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saveliy_v [14]
3 years ago
10

Write an equation that is parallel to y = -4x - 1 and passes through (-2 , 4)

Mathematics
1 answer:
klio [65]3 years ago
8 0
Y = -4x + 4

In order for a function to be parallel to another, they must have the same slope but different intercepts (or else they'd be the same line).
This equation has the same slope and the same intercept, so it is parallel.

Hope this helps!
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A production process is checked periodically by a quality control inspector. the inspector selects simple random samples of 30 f
777dan777 [17]

Answer:

Population Mean = 2.0

Population Standard deviation = 0.03

Step-by-step explanation:

We are given that the inspector selects simple random samples of 30 finished products and computes the sample mean product weight.

Also, test results over a long period of time show that 5% of the values are over 2.1 pounds and 5% are under 1.9 pounds.

Now, mean of the population is given the average of two extreme boundaries because mean lies exactly in the middle of the distribution.

So,   Mean, \mu = \frac{1.9+2.1}{2} = 2.0

Therefore, mean for the population of products produced with this process is 2.

Since, we are given that 5% of the values are under 1.9 pounds so we will calculate the z score value corresponding to a probability of 5% i.e.

             z = -1.6449 {from z % table}

We know that z formula is given by ;  

                Z = \frac{Xbar - \mu}{\frac{\sigma}{\sqrt{n} } } ~ N(0,1)

              -1.6449 = \frac{1.9 - 2.0}{\frac{\sigma}{\sqrt{n} } }     ⇒  \frac{\sigma}{\sqrt{n} }  = \frac{-0.1}{-1.6449}  

                                           ⇒ \sigma = 0.0608 * \sqrt{30}  {as sample size is given 30}

                                           ⇒ \sigma = 0.03 .

Therefore, Standard deviation for the population of products produced with this process is 0.0333.

7 0
3 years ago
3-4z = -5+8z Can someone help?
noname [10]
3-4z=-5+8z

Add 5 to both sides

8-4z=8z

Add 4z to both sides

8=12z

Divide both sides by 12

z=12/8

Simplify

z=3/2
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PLZ HELP ASAP WILL GIVE BRAINLIEST!!!!!!!!
docker41 [41]
I think it's different by
Group 2 has a 1 yet group 2 didn't sorry if wrong
8 0
2 years ago
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