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vredina [299]
3 years ago
13

San Francisco is one of the most expensive cities in which to live in the United States. As of February 2013, the mean rent for

a one-bedroom apartment in the Mission District was $2600.6 Assume that the distribution of rents is approximately normal and the standard deviation is $200. A one-bedroom apartment in the Mission District is selected at random. (a) Find the probability (±0.0001) that the rent is less than $2470. P(X<2470) =
(b) Find the probability (±0.0001)that the rent is between $2560 and $2640. P(2560⩽X⩽2640) =

(c) Find a rent r (±0.01) such that 90% of all rents are less than r dollars per month. r =

Mathematics
1 answer:
kramer3 years ago
6 0

Answer:

a) 0.2569 or 25.69%

b) 0.1585 or 15.85%

c) $2,856.91

Step-by-step explanation:

a)  

Here we want to calculate the area between 0 and 2,470 (since no rent is negative) under the Normal curve of mean 2,600.6 and standard deviation 200.

We can do this easily with a spreadsheet and we get that the probability is <em>0.2569 or 25.69%</em> (See picture 1)

b)

Now we look for the area under the curve between 2,560 and 2,640 which is <em>0.1585 or 15.85%</em> (See picture 2)

c)

Here we are looking for a value r such that the area under the curve to the left of r is 90%=0.9.

Again, using the computer we find that value is <em>r= $2,856.91 </em>

(See picture 3)

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What value of 0 makes sin0=cos60 a true statement?
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Answer:

A

Step-by-step explanation:

Using the co function identity

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sin30° = cos60°

4 0
3 years ago
Find the missing length. The triangles in each pair are similar.
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2 years ago
a chef is going to use a mixture of two brands of Italian dressing. The first brand contains 5% vinegar and the second Brian con
tankabanditka [31]

Answer:

  • 273 mL of 5%
  • 117 mL of 15%

Step-by-step explanation:

Let q represent the quantity of 15% dressing used. Then the amount of 5% dressing is (390 -q). The amount of vinegar in the mix is ...

  0.15q + 0.05(390 -q) = 0.08(390)

  0.10q = 31.2 -19.5 = 11.7 . . . . . . subtract 0.05(390) and simplify

  q = 117 . . . . . . . . . . . . . . . . . . multiply by 10

  390-q = 273

The chef should use 273 mL of the first brand (5% vinegar) and 117 mL of the second brand (15% vinegar).

__

<em>Additional comment</em>

You may have noticed that the value of q is (0.08 -0.05)/(0.10 -0.05)×390. The fraction of the mix that is the highest contributor is the ratio of the difference between the mix value and least contributor, divided by the difference between the contributors: (8-5)/(15-5) = 3/10, the fraction that is 15% vinegar. This is the generic solution to mixture problems.

7 0
3 years ago
The graph shows the relationship between hours worked and total earnings for a store clerk. Let h represent hours worked and e r
Dovator [93]

Answer:

The answer is C.

Step-by-step explanation:

y = kx → e =

30

4

h → e = 7.5h

The independent variable is hours worked, h, and the dependent variable is total earnings, e. The independent variable is the input value of a function. The dependent variable is the output value of a function.

8 0
3 years ago
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