X is a random variable with mean of μ = 55 cm and a standard
deviation σ = 8 cm. If Y = -2 X + 140, what is the mean and the
standard deviation of Y?

Chance is 1/10

Given that the die has 20 different numbers, ranging from 1-20, we are to determine the chance that the top side will be either a 9 or a 10.When throwing a die with a different number of faces or sides, each face has an equal chance of showing up as the top side. Thus, to determine the chance that the top side will be either a 9 or a 10, we need to find the probability of rolling a 9 or 10.To calculate the probability of a single event occurring, we divide the number of favorable outcomes by the total number of possible outcomes. Thus, in this case, the probability of rolling a 9 or a 10 would be:Probability of rolling a 9 or a 10= number of favorable outcomes/ total number of possible outcomesNumber of favorable outcomes: 2 (since there are only 2 sides of the die that have a 9 or a 10)Total number of possible outcomes: 20 (since there are 20 different numbers on the die)Probability of rolling a 9 or a 10 = 2/20 = 1/10Therefore, the chance that the top side will be either a 9 or a 10 is 1/10.

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Answer:

She sprinkles 3/10 of a cup of powdered sugar on the brownies.

Step-by-step explanation:

Solutions on ratio proportions include:

18/15, 4/3 do form a proportion because they are not equal to each other. Greatest common factor to 18/15 is to divide by 3 = 6/5 is not equal to 4/3 so they are not proportional. Cross multiplying 6/5 and 4/3 gives 20 = 18.

4/5, 10/12.5 form a proportion because they are equal to each other. When 4/5 and 10/12.5 are cross multiplied they each give 50.

Solving 5/8 = 20/p, will give p = 32

Solving r/7 = 45/21, will give r = 15

Solving 5/14 = 40/m, will give m = 112

Solving 20/v = 5.2/6.5, will give v = 25

To find the missing values for the Miles and Minutes Run, we can use the formula speed = distance/time.

For Run 1, speed = 4/m. For Run 2, speed = 6/54.

Since both runs have the same speed, set the two expressions equal to each other and solve for m.

4/m = 6/54, so m = 54 x 4 / 6, m = 36.

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The length of the midsegment of the trapezoid is 8 units

Trapezoid

A trapezoid, also known as a trapezium, is a flat closed shape having 4 straight sides, with one pair of parallel sides. The parallel sides of a trapezium are known as the bases, and its non-parallel sides are called legs.

The midsegment of a trapezoid is the segment connecting the midpoints of the two non-parallel sides of the trapezoid and is parallel to the pair of parallel sides.

In this problem

The two non-parallel sides of the trapezoid are AD and BC

Step 1

Find the midpoint side of AD

Let

E the midpoint AD

A ( 2,4 ) D (-2,-1)

Find the x-coordinate of the midpoint AD

\(x = \frac{2-2}{2} = 0\)

Find the y-coordinate of the midpoint AD

\(y = \frac{4 - 1}{2} = 1.5\)

the point E is equal to (0, 1.5 )

Step 2

Find the midpoint side of BC

Let

F the midpoint BC

\(B ( 7,4) C ( 9, -1)\)

Find the x-coordinate of the midpoint BC

\(x = \frac{9+2}{7} = 8\)

Find the y-coordinate of the midpoint BC

\(y = \frac{4 - 1}{2} = 1.5\)

The point F is equal to ( 8 , 1.5 )

Step 3

Find the distance EF

Know that

The formula to calculate the distance between two points is equal to

\(d = \sqrt{(y2 - y1)^{2}+ (x2 -x1)^{2} }\)

we have

E ( 0 ,1.5) F ( 8, 1.5)

substitute the values

\(d = \sqrt{(1.5 - 1.5)^{2} + (8-0 )^{2} }\)

d = 8 units

Therefore

The length of the midsegment of the trapezoid is 8 units

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Answer:

d

Step-by-step explanation:

Since the triangle is equilateral then the 3 sides are congruent, then

2x = 6 ( divide both sides by 2 )

x = 3

and

3y = 6 ( divide both sides by 3 )

y = 2

Thus x = 3 and y = 2 → d

\(\qquad \qquad\huge \underline{\boxed{\sf Answer}}\)

Here's the solution ~

\(\qquad \sf  \dashrightarrow \: 5P \times 7 {P}^{3} \)

\(\qquad \sf  \dashrightarrow \: (5 \times 7)(P \times P {}^{3} )\)

\(\qquad \sf  \dashrightarrow \: 35(P {}^{ 1 + 3} )\)

\(\qquad \sf  \dashrightarrow \:35 P {}^{4} \)

Answer:

answer is 10 (very easy)

Answer:

380. 1

Step-by-step explanation:

A=π r2=π. 11^2= 380.13271

The estimated regression equation using the least squares estimates for β0 and β1 is Estimated Unemployment Rate = 4.69 + 1.19 * Year. This equation predicts the unemployment rate based on the year with β0 as the intercept and β1 as the slope coefficient.

