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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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The question is on the picture
Rufina [12.5K]

Answer: 68

Step-by-step explanation:

By the inscribed angle theorem, arc BA measures twice of 34 degrees, which is 68 degrees.

8 0
2 years ago
The function f(x) varies inversely with x and f(x)=2 when x = 16.<br><br> What is f(x) when x = 4?
andrew-mc [135]

Answer: The correct answer is:  [D]:  "8" .

Step-by-step explanation:f y varies inversely with x;  then y = k/x ; with "k" being the "constant" in this equation.  

You can find the constant by substituting the values given: x = 16,  f(x) = y = 2 ;

So, f(x) = y = 2  = k/16 ;

→  2 = k / 16 ;

Solve for the constant; "k" ;

Multiply EACH SIDE of the equation by "16"

→  16* (2) = (k / 16) * 16 ;

→  32 = k ;

 ↔  k = 32 ;  

As such, we can write the equation:

y = k/ x ; as:

→  y = 32/ x ;

Since we are given:  "x = 4" ;  Plug in that value; and solve for "y" ;

y = 32/4 = 8 .

y = 8 .

y = f(x) ;

So;  f(x) = 8 ;  which is:  Answer choice:  [D]:  "8" .

8 0
3 years ago
Help me please !!!!!!!
KATRIN_1 [288]

Answer:

m<ACB = 107*

Step-by-step explanation:

First we have to find the angle of m<CEB.

We know that the value of that angle plus m<CEP equals a total of 180, so we subtract the value that we have (147*) from 180 and we get 33*.

33* Is also the value of m<CAB.

33+40 = 43. 180-43 = 107.

7 0
2 years ago
I conclude from the information given that he is just very lucky. I believe he is lucky, because it is very hard to perform tric
VikaD [51]

Answer:

I believe that the owner of the dice is actually not lucky. There are people who practice throwing dice in a controlled way in order to get a specific side of the dice. If he practices his dice throwing a lot, then he would have a much higher chance of winning at a game of dice.

Step-by-step explanation:

Since you said he was lucky, I decided to make an answer saying that he wasn't lucky so you can choose between both of them. Your answer was good as well.

7 0
2 years ago
Please help. i not smart
____ [38]

Answer:

It is hard to see the numbers.

But I am pretty sure it is 6x+6.

Step-by-step explanation:

Hope this helps! :D

4 0
2 years ago
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