Which skier the most potential energy?

A. Yellow skier
B. Blue skier
C. Both yellow and blue have the same energy

Yes, there is sufficient evidence to refute the publisher's claim that 20% of their readers own a Rolls Royce at the 0.01 level.

The hypothesis test result indicates that the p-value is less than 0.01, which means the null hypothesis can be rejected at a 0.01 level of significance. Therefore, there is evidence to suggest that the true percentage of Rolls Royce owners among the newsletter publisher's readers is less than 20%. This could have implications for the publisher's advertising strategy and target audience.

Learn more about hypothesis testing

brainly.com/question/30588452

#SPJ11

a + 5 is parallel to 15, meaning that

a + 5 = 15

a = 15 - 5

a = 10

3b° has the same value of 111°, so

3b = 111

b = 111 ÷ 3

b = 37

a = 10 , b = 37

Pair 2 shows one figure rotated 180 degrees compared to the other, and translated as well. So they are congruent (ie the same).

Pair 4 shows one triangle reflected over the vertical line x = 22 to get the other triangle; which shows they are the same triangle.

The other pairs are not congruent. You can show that the areas of each figure being different is enough to prove they aren't the same figure.

Answer:

60 red marbles

Step-by-step explanation:

If John picks 10 marbles and 6 of them are red, there is a 60% chance of pulling out a red, which also means 60% of the total number of marbles are red.

(To be fair, 10 marbles is not a lot to base an estimate on, but I digress.)

Therefore, if there is a total of 100 marbles in the bag, 60% of 100 is 60. Our estimate will be 60 red marbles.

Answer:

60 red marbles

Step-by-step explanation:

10 marbles are taken out of the bag.                                    

6 marbles taken out are red.

So the other 4 marbles taken out are blue.

200/4 = 50

50 is close to 60.

Answer:

29 square root or 5.39

Step-by-step explanation:

Answer:

5.39 units.

Step-by-step explanation:

Distance = √(-8-(-3))^2 + (5-7)^2)

= √((-5)^2 + (-2)^2)

= √(25+ 4)

= √(29)

= 5.39.

Answer:

Volume of the larger one = 476.5625

Step-by-step explanation:

Remark

This is a terrific little problem. Thanks for posting. I hope the answer is still useful to you. If the cylinders are similar it means that r and h are multiplied by a constant when moving from the smaller cylinder to the larger one. Everything else, believe it or not, remains the same.

Equations

Surface area of the smaller cylinder = 2pi*r^2 + 2pi*r*h

Surface area of the larger cylinder = 2*pi*(kr)^2 + 2pi*(kr)*(kh)

Surface area of the larger cylinder = k^2 (2*pi*r^2 + 2pi* r*h)

Solution

Surface area of the larger cylinder = k^2 (2pi*r^2 + 2pi*r*h)

=============================      ==================

Surface area of the smaller cylinder         (2pi*r^2 + 2pi*r*h)

surface area of the larger cylinder = k^2

surface are of the smaller cylinder = 1

200 / 128 = k^2 / 1      Divide the top and bottom of the left by 8

25 / 16 = k^2               Take the square roots of both sides

sqrt(25/16) = sqrt(k^2)

5/4 = k

Now work on the volume.

The volume of the larger cylinder = pi (kr)^2 (kh) = k^3 * pi * r^2 h

The volume of the smaller cylinder =                                pi * r^2 h

The volume of the larger cylinder to the smaller one = k^3 = 1.953125

x / 244 = 1.953125       Multiply both sides by 244

x = 1.953125 * 244

x = 476.5625

Answer: the answer be 1/20

Step-by-step explanation:

I hope it helps you :)

As σx (standard deviation) remains unchanged, the value of x alone cannot determine the effect on sample mean. It depends on the value of x relative to the values in original sample and sample size.

If one new person is added to the sample and the standard deviation (σx) remains unchanged, the effect on the sample mean (m) can be determined as follows:

Let's denote the original sample size as n and the sum of the sample values as Σx.

Original sample mean:

m = Σx / n

After adding the new person, the new sample size becomes n + 1, and the sum of the sample values becomes Σx + x_new (x_new represents the value of the new person).

