Answer:To divide -5 by 1,000, we can use a calculator or perform long division.
Using a calculator, we get -0.005 as the result.
To perform long division, we can follow these steps:
1. Write -5 as the dividend and 1,000 as the divisor.
2. Place the divisor outside the long division bracket and the dividend inside the bracket.
3. Divide the first digit of the dividend by the divisor. In this case, 1,000 does not go into -5, so we write 0 as the first digit of the quotient.
4. Bring down the next digit of the dividend (which is 0) and place it next to the 0 in the quotient.
5. Divide 1,000 into 0, which gives 0 as the next digit of the quotient.
6. Continue bringing down digits from the dividend and dividing until you have enough decimal places in the quotient. In this case, we can stop after two decimal places because we know the answer is not 200.
7. The final result is -0.005.
Therefore, -5 divided by 1,000 is equal to -0.005.
6 SOURCES
1
wolframalpha.com favicon
Powered by Wolfram|Alpha
2
everydaycalculation.com favicon
everydaycalculation
3
rapidtables.com favicon
rapidtables
4
calculator.net favicon
calculator
5
mathwarehouse.com favicon
mathwarehouse
6
omnicalculator.com favicon
omnicalculator
RELATED
what is the result of dividing -5 by 1,000
how to use a long division calculator to divide -5 by 1,000
what is the remainder when dividing -5 by 1,000
St
Find the value of $x$ . Two segments start at a point outside the circle intersect the circle at two points that divide the segments. The length of the first segment is 45 units and length of the segment outside the circle is labeled x. The length of second segment is 50 units and length of the segment outside the circle is 27 units. $x\ =\ $
The value of x is 29.5 units. Since the segments inside the circle have the same length, we can set 52.5 - x = 23 and get the value of x.
What is radius?It is half of the diameter of the circle. The radius is used to calculate the area of a circle and the length of an arc or a circular sector.
In order to find the value of x, we need to first determine the radius of the circle.
In this problem, the first shorter side is 45 units, and the second shorter side is 27 units. Thus, we can find the radius of the circle by using the following method,
Radius of the circle = √(45² + 27²)
= √(2754) = 52.5 units
Now that we know the radius of the circle, we can use this information to find the value of x. We know that the total length of the first segment is 52.5 units. This means that the length of the segment outside the circle is x units and the length of the segment inside the circle is 52.5 - x units.
Similarly, the total length of the second segment is 50 units, so the length of the segment outside the circle is 27 units and the length of the segment inside the circle is
50 - 27 = 23 units.
Since the segments inside the circle have the same length, we can set 52.5 - x = 23 and solve for x.
52.5 - x = 23
x = 52.5 - 23
x = 29.5 units
Therefore, the value of x is 29.5 units.
For more questions related to radius
https://brainly.com/question/27696929
#SPJ1
f(x)=2x^5−x^4+4x^3−3x^2−31x−5
. Find f(−3/2)
.
Answer:
f(-3/2) = -411/16.
The Area of a Rectangle is 40. The width is 2 less than 3
times the length. Find the width.
O 10
O 12
O 15
O 14
Based on the above, the width of the rectangle is 10.
What is the width?Let's use "w" to represent the width and "l" to represent the length of the rectangle.
From the problem, we know that the area of the rectangle is 40, so we can write:
Area = length × width
40 = l × w
We also know that the width is 2 less than 3 times the length, so we can write:
width = 3l - 2
Now we can substitute this expression for "w" in the equation for the area: 40 = l × (3l - 2)
Expanding the right side gives: 40 = 3l² - 2l
Rearranging and dividing by 2 gives:
3l²- 2l - 40 = 0
(3l + 10)(l - 4) = 0
Therefore, l = 4 (because the length cannot be negative), and we can find the width using the expression we found earlier:
width = 3l - 2
width = 3(4) - 2
width = 10
So the width of the rectangle is 10. Therefore, the answer is 10.
Learn more about width from
https://brainly.com/question/15161439
#SPJ1
What are the coordinates of point P on the directed line
segment from R to Q such that P is the length of the
line segment from R to Q? Round to the nearest tenth,
if necessary.
