 mL of red dye is present.
The ratio of the red dye to water for A is given as,
⇒ 3 / 20
⇒ 0.15
The ratio of the red dye to water for B is given as,
⇒ 4 / 30
⇒ 0.133
The decimal value of the ratio for A is greater than for B. Then mixture A is redder.
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You give tours on the Great Lakes and talk about points of interest. A lighthouse typically has 2 beacons that rotate together but not necessarily facing opposite directions. In that way, it can be a shorter time between the first and second flashes than between the second flash and the third flash
(when the first beacon comes around for the second time). One way of identifying which lighthouse you are looking at is to find the ratio of the short time between flashes to the long time between flashes. If the beacons are set 120 degrees apart along the rotation, ash shown below, what is this ratio?
The required ratio is 1:2.
What is ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other.
Given that, A lighthouse typically has 2 beacons that rotate together but not necessarily facing opposite directions, it can be a shorter time between the first and second flashes than between the second flash and the third flash, One way of identifying which lighthouse you are looking at is to find the ratio of the short time between flashes to the long time between flashes. The beacons are set 120 degrees apart along the rotation
If the second beacon is 120° after the first, then the first is 360° -120° = 240° after the second.
Therefore, the ratio of the times between beacons is =
120° : 240° = 1 : 2
Hence, the ratio is 1 : 2
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Flying against the wind, an airplane travels 4720 kilometers in 8 hours. Flying with the wind, the same plane travels 4040 kilometers in 4 hours. What is the rate of the plane in still air and what is the rate of the wind?
The rate of the plane in still air is 800 km/h while the rate of the wind is 210 km/h
What is an equation?An equation is an expression composed of variables and numbers linked together by mathematical operations.
Let x represent the speed of the airplane in still air and y represent the speed of the wind.
Flying against the wind, an airplane travels 4720 kilometers in 8 hours. Hence:
x - y = 4720 km / 8 hr
x - y = 590 (1)
Flying with the wind, the same plane travels 4040 kilometers in 4 hours. Hence:
x + y = 4040 km / 4 hr
x + y = 1010 (2)
From both equations:
x = 800, y = 210
The speed of the airplane is 800 km/h
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prime numbers of the form p and p+2, where p is a prime number, are known as ______ prime numbers
Prime numbers of the form p and p+2, where p is a prime number, are known as twin prime numbers.
What is the Prime numbers about?
A twin prime is a prime number that is either 2 less or 2 more than another prime number. For example, the number 3 and 5 are twin primes, because they are both prime and the number 5 is 2 more than 3. Similarly, the number 5 and 7 are also twin primes, because they are both prime and the number 7 is 2 more than 5.
Therefore, Twin primes are considered as interesting numbers in number theory because of their relative rarity, rare in nature and because they are the building blocks for certain types of primes such as Sophie Germain primes and safe primes.
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A researcher wishes to determine what percentage of college freshmen also work full time. To do this, the researcher obtains a list of all enrolled freshunen, manipulates the list so that females appear twice is often as males, and then selects from this list
a. Probability Sampling
b. Convenience Sampling
c. Voluntary Sampling
d. Stratified Sampling
e. None of the above
Answer:
d. Stratified Sampling
Step-by-step explanation:
Stratified Sampling is a form of sampling in which the researcher selects a population sample based on a demographic factor or strata such as race or gender. From the different strata, a random sample is then made such that each group or subpopulation is represented in the final sample.
It should be noted that retaining the percentages while selecting a randomized sample is essential to stratified sampling.
Hence, in this case, when the researcher obtains a list of all enrolled freshmen, manipulates the list so that females appear twice as often as males, and then selects from this list, this is an example of stratified sampling
pls help last test or semester half my grade pls pls pls i’ll give brainliest
Therefore , the solution of the given problem of function comes out to be satisfies the given function is x=9 and y=21.
What is function?Any input will only result in one or zero outcomes for the function. The expression does not define the function if there are several outputs for a given input. Each value of x must have only one output value of y variable in order for anything to be a function.
Here,
Given : A table of values of x and y
To find : the function is linear or not
Thus,
F(x) = y -3x =0
So,
Putting the values of x and y in given function
The value which satisfies the given function is x=9 and y=21.
Therefore , the solution of the given problem of function comes out to be
satisfies the given function is x=9 and y=21.
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17. Among 2.6, 2.006, 2.66 and 2.08, the largest number is (a) 2.006 (b) 2.08 (c) 2.6
Answer:
2.66
Step-by-step explanation:
Answer:
2.66
Step-by-step explanation:
look at first at tenths for the biggest no .if there is a tie proceed to hundredths for biggest no and so on
Plz help I need fast.
Answer:
last one
Step-by-step explanation:
Answer:
Melanie get $1
Step-by-step explanation:
let the money that Melanie gets be x
4.1:20.5=x:$5.00
4.1/20.5=x/$5.00
20.5x=4.1*$5.00
x=$20.5/20.5
x=1
therefore,Melanie will get $1
I need the answer fast pls
Answer:
13 is the right answer
Step-by-step explanation:
is the right answer
.
