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Ludmilka [50]
3 years ago
6

How to factor this equation

Mathematics
1 answer:
KIM [24]3 years ago
7 0

Answer:

Step-by-step explanation:

x2=256

By taking Square root we get

x=16

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How many students must be randomly selected to estimate the mean weekly earnings of students at one college? We want 95% confide
kari74 [83]

Answer:

The sample of students required to estimate the mean weekly earnings of students at one college is of size, 3458.

Step-by-step explanation:

The (1 - <em>α</em>)% confidence interval for population mean (<em>μ</em>) is:

CI=\bar x\pm z_{\alpha/2}\times \frac{\sigma}{\sqrt{n}}

The margin of error of a (1 - <em>α</em>)% confidence interval for population mean (<em>μ</em>) is:

MOE=z_{\alpha/2}\times \frac{\sigma}{\sqrt{n}}

The information provided is:

<em>σ</em> = $60

<em>MOE</em> = $2

The critical value of <em>z</em> for 95% confidence level is:

z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96

Compute the sample size as follows:

MOE=z_{\alpha/2}\times \frac{\sigma}{\sqrt{n}}

       n=[\frac{z_{\alpha/2}\times \sigma }{MOE}]^{2}

          =[\frac{1.96\times 60}{2}]^{2}

          =3457.44\\\approx 3458

Thus, the sample of students required to estimate the mean weekly earnings of students at one college is of size, 3458.

8 0
3 years ago
In a particular month, Ezhil spent one-fifth of her salary on shopping. Two-fifth of the remaining she gave to her sister. If sh
Oxana [17]

Answer:

Salary = Rs23000

Step-by-step explanation:

Given

Shopping = \frac{1}{5}

Sister = \frac{2}{5}R

Left over = Rs11,040

Required

Her salary in that month

Given that she spent \frac{1}{5} of her salary on shopping, this implies that she has \frac{4}{5} of her salary left

From what's left, she gave her sister \frac{2}{5}

This means she gave her sister \frac{2}{5} * \frac{4}{5}

Sister = \frac{8}{25}

Calculating a fraction of what's left

Left over = 1 -Shopping - Sister

Left over = 1  - \frac{1}{5}- \frac{8}{25}

Left over = \frac{25 - 5 - 8}{25}

Left over = \frac{12}{25}

Recall that she has Rs11,040

This means that

\frac{12}{25} of Salary = Rs11,040

Multiply both sides by \frac{25}{12}

\frac{12}{25} * \frac{25}{12} * Salary = Rs11,040 * \frac{25}{12}

Salary = Rs11,040 * \frac{25}{12}

Salary = \frac{Rs276000}{12}

Salary = Rs23000

Hence, her salary for that month was Rs23000

5 0
3 years ago
Read 2 more answers
3-9x=6×7x(10÷5(4+3³)+2x)​
nasty-shy [4]

Answer:

871 - \sqrt(758753)) (56) (871+\sqrt(758753)) (56) decimal form: 0.00114806, -31.0829092

Step-by-step explanation:

5 0
3 years ago
400 ml squash is made by mixing 50 ml of cordial with water. what fraction of the drink is water?give your answer in its simples
Tasya [4]

squash = cordial + water

400 ml = 50 ml + x ml

350 ml = x ml

Therefore, 350 ml are water.

350 ml / 400 ml = 0.875 = \frac{350}{400} = \frac{35}{40} = \frac{7}{8}

So the answer is 7 / 8

5 0
3 years ago
(I will mark brainlest, please help me. I'm just really confused.) (25 POINTS)
Alecsey [184]

Answer:

below

Step-by-step explanation:

for f(x) insert the x into the equation.

example:

f(-6) → -(-6+2)^2

follow pemdas

p: -(-4)^2

e: -(16) because -4 times -4 is 16.

m: -(16) → -16

Do that for the rest of the first table. As for the inverse table, f(x) and x will just switch spots. so (-6,-16) will become (-16,-6)

7 0
3 years ago
Read 2 more answers
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