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3 years ago

Graph f(x)=−1.5x+6.

Mathematics

1 answer:

LenaWriter [7]3 years ago

6 0

here (I need 20 characters in order to send this so don't mind this text)

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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

Ber [7]

Answer:

the sample size n= 771

sample proportion is p = 1/2

Step-by-step explanation:

Step1:-

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

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

on simplification , we get n= 777 polling agencies

Step 2:-

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

substitute values , we get

$\frac{36}{100} = \frac{2\sqrt{p(1-p)} }{\sqrt{771} }$

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 $(a-b)^{2} = a^{2} -2ab+b^{2}$

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

$(2p-1)^2 =0$

$p=\frac{1}{2}$

conclusion:-

The sample size is 771

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

4 0

3 years ago

If the perimeter of an equilateral triangle is 36 inches what is the perimeter of it’s image under a dilation with a scale facto

alexdok [17]

Answer:

The perimeter of the image is 144 inches

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its perimeters is equal to the scale factor

The perimeter of the image is equal to the perimeter of the pre-image multiplied by the scale factor

$36(4)=144\ inches$

6 0

3 years ago

Pls help me ima give you 30 points pls pls pls

Rasek [7]

Answer: the answer is D

Step-by-step explanation: You need to find the average per pound so 3.60/6 = 0.60 per pound for the 1st one 0.25 x 2 = 0.50 per pound for the 2nd one 3.00/4 = 0.75 per pound for the 3rd one and 0.49 per pound for the 4th one

5 0

2 years ago

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Hey hey last question tysmmm!

MrMuchimi

Answer:

it is a 25% decrease

Step-by-step explanation:

8 0

3 years ago

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What is half of 3672

tekilochka [14]

Half of 3672 is 1836

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3 years ago