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3 years ago

Please help quickly!

Mathematics

1 answer:

steposvetlana [31]3 years ago

7 0

Answer:

The Correct option is A) 8

The value of a is 8.

Step-by-step explanation:

Vertical Angles:

The angles opposite each other when two lines cross.

They are always equal.

∠ 2(3a-7)° and ∠ (5a-6)° are vertical angles.Hence are equal.

So on Substituting we get

$2(3a-7)\°=(5a-6)\°$

Applying distributive property we get

$2\times 3a-2\times 7=5a-6\\6a-14=5a-6\\6a-5a=14-6\\\\\therefore a=8$

The value of a is 8

The Correct option is A) 8

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Fraction 2 1/3 ÷ 1/4

harkovskaia [24]

Answer:

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decimal form: 9.3 (repeating)

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Carly sold 18 rolls of rapping paper. thats 2 times as many rolls as jasmine sold. how many rolls did they sell althogether

Nastasia [14]

Carly sold 18, Jasmine sold half that. Half of 18 is 9. 9 + 18 = 27.

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3 years ago

In a college student poll, it is of interest to estimate the proportion p of students in favor of changing from a quarter-system

Contact [7]

Answer:

n=206

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})$

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by $\alpha=1-0.99=0.01$ and $\alpha/2 =0.005$ . And the critical value would be given by:

$t_{\alpha/2}=-2.58, t_{1-\alpha/2}=2.58$

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

And on this case we have that $ME =\pm 0.09$ , we can use as prior estimate of p 0.5, since we don't have any other info provided, and we are interested in order to find the value of n, if we solve n from equation (a) we got: