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wel
3 years ago
14

If f(x) = -x2 + 4x - 9 and g(x) = x - 8, find g(f(-1))

Mathematics
1 answer:
Paha777 [63]3 years ago
7 0

Answer:

-22

Step-by-step explanation:

f(x) = -x2 + 4x - 9

g(x) = x - 8,

g(f(-1))

First find f(-1)

f(-1) = - (-1)^2 + 4(-1) - 9 = -1 -4-9 = -14

The find g(-14)

g(-14) = -14-8 = -22

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3 years ago
A statistics tutor wants to assess whether her remedial tutoring has been effective for her five students. She decides to conduc
Snezhnost [94]

Answer:

The test statistic value is, <em>t</em> = -5.245.

The effect size using estimated Cohen's d is 2.35.

Step-by-step explanation:

A paired <em>t</em>-test would be used to determine whether the remedial tutoring has been effective for the statistics tutor's five students.

The hypothesis can be defined as follows:

<em>H</em>₀: The remedial tutoring has not been effective, i.e. <em>d</em> = 0.

<em>Hₐ</em>: The remedial tutoring has been effective, i.e. <em>d</em> > 0.

Use Excel to perform the Paired <em>t</em> test.

Go to Data → Data Analysis → t-test: Paired Two Sample Means

A dialog box will open.

Select the values of the variables accordingly.

The Excel output is attached below.

The test statistic value is, <em>t</em> = -5.245.

Compute the effect size using estimated Cohen's d as follows:

\text{Cohen's d}=\frac{Mean_{d}}{SD_{d}}

                =\frac{0.54}{0.23022}\\\\=2.34558\\\\\approx 2.35

Thus, the effect size using estimated Cohen's d is 2.35.

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4 years ago
Ben began peeling a pile of 64 potatoes
klasskru [66]

The number of potatoes peeled by Tom was 36 potatoes after peeling a pile of 64 potatoes

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more variables and numbers.

Let t represent the time after Tom joined.

number of potatoes peeled by Ben = 2(5 minutes) + 2t = 2t + 10

number of potatoes peeled by Tom = 4t

Since they are 64 potatoes, hence:

2t + 10 + 4t = 64

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number of potatoes peeled by Tom = 4(9) = 36 potatoes

The number of potatoes peeled by Tom was 36 potatoes after peeling a pile of 64 potatoes

Find out more on equation at: brainly.com/question/2972832

4 0
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