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2 years ago

I need help with this question asap!

Mathematics

1 answer:

Tpy6a [65]2 years ago

7 0

Answer:

x=15

Step-by-step explanation:

This is an equilateral triangle. That means all sides are equal and all angles are equal

An equilateral triangle has angle measurements of 60 degrees

60 =4x

Divide each side by 4

60/4 = 4x/4

15 =x

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A study found that, in 2005, 12.5% of U.S. workers belonged to unions (The Wall Street Journal, January 21, 2006). Suppose a sam

Julli [10]

Answer:

There is not enough evidence to support the claim that union membership increased.

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 400

p = 12.5% = 0.125

Alpha, α = 0.05

Number of women belonging to union , x = 52

First, we design the null and the alternate hypothesis

$H_{0}: p = 0.125\\H_A: p > 0.125$

The null hypothesis sates that 12.5% of U.S. workers belong to union and the alternate hypothesis states that there is a increase in union membership.

This is a one-tailed(right) test.

Formula:

$\hat{p} = \dfrac{x}{n} = \dfrac{52}{400} = 0.13$

$z = \dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}$

Putting the values, we get,

$z = \displaystyle\frac{0.13-0.125}{\sqrt{\frac{0.125(1-0.125)}{400}}} = 0.3023$

Now, we calculate the p-value from the table.

P-value = 0.3812

Since the p-value is greater than the significance level, we fail to reject the null hypothesis and accept the null hypothesis.

Conclusion:

Thus, there is not enough evidence to support the claim that union membership increased.

8 0

2 years ago

PLEASE HELP ASAP ILL GIVE BRAINLIEST!!!!!<br><br>find measure of arc MK

Gwar [14]

Answer:

Arc length MK = 15.45 units (nearest hundredth)

Arc measure = 58.24°

Step-by-step explanation:

Calculate the measure of the angle KLN (as this equals m∠KLM which is the measure of arc MK)

ΔKNL is a right triangle, so we can use the cos trig ratio to find ∠KLM:

$\sf \cos(\theta)=\dfrac{A}{H}$

where:

$\theta$ is the angle
A is the side adjacent the angle
H is the hypotenuse (the side opposite the right angle)

Given:

$\theta$ = ∠KLM
A = LN = 8
H = KL = 15.2

$\implies \sf \cos(KLM)=\dfrac{8}{15.2}$

$\implies \sf \angle KLM=\cos^{-1}\left(\dfrac{8}{15.2}\right)$

$\implies \sf \angle KLM=58.24313614^{\circ}$

Therefore, the measure of arc MK = 58.24° (nearest hundredth)

$\textsf{Arc length}=2 \pi r\left(\dfrac{\theta}{360^{\circ}}\right) \quad \textsf{(where r is the radius and}\:\theta\:{\textsf{is the angle)}$

Given:

r = 15.2
∠KLM = 58.24313614°

$\implies \textsf{Arc length MK}=2 \pi (15.2)\left(\dfrac{\sf \angle KLM}{360^{\circ}}\right)$

$\implies \textsf{Arc length MK}=\sf 15.45132428\:units$

6 0

1 year ago

3+11x9-9x11 what is the answer

Rom4ik [11]

Your answer would be 3

8 0

2 years ago

Read 2 more answers

Solve this question. a/7-3<0

valkas [14]

Answer:

$\boxed{\sf{a$

Step-by-step explanation:

You only need to isolate the term a to solve this problem.

Add by 3 from both sides.

$\sf{\dfrac{a}{7}-3+3$

Solve.

0+3=3

a/7<3

Multiply by 7 from both sides.

$\sf{\dfrac{7a}{7}$

Solve.

3*7=21

As a result, the solution is a<21, which is our answer.

7 0

2 years ago

Numbers like 10 100 thousand and so on are called what

ohaa [14]

They are called powers of 10.

6 0

2 years ago

Read 2 more answers