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IrinaVladis [17]
3 years ago
9

In an article about disinflation, various investments were examined. The investments included stocks, bonds, and real estate. Su

ppose that a random sample of 200 rates of return on real estate investments was computed and recorded. Assuming that the standard deviation of all rates of return on real estate investments is 2.25%, estimate an interval for the mean rate of return on all real estate investments with 95% confidence
Interpret the estimate.
Mathematics
1 answer:
kykrilka [37]3 years ago
3 0

Answer:

Step-by-step explanation:

Using the formula for calculating the confidence interval to estimate an interval for the mean rate of return on all real estate investments with 95% confidence;

Confidence Interval = xbar±(Z*S/√n)

xbar is the mean = 20%(assumed since we are not given)

n is the sample size = 200

S is the standard deviation = 2.25%

Z is the Z score at 95% confidence interval = 1.960

Confidence Interval = 20±(1.96*2.25/√200)

Confidence Interval = 20±(1.96*2.25/14.14)

Confidence Interval = 20±(1.96*0.159)

Confidence Interval = 20±0.312

Confidence Interval = (20-0.312, 20+0.312)

Confidence Interval = (19.688, 20.312)

Hence the interval for the mean rate of return on all real estate investments with 95% confidence is 19.688<x<20.312.

This means that the minimum rate of return on investment is 19.688% and the maximum rate of return on investment is 20.312%.(assuming 20% as the mean)

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If the length of JK is 3x and the length of LM is 12x and the length of the entire line JM is 25x , find the length of KL.
Leona [35]

Answer:

10x.

Step-by-step explanation:

It is given that,

JK = 3x

LM = 12x

JM = 25x

Let as consider the line as shown in the below figure.

From the figure it is clear that,

JK+KL+LM=JM

3x+KL+12x=25x

KL+15x=25x

KL=25x-15x

KL=10x

Therefore, the length of KL is 10x.

6 0
2 years ago
I need help on this loll
Serhud [2]

Answer: The translation rule that maps point D ( 7 , − 3 ) onto point D ' ( 2 , 5 )

is (x , y) → (x - 5 , y + 8)

Step-by-step explanation:

Let us revise the translation

If the point (x , y) translated horizontally to the right by h units  then its image is (x + h , y)

If the point (x , y) translated horizontally to the left by h units  then its image is (x - h , y)

If the point (x , y) translated vertically up by k units  then its image is (x , y + k)

If the point (x , y) translated vertically down by k units  then its image is (x , y - k)

(x , y) → (x ± h , y ± k) the right arrow symbol used to show the

translation from a point to its image

Example:

∵ P (0 , 0) → P' (1 , 2)

∴ The rule is (x , y) → (x + 1 , y + 2)

Let us find the translation rule that maps point D ( 7 , − 3 ) onto

point D' (2 , 5)

∵ Point (x , y) = (7 , -3)

∵ Its image after translation (x + h , y + k) = (2 , 5)

∴ x + h = 2

∵ x = 7

∴ 7 + h = 2

- Subtract 7 from both sides

∴ h = -5

∵ y + k = 5

∵ y = -3

∴ -3 + k = 5

- Add 3 to both sides

∴ k = 8

∴ The rule of translation is (x , y) → (x - 5 , y + 8)

The translation rule that maps point D ( 7 , − 3 ) onto point D ' ( 2 , 5 )

is (x , y) → (x - 5 , y + 8)

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2 years ago
PLEASE HELP!!<br><br> Only answer if you're absolutely correct, please and thank you.
Elis [28]

Answer:

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Step-by-step explanation:

8 0
1 year ago
Marcus has hired 3 people to help him with his lawn business. He pays all the same, and he pays them every day. He paid $360 to
deff fn [24]

Hi!

If they each got the same, then they each got 1/3 of the total $360. Therefore, we can divide 360 by 3. We can do this by dividing 36 by 3, 36/3, and that's 12. Then add the 0! 120.

Your sentence could be: "The amount of money each worker got can be represented by 360/3, which is $120."

Hope this helps! :D

3 0
2 years ago
Read 2 more answers
Area of regular polygons
Finger [1]
Hello!

To find the area of a hexagon you do 3\frac{3 \sqrt{3} }{2} } a^{2} where a is one of the sides

Since the perimeter is 60 we can do 60/ the sides of the shape

60/6 = 10

So one side is equal to 10

you put that into the formula to get the area of a hexagon and you get 259.81

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