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3 years ago

Evaluate the expression for the given variable. 3-h divided by 4/5; h= 2/3

Mathematics

2 answers:

Dima020 [189]3 years ago

7 0

Answer:

35/12

Step-by-step explanation:

3-2/3/4/5

the lcm of 3 and1

9-2/3/4/5

7/3/4/5

7/3 multiply by 5/4

=7 multiply by 5/ 3 multiply by 4

which is 35/12

dem82 [27]3 years ago

6 0

The answer is 35/12 you’re welcome

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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

a worker A finishes a project on his own in 12 days. the worker completes the same work alone in 16 days. the two workers starte

ankoles [38]

Answer:

Worker B needs 9 days to finish the rest of the work

Step-by-step explanation:

Proportions

Worker A finishes a project on his own in 12 days and worker B does the same in 16 days.

Worker A does 1/12 of the project in one day and worker B does 1/16 of the project in one day. When working together, they do

$\frac{1}{12}+\frac{1}{16}=\frac{7}{48}$

After 3 days they have completed:

$3*\frac{7}{48}=\frac{7}{16}$

parts of the project, this means it still remains:

$1-\frac{7}{16}=\frac{9}{16}$

parts of the project and it is done by B alone. Since B does $\frac{1}{16}$ per day, he now takes

$\displaystyle \frac{\frac{9}{16}}{\frac{1}{16}}=9$

days to complete the project.

Worker B needs 9 days to finish the rest of the work

4 0

3 years ago

Helpppp lol pleaseeeeee

makkiz [27]

Answer: i thinks it's D. none of the above because they are all angles?

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

an aquarium holds 33.75 gallons of water. it has a length of 2 feet and a height of 1.5 feet what is the width of the aquarium

kolezko [41]

33.75 = 2*1.5*x
33.75 = 3x
x = 11.25 feet

6 0

2 years ago

Read 2 more answers

PLS HELP ASAP!!! THANK YOU.

ipn [44]

9514 1404 393

Answer:

rectangular prism: 288 ft³
triangular prism: 72 ft³
total: 360 ft³

Step-by-step explanation:

The volume of a rectangular prism is given by the formula ...

V = LWH . . . . . the product of length, width, height

This rectangular prism has a volume of ...

V = (12 ft)(6 ft)(4 ft) = 288 ft³ . . . . rectangular prism volume

The volume of a triangular prism is found from the formula ...

V = Bh

where B is the area of the triangular base, and h is the height of the prism (distance between the triangular bases). The triangular base area is found from ...

A = 1/2bh . . . . .where b is the base of the triangle, and h is its height.

Here, we have ...

B = 1/2(6 ft)(4 ft) = 12 ft²

V = Bh = (12 ft²)(6 ft) = 72 ft³ . . . . triangular prism volume

The total volume of the given geometry is the sum of the volumes of the parts:

aquarium volume = 288 ft³ +72 ft³ = 360 ft³

3 0

2 years ago