Which angles are complementary to each other, will give brainliest

A manufacturer of running shoes knows that the average lifetime for a particular model of shoes is 15 months. Someone in the res

Alexus [3.1K]

Answer:

Step-by-step explanation:

Hello!

So you have a new type of shoe that lasts presumably longer than the ones that are on the market. So your study variable is:

X: "Lifetime of one shoe pair of the new model"

Applying CLT:

X[bar]≈N(μ;σ²/n)

Known values:

n= 30 shoe pairs

x[bar]: 17 months

S= 5.5 months

Since you have to prove whether the new shoes last more or less than the old ones your statistical hypothesis are:

H₀:μ=15

H₁:μ≠15

The significance level for the test is given: α: 0.05

Your critical region will be two-tailed:

$Z_{\alpha /2} = Z_{0.025}= -1.96$

$Z_{1-\alpha /2} = Z_{0.975}= 1.96$

So you'll reject the null Hypothesis if your calculated value is ≤-1.96 or if it is ≥1.96

Now you calculate your observed Z-value

Z=<u>x[bar]-μ</u> ⇒ Z=<u> 17-15 </u> = 1.99

σ/√n 5.5/√30

Since this value is greater than the right critical value, i.e. Zobs(1.99)>1.96 you reject the null Hypothesis. So the average durability of the new shoe model is different than 15 months.

I hope you have a SUPER day!

5 0

3 years ago

Find the equation of the line, in point-slope form then slope-intercept form, that

AleksandrR [38]

Answer:

Point slope: y+4=4(x-3)

Slope-intercept: y=4x-16

Step-by-step explanation:

1. Use the slope formula to find the slope.

y2-y1/x2-x1

8--4/6-3 = 12/3

Slope is 4

2. Use the slope and one of the coordinates to put the equation in point-slope form.

Point slope form: y-y1=m(x-x1)

y+4=4(x-3)

3. Distribute and simplify to put it in slope-intercept form.

y+4=4x-12

y=4x-16

8 0

2 years ago

Results of a poll stated that 40% of U.S. adults identify as Republican, and you want to test the claim at alpha = 0.05. What le

Nookie1986 [14]

Answer:

The confidence level is 95% or 0.95.

Step-by-step explanation:

Consider the provided information.

Results of a poll stated that 40% of U.S.

If you want to test the claim at alpha = 0.05.

As we know:

Confidence level = 1 - significance level ( $\alpha$ )

Confidence level = $1 - 0.05$

Confidence level = $0.95$

Therefore, the confidence level is 95% or 0.95.

4 0

3 years ago

What is the measure of angle B in degrees

Hunter-Best [27]

Angle C and the 112 degree angle are supplementary, so angle C measures 180-112=68 degrees.

This means that by the exterior angle theorem, $m\angle B=51^{\circ}+68^{\circ}=\boxed{119^{\circ}}$

8 0

1 year ago

Based on a poll, among adults who regret getting tattoos, 16% say that they were too young when they got their tattoos. Assum

e-lub [12.9K]

Answer:

The problem is incomplete, but it is solved using a binomial distribution with $n = 8$ and $p = 0.16$

Step-by-step explanation:

For each adult who regret getting tattoos, there are only two possible outcomes. Either they say that they were too young, or they do not say this. The answer of an adult is independent of other adults, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$