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Scorpion4ik [409]
3 years ago
11

Find the Mean Absolute Deviation. 12 5 7 8 15 15 2 8

Mathematics
1 answer:
patriot [66]3 years ago
8 0
The mean would be 7 I think I am not sure
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The weight of people in a small town in Missouri is known to be normally distributed with a mean of 186 pounds and a standard de
OleMash [197]

Answer:

the probability that a random sample of 17 persons will exceed the weight limit of 3,417 pounds is 0.0166

Step-by-step explanation:

The summary of the given statistical data set are:

Sample Mean = 186

Standard deviation = 29

Maximum capacity 3,417 pounds or 17 persons.

sample size = 17

population mean =3417

The objective is to determine the probability  that a random sample of 17 persons will exceed the weight limit of 3,417 pounds

In order to do that;

Let assume X to be the random variable that follows the normal distribution;

where;

Mean \mu = 186 × 17 = 3162

Standard deviation = 29* \sqrt{17}

Standard deviation = 119.57

P(X>3417) = P(\dfrac{X - \mu}{\sigma}>\dfrac{X - \mu}{\sigma})

P(X>3417) = P(\dfrac{3417 - \mu}{\sigma}>\dfrac{3417 - 3162}{119.57})

P(X>3417) = P(Z>\dfrac{255}{119.57})

P(X>3417) = P(Z>2.133)

P(X>3417) =1- 0.9834

P(X>3417) =0.0166

Therefore; the probability that a random sample of 17 persons will exceed the weight limit of 3,417 pounds is 0.0166

5 0
3 years ago
I am having trouble understanding the concept of completing the square in math. Could someone please assist me on how to do so?
enyata [817]
"Completing the square" is the process used to derive the quadratic  formula for the general quadratic ax^2+bx+c=0.  Suppose you did not know the value of a,b, or c of the quadratic...

ax^2+bx+c=0  You need a leading coefficient of one for the process to work, so you divide the whole equation by a

x^2+bx/a+c/a=0  now you move the constant to the other side of the equation

x^2+bx/a=-c/a  now you halve the linear coefficient, square that, then add that value to both sides, ie, (b/(2a))^2=b^2/(4a^2)...

x^2+bx/a+b^2/(4a^2)=b^2/(4a^2)-c/a  now the left side is a perfect square...

(x+b/(2a))^2=(b^2-4ac)/(4a^2)  now take the square root of both sides

x+b/(2a)=±√(b^2-4ac)/(2a)  now subtract b/(2a) from both sides

x=(-b±√(b^2-4ac))/(2a)

It is actually much simpler keeping track of everything when using known values for a,b, and c, but the above explains the actual process used to create the quadratic formula, which the above solution is. :)
8 0
3 years ago
Read 2 more answers
Volume Round Robin Review
KIM [24]

Answer:

8 inches

Step-by-step explanation:

Height = Volume / Base Area = 301.44 / 37.68 = 8

8 0
3 years ago
7/10 times y minus 3/10 when y equals 1/7
Oduvanchick [21]

Answer:

Exact form : - 1/5

Decimal form : -0.2

Step-by-step explanation: Substitute the value of the variable into the equation and then simplify.

Hope this helps you out. If not, comment and let me know. Good luck, mate! ☺

-Leif the Insane Puppy Loving Weirdo-

3 0
3 years ago
Triangle ABC is similar to triangle WYZ.
11Alexandr11 [23.1K]
I think true I am not sure
6 0
3 years ago
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