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Nookie1986 [14]
3 years ago
9

Please answer thank you​

Mathematics
1 answer:
uysha [10]3 years ago
8 0

9514 1404 393

Answer:

  AC = 20

Step-by-step explanation:

The triangles are all similar, so the ratios of side to hypotenuse are the same:

  5/10 = 10/x

  x = 20 . . . . . . multiply by 2x

The length of AC is 20.

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Scores on an english test are normally distributed with a mean of 31.5 and a standard deviation of 7.3. find the score that sepa
kobusy [5.1K]

Let X be the score on an english test which is normally distributed with mean of 31.5 and standard deviation of 7.3

μ = 31.5 and σ =7.3

Here we have to find score that separates the top 59% from the bottom 41%

So basically we have to find here x value such that area above it is 59% and below it is 49%

This is same as finding z score such that probability below z score is 0.49 and above probability is 0.59

P(Z < z) = 0.49

Using excel function to find the z score for probability 0.49 we get

z = NORM.S.INV(0.49)

z = -0.025

It means for z score -0.025 area below it is 41% and above it is 59%

Now we will convert this z score into x value using given mean and standard deviation

x = (z* standard deviation) + mean

x = (-0.025 * 7.3) + 31.5

x = 31.6825 ~ 31.68

The score that separates the top 59% from the bottom 41% is 31.68

3 0
3 years ago
What is the value of x in the equation <img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B5%7Dx%20-%5Cfrac%7B2%7D%7B3%7D" id="Te
SVEN [57.7K]

Answer:

x= 200

Step-by-step explanation:

The given equation is:

1/5 x - 2/3 y = 30

The value of y is 15

Put the value of y in the given equation:

1/5 x - 2/3(15) = 30

1/5 x- 10 = 30

Take the L.C.M of the denominator

x-50/5 = 30

Move the denominator to the R.H.S

x-50 = 30*5

x-50 = 150

Combine the like terms

x= 150+50

x = 200

The value of x is 200...

5 0
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Step-by-step explanation:

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Gennadij [26K]

Answer:

I feel that the answer is false.

Step-by-step explanation:

7 0
3 years ago
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I’ll give extra points!!
Svetach [21]
Answer:
10

Explanation:
The two shortest sides = the longest side
So I’m this case, the two shortest sides are 7 and 3, which are shown.
Then add:
7 + 3 = 10
6 0
3 years ago
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