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4 years ago

X-2y=4 x-2y=5 how many solutions does these equations have

Mathematics

1 answer:

cupoosta [38]4 years ago

6 0

Answer:

No solutions

Step-by-step explanation:

Rewrite x-2y=4 x-2y=5 in column form:

x-2y=4

x-2y=5

Because both equations have x - 2y on the left and different constants on the right, we know immediately that there is no solution. These two lines are parallel and different; they never cross.

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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

4 years ago

At the end of the baseball season, four families decided to buy the coach a gift certificate. Each family contributed $35 toward

igomit [66]

Answer: sorry but I’m in a rush to get to work my client won’t be happy if I’m late I know the answer tho!

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

In 2005, Lee began working as a nurse anesthetist with a taxable income of $119,000. The Medicare tax was 1.45% and the Social S

maks197457 [2]

Answer:

$7,305.50

Step-by-step explanation:

The computation of the FICA tax pay in 2005 is shown below:

Medicare = 1.45% × $119,000 = $1,722.50

And, Social security tax = 6.2% × 90,000 = $5,580

So, the FICA tax in 2005 is

= Medicare tax + Social security tax

= $1,722.50 + $5,580

= $7,305.50

7 0

3 years ago

Your throw your ball into a air from height of 4.2

melamori03 [73]

4.2m
10N/kg
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3 0

3 years ago

the area of a triangle is 124 square units. what would it's new area be if its base was half as long and its height was three ti

Montano1993 [528]

To solve this problem you must apply the proccedure shown below:

1. You have that the formula for calculate the area of a triangle is:

A=bh/2

Where A is the area of the triangle, b is the base of the triangle and h is the height of the triangle.

bh/2=124
bh=124x2
bh=248

2. The problem asks for the new area of the triangle if its base was half as long and its height was three times as long. Then, you have:

Base=b/2
Height=3h

3. Therefore, when you substitute this into the formula for calculate the area of a triangle, you obtain:

A'=bh/2

(A' is the new area)

A'=(b/2)(3)/2
A'=3bh/4

4. When you substitute bh=248 into A'=3bh/4, you obtain:

A'=186 units²

The answer is: 186 units²

3 0

4 years ago