For the following data set, find Q1, Q2, Q3 and the interquartile range.
15, 12, 23, 15, 7, 8, 21, 10, 12, 14, 16, 24, 19
1.
Interquartile Range
2.
Q3
3.
Q2
4.
Q1
a.
15
b.
9
c.
20
d.
11
Answer:
To find Q1, Q2, Q3, and the interquartile range (IQR) of a data set, we need to first arrange the data in numerical order. For the given data set, the ordered data is:
7, 8, 10, 12, 12, 14, 15, 15, 16, 19, 21, 23, 24
To find Q1, we need to find the median (Q2) of the lower half of the data. The lower half of the data is:
7, 8, 10, 12, 12, 14
There are 6 values in the lower half of the data, so the median (Q2) is the average of the 3rd and 4th values, which is (10 + 12) / 2 = 11. Therefore, Q1 = 11.
To find Q3, we need to find the median (Q2) of the upper half of the data. The upper half of the data is:
15, 15, 16, 19, 21, 23, 24
There are 7 values in the upper half of the data, so the median (Q2) is the fourth value, which is 19. Therefore, Q3 = 19.
To find the IQR, we need to subtract Q1 from Q3. The IQR is equal to Q3 - Q1 = 19 - 11 = 8.
The correct answers are:
1. Interquartile Range = 8
2. Q3 = 19
3. Q2 = 11
4. Q1 = 8
Therefore, the correct answer choices are:
a. 15 (incorrect)
b. 9 (incorrect)
c. 20 (incorrect)
d. 11 (correct)
Which is the largest interval over which the function shown in the table is increasing?
A. X<-2
B. X<0
C. X>0
D. X>2
Step-by-step explanation:
I would suggest graphing the function, as I did, and you will find the function is an inverted parabola.
The function is increasing at points along the function that have a positive slope. Imagine a line tangent to the function where m is > zero
based on that and the graph you can see that the function is increasing with a positive slope at all points less than zero x<0 answer B
Can someone please help me like fast??
Answer:
Number 6:
A: C= 5
B: D= 9
C: X= -7/3
D: M= 12
The design of a digital box camera maximizes the volume while keeping the sum of the dimensions at 4.5 inches. If the length must be 1.5 times the height, what should each dimension be?
We want to estimate the percentage of political figures who will make a social media
presence by posting an average of 1,000 posts per year next year. How many accounts
must we include in the sample next year, if we want our proportion estimate to be within
20 percentage points at a 90% level of confidence?
Answer:
0.0208
Step-by-step explanation:
Using the formula for calculating margin of error is expressed as;
M = z * √p(1-p)/n
z is the z score at 90 % interval
p is the proportion
n is the sample size
p = 0.2
n = 1000
z = 1.645
M = 1.645 * √0.2(1-0.2)/1000
M = 1.645 * √0.2(0.8)/1000
M = 1.645 * 0.01264
M = 0.0208
Hence the margin of error is 0.0208
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answer:
9.3
Step-by-step explanation:
Answer:
9.3
Step-by-step explanation:
[tex]A^{2} +B^{2} =C^{2}[/tex]
[tex]6.1^{2} +7^{2} =C^{2}[/tex]
[tex]37.21+49=C^{2}[/tex]
[tex]86.21=C^2[/tex]
[tex]9.28493403315=C[/tex]
[tex]9.3=C[/tex]
can someone help it’s due tomorrow
Answer:
It is A
Step-by-step explanation:
a is between 0 and 1 because in that little section in the fourth quadrant(the bottom right part of the graph) the y increases by around 12, and the x only increases by 8, which means the slope is 8/12, or 2/3. a is equal to the slope, so it is between 1 and 0. b is less then 1, because the y intercept is below the x axis, and b controls the y intercept, so b is negative, and therefore less then 1. Sorry if this is a bad explanation.
The mathematics faculty at a college consists of 11 professors, 12 associate professors, 7 assistant professors, and 6 instructorsIf faculty member is selected , find the probability of choosing a professor or an instructor
Answer:
The probability of choosing a professor or an instructor is 47.22%.
Step-by-step explanation:
Given that the mathematics faculty at a college consists of 11 professors, 12 associate professors, 7 assistant professors, and 6 instructors, if a faculty member is selected, to find the probability of choosing a professor or an instructor the following calculation must be performed:
11 + 12 + 7 + 6 = 100
11 + 6 = X
36 = 100
17 = X
17 x 100/36 = X
1700/36 = X
47.22 = X
The probability of choosing a professor or an instructor is 47.22%.
For accounting purposes, the value of assets (land, buildings, equipment) in a business are depreciated at a set rate per year. The value, V(t) of $537,000 worth of assets after t years, that depreciate at 17% per year, is given by the formula V(t) = Vo(b)t. What is the value of Vo and b, and when rounded to the nearest cent, what are the assets valued at after 9 years?
a
Vo = $537,000, b = 0.17, and the value after 9 years is $0.45
b
Vo = $537,000, b = 0.83, and the value after 9 years is $100,386.92
c
Vo = $537,000, b = 1.17, and the value after 9 years is $98,291.76
d
Vo = $537,000, b = 0.83, and the value after 9 years is $91,290.00
Answer:
I think it is D
Step-by-step explanation:
u
Question 8
Find the value of the variable in the parallelogram.