To estimate the regression equation using the least squares estimates for β0 and β1, we need to find the values of β0 and β1 that minimize the sum of squared residuals.

Let's calculate the values of β0 and β1 using the given data

n = 10 (number of observations)

ΣYear = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 = 55

ΣUnemployment Rate = 9.2 + 5.1 + 4.1 + 6.4 + 7.4 + 9.3 + 8.2 + 7.9 + 11.3 + 10.6 = 79.5

ΣYear² = 1² + 2²  + 3²  + 4² + 5²  + 6² + 7²  + 8²  + 9²  + 10²  = 385

ΣYear * Unemployment Rate = (19.2) + (25.1) + (34.1) + (46.4) + (57.4) + (69.3) + (78.2) + (87.9) + (911.3) + (1010.6) = 651.1

Now, let's calculate the least squares estimates for β0 and β1

β1 = (n * ΣYear * Unemployment Rate - ΣYear * ΣUnemployment Rate) / (n * ΣYear² - (ΣYear)²)

= (10 * 651.1 - 55 * 79.5) / (10 * 385 - 55²)

= 1.1855

β0 = (ΣUnemployment Rate - β1 * ΣYear) / n

= (79.5 - 1.1855 * 55) / 10

= 4.692

Therefore, the estimated regression equation using the least squares estimates for β0 and β1 is

Estimated Unemployment Rate = 4.692 + 1.1855 * Year

Rounded to two decimal places, the estimated regression equation is

Estimated Unemployment Rate = 4.69 + 1.19 * Year

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the answer should be 35 songs in total

Answer:

954

Step-by-step explanation:

Answer:

1218.75

Step-by-step explanation:

25% of $975 = 243.75

Discounted price + Discount = Original Price

$975 + 243.75 = 1218.75

The function can be said to be elastic in nature.

We have the function here given as : QXd = a + b ln PX + c ln M + e

Px = price of the commodity x

M is the income

a. The value of b is the price elasticity of demand. We have it that price is -2.18 as m is 55000 with the price of the good as 4.39.

Hence given that the absolute value of b is greater than 1, we can say that it is elastic in nature

Complete question

Question

The demand function for good X is In Qxd =a+b In Px +c In M+e, where Px is the price of good X and M is income . least square regression reveals that a^ =7.42, b^=-2.18, and c^=0.34,

a^ = 1.8 ,b^ = 1.18 , and c ^= 0.35.

a) if M = 55,000 and Px =4.39, compute the own price elasticity of demand based on these estimates , determine wheather demand is elastic or inelastic

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The standard deviation and proportion value is obtained as 0.02 and 0.05 respectively.

What is standard deviation?

The standard deviation is a metric that reveals how much variance from the mean there is, including spread, dispersion, and spread. A "typical" variation from the mean is shown by the standard deviation. Because it uses the data set's original units of measurement, it is a well-liked measure of variability.

To find the standard deviation of the sample proportion, we can use the formula -

σp = √(p(1-p)/n)

where p is the population proportion (0.045) and n is the sample size (400).

σp = √(0.045(1-0.045)/400) ≈ 0.0208

To find the value of p that corresponds to a 40% chance of the sample proportion being no greater than that value, we can use the z-score formula -

z = (\(\hat{\rho}\) - p) / σp

where \(\hat{\rho}\) is the sample proportion and p is the population proportion.

For a 40% chance, the corresponding z-score is 0.25 (since 0.40 is halfway between 0.25 and 0.50 on the standard normal distribution).

So we have -

0.25 = (\(\hat{\rho}\) - 0.045) / 0.0208

\(\hat{\rho}\) - 0.045 = 0.0208 × 0.25

\(\hat{\rho}\) ≈ 0.0517

Therefore, the value of p is 0.05, and the value of σp is 0.02.

