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pav-90 [236]
3 years ago
9

All perfect squares are divisible by 2.

Mathematics
2 answers:
zhenek [66]3 years ago
7 0
D. False, counter example of 25.
The reason for that is because A is not true, B is not a counterexample, C is not a square, so D is the answer.
o-na [289]3 years ago
3 0

Answer:

the correct answer is C

Step-by-step explanation:

because the square root of 15 is 3.8 and 3.8 isnt divisible by 2

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Divide to find equivalent fractions 18/10=
____ [38]

Answer:

9/5

Step-by-step explanation

18 divided by 10 equals 1.8 and 1.8 is 9/5 in fraction form.

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hello fellow indians Question: Lawrence poured 27.328 L of water into a right rectangular prism- shaped tank. The base of the ta
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Answer: andres is 5 years old pls banned him he called e a mean word like the N word

Step-by-step explanation:

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2 years ago
Does a triangle add up to 180 or 360
ch4aika [34]
I'm pretty sure it depends what kind of triangle it is
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4 years ago
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The mayor of a town has proposed a plan for the construction of a new community. A political study took a sample of 800 voters i
Hunter-Best [27]

Answer:

A political strategist wants to test the claim that the percentage of residents who favor construction is more than  30%, so then that represent our claim and needs to be on the alternative hypothesis.

Based on this the correct system of hypothesis are:

Null hypothesis: p \leq 0.3

Alternative hypothesis p >0.3

Step-by-step explanation:

We have the following info given from the problem:

n= 800 the random sample of voters selected from the town

\hat p = 0.34 represent the proportion of residents favored construction

p_o = 0.30 represent the value desired to test.

A political strategist wants to test the claim that the percentage of residents who favor construction is more than  30%, so then that represent our claim and needs to be on the alternative hypothesis.

Based on this the correct system of hypothesis are:

Null hypothesis: p \leq 0.3

Alternative hypothesis p >0.3

And in order to test this hypothesis we can use a one sample z test for a population proportion and the statistic would be given by:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

And with the data given we have:

z=\frac{0.34 -0.3}{\sqrt{\frac{0.3(1-0.3)}{800}}}=2.469  

7 0
3 years ago
It is known that the population variance equals 484. With a .95 probability, the sample size that needs to be taken if the desir
Ksju [112]

Answer:

We need a sample size of at least 75.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.025 = 0.975, so z = 1.96

Now, we find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

The standard deviation is the square root of the variance. So:

\sigma = \sqrt{484} = 22

With a .95 probability, the sample size that needs to be taken if the desired margin of error is 5 or less is

We need a sample size of at least n, in which n is found when M = 5. So

M = z*\frac{\sigma}{\sqrt{n}}

5 = 1.96*\frac{22}{\sqrt{n}}

5\sqrt{n} = 43.12

\sqrt{n} = \frac{43.12}{5}

\sqrt{n} = 8.624

(\sqrt{n})^{2} = (8.624)^{2}

n = 74.4

We need a sample size of at least 75.

6 0
4 years ago
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