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Minchanka [31]
3 years ago
6

The perimeter of this shape is 29 cm. What the value of x?

Mathematics
1 answer:
lesya692 [45]3 years ago
4 0

Answer:

X=7

Step-by-step explanation:

So first add them all up

x-2+2x+x+3=4x+1

4x+1=29

4x=28

x=7

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The size of Angle L should be the same as Angle C if the triangles are congruent (or at least similar) Since Angle C = 69o, then Angle L also = 69o. You should be very careful in accepting this assumption because looks can deceive. However if the assumption of congruency is not true, there is no way to solve the problem. L = 69o.

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dangina [55]

Answer:

87,025

Step-by-step explanation:

17550-20525. just subtract

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3 years ago
A mayoral candidate in a large metropolitan area has hired you to take a poll to determine the proportion of registered voters w
sveticcg [70]

Answer:

The smallest sample size that will produce an interval with these specifications is 601.

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.

He would like you to report a 95% confidence interval with a margin of error no more than 0.04. What is the smallest sample size that will produce an interval with these specifications?

We have to find n for which M = 0.04.

We dont know the true proportion, so we use \pi = 0.5, which is when the smallest sample size needed will have it's largest value.

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

0.04 = 1.96\sqrt{\frac{0.5*0.5}{n}}

0.04\sqrt{n} = 1.96*0.5

\sqrt{n} = \frac{1.96*0.5}{0.04}

(\sqrt{n})^2 = (\frac{1.96*0.5}{0.04})^2

n = 600.25

Rounding up

The smallest sample size that will produce an interval with these specifications is 601.

6 0
3 years ago
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