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3 years ago

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Mathematics

1 answer:

lyudmila [28]3 years ago

6 0

Answer:

x=-26

Step-by-step explanation:

Subtract 45 from both sides.

-85-45=5x

Simplify -85-45 to -130

-130=5x

Divide both sides by 5.

-130/5=x

Simplify 130/5 to 26

-26=x

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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

3 years ago

The angle measurements in the diagram are represented by the following expressions.

aliya0001 [1]

Angle a and b are supplementary angles which means that when added they equal 180.
so we must set our equation equal to 180.
8x+74+2x+56=180
which simplifies to 10x+130=180
then subtract 130 from both sides.
10x=50
x=5

So we plug in 5 to find the measure of b.
2(5)+56=b
10+56=b
66=b
the measure of angle b is 66 degrees

8 0

3 years ago

Best estimate of the total spent, not including tax 6.52 + 19.89 + 21.15

maw [93]

Answer:

47.56

Step-by-step explanation:

5 0

3 years ago

Which is an x-intercept of the continuous function in the table?(0, –6)(3, 0)(–6, 0)(0, 3)

Neporo4naja [7]

Answer:

B. (3,0)

Step-by-step explanation:

The x-intercept is the point where the graph of the function meets the x-axis.

At x-intercept, y = 0 or f(x) = 0

So look through the table and find where f(x) = 0.

From the table, f(x) = 0 at x = 3.

We write this as an ordered pair.

Therefore the x-intercept is (3,0)

The correct choice is B.

6 0

2 years ago

The first question please

konstantin123 [22]

It is the first question u are looking for

6 0

3 years ago

Read 2 more answers

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