Let f(x) = x^2 and g(x) = x-6. find (f o g)(-3). please help.

Answers

Answer 1
Answer:

Answer:

81

Step-by-step explanation:

f o g = f(g(x))

Step 1. Solve for g(-3)

-3 - 6 = -9

Step 2. Solve for f(-9)

-9^2 = 81


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Q6: Women's heights have a mean of 63.6 inches and a standard deviationof 2.5 inches. What is the z-score corresponding to a woman with a height
of 70 inches? Is this usual or unusual?
A. Z-score is 2.56 and is usual. B. Z-score is 2.56 and is unusual
C. Z-score is -2.56 and is usual D. Z-score is -2.56 and is unusual

Answers

The corresponding z-score for a height of 70 inches is 2.56, which is considered unusual based on the standard threshold.

Use the concept of statistics defined as:

Statistics is a discipline of mathematics that deals with all aspects of data. Statistical knowledge aids in the selection of the appropriate technique of data collection and the use of those samples in the appropriate analysis process in order to effectively create the results. In short, statistics is an important procedure that assists in making data-driven decisions.

Given that,

The mean height of women: 63.6 inches

The standard deviation of women's heights: 2.5 inches

Height in question: 70 inches

Z-score formula: Z = (X - μ) / σ

The Z-score calculation for a height of 70 inches: Z = 2.56

Z-score interpretation: Unusual (greater than 2)

To find the z-score,

Use the formula:

Z = (X - μ) / σ

Where,

X is the value (in this case, 70 inches),

μ is the mean (63.6 inches),

σ is the standarddeviation (2.5 inches).

Calculating the z-score for a height of 70 inches:

Z = (70 - 63.6) / 2.5

Z = 6.4 / 2.5

Z = 2.56

So, the z-score corresponding to a woman with a height of 70 inches is 2.56.

Now, to determine if this z-score is usual or unusual,

Use the standard z-score table.

Usually, z-scores greater than 2 or less than -2 are considered unusual.

In this case,

The z-score is 2.56, which is greater than 2.

Hence,

The correct answer is B. The z-score is 2.56 which is unusual.

To learn more about statistics visit:

brainly.com/question/30765535

#SPJ3

Answer:

A

Step-by-step explanation:

Hopefully this helps

What is the slope of this graph?

Answers

Answer:

-1

Step-by-step explanation:

It's going down so it's a negative, and it's going down one square unit at a time so just 1.

It takes Doug 3 days to reroof a house. If Doug's son helps him, the job can be completed in 2 days. How long would it take Doug's son, working alone, to do the job?

Answers

the answer is 1 day because if it takes Doug 3 days by himself and if his son helps him and it takes 2 days with the both of them that means it would only take Doug's son 1 day.

Is this correct ? .......................

Answers

To find the midpoint of the two points (x₁ ,y₁) and (x₂, y₂) we need to use the formula:

\sf{Midpoint=((x_1 + x_2)/(2), (y_1+y_2)/(2))}

So to find the midpoint of E (a,a) and F (3a, a), let's plug it in to the formula:

\sf{Midpoint=((a + 3a)/(2), (a+a)/(2))}

Simplify the numerator:

\sf{Midpoint=((4a)/(2), (2a)/(2))}

Simplifying the fractions more:

\sf{Midpoint=(2a, a)}


So the midpoint of EF is (2a,a).

Your answer of (a,a) would be wrong.

Three weeks ago John bought stock at 491/4; today the stock is valued at 497/8. We could say the stock is performing at which of the following?A. Below par
B. Above par
C. On par
D. Par equality

Answers

Rate at which John bought the stocks 3 weeks ago = 491/4
Rate at which John sold the stock = 497/8
Amount of loss incurred by John = (497/8) - (491/4)
                                                    = (497 - 982)/8
                                                    = - (485/8)
From the above deduction it can be easily said that the stock is performing below par. The correct option among all the options that are given in the question is option "A".

The Correct Answer Is B- Above Par

Solve for x: 3 − (2x − 5) < −4(x + 2)

Answers

3 − (2x − 5) < −4(x + 2)
3-2x+5< -4x-8
-2x+4x< -8-3-5
2x< -16
x< -16/2
x< -8
x∈(-∞ -8)