Hence, point P's coordinates are (6, 3) as the midpoint of the line segment from R to Q, which is the precise halfway point between R and Q.
what is coordinates ?A point's location on a line or in space can be determined using a set of numbers called coordinates. An x-coordinate and a como, which denote the horizontal as well as vertical ranges from a bench mark known as the origin, are the two numbers that make up coordinates in two-dimensional space. Three numbers, the x, y, and z coordinates, which describe the distances from origin in the x, y, and g directions, respectively, might make up coordinates in three-dimensional space. Among other disciplines, coordinates are frequently employed in physics, arithmetic, and geometry.
given
The midpoint of the line segment from R to Q, which is the precise halfway point between R and Q, must be located in order to determine the coordinates of point P.
We can separately aver the x- and y-coordinates to get the middle.
The midpoint's x-coordinate is (4 + 8)/2, which equals 6.
(0 + 6)/2 = 3 is the midpoint's y-coordinate.
Hence, point P's coordinates are (6, 3) as the midpoint of the line segment from R to Q, which is the precise halfway point between R and Q.
To know more about coordinates visit:
https://brainly.com/question/27749090
#SPJ1
Answer:
(-3.5 , 2.3)
Step-by-step explanation:
I know
Solve y3 = 1.
y = −1
y = 1
y = ±1
y = 3
The answer is y = ±1, as well as two complex solutions. The answer y = 3 is not a solution to the equation [tex]y^3 = 1.[/tex]
What is equation?An equation is a statement that asserts the equality of two expressions. It typically contains one or more variables, which are symbols that represent unknown or varying quantities. The expressions on either side of the equals sign can include numbers, constants, functions, and other mathematical operations.
To solve[tex]y^3 = 1[/tex], we can take the cube root of both sides of the equation:
y = ∛1
There are three cube roots of 1, which are 1, -1/2 + √3/2 i, and -1/2 - √3/2 i, where i is the imaginary unit. These three roots form a complex conjugate pair.
Therefore, the solutions to the equation [tex]y^3 = 1[/tex] are:
y = 1
y = -1/2 + √3/2 i
y = -1/2 - √3/2 i
So the answer is y = ±1, as well as two complex solutions. The answer y = 3 is not a solution to the equation [tex]y^3 = 1.[/tex]
To know more about equation:
https://brainly.com/question/10413253
#SPJ1
Find the surface area of the following figure by approximating pi as 3.14.
a. 314 in2
b. 315 in2
c. 316 in2
d. 317 in2
e. 318 in2
Answer:
A
Step-by-step explanation:
Given:
r (radius) = 5 in
h (height) = 5 in
Find: A (surface area) - ?
.
[tex]a(surface) = a(lateral) + a(2 \: bases)[/tex]
First, we have to find the lateral surface:
[tex]a(lateral) = 2\pi \times r \times h = 2 \times 3.14 \times 5 \times 5 = 157 \: {in}^{2} [/tex]
Then, we have to find the area of the base and multiply it by 2, since the shown figure is a cylinder, which has 2 identical bases:
[tex]a(2 \: bases) = 2 \times \pi {r}^{2} = 2 \times 3.14 \times {5}^{2} = 157 \: {in}^{2} [/tex]
Now, let's add everything together and we'll get the answer:
[tex]a(surface) = 157 + 157 = 314 \: {in}^{2} [/tex]
the following table contains figures on the monthly volume and unit costs for a random sample of 16 items from a list of 2,000 inventory items. the company classifies products with annual dollar volume of $10,000 or more as a items and products with annual dollar volume of $2,000 or less as c items. a) develop an abc classification for these items. a file labeled abc data.csv is available on t-learn. b) what is the percentage of items stocked in each classification group?
A: 75% of items are classified as C items, 18.75% as B items, and 6.25% as A items.
A-B-C examination is an instrument utilized for stock administration, which orders things into three classifications: A, B, and C, in light of their worth and significance. Classification A things have a high worth however a low volume, and their administration requires close consideration and control. Class B things have moderate worth and volume and require moderate control. Classification C things have a low worth yet a high volume, and their administration can be loose. The reason for the examination is to recognize which things need the most consideration and control, and which things can be dealt with less consideration and cost-actually. The examination assists in streamlining with reviewing levels, decreasing expenses, and expanding benefits.
