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xxTIMURxx [149]
3 years ago
6

Make n the subject of the formula M=7n

Mathematics
1 answer:
OLEGan [10]3 years ago
3 0

Answer:

<u>n = M/7</u>

Step-by-step explanation:

7n = M

(7)n = M

n = M/7

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The distribution of a sample of the outside diameters of PVC pipes approximates a normal distribution. The mean is 14.0 inches,
lakkis [162]

Answer:

A. 13.9 and 14.1 inches

See explanation below.

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the outside diameters of a population, and for this case we know the distribution for X is given by:

X \sim N(14,0.1)  

Where \mu=14 and \sigma=0.1

If we want the middle 68% of the data we need to have on the tails 16% on each one

For this part we want to find a value a, such that we satisfy this condition:

P(X>a)=0.84   (a)

P(X   (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.16 of the area on the left and 0.84 of the area on the right it's z=-0.994. On this case P(Z<-0.994)=0.16 and P(z>-0.994)=0.84

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

z=-0.994

And if we solve for a we got

a=14 -0.994*0.1=13.9

And since the distribution is symmetrical for the upper limit we can use z = 0.994 and we have:

z=0.994

And if we solve for a we got

a=14 +0.994*0.1=14.1

So the correct answer for this case would be:

A. 13.9 and 14.1 inches

3 0
3 years ago
The mk family ochard has 120 apple trees and 90 pear trees.if each fruit tree produces an average of 590 pounds of fruit per yea
denis-greek [22]
If there’s a total of 210 fruit trees, and each tree produces 590 pounds a year, you multiply both those numbers and get 123,900 pounds a year.
6 0
3 years ago
If Andrea makes $10 per hour and Cassidy makes eight dollars per hour how much more by percent does Andrea make than Cassidy per
Alexus [3.1K]
Hey there!


Andrea makes 20% more than Cassidy.

Work:

10 x 0.20 = 2

10 - 2 = 8


So that proves it is 20%.


Hope this helps!
5 0
2 years ago
Which expression is equivalent to 6 Superscript 4 times 6 cubed?
algol [13]

Answer:

(6x6x6x6)x(6x6)

Step-by-step explanation:

6 to the power of 4 times 6 to the power of 2

If a number a is to the power of b, that means a multiplied by itself, b times

eg 4 to the power of 3 means 4x4x4

hence, 6 to the power of 4 (or superscript four) means 6 itself, 4 times

so, 6x6x6x6 multiplied by 6x6

8 0
3 years ago
A manager finds a moderate negative correlation between the number of computer sales and the number of microwave sales in his st
BabaBlast [244]

Answer:

C) The correlation is most likely a coincidence.

Step-by-step explanation:

By general comprehension of the population and their buying habits, I don't think we can really establish a relation between the sales of computers and the microwaves in a general manner.  If the store is located near a university residence and it's September, there might be a link to be done, but in general, no.

It's not like some enters a store and says "Ok, will I buy a microwave or a computer today?".  Those are two totally different products, with different clienteles and different needs.

8 0
3 years ago
Read 2 more answers
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