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3 years ago

A baseball team won 5 out of every 6 games they played if they played 162 games how many did they lose

Mathematics

2 answers:

Brrunno [24]3 years ago

7 0

Answer: 27

Step-by-step explanation:

If they won every 5 out of 6 that means they lost 1 game since 6 - 5 = 1

So make a proportion and cross multiply:

1/6 = x/162 ---> 1 * 162/6 = 27

laila [671]3 years ago

6 0

Answer:

144

Step-by-step explanation:

10 x 5 = 50

10 x 6 = 60

54 out of 60 won which means 108 out of 120 won

7 x 6 = 42

42 - 6 = 36

36 out of 42 won

108 + 36 = 144 won

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An automobile manufacturer claims that its van has a 40.3 miles/gallon (MPG) rating. An independent testing firm has been contra

vovikov84 [41]

Answer:

The value of the test statistic is -2.64.

Step-by-step explanation:

The test statistic is:

$t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the expected(claimed) mean, $\sigma$ is the standard deviation and n is the size of the sample.

An automobile manufacturer claims that its van has a 40.3 miles/gallon (MPG) rating.

This means that $\mu = 40.3$

After testing 250 vans, they found a mean MPG of 39.9. Assume the standard deviation is known to be 2.4.

This means, respectively, that:

$n = 250, X = 39.9, \sigma = 2.4$

$t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$t = \frac{39.9 - 40.3}{\frac{2.4}{\sqrt{250}}}$

$t = -2.64$

The value of the test statistic is -2.64.

7 0

3 years ago

What Is 1 - 1/3? <br> Fraction Skills

ANEK [815]

Answer:

2/3

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

The table below shows the amount of money needed to buy certain amounts of fabric.

Karo-lina-s [1.5K]

Answer:

Do you have the a picture of the table

8 0

3 years ago

You plan to go skiing this weekend in Tennessee. The ski resort charges $18.50 per hour in addition to a $100 deposit to rent sk

Rina8888 [55]

Answer:

Part a) $y=18.50x+100$

Part b) The total cost is $\$220.25$

Part c) see the explanation

Step-by-step explanation:

Part a) Write a linear equation to represent this situation

Define the variables

Let

x ----> the number of hours

y ----> the total cost in dollars

we know that

The linear equation in slope intercept form is equal to

$y=mx+b$

where

m is the slope or the unit rate

b is the y-intercept or initial value (value of y when the value of x is equal to zero)

In this problem we have that

The unit rate or slope is equal to

$m=\$18.50\ per\ hour$

The y-intercept or initial value is equal to

$b=\$100$

substitute

$y=18.50x+100$

Part b) Use the equation to find the total cost to rent skis from 8:30 am to 3:00 pm

Remember that

3:00 pm=15:00

from 8:30 am to 3:00 pm, the total hours is equal to

15:00 -8:30=6:30=6.5 h

For x=6.5 h

substitute in the linear equation and solve for y

$y=18.50(6.5)+100\\y=\$220.25$

Part c) What does your answer mean in context of the problem?

we have that

y=220.25

That means -----> The total cost to rent skis for 6.5 hours is equal to $220.25

8 0

3 years ago

Write the equation of the line that passes through the points (-6,-1) and (-4,2). Put your answer in fully simplified point-slop

Archy [21]

$(\stackrel{x_1}{-6}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{-4}~,~\stackrel{y_2}{2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{2}-\stackrel{y1}{(-1)}}}{\underset{run} {\underset{x_2}{-4}-\underset{x_1}{(-6)}}} \implies \cfrac{2 +1}{-4 +6} \implies \cfrac{ 3 }{ 2 }$

$\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-1)}=\stackrel{m}{\cfrac{3}{2}}(x-\stackrel{x_1}{(-6)}) \implies {\large \begin{array}{llll} y +1= \cfrac{3}{2} (x +6) \end{array}}$

4 0

1 year ago