To learn more about classification techniques, refer:
https://brainly.com/question/25331111
#SPJ4
Find the perimeter of the figure (use 3.14 as pi if u can)
Answer:
b
Step-by-step explanation:
just add then then after you add 27=27 multiply it by 2
PLS HELP ASAP
MAKE A NUMBER LINE AND MARK ALL THE POINTS
A number line that represent the values of x is shown in the graph attached below.
What is a number line?In Mathematics and Geometry, a number line simply refers to a type of graph with a graduated straight line which comprises both positive and negative numbers that are placed at equal intervals along its length.
This ultimately implies that, a number line primarily increases in numerical value towards the right from zero (0) and decreases in numerical value towards the left from zero (0):
x < - 1 or x > 1
-1 > x > 1
-3 < x ≤ 1
-5 ≤ x ≤ 0
In this scenario and exercise, we would use an online graphing calculator to plot each of the inequality as shown in the graph (number line) attached below.
Read more on number line here: brainly.com/question/22515080
#SPJ1
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP PLAASE Kiran stakes his kite into the ground. The kite is on a string that is 18 ft long and makes a 30 degree angle with the ground. How high is the kite? Explain or show your thinking by filling in the spots below.
Answer:
blank1: 9
blank2: 30°
blank3: 60°
blank4: 90°
blank5: half
Step-by-step explanation:
The 30°-60°-90° triangle has some great shortcuts associated with it (there are math reasons, trig reasons for these shortcuts)
One of these great shortcuts is that the short leg is half the hypotenuse (or the hypotenuse is double the short leg)
For your question, the kite string, 18ft, is the hypotenuse. The kite height is half that--9ft.
see image.
Help!! Brandon wants to cut 12 pieces of old rubber in the size shown to make a patio mat. How much rubber will Brandon need for 12triangukar pieces?
Step-by-step explanation:
The area of a right triangle like this is area = 1/2 * base * height
base and height are the LEGS of the right triangle
this one pictured piece area is: 1/2 * 14 in * 11 in = 77 in^2
He needs 12 of them ....so total is then 12 * 77 in^2 = 924 in^2 needed
A builder was building a fence. In the morning, he worked for 25 of an hour. In the afternoon, he worked for 910 of an hour. How many times as long as in the morning did he work in the afternoon?
Write a division equation to represent this situation, then answer the question. Use "?" to represent the unknown quantity. Do not use parentheses in your equation.
Answer:
36.4
Step-by-step explanation:
In morning, builder worked for = 25 in a hour.
Let hour be ? hr.
then 25? = Time he worked in morning.
In afternoon,he worked for= 910 of ? hour = 910? hr
Times he worked more = 910?/25? = 36.4 times
25*6 =
PLS HELP! (I need to finish this today because it was due yesterday!)
Answer:
Step-by-step explanation:
Search up the area of both. rectangle is LxW therefore the area is 18. the other is trapezium therefore, ((a+b)xh)/2 therefore the area is 20. trapezium has larger area
Answer trapezoid has greater area
Step-by-step explanation: rec: 6*3= 8, trapezoid [ (6+2) * 5 ]1/2 = 20
If there is a 60% chance of rain each day this week, which simulation tool(s) could be used to find the experimental probability that it will take at least three days before it rains?
random number list
coin
die
colored discs
Answer:
A random number list could be used to simulate the probability of rain each day this week. For example, we could assign the numbers 1-60 to the days where rain is expected and the numbers 61-100 to the days where it is not expected. Then, we could use a random number generator to simulate each day and count how many days it takes until it rains for the first time. By repeating this simulation many times and taking the average, we could estimate the experimental probability of it taking at least three days before it rains.
0
I really need help with this
The dilated triangle has vertices
P' (-3, 2), Q' (1, 4), and R' (1, -2).How to find the coordinates after dilation'The coordinates of the vertex of the triangle before dillation is given as
P (-6, 4 )
Q (2, 8)
R (2, -4)
To dilate a figure by a scale factor of 1/2, we need to multiply the coordinates of each point by 1/2.
