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gogolik [260]
3 years ago
9

What is the slope of a line perpendicular to the line whose equation is 3x-7y+14=0?

Mathematics
1 answer:
tatyana61 [14]3 years ago
7 0
1.  Find the slope of the given line.  Do this by solving <span>3x-7y+14=0 for m:

3x + 14 = 7y, which gives us m = 3/7.

2.  Find the slope of a line perpendicular to this one.  It's the negative reciprocal of m = 3/7, or -7/3.

</span>
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The manager of a grocery store has taken a random sample of 100 customers. The average length of time it took the customers in t
andreyandreev [35.5K]

Answer:

The test statistic is c. 2.00

The p-value is a. 0.0456

At the 5% level, you b. reject the null hypothesis

Step-by-step explanation:

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

This means that the mean and the alternate hypothesis are:

Null: H_{0} = 3

Alternate: H_{a} = 3

The test-statistic is given by:

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.

Sample of 100 customers.

This means that n = 100

3 tested at the null hypothesis

This means that \mu = 3

The average length of time it took the customers in the sample to check out was 3.1 minutes.

This means that X = 3.1

The population standard deviation is known at 0.5 minutes.

This means that \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

The test statistic is z = 2.

The p-value is

Mean different than 3, so the pvalue is 2 multiplied by 1 subtracted by the pvalue of Z when z = 2.

z = 2 has a pvalue of 0.9772

2*(1 - 0.9772) = 2*0.0228 = 0.0456

At the 5% level

0.0456 < 0.05, which means that the null hypothesis is rejected.

7 0
3 years ago
This probability distribution shows the typical distribution of the number of shoes in a teenager's closet. Using the distributi
mote1985 [20]

Answer:

70%

Step-by-step explanation:

Total number of teenagers surveyed

12+20+38+20+10 = 100

Find the number of teenagers with 3 or fewer pairs of shoes

12+20+38 =70

P(3 or fewer) = teenagers with 3 or fewer/ total

                       = 70/100

                       = 70%

5 0
2 years ago
Read 2 more answers
What scale factor was used when going from the grey triangle to the yellow triangle
sertanlavr [38]

Answer:

Scale factor of 1/3

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Find the principle fourth root of -81, checking your answer by raising to the 4th power. If there are "no real roots," then type
kondaur [170]

Answer:

None

Step-by-step explanation:

There are actually 2 answers, 3 and -3. Although if you put it in a calculator, it would show "math error" or undefined. That's because the index is even (4) and the radicand is negative (-81)

4 0
3 years ago
a school musical soild 353 tickets. $5 for adults and $3.50 for students. the school made $1500 how many adult tickets were sold
IrinaVladis [17]

Answer:

177 Students

176 Adults

Step-by-step explanation:

Adult - (A) $5

Student - (S) $3.50

Equation 1: A+S = 353 tickets

Equation 2: 5A + 3.50S = $1500

Sub equation 1 into 2:

5A + 3.50(353 - A) = 1500

Multiply: 5A + 1235.50 -3.50A =1500

Subtract 1235.50 and -3.50A from both sides: 1.50A = 264.50 and then divide:

264.50/1.50 = 176 Adults

Sub into equation 1:

176 +S = 353

Solve: 353 - 176 = 177 Students

Check: 5(176) + 3.50(177) = $1500

1499.5 rounded = 1500 = 1500 ✔

I hope this helped!

3 0
3 years ago
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