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3 years ago

What is the diffrence of 29.22 - 27.54?

Mathematics

2 answers:

Virty [35]3 years ago

7 0

29.22
27.54
--------
=1.68

sveta [45]3 years ago

6 0

The difference is 1.68.

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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:

The null hypothesis is $H_o : p = 0.75$

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

$t = 2.51$

$p-value = 0.01207$

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

Kendra paid $7 for her admission ticket to the fair and bought 12 ride tickets. She spent a total of $31 on admission and ride t

Bogdan [553]

X= one ride ticket
12x+7=31
-7 -7
12x = 12x
--- ---
12 12
x=2
$2

5 0

4 years ago

An apartment building has an elevator. The

scoundrel [369]

the answer is 3000 pounds.

Step-by-step explanation:

1 ton is 2000 pounds so you just have to multiply 1500×2.

8 0

3 years ago

Read 2 more answers

Using the Factor Theorem, which of the polynomial functions has the zeros 2, radical 3 , and negative radical 3 ? f (x) = x3 – 2

Basile [38]

Answer:

$f(x) = x^3 - 2x^2 -3x + 6$

Step-by-step explanation:

According to the Factor Theorem, if (x - k) is a factor of a polynomial P(x), then P(k) must equal zero.

We are given that a polynomial function has the zeros 2, √3, and -√3. So, we can let k = 2, √3, -√3.

So, according to the Factor Theorem, P(2), P(√3) and P(-√3) must equal 0.

Testing each choice, we can see that only A is true:

$\displaystyle f(x) = x^3 - 2x^2 - 3x + 6$

Testing all three values yields that:

$\displaystyle \begin{aligned} f(2) &= (2)^3 - 2(2)^2 -3(2) + 6 \\ &= (8) - (8) -(6) + (6) \\ &= 0\stackrel{\checkmark}{=}0 \\ \displaystyle f(\sqrt{3}) &= (\sqrt{3})^3 - 2(\sqrt{3})^2 - 3(\sqrt{3}) + 6 \\ &=(3\sqrt{3}) -(6)-(3\sqrt{3}) + 6 \\ &= 0\stackrel{\checkmark}{=}0 \\ f(-\sqrt{3}) &= (-\sqrt{3})^3 - 2(-\sqrt{3})^2 - 3(-\sqrt{3}) + 6 \\ &=(-3\sqrt{3}) -(6)+(3\sqrt{3}) + 6 \\ &= 0\stackrel{\checkmark}{=}0 \end{aligned}$

Hence, our answer is A.

3 0

3 years ago

Jacob and Shawna are selling shirts and hats for a

Nataliya [291]

answer:

$9 for a shirt

$5 for a hat

5 0

2 years ago