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3 years ago

Help !!!! Thank you!!!!

Mathematics

1 answer:

castortr0y [4]3 years ago

3 0

Answer:

Option (G)

Step-by-step explanation:

Volume of the real cane = 96 in³

Volume of the model of a can = 12 in³

Volume scale factor = $\frac{\text{Volume of the model}}{\text{Volume of the real can}}$

= $\frac{12}{96}$

$=\frac{1}{8}$

Scale factor of the model = $\sqrt[3]{\text{Volume scale factor}}$

$=\sqrt[3]{\frac{1}{8}}$

$=\frac{1}{2}$

Therefore, scale factor of the model of a can = $\frac{1}{2}$ ≈ 1 : 2

Option (G) will be the correct option.

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7. Richard deposited $5400 and got back an amount of $6000 after 2 years.

sveticcg [70]

Answer:

600

Step-by-step explanation:

7 0

3 years ago

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

PLEASE HELP

Mandarinka [93]

Let x=large boxes and y=small boxes.

x+y=110

60x+35y=5100

____________

You need to cancel out one of the variables to solve for one. Let's cancel out y.

-35(x+y=110)

-35x-35y=-3850

60x+35y=5100

____________

Add the two equations.

25x=1250

x=50

_____________

Plug in 50 for x into one of the equations to solve for y.

50+y=110

y=60

_____________

50 large boxes

60 small boxes

5 0

3 years ago

Read 2 more answers

Please help!!! Thanks!

Darina [25.2K]

8x+(4*30)=6(6+30)
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2x=60
x=30 pounds of coffee

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3 years ago

Container A has a greater volume than Container B. Each container has a volume between 220 and 240 cubic inches. Use 3.14 for ?.

Yuri [45]

Answer:

220

Step-by-step explanation:

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3 years ago