(6a + 10)
130°
Answer:
20
Step-by-step explanation:
(6a + 10) = 130
(6 x 20) + 10 = 130
120 - 10 = 130
130 = 130
3. Solve for m. Please help
Answer:
m = 13 or greater
Step-by-step explanation:
20 - 7 = 13
13 is the minimum value for m to satisfy the inequality.
Answer:
m ≥ 13
Step-by-step explanation:
m+7 ≥ 20
Subtract 7 from both sides:
m+7-7 ≥ 20-7
m ≥ 13
multiply the following binomials
(x+3)(x-4)
(s-2)(2s+4)
Step-by-step explanation:
x²-4x+3x-12
x²-x-12.
2s²+4s-4s-8
2s²-8
help me with this question please
Answer:
[tex] \sf \: a) \: 1[/tex]
Step-by-step explanation:
Given values of variables,
→ e = 3.2
→ d = 10
→ u = 7
The problem needed to solve is,
[tex] \sf \rightarrow \: \frac{ue}{eu} [/tex]
Let's solve the problem,
[tex] \sf \rightarrow \: \frac{ue}{eu} [/tex]
[tex] \sf \rightarrow \: \frac{(7 \times 3.2)}{(3.2 \times 7)} [/tex]
[tex] \sf \rightarrow \: \frac{22.4}{22.4} [/tex]
[tex] \sf \rightarrow \: \frac{1}{1} = 1[/tex]
Hence, option (a) is correct.
Answer:
Option A ) 1
Step-by-step explanation:
[tex]\frac{ue}{eu} = \frac{3.2X7}{7X3.2} = \frac{22.4}{22.4} = 1[/tex]
Hence , Option A ) is the answer
What is an equation for the linear function whose graph contains the points (9, 7) and (4, −8)?
Enter your answers in the boxes.
The line that passes through these two points is y=x-2
What are linear equations?Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.
Given here function whose graph contains the points (9, 7) and (4, −8)
Thus using the two point formula for a line we get the equation as y-7=(x-9)
y=x-2
Hence, The line that passes through these two points is y=x-2
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question is in photo
there are no good answers on brainily can someone pls answer this
Answer:
D
Step-by-step explanation:
first simplify everything
2/9v + 1/3v - 5/9
A and B is wrong because it is - 5/9 not + 5/9
C is wrong because it is -1/3v not 1/3, it is supposed to be - 5/9
You can solve this problem without much solving
hope this helps :)
8. Crayons are packed in boxes of 8 and 10 pieces. What is the smallest number of crayons
that can be packed using the boxes?
B. 48 crayons
C. 50 crayons
A. 40 crayons
D. 54 crayons
Step-by-step explanation:
48 is the answer it is correct check it
What is the slope of the line that passes through the points (-4, -6) and (1, -6)? Write your answer in simplest form
The slope of the line that passes through the points (-4, -6) and (1, -6) is zero and hence the line is parallel to the x-axis.
What is slope?The slope is the rate of change of the y-axis with respect to the x-axis.
The equation of a line in slope-intercept form is y = mx + b, where
slope = m and y-intercept = b.
We know the greater the absolute value of a slope is the more steeper is its graph or rate of change is large.
We know slope(m) = (y₂ - y₁)/(x₂ - x₁).
Therefore, The slope of the line that passes through the points (-4, -6) and (1, -6) is,
m = (- 6 + 6)/(- 4 - 1).
m = - 0/5.
m = 0.
As the slope is equal to zero the line is parallel to the x-axis.
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State how many negative real roots there may be for the function.
f(x) = x³ +7x² - 5x + 19
4 or 2 or o negative real roots
2 or o negative real roots
3 or 1 negative real roots
1 negative real root
There are two sign changes in the coefficients, which means that there could be 2 or 0 negative roots. So the answer is "2 or 0 negative real roots"
Define Equation.The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
Define Algebraic expression.An algebraic expression in mathematics is an expression created using variables, constant algebraic numbers, and algebraic operations. A good example of an algebraic expression is 3x2 2xy + c.
The function f(x) = x³ +7x² - 5x + 19 is a polynomial function of degree 3, which means it has 3 roots (also known as zeros or solutions) that could be real or complex.
To determine the number of negative real roots, we can use the fact that a cubic function has at least one real root.
x³ +7x² - 5x + 19
the first coefficient is positive, the second is positive, the third is negative, and the fourth is positive.
There are two sign changes in the coefficients, which means that there could be 2 or 0 negative roots. So the answer is "2 or 0 negative real roots"
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أحتاج إلى مساعدة كيف تقدم كوزي free brainleist if you tell me!
Answer:
i need help how to progress cozy
Step-by-step explanation:
Answer:
ضع رأسك على كتفي ~ Its so cool that you speak arabic i speak a little bit
Step-by-step explanation:
Hope you have a good day and summer!
Can i have brainliest please also? i need one to level up my ranking on here