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3 years ago

Let X be a normal random variable with mean 40 and standard deviation 2. Find P(X < 28).

Mathematics

1 answer:

Vikki [24]3 years ago

5 0

Answer:

Step-by-step explanation:

Given :

Mean = 40 ; Standard deviation = 2

P(x < 28)

Obtain the Zscore :

Z = (x - mean) / standard deviation

P(Z < (28 - 40) / 2))

Z = (28 - 40) / 2

Z = - 12 / 2

Z = - 6

P(Z < - 6) = 0.000000

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A bank loaned out 17000 part of it at the rate of 7% per year and the rest 15% per year. If the interest received in one year to

pogonyaev

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3 years ago

in the ambrose family the ages of the three children are three consecutive even integers . if the age of the youngest child is r

klemol [59]

The ages are consecutive even numbers.
The youngest child is (x+3) years old.
Every even number is 2 more than the one before it.
So the three ages are

 (x + 3), (x + 5), and (x + 7).

Their sum is x+3 + x+5 + x+7 = 3x + 15

But we're told that their sum is 42, so we can write

 3x + 15 = 42 <== the equation

Subtract 15 from each side: 3x = 27

Divide each side by 3 : x = 9 <== the solution

So the three ages are 12, 14, and 16.

The oldest child is 16 years old.

3 0

3 years ago

Find the Value of PT. PT=4x-6 and TQ=3x+4

barxatty [35]

We can find the value of PT from given information
PT = 4x - 6 and TQ = 3x + 4
if PT = TQ
4x - 6 = 3x + 4
4x - 3x = 4 + 6
x = 10
now put the value of x into PT = 4x - 6
PT = 4 (10) - 6
=40 - 6
PT = 34
The value of PT = 34

4 0

3 years ago

Find the equation (in terms of x) of the line through the points (-2,1) and (3,5)

masha68 [24]

9514 1404 393

Answer:

y = 4/5x +13/5

Step-by-step explanation:

The slope is given by the formula ...

m = (y2 -y1)/(x2 -x1)

m = (5 -1)/(3 -(-2)) = 4/5

The y-intercept is given by the formula ...

b = y -mx . . . . for any point (x, y)

b = 1 -(4/5)(-2) = 1 +8/5 = 13/5 . . . . using the first point

So, the equation is ...

y = mx +b

y = 4/5x +13/5

_____

Additional comment

If you have a bunch of these to do, you may want to make a spreadsheet with the formulas built in. Then you can type in the two points and have it spit out the m and b for your equation. Even if you don't use it to do the work, you can use it to check the work.

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3 years ago

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Anni [7]

Step-by-step explanation:

it is 6 and 7 so that's because Tom Holland is baby daddy

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2 years ago

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