The coordinates of P are (-6, 4). Multiplying by 1/2, we get:
(-6 * 1/2, 4 * 1/2) = (-3, 2)
The coordinates of Q are (2, 8). Multiplying by 1/2, we get:
(2 * 1/2, 8 * 1/2) = (1, 4)
The coordinates of R are (2, -4). Multiplying by 1/2, we get:
(2 * 1/2, -4 * 1/2) = (1, -2)
Therefore, the dilated triangle has vertices P'(-3, 2), Q'(1, 4), and R'(1, -2).
Learn more about dilated triangle at:
https://brainly.com/question/29634916
#SPJ1
an article marked at rs.8,000 is sold at rs6689.60 allowing some discount and adding vat.8f the rate of discount was double then the rate of vat, find the selling price of the article without vat
The selling price of the article without VAT is Rs. 6,429.13.
What is Algebraic expression ?
In mathematics, an algebraic expression is a combination of variables, constants, and mathematical operations, such as addition, subtraction, multiplication, and division, that represents a quantity or a relationship between quantities.
Let's assume the rate of discount to be 'x' and the rate of VAT to be 'y'.
According to the problem, the marked price of the article is Rs. 8,000.
After applying the discount, the selling price becomes:
Selling price = Marked price - Discount
Selling price = 8000 - (x÷100) * 8000
Now, we add the VAT to the selling price:
Selling price with VAT = Selling price + (y÷100) * Selling price
Selling price with VAT = [8000 - (x÷100) * 8000] + [(y÷100) * (8000 - (x÷100) * 8000)]
Selling price with VAT = 6689.60 (Given)
We are also given that the rate of discount was double the rate of VAT, i.e.,
x = 2y
Substituting this value in the above equation, we get:
6689.60 = [8000 - (2y÷100) * 8000] + [(y÷100) * (8000 - (2y÷100) * 8000)]
Simplifying this equation, we get:
6689.60 = 8000 * [1 - (2y÷100) + (y÷100) - (2y÷100) * (y÷100)]
6689.60 = 8000 * [1 - (3y÷50) + (y*y÷5000)]
Solving for y, we get:
y = 4
Now, we can calculate the selling price without VAT as follows:
Selling price without VAT = Selling price - (y÷100) * Selling price
Selling price without VAT = 6689.60 - (4÷100) * 6689.60
Selling price without VAT = Rs. 6,429.13
Therefore, the selling price of the article without VAT is Rs. 6,429.13.
To learn more about Algebraic expression from given link.
brainly.com/question/31238826
#SPJ1
the time until recharge for batteryin a laptop computer under common conditions is normally distributed with mean of 275 minutes and standard deviation of 50 minutes. a) what is the probability that battery lasts more than four hours? round the answer to 3 decimal places b) what are the quartiles (the 25% and 75% values) of battery life? 25% value minutes (round the answer to the nearest integer) 75% value minutes (round the answer to the nearest integer:) c) what value of life in minutes is exceeded with 95% probability? integer:) (round the answer to the nearest
a) The probability that the battery lasts more than 4 hours is 0.758 (rounded to 3 decimal places).
b) The 25% value is 240 minutes, and the 75% value is 310 minutes.
c) The value of life in minutes that is exceeded with 95% probability is 357 minutes.
a) To find the probability that the battery lasts more than 4 hours (240 minutes), we first need to convert 240 minutes into a z-score.
z = (X - μ) / σ
z = (240 - 275) / 50
z = -0.7
Now, we'll use a z-table to find the probability that the battery lasts more than 4 hours:
P(Z > -0.7) = 1 - P(Z ≤ -0.7) = 1 - 0.2420 = 0.758
The probability that the battery lasts more than 4 hours is 0.758 (rounded to 3 decimal places).
b) To find the quartiles, we'll use the z-table to find the z-scores corresponding to 25% and 75%:
25%: z = -0.674
75%: z = 0.674
Now, we'll convert the z-scores back into minutes:
Q1 = μ + z * σ = 275 + (-0.674) * 50 = 240 (rounded to the nearest integer)
Q3 = μ + z * σ = 275 + (0.674) * 50 = 310 (rounded to the nearest integer)
The 25% value is 240 minutes, and the 75% value is 310 minutes.
c) To find the value of life in minutes that is exceeded with 95% probability, we first find the z-score corresponding to 95%:
95%: z = 1.645
Now, we'll convert the z-score back into minutes:
X = μ + z * σ = 275 + (1.645) * 50 = 357 (rounded to the nearest integer).
