Question 1(Multiple Choice Worth 1 points)

Tyler reads 2/15 of a book on Monday, 1/3 of it on tuesday, 2/9 of it on Wednesday, and 3/4 of the remainder on thus day. If he

kykrilka [37]

The number of pages in the book is 180

<u>Explanation:</u>

The first thing we should do is to convert these fractions to percentage

$Monday = \frac{2}{15} X 100 = 13.33\\\\Tuesday = \frac{1}{3} X 100 = 33.33%\\\\\\Wednesday = \frac{2}{9} X 100 = 22.22%\\\\\\\\$

3/4 of the remainder on thursday:

Thursday: (100 - (13.33 + 33.33 + 22.22) * (3/4) = 23.33%

he still has 14 pages left to read on friday

Friday: [100 - (13.33 + 33.33 + 22.22) ] - 23.33 = 7.77%

Which means that 14 pages represent 7.77% of the book.

Therefore the number of pages of the book is given by:

$=\frac{100}{7.77} X 14\\\\= 180$

Therefore, number of pages in the book is 180

4 0

2 years ago

A study analyzed the average yearly salt intake in the United States from 2012 thru 2017. The data is summarized in the table: Y

Nuetrik [128]

Answer:

Is an estimate of the average grams of salt used in 2012

Step-by-step explanation:

Let

x ---> the number of years since 2012

f(x) ---> is the total amount of salt ingested in grams

we have

$f(x)=52.3x+3.548$

This is a linear equation in slope intercept form

where

The slope is equal to

$m=52.3\ grams/ year$

The y-intercept or initial value is equal to

$b=3,548\ grams$

The y-intercept is the value of the function f(x) when the value of x is equal to zero

In this context, the y-intercept is the average amount of grams of salt ingested in the year 2012

The exact value of the average amount of grams of salt ingested in the year 2012 is 3,554 grams (see the data in the table)

Compare the exact value with the y-intercept

$3,554\ g\neq 3,548\ g$

therefore

3,548 grams Is an estimate of the average grams of salt used in 2012

7 0

2 years ago

Assume that a study of 500 randomly selected airplane routes showed that 482 arrived on time. Select the correct interpretation

Westkost [7]

Answer: C. Significant at 0.036

Step-by-step explanation:

Given:

Number of selected samples Ns= 500

Number of airplane that arrive on time Na = 482.

Number of airplane that arrive late Nl = 500 - 482 = 18

The probability that an airplane arrive late:

P(L) = Nl/Ns

P(L) = 18/500

P(L) = 0.036

Interpret an event as significant if its probability is less than or equal to 0.05.

Since P(L) < 0.05

P(L) = Significant at 0.036

4 0

2 years ago

Steve started with $250 and spent $25 per week. Chelsea started with $30 and saved $30 per week. Use x for time and y for saving

blsea [12.9K]

Steve and Chelsea will have the same amount of money on the 12 week. I can’t graph it but I am a little sure that is the answer

8 0

2 years ago

Read 2 more answers

A high school coach needs to buy new athletic shorts for the 15 members of the basketball team. The coach must spend less than $

Studentka2010 [4]

Answer:

15x < 200; x < 13.33; the maximum price for a pair of shorts

Step-by-step explanation:

1. Set up the inequality

Let x = price of a pair of shorts. Then

15x = price of shorts for the team

You have one condition:

15x < 200

2. Solve the inequality

$\begin{array}{rcl}15x & < & 200\\\\x & < & \dfrac{200}{15}\\\\x & < & \mathbf{13.333}\\\end{array}$

3. Meaning of solution

The solution represents the maximum price the coach can pay for a pair of shorts.

If the coach pays $13.33 per pair, the total cost for the team will be $199.95, and the condition is satisfied.

4 0

2 years ago

Read 2 more answers