A sanitation supervisor is interested in testing to see if the mean amount of garbage per bin is different from 50. In a random sample of 36 bins, the sample mean amount was 48.99 pounds and the sample standard deviation was 3.7 pounds. Conduct the appropriate hypothesis test using a 0.01 level of significance.
a) What is the test statistic? Give your answer to four decimal places.
b) What is the P-value for the test? Give your answer to four decimal places.

Answer:

He would have detailed 16 cars.

Step-by-step explanation:

912/57=16

" I hoped I helped you matey : - ) "

Slope (m)= y\x= 9/2 = 4.5

your equation for the line is

y=4.5x+3.5

The values of x and y are given as follows:

The geometric mean theorem states that the length of the altitude drawn from the right angle of a triangle to its hypotenuse is equal to the geometric mean of the lengths of the segments formed on the hypotenuse.

The bases for this problem are given as follows:

2 and x.

The altitude is given as follows:

6.

Hence the length x is given as follows:

2x = 6²

2x = 36

x = 18.

Applying the Pythagorean Theorem, the length y is given as follows:

y² = 18² + 6²

y² = 360

\(y = \sqrt{36 \times 10}\)

\(y = 6\sqrt{10}\)

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Answer:

od

Step-by-step explanation:

When water is heated on a stove, thermal energy is transferred from the element to the water.

Energy is the quantitative property that is transferred to a body or to a physical system, recognizable in the performance of work and in the form of heat and light.

Given that When water is heated on a stove.

We need to find the type of energy is transferred from the element to the water.

Boiling water on a stove is an example of thermal energy.

Thermal energy refers to the energy contained within a system that is responsible for its temperature.

Heat is the flow of thermal energy.

Thermal energy is produced when the atoms and molecules in a substance vibrate faster due to a rise in temperature.

Hence, When water is heated on a stove, thermal energy is transferred from the element to the water.

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Answer:

442

Step-by-step explanation:

you can download g a u t h m a t h for questions like this, good luck :D

At least 75% of the data might very well fall between $3.25 and $3.81. According to Chebyshev's theorem, at least 75% of the value systems in a distribution are well within 2 the mean standard deviation.

A delivery has at least 89% of its values inside of three of the mean's standard deviation.

We have the following in this problem:

Mean = $3.53

$0.14 is the standard deviation.

Using Chebyshev's Theorem, determine the range that contains least 75% of the information will live.

2 standard deviations from the mean.

So 3.53 - 2*0.14 = $3.25 becomes 3.53 + 2*0.14 = $3.81.

At least 75% of the data might very well fall between $3.25 and $3.81.

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Answer:

96.25%

Step-by-step explanation:

The empirical rule regarding mean and standard deviation is that

Therefore between mean and +2 standard deviation or between mean and -2 standard deviation you will find  approximately 95/2 = 47.5% of the values

Between mean and ± 3 standard deviations you will find approximately 97.5/2 = 48.75% of the values

Therefore between 2 standard deviations above and 3 standard deviations below you will find approximately 47.5 + 48.75 = 96.25% of values

If X is a random variable representing the number of children that end up having light-colored eyes, then X follows a binomial distribution with success probability p = 0.25 and number of trials n = 5.

The variance of a binomial distribution with these parameters is n p (1 - p), so the variance in this case would be

5 • 0.25 • (1 - 0.25) = 0.9375 ≈ 0.9

Answer:

Step-by-step explanation:

\(2( - 6c + 3) + 4c \\ 2( - 6c) + 2(3) + 4c \\ - 12c + 6 + 4c \\ - 12c + 4c + 6 \\ - 8c + 6 \\

Answer:

12km in real life.

Step-by-step explanation:

Please mark brainliest.