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The language that Pattie and Jairo speak to each other upon meeting was Spanish.

Holly Goldberg Sloan's novel "Counting by Sevens" centers around Willow Chance, a math and science prodigy who finds difficulty in connecting with others emotionally.

Following an unforeseen incident that drastically alters her life, Willow meets various individuals whose guidance enables her to understand love, friendship, and family. When Pattie and Jairo first encounter each other, they communicate solely in Spanish. Overall, the book is an inspiring and reflective read, skillfully examining topics such as resilience, loss, grief, and community.

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The frequency of A allele after a single generation of mutation can be found as follows: Frequency of A allele after a single generationp(A) = p(A) x (1 - m) + q(a) x m

where,
m = mutation rate = 10^-6p(A) = frequency of A allele in initial generation = 0.75q(a) = frequency of a allele in initial generation = 0.25Thus,p(A) = 0.75 x (1 - 10^-6) + 0.25 x 10^-6 = 0.74999925

And the frequency of a allele will beq(a) = 1 - p(A) = 1 - 0.74999925 = 0.25000075

Therefore, the frequency of the A and a alleles in the next generation will beA: 0.74999925 and a: 0.25000075.

This is option D.

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Answer:

The distance they drive before they stop is 98 miles.

Step-by-step explanation:

Since Ken and Donna are supposed to drive a total distance of 131 miles from Baltimore, MD to Richmond, VA for the wedding. If the first part of the journey is supposed to be 65 miles more than the second part. Let the second part be x miles. So, the first part is x + 65 miles

Since the total distance covered is 131 miles,

x + x + 65 = 131

adding the x's, we have

2x + 65 = 131

subtracting 65 from both sides, we have

2x = 131 - 65

2x = 66

dividing both sides by 2, we have

x = 66/2

x = 33 miles.

So, for the first part the distance travelled is x + 65 miles, so, x + 65 = 33 + 65 = 98 miles.  So, the distance they drive before they stop is 98 miles.

Answer:

x = - 3

Step-by-step explanation:

g(x) = 4x + 1...... (1)

g(x) = -11.... (2)

From equations (1) & (2)

-11 = 4x + 1

-11 - 1 = 4x

-12 = 4x

-12/4 = x

-3 = x

x = - 3

According to the question The tax for a house assessed at $160,000 would be $4,000.

To find the tax for a house assessed at $160,000 using the same tax rate, we can set up a proportion based on the assessed values and taxes paid:

\(\(\frac{\text{{Assessed value of house 1}}}{\text{{Tax paid for house 1}}}\) = \(\frac{\text{{Assessed value of house 2}}}{\text{{Tax for house 2}}}\)\)

Substituting the given values, we have:

\(\(\frac{120,000}{3,000} = \frac{160,000}{x}\)\)

Cross-multiplying and solving for \(\(x\)\), we get:

\(\(x = \frac{160,000 \times 3,000}{120,000}\)\)

Calculating the expression on the right side, we find:

\(\(x = \$4,000\)\)

Therefore, the tax for a house assessed at $160,000 would be $4,000.

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Answer:

or

You can add whichever is accepted by the program

Step-by-step explanation:

by using Pythagoras law

hypotenuse ²=perpendicular ²+base²

14²=8²+x²

x²=14²-8²

x=√132=2√33 unit is your answer

Answer:

1, 3, 5

Step-by-step explanation:

:)

Answer:

3 x 3 x 5

Step-by-step explanation:

Prime numbers are numbers that cannot factor any lower then itself and one (which includes, but is not limited too: 1, 3, 5, 7, 11, 13, 17, etc.

5 x 1 = 5

3 x 1 = 3

Factor:

45 = 15 x 3

15 = 5 x 3

3 x 3 x 5 is your answer.

Answer: c= 35x + 75

Step-by-step explanation:

If he earns $75 then that will be the constant amount which means it will never change, plus $35 for x cars, will give us the expression 35x + 75 and that has to equal c which is his total earnings.

Answer:

Step-by-step explanation:

Total earnings for x cars sold:

Answer:

d

Step-by-step explanation:

i think i helped. have a nice day

3(7d + 4e) = 3 • 7d + 3 • 4e = 21d + 12e

Answer: 9/1

Step-by-step explanation: We can write a ratio using the word "to", using a colon, or using a fraction bar.

The problem asks us to compare the number of

adult tickets to the number of child tickets.

