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4 years ago

Is it true that a linear equation determines the xy-plane

Mathematics

2 answers:

anygoal [31]4 years ago

7 0

Answer:

Yep thats how it works!

Mars2501 [29]4 years ago

3 0

a linear equation determines a line in the xy plane

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Exhibit 9-2 The manager of a grocery store has taken a random sample of 100 customers. The average length of time it took the cu

Diano4ka-milaya [45]

Answer:

At a .05 level of significance, it can be concluded that the mean of the population is significantly more than 3 minutes.

Step-by-step explanation:

We want to test to determine whether or not the mean waiting time of all customers is significantly more than 3 minutes.

At the null hypothesis, we test if the mean is of at most 3 minutes, that is:

$H_0: \mu \leq 3$

At the alternative hypothesis, we test if the mean is of more than 3 minutes, that is:

$H_1: \mu > 3$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

3 is tested at the null hypothesis:

This means that $\mu = 3$

The manager of a grocery store has taken a random sample of 100 customers. The average length of time it took the customers in the sample to check out was 3.1 minutes. The population standard deviation is known to be 0.5 minute.

This means that $n = 100, X = 3.1, \sigma = 0.5$

Value of the test statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{3.1 - 3}{\frac{0.5}{\sqrt{100}}}$

$z = 2$

P-value of the test and decision:

The p-value of the test is the probability of finding a sample mean above 3.1, which is 1 subtracted by the p-value of z = 2.

Looking at the z-table, z = 2 has a p-value of 0.9772.

1 - 0.9772 = 0.0228

The p-value of the test is of 0.0228 < 0.05, meaning that the is significant evidence to conclude that the mean of the population is significantly more than 3 minutes.

6 0

3 years ago

Elisa had some candy to give to her four children. She first took ten pieces for herself and then evenly divided the rest among

zimovet [89]

She had 18 to start with because when you multiply 4 by 2 it’s 8, so then you add 8 to 10 which is 18.

3 0

3 years ago

Find the complement of an angle whose measure is 54 degrees.

Ugo [173]

I hope this helps you

180-54=126

6 0

4 years ago

Read 2 more answers

A man and a woman agree to meet at a certain location about 12:30 p.m. if the man arrives at a time uniformly distributed betwee

Svetllana [295]

We define the spaces of the man and the woman's independent arrivals.
In this case,
f(man) = 1 (45-15) = 1/30
f(woman)=1/(60-0)= 1/60
f(man)*f(woman) = 1/1800

Probability = P
P (man-woman)< 5 = 1/1800* integral of (y ) with limits of (x+5) and (x-5) from 45 to 15.
P (man-woman) <5 = 1/6

8 0

3 years ago

Let $PQR$ be a triangle such that $\angle P = \angle Q + \angle R.$ Among all three exterior angles of triangle $PQR,$ what is t

saw5 [17]

Answer:

The exterior angle to the vertex P, measuring 90°

Step-by-step explanation:

The sum of the internal angles of any triangle needs to be equal 180 degrees. So, we can write two equations:

mP = mQ + mR

mP + mQ + mR = 180°

Substituting (mQ + mR) by mP in the second equation, we have:

mP + mP = 180°

mP = 90°

this right angle is the bigger angle in the triangle, because the sum of all three angles needs to be 180°.

Each exterior angle is the supplementary angle of the respective internal angle, so the bigger the internal angle, the smaller the external angle.

So if the bigger internal angle is mP = 90°, the smaller exterior angle is 180 - 90 = 90°.

5 0

3 years ago