Answer: 20

Step-by-step explanation:

(3+7)*2 = 20

Answer:

20 square inches

Step-by-step explanation:

Probabilities are used to determine the chances of events

The probability that exactly 14 of the tickets have popcorn coupons is 0.1604

The parameters are given as:

\(n = 21\) -- the sample size

\(r = 14\) -- the count of tickets

\(p = 0.717\) --- the probability of a movie ticket having a popcorn coupon

The probability that 14 of the 21 tickets have popcorn coupon is calculated using the following binomial probability formula

\(P(x =r) =^nC_r p^r(1 -p)^{n-r}\)

So, we have:

\(P(x =14) =^{21}C_{14} * (0.717)^{14} * (1 -0.717)^{21-14}\)

\(P(x =14) =116280 * (0.717)^{14} * (1 -0.717)^7\)

\(P(x =14) =0.16042729141\)

Approximate

\(P(x =14) =0.1604\)

Hence, the probability that exactly 14 of the tickets have popcorn coupons is 0.1604

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Answer:

I would say September 10 just because it takes 27 days, 7 hours, and 43 minutes for our Moon to complete one full orbit around Earth.

Step-by-step explanation:

Answer:

The question is not complete

Answer: The median value of data set B is -5.5, which is less than the median value of 3.1 in dataset A.

Step-by-step explanation:

Order the dataset from least to greatest:

-38 → -13 → -9 → -2 → 14 → 28

Then find the values that lies in the middle:

-38 → -13 → -9 → -2 → 14 → 28

Since there are 2 values, find the average of those 2 values:

\(\frac{-9+(-2)}{2} =\frac{-11}{2} =-5.5\)

The median value = -5.5.

The median value of data set B is -5.5, which is less than the median value of  3.1 in dataset A.

Answer:

the approximate value of m is -0.12, indicating that the value of Ty's computer decreases by 0.12 (or 12%) each year.

Step-by-step explanation:

o express this depreciation rate as a slope in the equation y = mx + b, we need to determine how much the value changes (the "rise") for each year (the "run").

Since the value decreases by 12% per year, the slope (m) would be -12%. However, we need to express the slope as a decimal, so we divide -12% by 100 to convert it to a decimal:

m = -12% / 100 = -0.12

Answer:

4.9 feet

Step-by-step explanation:

First, we need to determine the height of the building using the following:

\(L^2 = H^2 + B^2\)

Where

H = Height of the building

L = Length of the first ladder = 20ft

B = Distance from the base of the building = 10ft

So, we have:

\(20^2 = H^2 + 10^2\)

\(400 = H^2 + 100\)

\(H^2 = 400 - 100\)

\(H^2 = 300\)

\(H = \sqrt{300\)

Next, is to determine the distance of the new ladder from the base of the building (B) using Pythagoras theorem using:

\(L_2^2 = H^2 + B_2^2\)

Where

\(L_2 = 18\) --- Length of the second ladder

\(H = \sqrt{300\) ----- Height of the building

So, we have:

\(18^2 = \sqrt{300}^2 + B_2^2\)

\(324 = 300 + B_2^2\)

\(B^2_2 = 324 - 300\)

\(B^2_2 = 24\)

Solving for B2, we have:

\(B_2 = \sqrt{24\)

\(B_2 = 4.9\)

Answer:

31

Step-by-step explanation:

Let x and (x + 1) be the page numbers Josiah can see

Hint 1: x(x + 1) = 930

⇒ x² + x = 930

⇒ x² + x - 930 = 0

Using quadratic formula,

\(x = \frac{-b\pm\sqrt{b^2 -4ac} }{2a}\)

a = 1, b = 1 and c = -930

\(x = \frac{-1\pm\sqrt{1^2 -4(1)(-930)} }{2(1)}\\\\= \frac{-1\pm\sqrt{1 +3720} }{2}\\\\= \frac{-1\pm\sqrt{3721} }{2}\\\\= \frac{-1\pm61 }{2}\\\)

\(x = \frac{-1-61 }{2}\;\;\;\;or\;\;\;\;x= \frac{-1+61 }{2}\\\\\implies x = \frac{-62 }{2}\;\;\;\;or\;\;\;\;x= \frac{60 }{2}\\\\\implies x = -31\;\;\;\;or\;\;\;\;x= 30\)

Sice x is a page number, it cannot be negative

⇒ x = 30 and

x + 1 = 31

The two pages Josiah can see are pg.30 and pg.31

Hint 2: The page he is reading is an odd number

Out of the pages 30 and 31, 31 is an odd number

Thereofre, Josiah is reading page 31

The graph of the linear inequality y ≥ 2x - 5 is attached below with it's shaded part included.

