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3 years ago

Midpoint of (-3,2) (3,2)

Mathematics

1 answer:

Leno4ka [110]3 years ago

3 0

Answer: (0, 2)

Step-by-step explanation:

Do (x1+x2/2, y1+y2/2) as your formula to find the midpoints. -3+3/2=0 and 2+2/2=2 so the midpoint is (0, 2). Hope this helps, have a blessed and wonderful day as well as a safe one and stay healthy!

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46.The function f graphed above is the function f(x) = log2(x) + 2 for x > 0. Find a formula for the inverse of this function

pantera1 [17]

Answer:

The inverse for log₂(x) + 2 is - log₂x + 2.

Step-by-step explanation:

Given that

f(x) = log₂(x) + 2

Now to find the inverse of any function we put we replace x by 1/x.

f(x) = log₂(x) + 2

f(1/x) =g(x)= log₂(1/x) + 2

As we know that

log₂(a/b) = log₂a - log₂b

g(x) = log₂1 - log₂x + 2

We know that log₂1 = 0

g(x) = 0 - log₂x + 2

g(x) = - log₂x + 2

So the inverse for log₂(x) + 2 is - log₂x + 2.

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3 years ago

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Softa [21]

$180^o-112^o=68^o$

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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