For similar question on probability.
https://brainly.com/question/27802713
#SPJ11
PART A: A can of cat food measures 1" tall and a diameter of 3.5". What is the volume of cat food in the can? To solve Give your answer in cubic inches. Round to the nearest hundredth.
PART B: Cat food is sold by ounces (weight).
If the can holds 5.8 ounces, write a ratio to show cubic inches (your answer from slide 3) to ounces.
The volume of cat food in the can is approximately 9.63 cubic inches.
What is the volume of a cylinder?
The volume of a cylinder can be found using the formula:
V = πr²h
where V is the volume, r is the radius of the circular base, h is the height of the cylinder, and π is the constant pi (approximately equal to 3.14).
To find the volume of the can of cat food, we can use the formula for the volume of a cylinder, which is V = πr²h, where r is the radius (half the diameter) and h is the height.
The radius of the can is 3.5/2 = 1.75 inches, and the height is 1 inch. So, the volume of the can is:
V = π(1.75)²(1)
= 9.62 cubic inches
≈ 9.63 cubic inches (rounded to the nearest hundredth)
Therefore, the volume of cat food in the can is approximately 9.63 cubic inches.
To learn more about the volume of a cylinder visit:
https://brainly.com/question/30425059
#SPJ1
6 less than a number raised to the fifth power
Answer:
let n be the number
6 less than the number
= (n-6)^5 = 32
(n-6)^5 = 2^5
since powers are equal we equate the bases
n-6 =2
n=8
I need help with this question it’s algebra 2 .
The true statements are:
C) -5 is a solution to f(x).
E) f(x) = 2x^2 + 9x - 5
F) 0 is a solution to f(x).
I) 5 is a solution to f(x).
K) -3 is a solution to f(x).
L) (-5,0) is an x-intercept of f(x).
How do we calculate?From the given factors of f(x), we know that:
f(x) = 3 * (2x-1) * (x+5)
Using the information, we can calculate the statements are true:
A) 1 is a solution to f(x).
Not necessarily true. We need to substitute x=1 into the expression for f(x) to check if it equals zero.
B) f(x) = 6x^2 - 33x - 15
Not true. The correct expression for f(x) is given above.
C) -5 is a solution to f(x).
True. Substituting x=-5 into f(x) gives us: f(-5) = 3*(-11)*0 = 0.
D) 3 is a solution to f(x).
Not necessarily true. We need to substitute x=3 into the expression for f(x) to check if it equals zero.
E) f(x) = 2x^2 + 9x - 5
True. This is the expanded form of f(x) using the given factors.
Learn more about expanded form at: https://brainly.com/question/16802852
#SPJ1
Factor 25z^2 - 81
ANSWER FAST WILL GIVE BRAINLIEST
Answer: B= (5z+9) (5z-9)
Step-by-step explanation:
Answer:
Step-by-step explanation:
Step 1: Use the sum-product pattern
25z² - 81 =
25z² + 45z - 45z - 81 =
Step 2: Common factor from the two pairs
(25z² + 45z) + (−45z − 81) =
Step 3: Rewrite in Factored Form
5z (5z + 9) − 9 (5z + 9) =
(5 - 9) (5 + 9)
Solution:
B: (5 + 9) (5 - 9)
There are 78 Year 9 pupils in a music club, out of a total of 167 pupils.
Write this proportion as a percentage.
Give your answer correct to 1 decimal place when appropriate.
The proportion of Year 9 pupils in the music club is approximately 46.7%.
A ratio or value that may be stated as a fraction of 100 is called a percentage.
