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3 years ago

Which pair of equations represents perpendicular lines?

Mathematics

1 answer:

Kaylis [27]3 years ago

8 0

Your answer for this is the third one or C.

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A salesperson receives a 16.1% commission on her sales. If her total sales for the month are $4200, what is her commission? If s

telo118 [61]

Answer:

676.2$

Step-by-step explanation:

4200 x 16.1% = 676.2$

3 0

3 years ago

Show a pikcher of a 180 digris spin

frozen [14]

*Picture Belle come on princess
If I'm facing < way and turn to face > way, that's 180 degrees

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3 years ago

Rose walks 2 2/3 km in three-fifths of an hour. If her speed remains unchanged, how many kilometres can she walk in one and thre

Artyom0805 [142]

Answer:

Distance = 7 7/9 Km

Step-by-step explanation:

Given the following data;

Distance = 2⅔ = 8/3 Km

Time = ⅗ hour

First of all, we would find her speed;

Speed = distance/time

Speed = (8/3)/(3/5)

Speed = 8/3 * 5/3

Speed = 40/9 km/h

Next, we would find the distance covered when time = 1¾ hours

Distance = speed * time

Distance = 40/9 * 1¾

Distance = 40/9 * 7/4

Distance = 10/9 * 7

Distance = 70/9

Distance = 7 7/9 Km

5 0

3 years ago

A triangle has an angle that measures 50°. The other two angles are in a ratio of 5:8. What are the measures of those two angles

Brut [27]

Answer:

Step-by-step explanation:

sum of angle of triangle is 180 degree

5x+8x+50degree =180 degree

13x= 180-50

13x= 130

x= 130/13

x=10

5x= 5*10=50degree

8x= 8*10 =80degree

4 0

4 years ago

Exhibit 11-10 n = 81 s2 = 625 H0: Ïƒ2 = 500 Ha: Ïƒ2 â‰ 500 The test statistic for this problem equals _____.

givi [52]

Answer:

$\chi^2 =\frac{81-1}{500} 625 =100$

c. 100

Step-by-step explanation:

Notation and previous concepts

A chi-square test is "used to test if the variance of a population is equal to a specified value. This test can be either a two-sided test or a one-sided test. The two-sided version tests against the alternative that the true variance is either less than or greater than the specified value"

$n=81$ represent the sample size

$\alpha$ represent the confidence level

$s^2 =625$ represent the sample variance obtained

$\sigma^2_0 =500$ represent the value that we want to test

Null and alternative hypothesis

On this case we want to check if the population variance specification is violated, so the system of hypothesis would be:

Null Hypothesis: $\sigma^2 = 500$

Alternative hypothesis: $\sigma^2 \neq 500$

Calculate the statistic

For this test we can use the following statistic:

$\chi^2 =\frac{n-1}{\sigma^2_0} s^2$

And this statistic is distributed chi square with n-1 degrees of freedom. We have eveything to replace.

$\chi^2 =\frac{81-1}{500} 625 =100$

c. 100

Calculate the p value

In order to calculate the p value we need to have in count the degrees of freedom , on this case 80. And since is a right tailed test the p value would be given by:

$p_v =2*P(\chi^2 >100)=0.129$

In order to find the p value we can use the following code in excel:

"=2*(1-CHISQ.DIST(100,80,TRUE))"

4 0

3 years ago