New sample mean:

m' = (Σx + x_new) / (n + 1)

To analyze the effect, we can express the difference in means:

Δm = m' - m = ((Σx + x_new) / (n + 1)) - (Σx / n)

Simplifying this expression, we get:

Δm = (x_new - (Σx / n)) / (n + 1)

Therefore, the effect of adding the new person on the sample mean (m) is determined by the difference between the value of the new person (x_new) and the original mean (Σx / n), divided by the increased sample size (n + 1).

Learn more about standard deviation here:

https://brainly.com/question/13498201

#SPJ11

The largest taco contained approximately 1 kg of onion for every 6. 6 kg grilled teak. then Amount of grilled steak used: 6.6 (79.17) = 538.356 kg

What is a unit amount in math?

When a price is expressed as a quantity of 1, such as $25 per ticket or $0.89 per can, it is called a unit price. If you have a non-unit price, such as $5.50 for 5 pounds of potatoes, and want to find the unit price, divide the terms of the ratio

1 k + 6.6 k = 617.3

Where “k” is a constant value, a multiplier.

Solving for k:

7.8 k = 617.3

k = 617.3 /7.8  

k= 79.17

So:

Amount of onion used:

1 (79.17) = 79.17 kg

Amount of grilled steak used:

6.6 (79.17) = 538.356 kg

learn more about of ingredient here

https://brainly.com/question/15103492

#SPJ4

Answer:

Step-by-step explanation:

(-2 + x)/2= 4

-2 + x = 8

x = 10

(2 + y)/2 = -3

2 + y = -6

y = -8

(10, -8) for endpoint H

The researcher is testing whether the data gives sufficient evidence to support that more than 80% of adults are honest.

The null and alternative hypotheses are as follows;

H0:

P ≤ 0.80H1: P > 0.80

where P is the population proportion of adults who are honest.

The sample proportion is: p = 42/50 = 0.84

where 50 is the sample size.

The sample proportion is the point estimate of the population proportion.To conduct a hypothesis test for a proportion, the sampling distribution of sample proportions is used. The sampling distribution of sample proportions can be approximated to a normal distribution using the central limit theorem. Since the sample size is greater than 30, the sampling distribution of sample proportions is approximately normal.

The mean of the sampling distribution of sample proportions is

equal to the population proportion.μp = P = 0.80

The standard error is the standard deviation of the sampling distribution of sample proportions.

σp = sqrt[(P(1 - P)) / n]σp = sqrt[(0.80(0.20)) / 50]σp = sqrt(0.0016)σp = 0.04

To calculate the test statistic, the sample proportion is compared to the population proportion while taking into consideration the variability in the sampling distribution.

The test statistic for this hypothesis test is a one-sample z-test.z = (p - P) / σpz = (0.84 - 0.80) / 0.04z = 1.00

To calculate the P-value,

the area to the right of the test statistic is found using the standard normal distribution table.

The P-value is the probability of obtaining a test statistic at least as extreme as the calculated value under the null hypothesis.

P(z > 1.00) = 0.1587

The P-value is 0.1587,

which is greater than the level of significance of 0.05.

Since the P-value is greater than the level of significance, the null hypothesis cannot be rejected. Therefore, there is insufficient evidence to support that more than 80% of adults are honest.

The values of the test statistic and P-value for this test are:

z = 1.00 and P-value = 0.1587

To know more about  evidence visit :

https://brainly.com/question/31812026

#SPJ11

See explanation below

Explanation:

a) The first thing we will do is draw the rectangular rug with the measuremnet 5 foot by 7 foot:

We will assume each 1 cm of the represent 1 foot, if we are using a ruler with cm as measurement to draw the diagram.

Then, we draw a box with measurement of 1foot by 1 foot

The most primitive way to determine the area of the rug is to count each of the boxes. The amount you get is the area of the rug.

When you count, the number of boxes = 35

Since the each box is 1 foot by 1 foot:

b) A less primitive way to determine the area of the rug, is to multiply the length by the width.

the length (longer side) = 7ft, the width (shorter side) = 5ft

This method works because we have 5 columns and 7 rows. When we multiply the two, it gives an area since each box represent 1 foot by 1 foot.

(a) The total number of possible outcomes of the experiment is 25 outcomes .

(b) The probability of the event that the first ball drawn is blue is 2/5 .