To find the proportion of Year 9 pupils in the music club as a percentage, follow these steps:
To get proportion as a percentage divied number of Year 9 pupils by total pupils multiplied by 100.
Proportion as a percentage = [tex]\frac{Year \:9 \:pupils}{total \:pupils} \times 100[/tex]
Divide the number of Year 9 pupils by the total number of pupils.
78 (Year 9 pupils) ÷ 167 (total pupils)
= 0.4671
Multiply the result by 100 to convert the proportion to a percentage.
0.4671 × 100
= 46.71%.
For similar question on proportion.
https://brainly.com/question/31188065
#SPJ11
Which equation represents the general form a circle with a center at (â€"2, â€"3) and a diameter of 8 units? x2 y2 4x 6y â€" 51 = 0 x² y² â€" 4x â€" 6y â€" 51 = 0 x2 y2 4x 6y â€" 3 = 0 x2 y2 â€" 4x â€" 6y â€" 3 = 0
x² + y² + 4x + 6y - 3 = 0 equation represents the general form a circle with a center at (â€"2, â€"3) and a diameter of 8 units.
The equation of a circle with center (h, k) and radius r can be written in the form (x - h)² + (y - k)² = r².
Given a center of (-2, -3) and a diameter of 8 units, first find the radius, which is half of the diameter:
r = 8 / 2 = 4
Now, substitute the center coordinates and radius into the equation:
(x - (-2))² + (y - (-3))² = 4²
(x + 2)² + (y + 3)² = 16
Now, expand the equation to get the general form:
(x² + 4x + 4) + (y² + 6y + 9) = 16
x² + 4x + y² + 6y + 4 + 9 - 16 = 0
Combine like terms to get the final equation:
x² + y² + 4x + 6y - 3 = 0
For similar question on equation.
https://brainly.com/question/25678139
#SPJ11
What is the image point of (-2, 10) after the transformation R270° 0 D₁?
There are two boxes containing only white and green pens. Box A has 3 green pens and 12 white pens. Box B has 6 green pens and 2 white pens. A pen is randomly chosen from each box. List these events from least likely to most likely. Event 1: choosing a green or white pen from Box B. Event 2: choosing a white pen from Box B. Event 3: choosing a blue pen from Box A. Event 4: choosing a green pen from Box A. Least likely Event, Event, Event, Most likely Event
The events ranked from least likely to most likely are:
Event 3: Choosing a blue pen from Box AEvent 2: Choosing a white pen from Box BEvent 4: Choosing a green pen from Box AEvent 1: Choosing a green or white pen from Box BWhat is probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
To rank the events from least likely to most likely, we need to consider the probability of each event occurring.
Event 3: Choosing a blue pen from Box A
This event is the least likely because there are no blue pens in Box A. The probability of choosing a blue pen is 0.
Event 2: Choosing a white pen from Box B
This event is more likely than Event 3 because there are white pens in Box B. The probability of choosing a white pen from Box B is 2/8 or 1/4.
Event 4: Choosing a green pen from Box A
This event is more likely than Event 2 because there are green pens in Box A. The probability of choosing a green pen from Box A is 3/15 or 1/5.
Event 1: Choosing a green or white pen from Box B
This event is the most likely because it includes both a green and a white pen in Box B. The probability of choosing a green or white pen from Box B is 6/8 or 3/4.
Therefore, the events ranked from least likely to most likely are:
Event 3: Choosing a blue pen from Box A
Event 2: Choosing a white pen from Box B
Event 4: Choosing a green pen from Box A
Event 1: Choosing a green or white pen from Box B
Learn more about probability on:
https://brainly.com/question/13604758
#SPJ9
please help will give brainliest
Answer:
Option D is the correct answer
D. f(n) = 95 + 60(n - 1)
Step-by-step explanation:
Solution:
f(n) = installation charges + monthly fees x number of months -> f(n) = 35 + 60*n-> f(n) = 35 + 60*n + 60 - 60 (Add and subtract 60)-> f(n) = (35 + 60) + (60*n - 60)-> f(n) = 95 + 60(n - 1)need help asap thank youuu
Answer:
11/3
Step-by-step explanation:
2[tex]\frac{1}{5}[/tex] = 11/5
2[tex]\frac{1}{5}[/tex] ÷ [tex]\frac{3}{5}[/tex] = 11/5 · 5/3 = 55/15 = 11/3
In ΔJKL, the measure of ∠L=90°, KJ = 41, JL = 40, and LK = 9. What ratio represents the cosine of ∠J?
