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3 years ago

Please help. I'm stuck.

Mathematics

1 answer:

Bezzdna [24]3 years ago

4 0

The root $\sqrt{10}$ can be converted into the power $10^{ \frac{1}{2} }$ . Therefore we can rewrite the problem as $(10^{ \frac{1}{2} } )^ {\frac{3}{4} x}$ and then follow the exponent rules about a power to a power, multiplying 1/2 and 3/4 together.

Thus the problem becomes $10^{\frac{3}{8}x}$ , which then can be turned into $\sqrt[8]{10} ^{3x}$ , making the last option our answer.

You might be interested in

Which line has a slope of 1, and which has a slope of 2?

aleksley [76]

Answer:

Line "L" has the slope of 1 and line "K" has the slope of 2.

In order to graph a line with the slope of $\frac{1}{3}$ think of the numerator as the "rise" (how much you move up/down on the y-intercept) and the denominator as the "run" (how much you move to the side on the x-intercept)

Step-by-step explanation:

A slope of "1" is simply $\frac{1}{1}$ so you rise up one and move to the right once. This clearly demonstrated on line "L".

A slope of "2" is $\frac{2}{1}$ so you rise up two and move to the right once, as is demonstrated on line "K".

For the 2nd question, line "A" will have a slope of $\frac{1}{3}$ therefore it will move up once and then to the side three times. It will look like the image attached to this answer.

I hope this helped! Feel free to ask questions if needed!

6 0

3 years ago

26. Students who take a statistics course are given a pre-test on the concepts and skills for the first chapter of a statistics

hjlf

The test statistic value lies to the right of the critical value. So we have sufficient evidence to reject the null hypothesis.

<h3>What are null hypotheses and alternative hypotheses?</h3>

In null hypotheses, there is no relationship between the two phenomenons under the assumption or it is not associated with the group. And in alternative hypotheses, there is a relationship between the two chosen unknowns.

Students who take a statistics course are given a pre-test on the concepts and skills for the first chapter of a statistics course.

Then they are given a post-test once the professor has concluded lecturing on the material.

Pre-test and post-test scores for 4 students in an elementary statistics class are given below.

Then we have

$\mu _d = \mu _{post} - \mu _{pre}$

Then the null hypotheses and alternative hypotheses will be

H₀: $\mu _d = 0$

Hₐ: $\mu _d > 0$

Then the test statistic will be

$\rm \overline{x} _d = \dfrac{\Sigma x_d}{n} = \dfrac{15+12+10+1}{4}\\\\\overline{x} _d = 9.5$

Then

$\rm S_d = 6.02$

The test statistic value is given by

$\rm t = \dfrac{\overline{x} _d }{\dfrac{S_d}{\sqrtn}} \\\\t = \dfrac{9.5}{\dfrac{6.02}{\sqrt4}}\\\\t = 3.16$

Since this is a right-tailed test, so the critical value is given by

$\rm t_{n-1}(\alpha ) = t_3 (0.05) = 2.353$

Since the test statistic value lies to the right of the critical value. So we have sufficient evidence to reject the null hypothesis.

Hence, we can conclude that $\mu _d > 0$ that is test scores have improved.

More about the null hypotheses and alternative hypotheses link is given below.

brainly.com/question/9504281

#SPJ1

7 0

2 years ago

What percent of 200 miles is 150 miles

Bumek [7]

150 / 200 = 0.75

0.75 = 75%

150 of anything is 75% of 200 of the same thing.

3 0

3 years ago

Read 2 more answers