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densk [106]
3 years ago
11

Learning Task 3: Solve the given problems. Write your answers in your answer sheet.

Mathematics
1 answer:
KonstantinChe [14]3 years ago
3 0

Answer:

Team Nara collected more water

1.402 > 1.045

so team nara wins

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Lina20 [59]

Answer:

4/2

Step-by-step explanation:

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2 years ago
In the past, 19% of all homes with a stay-at-home parent had the father as the stay-at-home parent. An independent research firm
Oksi-84 [34.3K]

Answer:

A sample size of 657 is needed.

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 is:

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

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

In the past, 19% of all homes with a stay-at-home parent had the father as the stay-at-home parent.

This means that \pi = 0.19

(a) What sample size is needed if the research firm's goal is to estimate the current proportion of homes with a stay-at-home parent in which the father is the stay-at-home parent with a margin of error of 0.03?

A sample size of n is needed.

n is found when M = 0.03

Then

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

0.03 = 1.96\sqrt{\frac{0.19*0.81}{n}}

0.03\sqrt{n} = 1.96\sqrt{0.19*0.81}

\sqrt{n} = \frac{1.96\sqrt{0.19*0.81}}{0.03}

(\sqrt{n})^{2} = (\frac{1.96\sqrt{0.19*0.81}}{0.03})^{2}

n = 656.91

Rounding up to the nearest whole number.

A sample size of 657 is needed.

5 0
3 years ago
A cylinder and a cone have the same base and altitude. If the volume of the cone is 30 cubic inches, what is the volume of the c
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Answer:

im not completely sure but I'd say 30

Step-by-step explanation:

well I'm not sure but if they have the same base and altitude you'd think they might have the same volume, but I'm not exactly sure

6 0
2 years ago
Create a recursive formula for this sequence (linear)
svetoff [14.1K]

the answer is 3n-2 please do you get it

4 0
2 years ago
What is something you might see a scientist doing?
dusya [7]

Answer:

Scientist's do just general things anyone else would do to solve a problem.

Step-by-step explanation:

Scientists use their senses to observe

Scientists measure things, including distances, and weights.

Scientists also communicate their findings with other scientists and with the public.

If you have any questions feel free to ask in the comments.

4 0
3 years ago
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