Given:
[tex]\angle\text{L}=90^\circ[/tex]
[tex]\text{KJ}=41[/tex]
[tex]\text{JL}=40[/tex]
[tex]\text{LK}=9[/tex]
To find the cosine of angle J
By using cosine ratio,
[tex]\text{cos J}=\dfrac{\text{adjacent side}}{\text{hypotenuse}}[/tex]
[tex]\text{cos J}=\dfrac{\text{JL}}{\text{JK}}[/tex]
[tex]\text{cos J}=\dfrac{\text{40}}{\text{41}}[/tex]
The ratio of cosine of angle J is 40/41.
Can someone help me ASAP it’s due tomorrow. I will give brainliest if it’s all done correctly.
Answer all parts!!
Part A: Sample space of randomly selecting 2 lollipops with replacement:
{GG, GC, GL, CG, CC, CL, LG, LC, LL}
Part B: Sample space of randomly selecting 2 lollipops without replacement:
{GC, GL, CG, CL, LG, LC}
What is the experiment about!The experiment of randomly selecting 2 lollipops without replacement shows dependent events because the probability of drawing the second lollipop depends on what the first lollipop was.
For example, if the first lollipop drawn is grape, then the probability of drawing another grape lollipop is decreased because there is only one left in the bag.
The experiment of randomly selecting 2 lollipops with replacement shows independent events because each lollipop can be chosen without affecting the probability of choosing the other lollipops.
Learn more about sample space on
https://brainly.com/question/10558496
#SPJ1
increase 15/16 by 3/4 of it. then increase the result by 3/5 of it
Increasing [tex]\frac{15}{16}[/tex] by [tex]\frac{3}{4}[/tex] of it and then increasing the result by [tex]\frac{3}{5}[/tex] of it gives us the fraction of [tex]\frac{45}{32}[/tex].
To increase [tex]\frac{15}{16}[/tex] by [tex]\frac{3}{4}[/tex] of it, we can multiply [tex]\frac{15}{16}[/tex] by [tex]\frac{3}{4}[/tex], which gives us:
[tex]\frac{15}{16}[/tex] × [tex]\frac{3}{4}[/tex] = [tex]\frac{45}{64}[/tex]
Adding this result to [tex]\frac{15}{16}[/tex], we get:
[tex]\frac{15}{16}[/tex] + [tex]\frac{45}{64}[/tex] = [tex]\frac{225}{256}[/tex]
Now, to increase this result by [tex]\frac{3}{5}[/tex] of it, we can multiply [tex]\frac{225}{256}[/tex] by 3/5, which gives us:
[tex]\frac{225}{256}[/tex] × [tex]\frac{3}{5}[/tex] = [tex]\frac{135}{256}[/tex]
Adding this result to [tex]\frac{225}{256}[/tex], we get the final answer:
[tex]\frac{225}{256}[/tex] + [tex]\frac{135}{256}[/tex] = [tex]\frac{360}{256}[/tex]
Simplifying this fraction, we get:
[tex]\frac{360}{256}[/tex] = [tex]\frac{45}{32}[/tex]
The problem involves increasing a fraction by a certain percentage twice. To solve the problem, we first find the increase in the fraction by multiplying it with the given percentage. We then add the result to the original fraction to get the new fraction. This process is repeated for the second increase. Finally, we simplify the resulting fraction if possible. In this specific problem, we are increasing [tex]\frac{15}{16}[/tex] by [tex]\frac{3}{4}[/tex] of it and then increasing the result by [tex]\frac{3}{5}[/tex] of it to find the resulting fraction [tex]\frac{45}{32}[/tex].
To learn more about fraction follow the link:
https://brainly.com/question/10708469
#SPJ1