In the question ,

it is given that ,

the number of blue balls in the urn = 2 ( b1 and b2)

the number of white balls in the urn = 3 (w1 , w2 and w3)

also given that ,

one ball is drawn, its color is recorded and is replaced in urn. then another ball is drawn and the color is recorded .

Part(a) ,

the total number of possible outcomes for experiment will be

b1b1, b1b2, b1w1, b1w2, b1w3

b2b1, b2b2, b2w1, b2w2, b2w3

w1b1, w1b2, w1w1, w1w2, w1w2

w2b1, w2b2, w2w1, w2w2, w2w3

w3b1, w3b2, w3w1, w3w2, w3w3 .

So , total number of outcomes is = 25 .

Part(b) ,

From Part(a) , we can see that the outcomes with first ball blue are

b1b1, b1b2, b1w1, b1w2, b1w3

b2b1, b2b2, b2w1, b2w2, b2w3,

the number of outcomes with first ball blue is = 10 .

So , the probability = (number of outcomes with first ball blue)/(total number of outcomes) .

= 10/25

= 2/5 .

Therefore , total number of outcomes is 25 and the probability that first ball is blue is 2/5 .

The given question is incomplete , the complete question is

An urn contains two blue balls (denoted b1 and b2) and three white balls (denoted w1,w2, and w3). one ball is drawn, its color is recorded, and it is replaced in the urn. then another ball is drawn and its color is recorded.

(a) let b1w2 denote the outcome that the first ball drawn is b1 and the second ball drawn is w2. because the first ball is replaced before the second ball is drawn, the outcomes of the experiment are equally likely. the total number of possible outcomes of the experiment is         .

(b) consider the event that the first ball that is drawn is blue. what is the probability of the event ?

Learn more about Probability here

https://brainly.com/question/16895575

#SPJ4

Answer:

3 1/13 hours

Step-by-step explanation:

hope it helps

Step-by-step explanation:

according to the graph on the drawing:

the correct answer is

b. y = -x+2 ; x≤1

y = x+1 ; x>1

We have `f(a) = (a+7)/a`, `f(a+h) = (a+h+7)/(a+h)`, and the difference quotient is `(h(a+7))/(ah+h^2)`.

Given a function `f(x)` is defined by `f(x) = (x+7)/x`.

We need to find `f(a)`, `f(a+h)`, and the difference quotient `(f(a+h)-f(a))/h` where `h≠0`.

Solution:

`f(x) = (x+7)/x`

At `x=a`, we have

`f(a) = (a+7)/a`.

At `x = a + h`,

we have `

f(a+h) = [(a+h)+7]/(a+h)`.

So,

`f(a+h) = (a+h+7)/(a+h)`.

Now,

`f(a+h)−f(a)` is `[(a+h)+7]/(a+h) − (a+7)/a`.

LCM of `(a+h)` and `a` is `a(a+h)`.

So, we get `f(a+h)−f(a)` as `(a+h)(a+7)−a(a+h+7)/a(a+h)`.

On simplification, we have `f(a+h)−f(a)` as `(ah+7h)/(a(a+h))`.

Now, `(f(a+h)−f(a))/h` is `(ah+7h)/(ah+h^2)`.

On simplification, we have `(f(a+h)−f(a))/h` as `(h(a+7))/(ah+h^2)`.

Hence, `f(a) = (a+7)/a`, `f(a+h) = (a+h+7)/(a+h)`, and the difference quotient is `(h(a+7))/(ah+h^2)`.

Given a function `f(x)` is defined by `f(x) = (x+7)/x`. We have found `f(a)`, `f(a+h)`, and the difference quotient `(f(a+h)-f(a))/h` where `h≠0`. Thus, we have `f(a) = (a+7)/a`, `f(a+h) = (a+h+7)/(a+h)`, and the difference quotient is `(h(a+7))/(ah+h^2)`.

To know more about the difference quotient, visit:

brainly.com/question/6200731

#SPJ11

The sampling method described below appears to be flawed because it is a voluntary response sample.

Survey sampling, as used in statistics, is the process of choosing a sample of constituents from a target population to perform a survey. The word "survey" can be used to describe a wide range of observational methods or procedures. Most frequently, a questionnaire meant to assess people's traits and/or opinions is employed in survey sampling. The topic of survey data collecting is various methods of contacting sample participants after they have been chosen. Sampling is done to cut down on the expense and/or labor required to survey the complete target population.

