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garri49 [273]
3 years ago
11

SAT scores are normally distributed, with a mean of 500 points and a standard deviation of 100 points. Suppose you take the SAT.

Several weeks later, you receive your results, which show that you reached the 80th percentile for the math portion.
Recalling that SAT scores are always expressed as multiples of 10, how many points did you get on the test?
Mathematics
2 answers:
Bad White [126]3 years ago
7 0

Answer:

580

Step-by-step explanation:

Apex

OleMash [197]3 years ago
3 0
The solution to the problem is as follows:

 <span>Let be X: scores of SAT 

P(X ≥ x) = 0.9 

P((X - 500)/100 ≥ (x - 500)/100) = 0.9 

P(Z ≥ z) = 0.9 

z = 1.28 

1.28 = (x - 500)/100 

128 + 500 = x 

x = 628
</span>
I hope my answer has come to your help. God bless and have a nice day ahead!
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kolbaska11 [484]

Answer:

3,726\ m^{2}

Step-by-step explanation:

step 1

Find the scale factor

we know that

If two figures are similar, then the ratio of its corresponding sides is equal to the scale factor

Let

z----> the scale factor

x----> corresponding side of the larger trapezoid

y----> corresponding side of the smaller trapezoid

z=\frac{x}{y}

we have

x=64\ m

y=12\ m

substitute

z=\frac{64}{12}

step 2

Find the area of the larger trapezoid

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z----> the scale factor

x----> area of the larger trapezoid

y----> area of the smaller trapezoid

z^{2}=\frac{x}{y}

we have

z=\frac{64}{12}

y=131\ m^{2}

substitute

(\frac{64}{12})^{2}=\frac{x}{131}

x=(\frac{4,096}{144})(131)

x=3,726\ m^{2}

5 0
3 years ago
PART A. A fruit juice recipe uses three ingredients. Two of the ingredients use a ratio of 2 ounces of pineapple juice to 5 ounc
Rashid [163]

Answer:

(B) The equation of line is 5 X = 2 Y.

Step-by-step explanation:

2 ounces of pineapple juice

5 ounces of fruit punch

Other is 4 ounces pineapple juice and 10 ounces fruit punch

(A) Graph is shown below:

(B) Let X is the pineapple juice and Y is the fruit punch

(2, 5)  and (4, 10)

So, the equation of line is

Y - 5 = \frac{10-5}{4-2}\times (x -2)\\\\Y-5=2.5 (X-2)\\\\Y - 5 = 2.5 X - 5 \\\\2.5 X = Y\\\\ 5 X = 2 Y

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umka2103 [35]

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-2.27 + 9.1w + 1.3w = -3.4w - 17.45 ----> combine like terms

-2.27 + 10.4w = -3.4w - 17.45 ----> add 3.4w to both sides

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dolphi86 [110]

Answer:

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Step-by-step explanation:

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The numbers between numbers are rational numbers.

Fir example:

1,2 ( between 1 and 2)

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Answer:

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Step-by-step explanation:

Hope this helps!

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