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2 years ago

Emmanuel use the calculations belongs to find a product of the given fractions in which Steps did his first error occurred

Mathematics

1 answer:

olya-2409 [2.1K]2 years ago

7 0

Answer:

Emanuel made huis mistake in first step and step 1 is incorrect.

Step-by-step explanation:

The given expression is

(\frac{3}{5})(\frac{4}{9})(-\frac{1}{2})(

)(

)(−

)

It can be written as

\frac{3}{5})(\frac{4}{9})(\frac{-1}{2}

)(

−1

Step 1: (\frac{(3)(4)(-1)}{(5)(9)(2)})(

(5)(9)(2)

(3)(4)(−1)

)

Emanuel used negative sign with both numbers 1 and 2. Therefore the first step of Emanuel is incorrect.

Step 2: \frac{-12}{90}

−12

Step 3: \frac{-2}{15}

−2

Therefore Emanuel made huis mistake in first step and step 1 is incorrect

Step-by-step explanation:

all the steps are given below

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The population standard deviation for the typing speeds for secretaries is 4 words per minute. If we want to be 90% confident th

Oksana_A [137]

Answer:

The minimum sample size that should be taken is 62.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.9}{2} = 0.05$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.05 = 0.95$ , so $z = 1.645$

Now, find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

If we want to be 90% confident that the sample mean is within 1 word per minute of the true population mean, what is the minimum sample size that should be taken

This is n when $M = 1, \sigma = 4$ . So

$M = z*\frac{\sigma}{\sqrt{n}}$

$1 = 1.96*\frac{4}{\sqrt{n}}$

$\sqrt{n} = 4*1.96$

$(\sqrt{n})^{2} = (4*1.96)^{2}$

$n = 61.5$

The minimum sample size that should be taken is 62.

8 0

3 years ago

Use the distributive property to write an equivalent expression in simplest form.<br> 9(4h+ 9m)

sammy [17]

Answer:

36h+81m

Step-by-step explanation:

9*4h+9*9m=36h+81m

4 0

3 years ago

Read 2 more answers

I am a 2 digit number the sum of my digits is 12. the ones digit is twice the tens digit? who am i?

Bas_tet [7]

Answer:

Step-by-step explanation:

let a be the 1's digit and b the 10's digit, then

a = 2b ← twice the 10's digit, thus

sum = 2b + b = 12, that is

3b = 12 ( divide both sides by 3 )

b = 4

and a = 2b = 2 × 4 = 8

The 2 digit number is 84

5 0

3 years ago

<img src="https://tex.z-dn.net/?f=%282%2F3%29%5E%7B3%7D" id="TexFormula1" title="(2/3)^{3}" alt="(2/3)^{3}" align="absmiddle" cl

tiny-mole [99]

Answer:

$\frac{8}{27}$

Step-by-step explanation:

$(\frac{2}{3} )^3 = \frac{2^3}{3^3} = \frac{2 \times 2 \times 2}{3 \times 3 \times 3} = \frac{8}{27}$

8 0

3 years ago

What is the solution of the system ? Use elimination 3x -4y = -24 X + y = -1

alexdok [17]

Solve the following system using elimination:
{3 x - 4 y = -24 | (equation 1)
{x + y = -1 | (equation 2)

Subtract 1/3 × (equation 1) from equation 2:
{3 x - 4 y = -24 | (equation 1)
{0 x+(7 y)/3 = 7 | (equation 2)

Multiply equation 2 by 3/7:
{3 x - 4 y = -24 | (equation 1)
{0 x+y = 3 | (equation 2)

Add 4 × (equation 2) to equation 1:
{3 x+0 y = -12 | (equation 1)
{0 x+y = 3 | (equation 2)

Divide equation 1 by 3:
{x+0 y = -4 | (equation 1)
{0 x+y = 3 | (equation 2)

Collect results:

Answer: {x = -4, y = 3

3 0

3 years ago

Emmanuel use the calculations belongs to find a product of the given fractions in which Steps did his first error occurred￼

Emmanuel use the calculations belongs to find a product of the given fractions in which Steps did his first error occurred