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2 years ago

Which two-bedroom will cost the most to rent monthly assume that electric is $50 and gas is $69?

Mathematics

1 answer:

Elan Coil [88]2 years ago

4 0

The answer is B. The Hometown Apts. will cost more than the Downtown Apts. The 2 bedroom in Downtown Apts. has a total monthly rent of $620, electric and gas is already included on this. Meanwhile, the Hometown Apts. has a monthly rent of $515 plus the $50 for electric and gas is $69. The total monthly rent for Hometown Apts. is $634

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A construction company is considering submitting bids for contracts of three different projects. The company estimates that it h

julsineya [31]

Answer:

a. $P(x)=\frac{n!}{x!(n-x)!}*p^{x}*(1-p)^{n-x}\\$

b. $E(x) = 0.3$

c. $S(x)=0.5196$

d. $E=5,000$

Step-by-step explanation:

The probability that the company won x bids follows a binomial distribution because we have n identical and independent experiments with a probability p of success and (1-p) of fail.

So, the PMF of X is equal to:

$P(x)=\frac{n!}{x!(n-x)!}*p^{x}*(1-p)^{n-x}\\$

Where p is 0.1 and it is the chance of winning. Additionally, n is 3 and it is the number of bids. So the PMF of X is:

$P(x)=\frac{3!}{x!(3-x)!}*0.1^{x}*(1-0.1)^{n-x}\\$

For binomial distribution:

$E(x)=np\\S(x)=\sqrt{np(1-p)}$

Therefore, the company can expect to win 0.3 bids and it is calculated as:

$E(x) = np = 3*0.1 = 0.3$

Additionally, the standard deviation of the number of bids won is:

$S(x)=\sqrt{np(1-p)}=\sqrt{3(0.1)(1-0.1)}=0.5196$

Finally, the probability to won 1, 2 or 3 bids is equal to:

$P(1)=\frac{3!}{1!(3-1)!}*0.1^{1}*(1-0.1)^{3-1}=0.243\\P(2)=\frac{3!}{2!(3-2)!}*0.1^{2}*(1-0.1)^{3-2}=0.027\\P(3)=\frac{3!}{3!(3-3)!}*0.1^{3}*(1-0.1)^{3-3}=0.001$

So, the expected profit for the company is equal to:

$E=-10,000+50,000(0.243)+100,000(0.027)+150,000(0.001)\\E=5,000$

Because there is a probability of 0.243 to win one bid and it will produce 50,000 of income, there is a probability of 0.027 to win 2 bids and it will produce 100,000 of income and there is a probability of 0.001 to win 3 bids and it will produce 150,000 of income.

5 0

2 years ago

• Jamie is constructing shipping containers for a sporting goods store. The containers are to be rectangular prisms.

Inga [223]

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4 0

2 years ago

The album The Best of Radiohead, by Radiohead, has a list price of $13.83, and the album The King of Limbs, by Radiohead, has a

neonofarm [45]

Answer:

206 albums The King of Limbs and 34 albums The Best of Radiohead sold

Step-by-step explanation:

Let x be the no. of The album The Best of Radiohead sold .

We are given that total sales of both albums in one week is 240 albums.

So, number of albums The King of Limbs = 240 -x

Cost of 1 album The Best of Radiohead by Radiohead is $13.83

Cost of x album The Best of Radiohead by Radiohead = 13.83x

Cost of 1 album The King of Limbs, by Radiohead= $7.83

Cost of (240-x) album The King of Limbs, by Radiohead=7.83(240-x)

The total cost revenue of both albums in that week is 2083.20

So, 13.83x+7.83(240-x)=2083.20

13.83x+1879.2-7.83x=2083.20

13.83x-7.83x=2083.20-1879.2

6x=204

$x=\frac{204}{6}$

x=34

The no. of The album The Best of Radiohead sold is 34

Number of albums The King of Limbs = 240 -x =240-34=206

Hence 206 albums The King of Limbs and 34 albums The Best of Radiohead sold

6 0

1 year ago

The graph shows the relationship between the number of strawberries eaten and the approximate number of calories consumed. Which

Mandarinka [93]

9514 1404 393

Answer:

Each strawberry contains 4 calories

Step-by-step explanation:

The graph crosses the vertical line for 1 strawberry above the intersection with the horizontal line for 3, so there are more than 3 calories in 1 strawberry. The graph crosses "strawberries = 1" at about "calories = 4", matching the first statement.

Similarly, the graph crosses the vertical line for 4 strawberries above the horizontal line for 15 calories. An estimate of 16 calories for 4 strawberries is consistent with the first statement (4 calories in each strawberry).

The point (6, 24) is on the graph, but it means (6 strawberries, 24 calories), not the other way around.

The appropriate choice is ...

Each strawberry contains 4 calories

5 0

1 year ago

Read 2 more answers

A piece of ribbon is cut into two shorter pieces in the ratio 2.8:1.25. The divfference in the length of the two shorter pieces

MariettaO [177]

Answer:

210.6 cm

Step-by-step explanation:

Given that a piece of ribbon is cut into two shorter pieces in the ratio 2.8:1.25.

So that means length of the first smaller piece = 2.8x

and length of the second smaller piece = 1.25x

Then difference between their lengths = 2.8x-1.25x = 1.55x

Given that difference is equal to 80.6 centimeters then we get

1.55x=80.6

or x= 80.6/1.55

or x=52

then length of the original piece = 2.8x+1.25x

= 2.8*52+1.25*52

= 145.6+65

= 210.6 cm

6 0

1 year ago