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3 years ago

2z(4w+3z-5)-(2w+5z)(1w+4z-3)

Mathematics

1 answer:

frozen [14]3 years ago

8 0

If you are looking for this equation simplified, your answer will be -2w^2-5wz-14z^2+6w+5z

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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

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 gradient of a line with an equation of 3x-2y-6=0

Genrish500 [490]

Answer:

Slope m = 3/2

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Algebra I

Slope-Intercept Form: y = mx + b

m - slope
b - y-intercept

Step-by-step explanation:

Step 1: Define Equation

3x - 2y - 6 = 0

Step 2: Rewrite

Find slope-intercept form

Subtract 3x on both sides: -2y - 6 = -3x
Add 6 on both sides: -2y = -3x + 6
Divide -2 on both sides: y = 3/2x - 3

Step 3: Break Function

Identify Parts.

Slope m = 3/2

y-intercept b = -3

6 0

3 years ago

Is the answer English?

Vesnalui [34]

Yes indeed it is. Your correct

3 0

3 years ago

What is the feet....

olya-2409 [2.1K]

Answer: 29 feet from across the kitchen to one hole to the other.

3 0

3 years ago

The third term in an arithmetic sequence is 10 and the fifth term is 26.If the first term is a1,which is an equation for the nth

dexar [7]

Just plug in 3 for n and then 5 for n to see if an turns out to be 10 and 26.

n=3:
A) an = 8*3+10 = 34
B) an = 8*3 - 14 = 10 OK
C) an = 16*3+10 = 58
D) an = 16*3 - 38 = 10 OK

n=5:
B) an = 8*5-14 = 26 OK
D) an = 16*5 - 38 = 42

So the answer is B

5 0

3 years ago