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2 years ago

Question 1 (Multiple Choice Worth 4 points)

Mathematics

1 answer:

VLD [36.1K]2 years ago

4 0

Answer:

In the first expression:

(5^3)^-4 = 5^-12

Step-by-step explanation:

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3x-1=11 solve for the variable

artcher [175]

First, we should add 1 to both sides to isolate the variable:

3x = 12

Now that x is isolated, we divide by 3:

x = 4

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3 years ago

Carlos went and purchased a new mattress for $644.80, including tax. He made a down

Annette [7]

Thx lolololoooopoooooooolol

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2 years ago

A researcher claims that the variation in the salaries of elementary school teachers is greater than the variation in the salari

guajiro [1.7K]

Answer:

The null hypothesis is $H_o : \sigma^2_1 = \sigma^2 _2$

The alternative hypothesis is $H_a : \sigma_1 ^2 > \sigma^2_2$

$F_{critical} = 1.8608$

$F = 2.9085$

The decision rule is

Reject the null hypothesis

There is sufficient evidence to support the researchers claim

Step-by-step explanation:

From the question we are told that

The first sample size is $n_1 = 30$

The sample variance for elementary school is $s^2_1 = 8324$

The second sample size is $n_2 = 30$

The sample variance for the secondary school is $s^2_2 = 2862$

The significance level is $\alpha = 0.05$

The null hypothesis is $H_o : \sigma^2_1 = \sigma^2 _2$

The alternative hypothesis is $H_a : \sigma_1 ^2 > \sigma^2_2$

Generally from the F statistics table the critical value of $\alpha = 0.05$ at first and second degree of freedom $df_1 = n_1 - 1 = 30 - 1 = 29$ and $df_2 = n_2 - 1 = 30 - 1 = 29$ is

$F_{critical} = 1.8608$

Generally the test statistics is mathematically represented as

$F = \frac{s_1^2 }{s_2^2}$

=> $F = \frac{8324 }{2862}$

=> $F = 2.9085$

Generally from the value obtained we see that $F > F_{critical }$ Hence

The decision rule is

Reject the null hypothesis

The conclusion is

There is sufficient evidence to support the researchers claim

4 0

2 years ago

A publisher claims that the average salary paid at its company is $37,500, but it could differ by as much as $4,500. Write an ab

Arlecino [84]

Answer:

|x − 37,500| ≤ 4,500

Step-by-step explanation:

salary - 37,500 can be up +4500 or as negative -4500

as much as means less than or equal to

We use absolute values to indicate this

|x − 37,500| ≤ 4,500

8 0

3 years ago

Read 2 more answers

Josie wants to make a drawstring backpack for her friends. She has 6 friends and the total for the backpacks is 48 dollars

Aneli [31]

8 dollars for each friend

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3 years ago