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3 years ago

The polygons below are similar. Find the value of x.

Mathematics

1 answer:

noname [10]3 years ago

3 0

Th answer is 16. Since sides BC and FG are the only ones given, you write it as 6/8 = 12/x. Cross multiply to get 6x and 96. Divide 96 by 6 to get 16

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A researcher wants to find out if there is a significant difference between men and women in the average number of tattoos that

kifflom [539]

Answer:

The correct option is (A).

Step-by-step explanation:

The p-value is well-defined as per the probability, [under the null-hypothesis (H₀)], of attaining a result equivalent to or more extreme than what was the truly observed value of the test statistic.

A small p-value (typically p < 0.05) specifies strong evidence against the null hypothesis (H₀), so the null hypothesis is rejected. A p-value less than 0.05 is considered as statistically significant.

A large p-value (p > 0.05) specifies fragile proof against the H₀, so the null hypothesis is failed to be rejected.

In this case the <em>p</em>-value of the test is,

<em>p</em>-value = 0.003

And the significance level of the test was,

<em>α</em> = 0.05.

p-value = 0.003 < <em>α</em> = 0.05.

The p-value less than the significance level of the test.

Thus, the results are statistically significant.

The correct option is (A).

8 0

3 years ago

A manufacturer of new light bulbs claims the average lifetime of its long-life bulb is more than 4000 hours. To test this claim,

natka813 [3]

Answer: C. 12.5

Step-by-step explanation:

Given : A manufacturer of new light bulbs claims the average lifetime of its long-life bulb is more than 4000 hours.

Population mean : $\mu=4000$

Sample size : n= 100

Sample mean : $\overline[x}=4500$

Standard deviation: $s=400$

The value of test-statistic is given by :-

$z=\dfrac{\overline{x}-\mu}{\dfrac{s}{\sqrt{n}}}\\\\\Rightarrow\ z=\dfrac{4500-4000}{\dfrac{400}{\sqrt{100}}}\\\\\Rightarrow\ z= 12.5$

Hence, the value of the test statistic for this problem is 12.5.

5 0

3 years ago

How do I solve this?

Olin [163]

Well if it is 1 inch per 100 feet, then we already know that 600 feet is 6 inches on the map. Now the 4 is where it gets trickier. Since it's dividing it by 100 each time, you take 4 and divide it by 100 which is 0.04. Therefore, your answer is 6.04 inches on the map.

6 0

3 years ago

Are the answers correct or am I missing some?

AlekseyPX

Well,

Emily received $40.00 and then withdrew $40.00. The final amount would be zero.

Jacoby climbed 782 feet to get to his campsite, and then descended 782 feet to get back to his car. His final change is zero.

The Eagles mad two points, but then the Bulldogs evened it out with another two points. The difference between the two scores would be the same.

Marcus ends up going down more than he goes up, so this is not a correct option.

The Ravens scored two points, but at the end the Raiders scored an additional 5 points, which set both teams to the same score.

Since there are an equal number of protons and electrons, and the protons have the same (but opposite) amount of charge as the electrons, the charges cancel each other out, leaving the atom with a neutral overall charge (0).

8 0

3 years ago

The number of rows in an auditorium can be represented by the function f(x) = 80x. the number of seats in each row can be repres

Dominik [7]

Applying multiplication of functions, the total number of seats in the auditorium is given by:

h(x) = 80x² + 560x.

<h3>How polynomial functions are multiplied?</h3>

They are multiplied applying the distributive property, that is, all the terms are multiplied and then the common terms are added.

In this problem, the functions are given as follows:

f(x) = 80x.

g(x) = x + 7.

Then the multiplication is:

h(x) = f(x)g(x) = 80x(x + 7) = 80x² + 560x.

More can be learned about multiplication of functions at brainly.com/question/13136492

#SPJ1

4 0

2 years ago