Find the total cost of a spa treatment with of $42 with a 20% tip and a 6% tax

Which monomial is a perfect cube?

neonofarm [45]

Answer:

Option (a) is correct.

$1x^3$ is a perfect cube.

Step-by-step explanation:

Given : Some Monomial

We have to choose out of given monomial that is a perfect cube.

Perfect cubes are numbers that can be written as $(ab)^3$

So, consider $1x^3$ , we know 1 can be written as $1^3$

Thus, $1x^3$ can be written as $1^3x^3=(1x)^3$

Thus, Option (a) is correct.

5 0

3 years ago

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For each level of precision, find the required sample size to estimate the mean starting salary for a new CPA with 95 percent co

Rzqust [24]

Answer:

(a) Margin of error ( E) = $2,000 , n = 54

(b) Margin of error ( E) = $1,000 , n = 216

(c) Margin of error ( E) = $500 , n= 864

Step-by-step explanation:

Given -

Standard deviation $\sigma$ = $7,500

$\alpha$ = 1 - confidence interval = 1 - .95 = .05

$Z_{\frac{\alpha}{2}}$ = $Z_{\frac{.05}{2}}$ = 1.96

let sample size is n

(a) Margin of error ( E) = $2,000

Margin of error ( E) = $Z_{\frac{\alpha}{2}}\frac{\sigma}{\sqrt{n}}$

E = $Z_{\frac{.05}{2}}\frac{7500}{\sqrt{n}}$

Squaring both side

$E^{2} = 1.96^{2}\times\frac{7500^{2}}{n}$

$n =\frac{1.96^{2}}{2000^{2}} \times 7500^{2}$

n = 54.0225

n = 54 ( approximately)

(b) Margin of error ( E) = $1,000

E = $Z_{\frac{\alpha}{2}}\frac{\sigma}{\sqrt{n}}$

1000 = $Z_{\frac{.05}{2}}\frac{7500}{\sqrt{n}}$

Squaring both side

$1000^{2} = 1.96^{2}\times\frac{7500^{2}}{n}$

$n =\frac{1.96^{2}}{1000^{2}} \times 7500^{2}$

n = 216

(c) Margin of error ( E) = $500

E = $Z_{\frac{\alpha}{2}}\frac{\sigma}{\sqrt{n}}$

500 = $Z_{\frac{.05}{2}}\frac{7500}{\sqrt{n}}$

Squaring both side

$500^{2} = 1.96^{2}\times\frac{7500^{2}}{n}$

$n =\frac{1.96^{2}}{500^{2}} \times 7500^{2}$

n = 864

7 0

3 years ago

What is the reciprocal of 2/3

galina1969 [7]

Answer:

3/2 or 1 and a half

hope it helps.

just sitting here waiting for brainliest........

7 0

3 years ago

What is the area of a traingle with base as 2cm and height as 7cm?

Alex17521 [72]

Answer:

7 cm²

Step-by-step explanation:

Area of a triangle = (Base * hight) / 2

A = (2* 7) /2 = 14/ 2 = 7 cm²

3 0

2 years ago

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So, you go to a Coffee Shop. They have either small, medium or large coffee. They have vanilla or hazelnut flavor. What are the

Talja [164]

Answer:

6

Step-by-step explanation:

Size times flavor. 3 times 2 = 6

6 0

3 years ago