Voluntary response sample: The researcher asks members of a population to participate; participants can choose whether or not to participate.

Learn more about Sampling methods:

https://brainly.com/question/24466382

#SPJ4

She needs to convert all the numbers be be the same type ( fraction or decimal).

With the numbers she has it would be easiest to convert all the numbers to decimals.

72/80 = 0.9

3 1/5 = 3.3

Pi = 3.14

Now she can arrange the decimals in order:

-2.9, 0.9, 2.979, 3.14, 3.2

She needs to switch 3 1/5 and pi

Answer:

3 1/5 is tha one

Step-by-step explanation:

Answer:

22°

Step-by-step explanation:

Triangle KJL ≅ Triangle MJL (RHS)

[JL = JL(common), KL = LM(given), angle KLJ = angle MLJ(given)]

we come up to the conclusion that 4x + 6 = 3x + 10

x = 4

∴angle KJL = 4(4) + 6 = 22°

It will take 15/2 hours for Mitch to run 1 mile. Cancelling out the common factors from numerator and denominator, the ratio reduces to 15/2.

Mitch ran 5/2 of a mile in 1/3 of an hour. To calculate how many hours it will take Mitch to run 1 mile, we need to use a ratio. The ratio is (5/2)/(1/3). To solve this, we need to multiply the numerator and denominator of the first fraction with the denominator of the second fraction, and then multiply the numerator and denominator of the second fraction with the denominator of the first fraction. So, the ratio becomes (5/2)*(3/1)/(1/3)*(2/1). Cancelling out the common factors from numerator and denominator, the ratio reduces to 15/2. This means that it will take 15/2 hours for Mitch to run 1 mile.

Learn more about hours here:

https://brainly.com/question/20379233

#SPJ4

The number of minutes a scented candle lasts if it burns out sooner than 80% of all scented candles is 244 minutes.

When the distribution is normal, we use the z-score formula.

In a set with mean µ and standard deviation σ , the z-score of a measure X is given by:

Z = (X – µ) / σ

The Z-score shows how many standard deviations the measure is from the mean. After finding the Z-score, need to look at the z-score table and discover the p-value associated with the z-score. This p-value is the probability that the value of the measure is smaller than X, means, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

So, in this case, given that:

µ = 249, σ = 20

The number of minutes a scented candle lasts if it burns out sooner than 80% of all scented candles:

100 – 80 = 20th percentile, which is X when Z has a p-value of 0.2. So, X when Z = –0.253.

Now, put all the values into the formula:

Z = (X – µ) / σ

–0.253 = (X – 249) / 20

X – 249 = –0.253 * 20

X = 244

Hence, the candle burns for 244 minutes.

Learn more about z-score at: https://brainly.com/question/15016913

#SPJ4

a) p(5) = $6.53

b) p(15) = $19.33

c) p(15) - p(5) = $12.80

d) p(15) - p(5) 15-5 represents the average increase in ticket price over a 10-year period, which is approximately $1.28 per year.

a) To find p(5), substitute x = 5 into the given equation: p(5) = 0.03(5)² + 0.42(5) + 5.78 = $6.53.

b) Similarly, to find p(15), substitute x = 15 into the equation: p(15) = 0.03(15)² + 0.42(15) + 5.78 = $19.33.

c) To calculate p(15) - p(5), subtract the value of p(5) from p(15): $19.33 - $6.53 = $12.80.

d) The expression p(15) - p(5) 15-5 represents the change in ticket price over a 10-year period (from 5 to 15). By simplifying the expression, we get ($19.33 - $6.53) / (15 - 5) ≈ $1.28. This means that, on average, the ticket price increased by approximately $1.28 per year during the 10-year period from 1996 to 2006. This interpretation indicates the rate at which ticket prices were rising during that time frame, allowing us to understand the average annual change in ticket prices over the given interval.

