30 POINTS <br><br> ( hey there, I attached the question in the photo. please help me! )

Which radical expression represents the combination of the expressions 3 √90 + 2 √27 and −(5 √3 + 8 √40 )?

stepladder [879]

B the answer is b because you have to add

6 0

3 years ago

In a Pew Research Center poll of 745 randomly selected adults, 589 said that it is morally wrong to not report all income on tax

Nikolay [14]

Answer:

a

The null hypothesis is $H_o : p = 0.75$

The alternative hypothesis is $H_a : p \ne 0.75$

b

$t = 2.51$

c

$p-value = 0.01207$

d

There no sufficient evidence to conclude that 75% of adults say that it is morally wrong to not report all income on tax returns

Step-by-step explanation:

From the question we are told that

The sample size is $n = 745$

The number that said it is morally wrong is $k = 589$

The level of significance is $\alpha = 0.01$

The population proportion is $p = 0.75$

Generally the sample proportion is mathematically represented as

$\r p = \frac{k}{n}$

=> $\r p = \frac{589}{745}$

=> $\r p = 0.79$

The null hypothesis is $H_o : p = 0.75$

The alternative hypothesis is $H_a : p \ne 0.75$

The standard error is mathematically represented as

$SE = \sqrt{\frac{p(1-p)}{n} }$

=> $SE = \sqrt{\frac{0.75(1-0.75)}{745} }$

=> $SE =0.0159$

Generally the test statistics is mathematically represented as

$t = \frac{\r p - p }{SE}$

=> $t = \frac{0.79 - 0.75 }{0.0159}$

=> $t = 2.51$

Generally the p-value is mathematically represented as

$p-value = 2 * P(Z > 2.51)$

From the the z-table

$P(Z > 2.51) = 0.0060366$

=> $p-value = 2 * 0.0060366$

=> $p-value = 0.01207$

From the calculation $p-value >\alpha$

Hence we fail to reject the null hypothesis

Thus there no sufficient evidence to conclude that 75% of adults say that it is morally wrong to not report all income on tax returns

7 0

3 years ago

Which pairs of triangles can be shown to be congruent using rigid motions?

sergeinik [125]

Answer:

Not congruent; not congruent; congruent; congruent; not congruent; not congruent.

Step-by-step explanation:

The base of △ABC, BC, is 2 units. The height of △ABC, extending from A to BC, is 3 units. This means that any triangle congruent to this will have a base of 2 and a height of 3.

△MNP has a base of 2; however, its height (from M to NP) is 4 units. Therefore they are not congruent.

△EFG has a base of 2 and a height of 4; it and △ABC are not congruent.

△STU has a base of 2 and a height of 3; it is congruent to △ABC.

△EFG has a base of 2 and a height of 4, just as △MNP; they are congruent.

Since △STU is congruent to △ABC, and we know that △EFG is not congruent to △ABC, we know that △EFG is not congruent to △STU.

Since △MNP is congruent to △EFG, and △EFG is not congruent to △STU, then △MNP is not congruent to △STU.

6 0

3 years ago

Read 2 more answers

GIVING BRAINLIEST PLEASE HELP!!

insens350 [35]

Answer:

I need to see the "Dynamic Geometry Tool", as my answer will be based off that :)

Step-by-step explanation:

5 0

3 years ago

Can someone please help me k(x) = 4x2 + 1; k(-3)

gulaghasi [49]

Answer:

37

Step-by-step explanation:

k(x) = 4x2 + 1

$= 4( - 3) {}^{2} + 1 \\ 4(9) + 1 \\ 36 + 1 \\ 37$

6 0

3 years ago

30 POINTS ( hey there, I attached the question in the photo. please help me! )