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2 years ago

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Mathematics

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Yakvenalex [24]2 years ago

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Scores on the GRE (Graduate Record Examination) are normally distributed with a mean of 513 and a standard deviation of 82. Use

Trava [24]

Answer:

Note that we need calculate the scores between the mean ( $\mu=513$ ) and the mean plus 3 times the standard deviation. It is 3 times since the distance between the values given (513 and 759) divided by the standard deviation is 3 ( $\frac{759-513}{82}=3$ )

So the rule say that 99.7% of data is between $\mu - 3\sigma$ and $\mu + 3\sigma$ , as it is a normal distribution half of 99.7% is between $\mu$ and $\mu+3\sigma$ . Hence 49.85% of people score between 513 and 759.

4 0

3 years ago

Subtracing 3x2+4x-5 from 7x2-3x from this polynomial the difference is

kolezko [41]

7x^2-3x - (3x^2 +4x -5) multiply negative one across the entire second term

7x^2 - 3x -3x^2 -4x +5

4x^2 -7x +5

4 0

3 years ago

The radius of a sphere decreases at a rate of 6 m/sec. find the rate at which the surface area decreases when the radius is 20 m

DanielleElmas [232]

The radius of the sphere decreases at the rate of 6 m/ sec

That is, $\frac{dr}{dt}=-6$

Surface Area of the sphere of radius r is given by $S=4\pi r^2$

Differentiating with respect to t,

$\frac{dS}{dt}=4\pi (2r)\frac{dr}{dt}=8\pi r\frac{dr}{dt}$

$\frac{dS}{dt}=8\pi (20)^2(-6)=-960\pi \: m^2/sec$

8 0

3 years ago

Single adults: According to a Pew Research Center analysis of census data, in 2012, 20% of American adults ages 25 and older had

dmitriy555 [2]

Answer:

Option B

Step-by-step explanation:

The number that had never been married will vary in each sample due to the random selection of adults.

This number will vary in each sample to the random selection process but they might or might not be as close as possible to one another after sampling.

7 0

3 years ago

A box of oatmeal must contain 16 oz. The machine that fills the oatmeal boxes is set so that, on the average, a box contains 16.

Vadim26 [7]

Answer:

29. 15.87%

30. 4.75%

31. 0.62%

32. probability cannot be calculated (0%)

Step-by-step explanation:

We have that the formula of the normal distribution is:

z = (x - m) / sd

where x is the value we are going to evaluate, m is the mean and sd is the standard deviation

x = 16 and m = 16.5

when sd = 0.5

z = (16 - 16.5) /0.5

z = -1

Now when looking in the z table, we have that the corresponding value is 0.1587, that is, the probability is 15.87%

when sd = 0.3

z = (16 - 16.5) /0.3

z = -1.67

Now when looking in the z table, we have that the corresponding value is 0.0475, that is, the probability is 4.75%

when sd = 0.2

z = (16 - 16.5) /0.2

z = -2.5

Now when looking in the z table, we have that the corresponding value is 0.0062, that is, the probability is 0.62%

when sd = 0

z = (16 - 16.5) / 0

z = infinity

probability cannot be calculated

4 0

3 years ago

Code=oxi-vxsh-hrb join now for fun​ on plz join

Code=oxi-vxsh-hrb join now for fun on plz join