Learn more about average here:

https://brainly.com/question/30873037

#SPJ11

The minimum sum-of-products expression for the given function f is: f = x3x4(2x1 + 2x2 + x1x2 + x2x1x2)

To find the minimum sum-of-products expression for the given function f, we can use algebraic manipulation. Let's simplify the given expression step by step:

f = x1x3x4 + x2x3x4 + x1x2x3x4

First, let's consider the common factor x3x4 in the first two terms:

f = x1x3x4 + x2x3x4 + x1x2x3x4 = (x1 + x2)x3x4 + x1x2x3x4

Next, let's factor out x3x4 from the first two terms:

f = (x1 + x2)x3x4 + x1x2x3x4 = x3x4(x1 + x2 + x1x2)

Now, let's consider the common factor x3x4 in the final term:

f = x3x4(x1 + x2 + x1x2) = x3x4[(x1 + x2)(1 + x1x2)]

Finally, we can use the distributive property to expand (x1 + x2)(1 + x1x2):

f = x3x4(x1 + x2 + x1x2) = x3x4(x1 + x2 + x1 + x1x2 + x2 + x2x1x2) = x3x4(x1 + x1 + x2 + x2 + x1x2 + x2x1x2) = x3x4(2x1 + 2x2 + x1x2 + x2x1x2)

Therefore, the minimum sum-of-products expression for the given function f is: f = x3x4(2x1 + 2x2 + x1x2 + x2x1x2)

Learn more about sum-of-products

https://brainly.com/question/30386797

#SPJ11

The series 16+24+36+54+... diverges.

Divergent series are those that contain an infinite series that never converges and an infinite sequence of partial sums with no finite limit. In contrast, a series is considered to be convergent when its limits converge to its finite range of values. A limit that is finite in nature and exists for the partial sum of the series is crucial since only at that point will the series converge.

The given series in question 16 + 24 + 36 + 54 + deviates from the series. 16n, where n is the number of terms, can be used to denote the series' overall term. The total of the terms in the series also increases as n increases since 16n grows along with n, too. This indicates that the series diverges since it does not reach a particular finite value.

Read more about the series on:

https://brainly.com/question/24295771

#SPJ4

Answer:

x = 3

y = 2

Step-by-step explanation:

Equations

7x - 7y = 7                            

-4x - 7y = - 26                          Multiply both sides of the equation by - 1

-1(-4x - 7y = - 26)

4x + 7y = 26

Solution

Add the two equations together

7x - 7y = 7      

4x + 7y = 26

11x = 33                                  Divide by 11

11x/11 = 33/11

x = 3

4x + 7y= 26                           Use this equation to solve for y. Use x = 3

4*3 + 7y = 26                        Combine the left

12 + 7y = 26                          Subtract 12 from both sides

12 - 12 + 7y = 26 - 12            Combine

7y = 14                                  Divide by 7

7y/7 = 14/7

y = 2  

Answer:

55 + .45m

Step-by-step explanation:

The total cost of renting the car is the fixed cost plus the cost per mile

55 + .45m where m is the number of miles

y = 0.45m + 55 [equation]

m [number of miles] = 100

Step-by-step explanation:

Equation:

y = mx + b

y = 0.45m (# of miles) + 55 (daily fee)

To solve for m, the number of miles:

100 = 0.45m + 55

Subtract 55 from each side.

45 = 0.45m

Answer:

18.75 years

Step-by-step explanation:

first multiply the amount to the rate

5,000 × 8% = 400

second

7,500/ 400 = 18.75

it takes 18.75 to reach 7,500

Step-by-step explanation:

It Jun glt tm my tb my tu meri of ft me rh my

Answer:

(y-b)/m = x

Step-by-step explanation:

We need to isolate X!

y = mx + b

minus b

y-b=mx

divide by m

(y-b)/m = x

Hope this helps!

Answer:

Explanation:

y = mx + b

mx + b = y

mx + b - b = y - b

mx = y - b

ᵐˣ⁄ₘ = ʸ⁄ₘ - ᵇ⁄ₘ

Simplify

- PNW

Answer:

The answer to your problem is, 78

Step-by-step explanation:

Let’s divide in order to find the answer.

Round 3.55 to the nearest whole = 4

275 / 4

= 68.75

But if we instead of “ 4 “ we can add 3.55

275 / 3.55

= 77.46

Since it is a little over 77. We round it to 78. Due to it be measured in money

Thus the answer to your problem is, 78