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oksian1 [2.3K]
4 years ago
10

Line v passes through points (1, 17) and (9, 10). Line w is perpendicular to v. What is the slope of line w?

Mathematics
1 answer:
notka56 [123]4 years ago
5 0
To find the slope of line v, divide the change in y-values by the change in x-values:

17 - 10 / 1 - 9
7 / - 8

Slope of line v = -7/8

Now, slopes of perpendicular lines are negative reciprocals of each other, therefore:

The slope of line w = 8/7

Hope this helps.
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Solve for g.<br> 9 - g = 2g
svp [43]

Answer:

g=3

Step-by-step explanation:

9 - g = 2g

+g       +g

9=3g

divide both sides by 3

g=9

8 0
3 years ago
A new catalyst is being investigated for use in the production of a plastic chemical. Ten batches of the chemical are produced.
zzz [600]

Answer:

CI=(66.54,78.46)                                  

Step-by-step explanation:

Given : A new catalyst is being investigated for use in the production of a plastic chemical. Ten batches of the chemical are produced. The mean yield of the 10 batches is 72.5% and the standard deviation is 5.8%. Assume the yields are independent and approximately normally distributed.

To find : A 99% confidence interval for the mean yield when the new catalyst is used ?

Solution :

Let X be the yield of the batches.

We have given, n=10 , \bar{X}=72.5\% , s=5.8%

Since the size of the sample is small.

We will use the student's t statistic to construct a 995 confidence interval.

\bar X\pm t_{n-1,\frac{\alpha}{2}}\frac{s}{\sqrt n}

From the t-table with 9 degree of freedom for \frac{\alpha}{2}=0.005

t_{n-1,\frac{\alpha}{2}}=t_{9,0.005}

t_{n-1,\frac{\alpha}{2}}=3.250

The 99% confidence interval is given by,

CI=72.5 \pm 3.25\frac{5.8}{\sqrt{10}}

CI=72.5 \pm 5.96

CI=(72.5+5.96),(72.5-5.96)

CI=(66.54,78.46)

8 0
3 years ago
PLEASE HELP I DONT HAVE MUCH TIME
vaieri [72.5K]

Answer: Choice A.   1/64

Work Shown:

f(x) = 4^x

f(-3) = 4^(-3)

f(-3) = 1/(4^3) ... see note below

f(-3) = 1/64

Note: I'm using the rule that a^(-b) = 1/(a^b)

4 0
3 years ago
Read 2 more answers
Do not round intermediate calculations. round your answers to two decimal places. a. define a random variable number of times th
navik [9.2K]

Observations can you make from a comparison of the number of water supply stoppages reported by owner-occupied units versus renter-occupied units 1.

Total no. of times owner-occupied units had a water supply stoppage lasting 6 or more hours

547000 + 5012000 + 6110000 + 2544000 + 557000 = 14770000

x = no. of times owner-occupied units had a water supply stoppage.

<h3>What is the probability at x =0?</h3>

P(x=0) = 547000/14770000

P(x=0) = 0.0370

Similarly, we have at x=1

P(x=1) = 5012000/14770000

P(x=1) = 0.3393

P(x=2) = 6110000/14770000

P(x=2) = 0.4137

P(x=3) = 2544000/14770000

P(x=3) = 0.1722

P(x=4) = 557000/14770000

P(x=4) = 0.0378

x           f(x)

0             0.0370

1              0.3393

2         0.4137

3              0.1722

4         0.0378

Total     1

Observations can you make from a comparison of the number of water supply stoppages reported by owner-occupied units versus renter-occupied units 1.

To learn more about the probability distribution visit:

brainly.com/question/24756209

#SPJ1

7 0
2 years ago
What's a line segment ray in ur OWN words<br> If it's from Go.ogle ur answer will be deleted
kvasek [131]

Answer:

a line segment is an object with two endpoints , a ray is a  part of a line that has no fixed starting point

Step-by-step explanation:

4 0
3 years ago
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