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zhuklara [117]
3 years ago
15

Mrs. Perry is taking a group of students to the Clark Planetarium where tickets cost $7 each. The bus will cost $50 and she has

a budget of $200. How many people can attend under these constraints?​
Mathematics
1 answer:
kenny6666 [7]3 years ago
7 0
Answer:
71 people can attend under these constraints

Explanation:

So you write the slope intercept form equation which is 7x+50=200
You got 7x because every tickets cost 7
You add 50 because of the bus
And you’re wondering how many people are able to go by just spending about $200

So you subtract 50 on both side and you are left with 7x=150 so you have to divide 7 on both side next and you get about 71.4... so basically just round it up to 71 people
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Use the information from the polling agency to determine the sample size needed to construct a 95% confidence interval with a ma
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Answer:

the sample size n= 771

sample proportion is p = 1/2

Step-by-step explanation:

<u>Step1:</u>-

marginal error formula is \frac{2S.D}{\sqrt{n} }

but if 'n' is sample size then n = \frac{1}{(margin error)^{2} }

Given margin error is 36% = 0.036

n= \frac{1}{(0.036)^2}

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<u>Step 2</u>:-

Margin of error = \frac{2\sqrt{p(1-p)} }{\sqrt{n} }

substitute values , we get

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after simplification, we get

\sqrt{p(1-p)} = \frac{1}{2}

squaring on both sides, we get

p(1-p) = \frac{1}{4}

multiply 'p' inside

p-p^{2} =\frac{1}{4}

cross multiplication '4' and simplify

4p^{2} -4p +1 =0 ........(1)

finding 'p' value

The equation (1) is of the form (a-b)^{2} = a^{2} -2ab+b^{2}

(2p)^{2} -2(2p)(1)+1^{2} = (2p-1)^2

(2p-1)^2 =0

p=\frac{1}{2}

<u>conclusion</u>:-

The sample size is 771

the sample proportion is p = \frac{1}{2}

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