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earnstyle [38]
3 years ago
8

I need lots of help on slope! Find the slope and the y-intercept of the line

Mathematics
2 answers:
Slav-nsk [51]3 years ago
6 0

Answer:

Slope:6x

Y-intercept:-9


Step-by-step explanation:

first you move -6x to the other side so it can be 3y=6x-9

now you can refer to y=mx+b , mx is the slope and b is the y-intercept!

Sergeu [11.5K]3 years ago
5 0

Slope formula states that y = mx + b where m is the slope, x is the variable and b is the y intercept

Rearrange the equation to look like the slope formula

-6x + 3y = -9 - - - - - 3y = 6x - 9 -  -      y = 6x/3 -9/3

Answer is   <u><em>y = 6x/3 -9/3</em></u>

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Using traditional methods it takes 92 hours to receive an advanced flying license. A new training technique using Computer Aided
DanielleElmas [232]

Answer:

The value of the test statistic is z = 1.39.

The p-value of the test is 0.0823 > 0.05, which means that there is not evidence at the 0.05 level that the technique lengthens the training time.

Step-by-step explanation:

Using traditional methods it takes 92 hours to receive an advanced flying license.

This means that at the null hypothesis, it is tested if the mean is of 92, that is:

H_0: \mu = 92

Test if there is evidence that the technique lengthens the training time

At the alternative hypothesis, it is tested if the mean is more than 92, that is:

H_1: \mu > 92

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.

92 is tested at the null hypothesis:

This means that \mu = 92

A researcher used the technique on 70 students and observed that they had a mean of 93 hours. Assume the population variance is known to be 36.

This means that n = 70, X = 93, \sigma = \sqrt{36} = 6

Value of the test statistic:

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

z = \frac{93 - 92}{\frac{6}{\sqrt{70}}}

z = 1.39

The value of the test statistic is z = 1.39.

P-value of the test and decision:

The p-value of the test is the probability of finding a sample mean above 93, which is 1 subtracted by the p-value of z = 1.39.

Looking at the z-table, z = 1.39 has a p-value of 0.9177.

1 - 0.9177 = 0.0823.

The p-value of the test is 0.0823 > 0.05, which means that there is not evidence at the 0.05 level that the technique lengthens the training time.

8 0
3 years ago
Adam’s sister wants to watch her intake of fat per day. He estimates that the dinner will have 48 grams of fat. What percentage
navik [9.2K]
First things to take note of to have the correct answer: 
1. Adam's sister is obviously a girl. Then when looking at the data we look at the "Women" column. 
2. We are only looking at the fats data. 

We are asked for the percentage given 48 grams of fat and the daily allowance on fat for women is 70 g. To solve we perform the operation: 

% =  \frac{70-48}{70} * 100 = 31.42% ≈ 31%
3 0
3 years ago
There were 700 people in the auditorium. 60% of them were adults and the rest were children. how many adults were in the auditor
ollegr [7]

.60 \times 700 = 420 \\ 700 - 420 = 280
First I found the number of adults by multiplying .60 by 700. It was 420. From there all I had to do was subtract it from 700. Revealing the number of children to be 280.
5 0
3 years ago
There are 9 red and 6 green marbles in a bag
bagirrra123 [75]

Answer:

there are 15 marbles in the bag

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
What is the gcf of 42 and 10
kolbaska11 [484]

Answer:

2

Step-by-step explanation:

Make a list

10: 1, <u>2, </u>5, 10

42: 1,<u> 2,</u> 3, 6, 7, 14, 21

6 0
3 years ago
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