We know that there are 45 adult tickets

and 5 child tickets so we have 45/5.

However, 45/5 is not in lowest terms so we divide

the numerator and denominator by 5 to get 9/1.

So the ratio of adult tickets to child tickets is 9/1.

The option B is a correct option which is y = 26x and y = -0.030(x-500)2 15,900 represent the quadratic and linear function.

According to the statement

we have given that Vertex

(h,k) = (500, 15900)

And One of the points on the graph

(x,y) = (0,8400)

FIRST PART: we have to find the quadratic function

We can find the quadratic function by parabola's equation formula

y = a (x - h)² + k  -(1)

Input the numbers to the formula, to find the value of a

y = a (x - h)² + k

8400 = a(0 - 500)² + 15900

8400 = a (500)² + 15900

8400 = 250000a + 15900

-250000a = 15900 - 8400

-250000a = 7500

a = 7500/-250000

a = 0.03

Now,

Submit a to the formula (1)

y = a (x - h)² + k

y = 0.03 (x - 500)² + 15900

this is the quadratic equation.

SECOND PART: Find the linear function

the total cost = cost each helmet × the number of helmet

y = 26x

So,

The option B is a correct option which is y = 26x and y = -0.030(x-500)2 15,900 represent the quadratic and linear function.

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Disclaimer: This question was incomplete. Please find the full content below.

Question: A company plans to sell bicycle helmets for $26 each. The company's business manager estimates that the cost, y, of making x helmets is a quadratic function with a y-intercept of 8,400 and a vertex of (500, 15900)

x= number of helmets

y = amount in dollars

Which system models this situation?

a) y = 26x and y = 8,400(x-500)2+15,900

b) y = 26x and y = -0.030(x-500)2+15,900

c) y = x/26 and y = -0.030(x-500)2+15,900

d) y = x/26 and y =8,400(x-500)2+15,900

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Answer:

B. y = 26x and y = -0.030(x-500)2+15,900

Step-by-step explanation:

if Jeremiah wants to get the most dog food for his money, he should buy the Woofy Waffles.

For Part A,

According to the given data in the table,

To calculate the unit rate for each package,

Simply divide the cost by the size.

So, for Canine Cakes,

The unit rate would be $24 ÷ 16 pounds = $1.50 per pound.

For Bark Bits,

The unit rate would be $82 ÷ 50 pounds = $1.64 per pound.

And for Woofy Waffles,

The unit rate would be $48 ÷ 40 pounds = $1.20 per pound.

For Part B,

To determine the best buy using the unit rates found in Part A.

The best buy is the package with the lowest unit rate,

because that means you're getting the most product for your money.

In this case,

The package with the lowest unit rate is Woofy Waffles,

At $1.20 per pound.

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Answer:

The answer is B. i.e. 6.6units.

The coefficient of variation (CV) is a measure of relative variability and is calculated by dividing the standard deviation by the mean, and then multiplying by 100 to express it as a percentage.

In this case, the mean weight is 340 grams, and the standard deviation is 5.2 grams.

CV = (Standard Deviation / Mean) * 100

CV = (5.2 / 340) * 100

CV ≈ 1.53%

Therefore, the correct answer is option B: 1.53%.

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For the ratios of the angles;

Sine, cosine, and tangent are trigonometric functions used to calculate the ratios of the sides of a right triangle. The side opposite the right angle is called the hypotenuse, while the other two sides are called the adjacent and opposite sides.

Let the hypotenuse be X

Angle A;

Sine A= D/X

Cos A = M/X

Tan A = D/M

Angle B;

Sin B = M/X

Cos B = D/X

Tan B = M/D

The e angle in question may be measured in radians or degrees.

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Given that the initial height of the launcher was above ground, the function

created by the student should be transformed upwards.

Reasons:

The function created by the student = h(r), a model of the path of a T-shirt cannon

The part of the equation left out in the function = The initial height of the cannon

The given initial height of the cannon = 4 feet

Required:

The method of correcting the function to model the path of the T-shirt correctly

Solution:

Given that the function created by the student gives the height of the

cannon, and the initial height of the launcher is 4 feet above the ground

The initial function h(r) should be transformed 4 feet in the upward

direction.

The student should add 4 feet to the function by replacing h(r) with h(r) + 4, to account for the increase in all heights by 4 feet;

The correct option is; The student should replace h(r) with h(r) + 4

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