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3 years ago

15

You buy 3 new shirts for $17 each and 5 new pairs of pants for $12 each. You give the cashier $110. Which of the following is a

good estimation of the change you will get back?

2 answers:

tiny-mole [99]3 years ago

6 0

Answer:

you still owe 1 dollar to the store

kvv77 [185]3 years ago

3 0

Answer:No change

Step-by-step explanation:

3*17=51 + 5*12=60

So 51+60=111. So in reality you would still need to pay $1.

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Sam uses 2/3 cup of sugar to make cookies. How many cups will Sam use to make five batches. Write your answer in two ways. Impro

frosja888 [35]

Answer:

Improper fraction = 10/3 cups

Mixed fraction = 3 1/3 cups

Step-by-step explanation:

Given;

Sam uses 2/3 cup of sugar to make cookies

Rate = 2/3 cup per batch

To make 5 batches, he would need;

Amount = number of batches × rate per batch

Amount = 5 batches × 2/3 cups per batch

Amount of sugar he would need = 10/3 or 3 1/3 cups

4 0

3 years ago

Calculate the sample mean and sample variance for the following frequency distribution of heart rates for a sample of American a

spin [16.1K]

Answer:

$Mean = 68.9$

$s^2 =18.1$ --- Variance

Step-by-step explanation:

Given

$\begin{array}{cccccc}{Class} & {51-58} & {59-66} & {67-74} & {75-82} & {83-90} \ \\ {Frequency} & {6} & {3} & {11} & {13} & {4} \ \end{array}$

Solving (a): Calculate the mean.

The given data is a grouped data. So, first we calculate the class midpoint (x)

For 51 - 58.

$x = \frac{1}{2}(51+58) = \frac{1}{2}(109) = 54.5$

For 59 - 66

$x = \frac{1}{2}(59+66) = \frac{1}{2}(125) = 62.5$

For 67 - 74

$x = \frac{1}{2}(67+74) = \frac{1}{2}(141) = 70.5$

For 75 - 82

$x = \frac{1}{2}(75+82) = \frac{1}{2}(157) = 78.5$

For 83 - 90

$x = \frac{1}{2}(83+90) = \frac{1}{2}(173) = 86.5$

So, the table becomes:

$\begin{array}{cccccc}{x} & {54.5} & {62.5} & {70.5} & {78.5} & {86.5} \ \\ {Frequency} & {6} & {3} & {11} & {13} & {4} \ \end{array}$

The mean is then calculated as:

$Mean = \frac{\sum fx}{\sum f}$

$Mean = \frac{54.5*4+62.5*3+70.5*11+78.5*13+86.5*4}{6+3+11+13+4}$

$Mean = \frac{2547.5}{37}$

$Mean = 68.9$ -- approximated

Solving (b): The sample variance:

This is calculated as:

$s^2 =\frac{\sum (x - \overline x)^2}{\sum f - 1}$

So, we have:

$s^2 =\frac{(54.5-68.9)^2+(62.5-68.9)^2+(70.5-68.9)^2+(78.5-68.9)^2+(86.5-68.9)^2}{37 - 1}$

$s^2 =\frac{652.8}{36}$

$s^2 =18.1$ -- approximated

5 0

3 years ago

A group of 5 friends spent a total of $18 on a bottle of juice and a package of dried fruit for each of them. Each juice cost $1

klemol [59]

The answer is $2.35
if u add $1.25 and $2.35 you get $3.60
then u multiply $3.60 by 5 which gives you 18

4 0

4 years ago

Read 2 more answers

Suppose f(x)= 4x/3+5 and g(x) = x/3 +1. solve for x when f(x)=g(x)

yuradex [85]

$\bf \begin{cases}
f(x)=\cfrac{4x}{3}+5\\\\
g(x)=\cfrac{x}{3}+1
\end{cases}\qquad f(x)=g(x)\implies \cfrac{4x}{3}+5=\cfrac{x}{3}+1$

solve for "x" then

4 0

3 years ago

What is the the volume of this?<br><br> Also you can explain just make the explanation short

fgiga [73]

15×20×10=3000
10×20×15=3000
3000+3000=6000 $cm^{2}$

6 0

3 years ago