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UNO [17]
3 years ago
10

Find the slope between the points (-3, -2) and (5, 4) (type in integer or reduced fraction you found only)

Mathematics
1 answer:
DiKsa [7]3 years ago
4 0

Answer:

The slope is: \frac{3}{4}

Step-by-step explanation:

The equation for slope is:

m=\frac{y_{2}- y_{1} }{x_{2} -x_{1} }

Point 1: -3=x_{1}, -2=y_{1}

Point 2: 5=x_{2}, 4=y_{2}

4-(-2)=6

5- (-3)=8

6/8=3/4

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In a random sample of 26 residents of the state of Montana, the mean waste recycled per person per day was 2.8 pounds with a sta
Rainbow [258]

Answer:

The critical value that should be used in constructing the confidence interval is T = 1.316.

The 80% confidence interval for the mean waste recycled per person per day for the population of Montana is between 2.741 pounds and 2.859 pounds.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 26 - 1 = 25

80% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 25 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.8}{2} = 0.9. So we have T = 1.316

The critical value that should be used in constructing the confidence interval is T = 1.316.

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 1.316\frac{0.23}{\sqrt{26}} = 0.059

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 2.8 - 0.059 = 2.741 pounds

The upper end of the interval is the sample mean added to M. So it is 2.8 + 0.059 = 2.859 pounds.

The 80% confidence interval for the mean waste recycled per person per day for the population of Montana is between 2.741 pounds and 2.859 pounds.

4 0
2 years ago
Y=2/7 -7 y=-x+2 What is the solution for this system of equations?​
bulgar [2K]

Answer:

(61/7, -47/7)

Step-by-step explanation:

Given: y=2/7 -7

           y=-x+2

Rewrite the top equation ( y=2/7 -7

y = -47/7

y = -x + 2

Because both equations are equal to y, we can rewrite it again.

-47/7 = -x + 2

Add x to both sides

x + (-47/7) = 2

Add 47/7 to both sides.

x = 47/7 + 2/1

x = 61/7

As stated in the beginning, y is equal to -47/7

Hope you understand!

5 0
2 years ago
21. what are the excluded values of the function? y= 5/6x-72
tatiyna

you have to calculate the SID number and then take it upon yourself and divided X it's actual number and then there's a chance and the answer would be c.72

4 0
3 years ago
Simplify only do not solve, 7(e-8)+12-2e
Liula [17]
5e-44
Hope this helped! 
7 0
2 years ago
Read 2 more answers
Emma is building a wall around her garden. It has taken 45 minutes,and she is 75% done. What is the total time it will take Emma
Morgarella [4.7K]
Hey there,
It take 45 min to complete 75% of the wall
1% = 45 / 75
      = 0.6
100 % = 0.6 x 100
           = 60 min
It takes her 60 mins or 1 hour to finish building the wall.

Hope this helps :))

~Top♥
5 0
2 years ago
Read 2 more answers
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