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2 years ago

Help please............

Mathematics

1 answer:

lesantik [10]2 years ago

4 0

Lilla got 21/25 meaning she only missed 4 questions which means she got a 96/100. Tim scored 41/50 meaning he missed 9 questions meaning he got a 91/100 therefore being the reason Lilla got a higher score than Tim being that she has a 96 versus his 91. Hope that helps!!!

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g A researcher wants to construct a 95% confidence interval for the proportion of children aged 8-10 living in Atlanta who own a

Helga [31]

Answer:

The sample size needed is 2401.

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:

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

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 $Z = 1.96$ .

Estimate the sample size needed if no estimate of p is available so that the confidence interval will have a margin of error of 0.02.

We have to find n, for which M = 0.02.

There is no estimate of p available, so we use $\pi = 0.5$

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

$0.02 = 1.96\sqrt{\frac{0.5*0.5}{n}}$

$0.02\sqrt{n} = 1.96*0.5$

$\sqrt{n} = \frac{1.96*0.5}{0.02}$

$(\sqrt{n})^{2} = (\frac{1.96*0.5}{0.02})^{2}$

$n = 2401$

The sample size needed is 2401.

7 0

3 years ago

Read 2 more answers

How to know if the number is a perfect square

emmasim [6.3K]

Answer:

Step-by-step explanation:

Prime factorize the given number. All factors should have pair. If all factors have pair, then it is a perfect square

EG: 36 : Factors of 36 are 2,3,2,3. Here there are two 2's and two 3's. so 36 is a perfect square.

EG: 24: Factors of 12 are 2,2,3. Here 3 is without pair. so it is not a perfect square.

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3 years ago

Write the equation of the line perpendicular to the line x - 3y = 9 and passing through the point (3,5).

PilotLPTM [1.2K]

Here is a sample problem
has to be perpendicular to y=(4/9)*x-2 and pass through 4,3,

y-b=m(x-a)
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y-3=-9/4*(x-4)
y-3=-9/4x+9
y=-9/4x+9+3
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2 years ago

A rectangle has a length of x + 2, a width of 7, and a perimeter of 32. The value of x is ?

Anika [276]

X=16
Need an explanation?

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3 years ago

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The larger of two numbers is twice the smaller increased by five. Find the two numbers if three times the larger exceeds double

melomori [17]

Answer:

Larger number is 13 and Smaller number is 4.