Hey I would love to help you out with this, but I have a question. what is the slopes number? It wasn’t put in. Once you tell me I will be happy to help you out.

6 0

3 years ago

A set of sofa prices are normally distributed with a mean of 2500 dollars and a standard deviation of 200 dollars.

blagie [28]

We have been given that a of sofa prices are normally distributed with a mean of 2500 dollars and a standard deviation of 200 dollars. A leather sofa has a price of 2410 dollars. We are asked to find the proportion of sofa prices that are higher than the price of the leather sofa.

First of all, we will find the z-score corresponding to sample score 2410.

$z=\frac{x-\mu}{\sigma}$

$z=\frac{2410-2500}{200}$

$z=\frac{-90}{200}$

$z=-0.45$

Now we need to find area under normal curve that is greater than z-score of $-0.45$ that is $P(z>-0.45)$ .

Using formula $P(z>a)=1-P(z$ , we will get:

$P(z>-0.45)=1-P(z$

Now we will find area under curve using normal distribution table.

$P(z>-0.45)=1-0.32636$

$P(z>-0.45)=0.67364$

Upon rounding to 4 decimal places, we will get:

$P(z>-0.45)\approx 0.6736$

Therefore, approximately 0.6736 of sofa prices are higher than the price of the leather sofa.

8 0

3 years ago

A booster club sells raffle tickets • Before tickets go on sale to the public, 120 tickets are sold to student athletes. • After

GaryK [48]

Answer:

The top graph.

Step by step:

Before the tickets go on sale, 120 tickets were already sold.

After that, the tickets sell at a constant rate for a total of 8 hours.

At the end of this time, all the tickets were sold (we have 0 tickets left)

If x (horizontal axis) represents the hours since tickets go on sale, and y (vertical axis) represents the number of raffle tickets sold.

Then, at x = 0, we should already see y = 120

Because we start with 120 tickets sold.

Then, as x increases, the number of tickets sold also should increase, until we get x = 8 hours, where y stops increasing because all tickets are already sold.

Then we should have an increasing line that stops increasing at x = 8 hours.

Then the correct option is the above graph, where we have:

An increasing line.

y = 120 in the vertical axis (y = 120 when x = 0)

3 0

3 years ago