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Setler79 [48]
2 years ago
10

what is the surface area of a triangular prism where the base area is 25 m2 (metre square) , the base perimeter is 24 m and the

length is 12 m ​
Business
1 answer:
mixas84 [53]2 years ago
7 0

Answer:

SA = 338m²

Explanation:

Write down given values.

A = 25m²

P = 24m

L = 12m

Solve:

SA = (2×A) + (P×L)

= (2×25) + (24×12)

= 50 + 28

SA = 338m²

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Answer:

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3 years ago
A Food Marketing Institute found that 52% of households spend more than $125 a week on groceries. Assume the population proporti
kkurt [141]

Answer:

P(p>0.38) = P(z>-2.79)

And using the complement rule we got:

P(p>0.38) = P(z>-2.79)=1-P(Z

Explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

Solution to the problem

For this case wwe know that p = 0.52 and n = 99 and we can check if we can use the normal approximation for the proportion distribution.

np= 99*0.52= 51.48>10

n(1-p) =99*(1-0.52) = 47.52>10

So then we can use the normal approximation.

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})

The mean is given by:

\mu_{p} = 0.52

And the standard error is given by:

\sigma_{p} = \sqrt{\frac{0.52*(1-0.52)}{99}}= 0.0502

We want to calculate this probability:

P(p >0.38)

And for this case we can calculate the z score given by:

z = \frac{p \mu_p}{\sigma_p}

And replacing we got:

z=\frac{0.38-0.52}{0.0502} = -2.79

And using this formula:

P(p>0.38) = P(z>-2.79)

And using the complement rule we got:

P(p>0.38) = P(z>-2.79)=1-P(Z

4 0
4 years ago
4. the interest is computed on the principal and also on the accumulated past interests.
torisob [31]

Answer:

d. compound interest​

Explanation:

Compound interest basically means that previously earned interests will earn interests on their own. For example, you invest $100 and receive a 5% yield. At the end of year 1 you will have $105. At the end of year 2 you will have $105 x 1.05 = $110.25. The $5 in interests previously earned during year 1 will earn $0.25 interest during year 2.

8 0
3 years ago
Consider a firm with a contract to sell an asset for $138,000 five years from now. the asset costs $74,000 to produce today. giv
shepuryov [24]

The cost to produce today = 74000

At a discount of 12%, the future value of costs in 5 years = PV*(1+r)^n where PV = 74000, r= 12% = 0.12 and n = 5 years = 5

The value of costs in 5 years = 74000*(1+0.12)^5

The value of costs in 5 years = 74000*1.12^5

The value of costs in 5 years 130,413.28

Price in 5 years = 138,000

Profit = 138,000-130,413.28 =  7,586.72

The profit the firm will make on this asset (considering time value of money) = $7,586.72

6 0
4 years ago
Amy, Brooke, and Chelsea live in Minneapolis. Amy's demand for bike paths, a public good, is given by Q=24-4P. Brooke's demand i
Slav-nsk [51]

Answer

The answer and procedures of the exercise are attached in the following archives.

Explanation  

You will find the procedures, formulas or necessary explanations in the archive attached below. If you have any question ask and I will aclare your doubts kindly.  

8 0
3 years ago
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