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777dan777 [17]
2 years ago
11

Jerry and Jenny are setting up a lemonade stand

Mathematics
2 answers:
marin [14]2 years ago
8 0

Answer:

A. 12 cups

Step-by-step explanation:

1/5 of 180 is 36

to find 1/5 of something multiply it by 1/5

1/5 * 180 = 36

180 - 36 = 144

they have 144 cups after spilling 1/5

75% of 144 is 108

to find 75% of something is to multiply the number by 0.75

0.75 * 144 = 108

to find the remaining lemonade subtract sold from remaining

144 - 108 = 36

1/3 of 36 is 12

to find 1/3 of something multiply the number by 1/3

1/3 * 36 = 12

12 cups made it to the house

your answer is A.

hope this helps:)

alex41 [277]2 years ago
4 0

Answer:

12

Step-by-step explanation:

Step 1:

They spilt 1/5 on the way to the lemonade stand.

180 x 1/5

= 180/5

= 36

So they spilt 36 cups of lemonade on the way to the stand.

Number of cups left = 180 - 36

= 144

Step 2:

They sold 75% of 144 cups of lemonade

75/100 x 144      (divide both 75 and 100 by 25)

= 3/4 x 144         (divide 144 by 4)

= 3 x 36

= 108

So they sold 108 cups of lemonade.

Number of cups left = 144-108

= 36

Step 3:

They spilt 1/3 of 36 cups of lemonade on the way home.

36 x 1/3

= 36/3

= 12

Therefore they brought back 12 cups of lemonade home.

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umka2103 [35]

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Reading proficiency: An educator wants to construct a 99.5% confidence interval for the proportion of elementary school children
Shkiper50 [21]

Answer:

A sample size of 345 is needed so that the confidence interval will have a margin of error of 0.07

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error of the interval is given by:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

In this problem, we have that:

p = 0.69

99.5% confidence level

So \alpha = 0.005, z is the value of Z that has a pvalue of 1 - \frac{0.005}{2} = 0.9975, so Z = 2.81.

Using this estimate, what sample size is needed so that the confidence interval will have a margin of error of 0.07?

This is n when M = 0.07. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.07 = 2.81\sqrt{\frac{0.69*0.31}{n}}

0.07\sqrt{n} = 1.2996

\sqrt{n} = \frac{1.2996}{0.07}

\sqrt{n} = 18.5658

(\sqrt{n})^{2} = (18.5658)^{2}

n = 345

A sample size of 345 is needed so that the confidence interval will have a margin of error of 0.07

4 0
3 years ago
How do we get 45 in this????
ss7ja [257]

Answer:

A. 45h = 1,575

Step-by-step explanation:

Area of trapezoid = 1,575 cm² (given)

We are given the length of both bases, a = 63 cm and b = 27 cm

We need to find the formula that will enable us determine its height (h).

Thus:

Area of trapezoid = ½(a + b)h

Plug in the values

½(63 + 27)h = 1,575

½(90)h = 1,575

45h = 1,575

The answer is A. 45h = 1,575

8 0
3 years ago
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