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3 years ago

5) What point would be the reflection, across the x-axis, for the point (-8,-7)?

Mathematics

1 answer:

melisa1 [442]3 years ago

8 0

Answer: (8,-7)

Step-by-step explanation: Since you are reflecting over the x-axis, the x coordinate stays the same, but the y coordinate does change. Instead of it being negative, the eight would become positive.

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How can you use addition and subtraction to put together and separate measures of an angle and its parts?

Oksanka [162]

We can use addition and subtraction <span>to put together and separate measures of an angle and its parts by looking for the complementary or the supplementary angles.

For example, What is the other angle in a complementary angle in which one of the angles is 45 degrees. This is how should be answered. Ccomplementary angles are two angles that forms a total of 90 degrees.
90 = A + B
90 = 45 + B
B = 90 - 45
B = 45

</span>

7 0

3 years ago

83 random samples were selected from a normally distributed population and were found to have a mean of 32.1 and a standard devi

arlik [135]

Answer:

$\frac{(82)(2.4)^2}{104.139} \leq \sigma^2 \leq \frac{(82)(2.4)^2}{62.132}$

$4.525 \leq \sigma^2 \leq 7.602$

Now we just take square root on both sides of the interval and we got:

$2.127 \leq \sigma \leq 2.757$

Step-by-step explanation:

Information given

$\bar X=32.1$ represent the sample mean

$\mu$ population mean (variable of interest)

s=2.4 represent the sample standard deviation

n=83 represent the sample size

Confidence interval

The confidence interval for the population variance is given by the following formula:

$\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma^2 \leq \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}$

The degrees of freedom given by:

$df=n-1=8-1=7$

The confidence level is 0.90 or 90%, the value of $\alpha=0.1$ and $\alpha/2 =0.05$ , and we can use excel, a calculator or a table to find the critical values.

The excel commands would be: "=CHISQ.INV(0.05,82)" "=CHISQ.INV(0.95,82)". so for this case the critical values are:

$\chi^2_{\alpha/2}=104.139$

$\chi^2_{1- \alpha/2}=62.132$

The confidence interval is given by:

$\frac{(82)(2.4)^2}{104.139} \leq \sigma^2 \leq \frac{(82)(2.4)^2}{62.132}$

$4.525 \leq \sigma^2 \leq 7.602$

Now we just take square root on both sides of the interval and we got:

$2.127 \leq \sigma \leq 2.757$

5 0

3 years ago

PLZZZZZZ HELP MARK BRAINIEST

MAXImum [283]

Answer:

a.J+J+10=M

b. 15+10=25M

c. 9-10=-1 9+(-1)=8

Step-by-step explanation:

8 0

3 years ago

How is factoring a trinomial different than factoring a number?

JulijaS [17]

Answer:

Hope this answers the question.

Step-by-step explanation:

Factoring a number: If you use the number 10, for example, you have to find all the factors to factor it. 1, 2, 5, 10.

Factoring a trinomial: If you use the trinomial x^2 + 16 + 64, for example, to factor it you need to first find what numbers multiply up to 64 and also add up to 16. In this case, those numbers are 8, and so you get (x + 8)^2.

7 0

3 years ago

Write a numerical expression for the following: The product of seven and twelve minus fifteen

saul85 [17]

the answer to this is 7+12-15

8 0

3 years ago

Read 2 more answers