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2 years ago

8

Sarah is pouring soda into papercups. She has 4.5 liters of soda. If each papercup holds 0.25 liters, how many papercups will sh

e fill?

1 answer:

faltersainse [42]2 years ago

5 0

Answer:

18

Step-by-step explanation:

4.5 liters / .25 liters/pcup = 18 pcups

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What is the length of segment AB? (4 points)

Sveta_85 [38]

Answer:

10 units

Step-by-step explanation:

$\sqrt{(0-6)^{2} +(10-2)^{2} }\\\\\sqrt{(-6)^{2}+(8)^{2} } \\\\\sqrt{36+64}\\\\\sqrt{100}\\\\10$

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3 years ago

Every month, $35 is withdrawal from Tony saving account to pay for his gym membership. He has enough savings to withdraw no more

schepotkina [342]

9 is your answer
because 10times35 is 350 -35 is 315

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2 years ago

write the equation in slope-intercept form with y intercept of −3 and an x intercept of −4.5.plz help thanks!

Mashcka [7]

The equation of the line is y = -2/3x - 3.

To find this, we first need to turn the intercepts into ordered pairs.

x intercept: (-4.5, 0)

y intercept: (0, -3)

Now we can use these two points and the slope equation to find slope.

m = (y2 - y1)/(x2 - x1)

m = (0 - -3)/(-4.5 - 0)

m = 3/-4.5

m = -2/3

Now that we have the slope, we can use slope intercept form to find the intercept.

y = mx + b

-3 = 2/3(0) + b

-3 = 0 + b

-3 = b

Which allows us to model the equation as y = -2/3x - 3

4 0

3 years ago

Find the x value of x. If necessary round to the nearest tenth. A=49sq.in.

grigory [225]

Answer:

$9.9 ~in$ ✔︎

Step-by-step explanation:

$A=1/2 ~ base * height$

$49=1/2(x)(c)$

$98=x^2$

$x=\sqrt{98}$

$x=7\sqrt{2}$

$x=9.9$

༄❁༄❁༄❁༄❁༄

hope it helps...

have a great day!!

4 0

2 years ago

A sample of 25 undergraduates reported the following dollar amounts of entertainment expenses last year:

marin [14]

Answer:

$Range = 85$

$\sigma = 28.71$

$Interval = [666.78, 781.62]$

Step-by-step explanation:

Given

The data for 25 undergraduates

Solving (a): Range and Standard deviation

The range is:

$Range = Highest - Least$

From the dataset:

$Highest = 772$

$Least = 687$

So:

$Range = Highest - Least$

$Range = 772-687$

$Range = 85$

The standard deviation is:

$\sigma = \sqrt{\frac{\sum(x - \bar x)^2}{n}}$

First, calculate the mean

$\bar x = \frac{769 +691 +............+715}{25}$

$\bar x = \frac{18105}{25}$

$\bar x = 724.2$

So, the standard deviation is:

$\sigma = \sqrt{\frac{(769-724.2)^2 +(691-724.2)^2 +(699-724.2)^2 +(730-724.2)^2 +............+(715-724.2)^2}{25}}$

$\sigma = \sqrt{\frac{20604}{25}}$

$\sigma = \sqrt{824.16}$

$\sigma = 28.71$

Solving (b): The interval of the 95% of the observation.

Using the emperical rule, we have:

$Interval = [\bar x - 2*\sigma, \bar x+ 2*\sigma]$

$Interval = [724.2 - 2*28.71, 724.2 + 2*28.71]$

$Interval = [666.78, 781.62]$

4 0

2 years ago