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saveliy_v [14]
2 years ago
7

Do anybody know the answer to dis

Mathematics
1 answer:
Iteru [2.4K]2 years ago
6 0

Answer:

48.83

Step-by-step explanation

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Suppose you can somehow choose two people at random who took the SAT in 2014. A reminder that scores were Normally distributed w
Sindrei [870]

Answer:

22.29% probability that both of them scored above a 1520

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 1497, \sigma = 322

The first step to solve the question is find the probability that a student has of scoring above 1520, which is 1 subtracted by the pvalue of Z when X = 1520.

So

Z = \frac{X - \mu}{\sigma}

Z = \frac{1520 - 1497}{322}

Z = 0.07

Z = 0.07 has a pvalue of 0.5279

1 - 0.5279 = 0.4721

Each students has a 0.4721 probability of scoring above 1520.

What is the probability that both of them scored above a 1520?

Each students has a 0.4721 probability of scoring above 1520. So

P = 0.4721*0.4721 = 0.2229

22.29% probability that both of them scored above a 1520

8 0
3 years ago
A cone with a mass of 6 g has a radius measuring 5 cm and a height of 2 cm. What is its density?
AlekseyPX

Volume of a cone is equal to pi*r^2*(h/3)

3.14*5^2*2/3 = 52.36 cubic cm.

Density = mass/volume

 6 grams/ 52.36 cm^3= 0.1146

Round to 2 decimal places to get D.0.11 g/cm^3

7 0
3 years ago
Read 2 more answers
Let the correct answer
grigory [225]

Answer:

c i think sorry if i get it wrong

Step-by-step explanation:

6 0
3 years ago
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Which expression is equivalent to the expression 4(6+y)+7?
natita [175]

Answer:

31 + 4y

Step-by-step explanation:

4(6+y)+7

Expand the brackets.

24+4y+7

Rearrange.

4y + 24 + 7

Add the like terms.

4y + 31

7 0
3 years ago
What is the √ 100 / 4x squared
Sholpan [36]

Answer:

5/2x^2 or 2.5x^2 I think

4 0
3 years ago
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