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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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PLEASE HELP!!!
tatyana61 [14]

Answer: The equation is y= -2x -4

Step-by-step explanation:

The slope intercept form is like y=mx+b so we know the slope which is m but we just need to find the y intercept.

and we will use the given coordinates to find the y intercept by putting in the x and y coordinates into the formula y=mx + b

-6= -2(1) + b

-6= -2 + b

+2  +2

b= -4

5 0
2 years ago
How much cheaper per ounce is purchasing 7 ounces for $7.84 compared to purchasing 5 ounces for $5.70
WARRIOR [948]
7.84/7 = $1.12
5.70/5 = $1.14
1.14 - 1.12 = .2
2 cents cheaper
7 0
2 years ago
Find the angle made by the x axis and the terminal side resulting from connecting the origin to (5,7), rounded to the nearest in
prohojiy [21]
<h2>Answer:</h2>

55°

<h2> Step-by-step explanation:</h2>

To solve this, follow these steps:

i. <em>Make a sketch of the problem</em>.

The sketch has been attached to this response.

ii. <em>Label the sketch properly</em>

As shown in the sketch, θ is the angle between the x-axis and the terminal side resulting from connecting the origin to (5,7).

iii. <em>Solve using the tangent trigonometric ratio</em>

With the proper sketch and labelling, a right triangle is formed with the adjacent and opposite sides to the angle being  5 units and 7 units respectively.

Using the tangent formula,

tan θ = opposite / adjacent

tan θ = 7 / 5

θ = tan⁻¹ (7/5)

θ = tan⁻¹ (1.4)

θ = 54.46

θ = 55° to the nearest integer.

Therefore, the angle  made by the x axis and the terminal side resulting from connecting the origin to (5,7), rounded to the nearest integer is 55°

3 0
2 years ago
A table and 8 chairs weigh 235.68 lb together. If the table weighs 157.84 lb, what is the weight of one chair in pounds?
Alona [7]

Answer: 9.73 lb each chair

Step-by-step explanation:

You substract the weight of the table alone from the full weight:

235.68 - 157.84=77.84

Then you divide 77.84 by 8 chairs and you obtain the weight of each individual chair

77.84/8= 9.73 the weight of each individual chair

7 0
3 years ago
Read 2 more answers
This table shows the weekly rainfall, in inches, for two cities for ten weeks.
jeka94
To determine the correct answer, you will need to find the ranges, means, medians, and mode of City B.  You can compare the answers then to answer the question.  Please see the attached picture for the necessary information.

The correct choice is the first statement about the mode for City B.

3 0
3 years ago
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