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Masja [62]
3 years ago
15

Evaluate k^2 − 2 k + 5 , when k = − 2

Mathematics
1 answer:
ludmilkaskok [199]3 years ago
3 0

Answer:5

22x{2} -2(2)+5

Step-by-step explanation:

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Which radical expressions are equivalent to the exponential expression below ? Check all that apply . (13 + 8) ^ (1/2) A. (13 +
Fantom [35]

Answer:

(B)\sqrt{21}\\(C)\sqrt{13+8}

Step-by-step explanation:

Given the expression (13 + 8) ^{1/2}

Using law of indices: a^{1/2}=\sqrt{a}

(13 + 8) ^{1/2}=\sqrt{13+8}

Also:13+8=21

Therefore:

(13 + 8) ^{1/2}=21^{1/2}\\=\sqrt{21}

8 0
3 years ago
explain why division by zero is not allowed.Don't give an exact definition from another source.Use pictures or real-life example
Roman55 [17]
Division by zero simply would work because you cannot divid something by zero, it would be the same as not dividing it at all. take a birthday cake, if you divide it by zero, u didn’t cut it at all
6 0
3 years ago
Help me find the solution set for 8x-3=2(x-1/2)
daser333 [38]
8x -3 = 2(x-1/2)
⇒ 8x -3= 2x -2*(1/2)
⇒ 8x -3 = 2x -1
⇒ 8x -2x= -1+ 3
⇒ 6x = 2
⇒ x= 2/6
⇒ x= 1/3

The final answer is x= 1/3~
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
Write <br> 23/25 as a percent
Firdavs [7]
3 / 25 = x / 100 

<span>23/25 = 0.92 = 92/100 </span>

<span>x = 92%</span>
8 0
3 years ago
Read 2 more answers
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