Find the measure of ∠P.

A baseball stadium sells game tickets for $8 each and has a capacity of 200 people. The function M(x) = 8x represents the amount

ollegr [7]

The domain of the function is whole numbers less than or equal to 200

The given parameters;

cost of the game tickets = $8 per spectator

maximum capacity of the stadium = 200

The function for the amount of money the baseball stadium makes from ticket sales is given as;

M(x) = 8x

where;

x is the number of spectators

Since the maximum capacity of the stadium is 200, the number of spectators should be less or equal to 200.

x ≤ 200

Thus, the domain of the function is whole numbers less than or equal to 200

Learn more here: brainly.com/question/16892163

8 0

2 years ago

The length of time it takes to find a parking space at 9 A.M. follows a normal distribution with a mean of 7 minutes and a stand

julsineya [31]

Answer:

There is a 2.28% probability that it takes less than one minute to find a parking space. Since this probability is smaller than 5%, you would be surprised to find a parking space so fast.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by

$Z = \frac{X - \mu}{\sigma}$

After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X.

Also, a probability is unusual if it is lesser than 5%. If it is unusual, it is surprising.

In this problem:

The length of time it takes to find a parking space at 9 A.M. follows a normal distribution with a mean of 7 minutes and a standard deviation of 3 minutes, so $\mu = 7, \sigma = 3$ .

We need to find the probability that it takes less than one minute to find a parking space.

So we need to find the pvalue of Z when $X = 1$

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{1 - 7}{3}$

$Z = -2$

$Z = -2$ has a pvalue of 0.0228.

There is a 2.28% probability that it takes less than one minute to find a parking space. Since this probability is smaller than 5%, you would be surprised to find a parking space so fast.

5 0

3 years ago

The width of a rectangle is increasing at a rate of 5 inches per second and its length is increasing at the rate of 9 inches per

Marianna [84]

Answer:

The area of rectangle is changing at the rate of 33 square inches per second.

Step-by-step explanation:

We are given the following information:

Let W be the width of the rectangle and L be the length of rectangle.

Rate of change of width = $\frac{dW}{dt} = 5\text{ inches per second}$

Rate of change of length = $\frac{dL}{dt} = 9\text{ inches per second}$

We have to find rate of change of area at W = 2 and L = 3.

Rate of change of area = $\frac{dA}{dt}$

Area of rectangle = Length × Width

$\frac{dA}{dt} = \frac{d(LW)}{dt} = L\frac{dW}{dt} + W\frac{dL}{dt}$

Putting the values, we get

$\frac{dA}{dt} = 3(5) + 2(9) = 33\text{ square inches per second}$

The area of rectangle is changing at the rate of 33 square inches per second.

6 0

3 years ago

Approximate √1800 by the nearest hundredth.---- EXPLAIN HOW YOU GOT IT PLEASEEEEE

DENIUS [597]

42.43 you would just square root it by typing in 1800 then hitting the radical sign. Hope this helped

7 0

3 years ago

Create a story problem for 1/2 × 6

lawyer [7]

Answer: Mary had six pieces of candy but her mother didn’t want her having too much sugar. She took away half of her candy. How many pieces does she have now?

Step-by-step explanation:

3 0

3 years ago

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