MATHEMATICS COLLEGE

Gibson (1986) asked a sample of college students to complete a self-esteem scale on which the midpoint of the scale was the score 108. He found that the average self-esteem score for the samples well above the actual midpoint of the scale. Given that the standard deviation of self esteem scores was 28.15, what would be the score for a sample participant whose ser esteem score was a. 101.67 b. -0.23 c. -0.87 d.0 e. -1.19 f. 0.97

Answers

Answer 1

Answer:

Answer:

Option B) -0.23

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 108

Standard Deviation, σ = 28.15

Formula:

$z_(score) = \displaystyle(x-\mu)/(\sigma)$

We are given x = 101.67

We have to find the corresponding z-score.

Putting values, we get,

$z_(score) = \displaystyle(101.67-108)/(28.15) = -0.2248 \approx -0.23$

Thus, the correct answer is

Option B) -0.23

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The shape of the distribution of the time required to get an oil change at a 15-minute oil-change facility is unknown. However, records indicate that the mean time is 16.2 minutes, and the standard deviation is 3.4 minutes.Requried:a. What is the probabilty that a random sample of n = 40 oil changes results in a sample mean time less than 15 minutes?b. Suppose the manager agrees to pay each employee a $50 bonus if they meet a certain goal. On a typical Saturday, the oil-change facility will perform 40 oil changes between 10 A.M. and 12 P.M. Treating this as a random sample, there would be a 10% chance of the mean oil-change time being at or below what value? This will be the goal established by the manager.
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Ninety-nine is what percent of 150?

A cat has 24 whiskers by its nose. A manatee has 25 times as many whiskers.

How many whiskers does a manatee have?

Answers

Answer:

600 whiskers

Step-by-step explanation:

If you multiply 24 by 25 you get 600

One normally distributed with mean value 20 in. and standard deviation .5 in. The length of the second piece is a normal rv with mean and standard deviation 15 in. and .4 in., respectively. The amount of overlap is normally distributed with mean value 1 in. and standard deviation .1 in. Assuming that the lengths and amount of overlap are independent of each other, what is the probability that the total length after insertion is between 34.5 and 35 in.

Answers

Answer:

The probability that the the total length after insertion is between 34.5 and 35 inches is 0.1589.

Step-by-step explanation:

Let the random variable X represent the length of the first piece, Y represent the length of the second piece and Z represents the overlap.

It is provided that:

$X\sim N(20,\ 0.50^(2))\nY\sim N(15,\ 0.40^(2))\nZ\sim N(1,\ 0.10^(2))$

It is provided that the lengths and amount of overlap are independent of each other.

Compute the mean and standard deviation of total length as follows:

$E(T)=E(X+Y-Z)\n=E(X)+E(Y)-E(Z)\n=20+15-1\n=34$

$SD(T)=√(V(X+Y-Z))\n=√(V(X)+V(Y)+V(Z))\n=\sqrt{0.50^(2)+0.40^(2)+0.10^(2)}\n=0.6480741\n\approx 0.65$

Since X, Y and Z all follow a Normal distribution, the random variable T, representing the total length will also follow a normal distribution.

$T\sim N(34, 0.65^(2))$

Compute the probability that the the total length after insertion is between 34.5 and 35 inches as follows:

$P(34.5<T<35)=P((34.5-34)/(0.65)<(T-\mu_(T))/(\sigma_(T))<(35-34)/(0.65))\n\n=P(0.77<Z<1.54)\n\n=P(Z<1.54)-P(Z<0.77)\n\n=0.93822-0.77935\n\n=0.15887\n\n\approx 0.1589$

*Use a z-table.

Thus, the probability that the the total length after insertion is between 34.5 and 35 inches is 0.1589.

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False
?

Answers

Answer: True

Explanation: The domain of a quadratic function in standard format is always all real numbers, meaning you can substitute any real number for x. The range of a function is the set of all real values of y that you can get by plugging real numbers into x.

Linear function is almost always going to be all real numbers. The range of a non-horizontal linear function is all real numbers no matter how flat the slope might look.

true....
the range of the function shows all real values

Mr. Gordon has 13 girls and 14 boys in his fourth period algebra class. One person is chosen at random.What is the probability that the person chosen is a boy?
A. 1/14
B. 1/27
C. 13/14
D. 13/27
E. 14/27

Answers

The probability that the person chosen is a boy is 14/27.

Number of girls = 13

Number of boys = 14

Total students = 27

What is probability?

Probability is a measure of the likelihood of occurrence of an event.

P(event) = Favorable outcomes / total outcomes

Favourable outcomes = 14 because there are 14 boys

Total outcomes =27

So, the probability that the person chosen is a boy will be given by:

P(boy)=14/27

So, the probability that the person chosen is a boy is 14/27.

Hence, the probability that the person chosen is a boy is 14/27.

To get more about probability visit:

brainly.com/question/24756209

Answer:

Step-by-step explanation:

It's E because you have to add 13 and 14 and as you can see there's 14 boys so it's E.

What is (0.4) exponential form?

Answers

Answer:

it would be 0.4 to the power (exponent) of 3

Step-by-step explanation:

should the answer be 0.4^3

(hope this helps can i plz have brainlist :D hehe)

(2x-8)times(3x-2) pls help

Answers

6x^2-28x+16 hope this helps

Answer:

6x^2-28x+16

Step-by-step explanation:

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