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3 years ago

Prime factors of 36

Mathematics

2 answers:

Firdavs [7]3 years ago

4 0

36 = 4*9

= 2*2 * 3*3

= 2^2 * 3^2

liq [111]3 years ago

3 0

2 x 2 x 3 x 3

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Rewrite in simplest terms: (9x+5)-(-2x+10)(9x+5)−(−2x+10)

Blababa [14]

$\implies {\blue {\boxed {\boxed {\purple {\sf { 18 {x}^{2} - 69x - 55}}}}}}$

$\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}$

$= (9x + 5) - ( - 2 x+ 10)(9x + 5) - ( - 2x + 10)$

$= (9x + 5) + 2x (9x + 5) - 10(9x + 5) - ( - 2x + 10)$

$= 9x + 5 + 18 {x}^{2} + 10 x- 90x - 50 + 2x - 10$

Collect the like terms.

$= 18 {x}^{2} + (9x + 10x- 90x + 2x) + (5 - 50 - 10)$

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<h3> $\boxed{ Note:}$ </h3>

$\sf\pink{PEMDAS\: rule.}$

P = Parentheses

E = Exponents

M = Multiplication

D = Division

A = Addition

S = Subtraction

$\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35♛}}}}}$

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3 years ago

Ms. Carter is purchasing books for her class. She needs to buy 24books. Each costs $3.45. How much money will Ms. Carter spend o

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3 years ago

A research institute poll asked respondents if they felt vulnerable to identity theft. In the poll, n=918 and x=521 who said "

s2008m [1.1K]

Answer:

B) The margin of error is 0.0269.

C) The confidence interval is (0.5406, 0.5944).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

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In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

In the poll, n=918 and x=521 who said "yes."

This means that $n = 918, \pi = \frac{521}{918} = 0.5675$

90% confidence level

So $\alpha = 0.1$ , z is the value of Z that has a pvalue of $1 - \frac{0.1}{2} = 0.95$ , so $Z = 1.645$ .

B) Identify the value of the margin of error E.

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

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The margin of error is 0.0269.

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The confidence interval is (0.5406, 0.5944).

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3 years ago

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Tresset [83]

Answer:

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Step-by-step explanation:

First convert the line into slope intercept form to find the slope of the line.

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