The graph of an inequality in two variables is the set of points that represents all solutions to the inequality. A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality.

In the given problem, the inequality presented is;

y ≥ 2x - 5

To graph this, we would use a graphing calculator to find the boundary lines and plane.

In the graph below, the x and y intercept is at (2.5, -5) and the shaded part is on the left side of the graph.

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Answer:

Step-by-step explanation:

2:5 for every 2 sandwiches  there are 5 cartons of milk

sandwich to milk carton

4:10

Step-by-step explanation:

T = 5200 = .2 ( E - 10600)

       5200 / .2 = E - 10600

            E = 5200/.2   + 10 600 = 36600 pounds

Answer:

w = 120

x = 60

y = 120

z = 60

Step-by-step explanation:

w = 120 (vertically opposite angles)

sum of co interior angles is 180

⇒ w + x = 180 and x + y = 180

w + x = 180

⇒ 120 + x = 180

⇒ x = 180 - 120

⇒  x = 60

x + y = 180

⇒  60 + y = 180

⇒   y = 180 - 60

⇒   y = 120

z = x (corresponding angles)

z = 60

The probability that a person will purchase no more than one costume is given as follows:

93%.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

The total number of outcomes for this problem is given as follows:

187 + 228 + 29 = 444.

Only 29 people purchased more than one costume, hence the probability of at most one costume is calculated as follows:

(444 - 29)/444 = 0.93 = 93%.

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Therefore the measure of angle 1 is 36°

Answer:

Hi

Step-by-step explanation:

Please paste your question so I can solve it

Thanks

Answer:

1

Step-by-step explanation:

a) The number of possible access codes is 1000.

b) The probability of randomly selecting the correct access code on the first try is 1/1000

c) The  probability of not selecting the correct access code on the first try is 999/1000.

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.

The degree to which something is likely to happen is basically what probability means.

a) There are 10 digits from 0 to 9.

First digit= 10 ways

Second digit= 10 ways

Third Digit = 10 ways

Then, possible outcomes

= 10 x 10 x 10

= 1000  

b) Exactly 1 out of 1000 codes will be correct

Favorable outcomes= 1

so, probability of randomly selecting the correct access code on the first try

= 1/1000

c) The probability of not selecting the correct access code on the first try.

=1- 1/1000

= 999/1000

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Answer:

Find the difference (subtract) between the accepted value and the experimental value, then divide by the accepted value. To determine if a value is precise find the average of your data, then subtract each measurement from it.

Step-by-step explanation:

a. See image below

b. This is a positive association between the number of apples and the weight

c. The estimate of the y-intercept of my line of best fit to the nearest half-pound is 2 pounds

In mathematics, a positive association refers to a relationship between two variables where an increase in the value of one variable is accompanied by an increase in the value of the other variable. This means that as one variable increases, the other variable also tends to increase.

Thus, as the pound increased, so did the number of apples, so this is a positive association

c. The estimate: when x= 0, the y-intercept is 2.0 pounds

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Answer:

Gina

Step-by-step explanation:

Bella's bedroom is 3m x 6m = 18m^2

Gina's bedroom is 5m x 5m = 25m^2

Answer:

The price of the shirt is $24.63.

Step-by-step explanation:

Let's assume the price of the shirt is x. Then the price of the wallet will be x - 15. We know that the total cost before tax is 34.26, so we can set up the equation:

x + (x - 15) = 34.26

Simplifying, we get:

2x - 15 = 34.26

Adding 15 on both sides:

2x = 49.26

Dividing by 2:

x = 24.63

Therefore, the price of the shirt is $24.63.