Explain how to find the domain and range for a graph.

Seawall Bike Rental Shop charges a $11 fixed fee plus $9 an hour to rent a bike. Steve paid $56 to rent a bike. How many hours

I am Lyosha [343]

Answer:

5

Step-by-step explanation:

He paid $56 to rent a bike. 56/9 is 5 with a remainder of 11. He paid the fixed fee of $11 and rented the bike for 5 hours.

6 0

4 years ago

Read 2 more answers

Marcella Heinz purchased office supplies at Office Emporium for $107.64. She then purchased an English-Spanish dictionary for $1

Sliva [168]

The total amount of tax on her purchases to the nearest cent will be $9.97

Explanation

Marcella Heinz purchased office supplies for $107.64 and then she purchased an English-Spanish dictionary for $16.95

So, the total amount of her purchases $=\$107.64+\$16.95=\$ 124.59$

On the total amount of the purchases, she paid state sales tax of 7.5% and the county tax of 0.5%

So, the amount of the state sales tax $=\$124.59*7.5\%= \$124.59*0.075=\$9.34425$

and the amount of county tax $=\$124.59*0.5\% =\$124.59*0.005 = \$0.62295$

Thus, the total amount of tax on her purchases $=\$9.34425+\$0.62295= \$9.9672 \approx 9.97$ (Rounded to the nearest cent)

8 0

4 years ago

2+32 + 3 + 5 + 5 + 5

Sergeu [11.5K]

Solution

We have the following expression:

2+32+3+5+5+5

And we can do this:

34 +3+5+5+5

37 + 5 +5 +5

42 +5+5

42+10 =52

Finala answer : 52

4 0

1 year ago

a book store cost $80 a day to keep open, and it spends $15 for each book that it sells. if each book sells for $23, what is the

aalyn [17]

The break even point for this book store is 10

Solution:

Given that, book store cost $80 a day to keep open, and it spends $15 for each book that it sells

Cost to open the book store = $ 80

The formula for solving the break even point (BEP) is:

$BEP = \frac{\text{Fixed cost}}{\text{Selling price - variable cost}}$

Fixed Cost is the cost that remains constant whether the services provided or products sold increases or decreases

Variable Cost is the cost that varies or differs in proportion to the products or services produced, whether they increased or decreased

In this problem,

Fixed cost = $ 80

Selling price = $ 23

Variable cost = $ 15

Therefore,

$BEP = \frac{80}{23-15}\\\\BEP = \frac{80}{8}\\\\BEP = 10$

Thus break even point for this book store is 10

In order for the bookstore to continue its business, it should sell at least 10 books to meet its $80 cost

6 0

4 years ago

Read 2 more answers

High blood pressure has been identified as a risk factor for heart attacks and strokes. The proportion of U.S. adults with high

KengaRu [80]

Answer:

1. It is not appropriate to use the normal curve, since np = 7.4 < 10.

2. The probability that more than 32% of the people in this sample have high blood pressure is 0.0033 = 0.33%.

Step-by-step explanation:

Binomial approximation to the normal:

The binomial approximation to the normal can be used if:

np >= 10 and n(1-p) >= 10

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Normal probability distribution

Problems of normally distributed distributions 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:

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

The Z-score measures how many standard deviations the measure is from the mean. 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, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}}$

The proportion of U.S. adults with high blood pressure is 0.2. A sample of 37 U.S. adults is chosen.

This means, respectively, that $p = 0.2, n = 37$

Is it appropriate to use the normal approximation to find the probability that more than 48% of the people in the sample have high blood pressure?

np = 37*0.2 = 7.4 < 10

So not appropriate.

It is not appropriate to use the normal curve, since np = 7.4 < 10.

Part 2:

Now n = 82, 82*0.2 = 16.4 > 10, so ok

Mean and standard deviation:

By the Central Limit Theorem,

Mean $\mu = p = 0.2$