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zhuklara [117]
3 years ago
14

A real estate company is interested in the ages of home buyers. They examined the ages of thousands of home buyers and found tha

t the mean age was 48 years old, with a standard deviation of 9 years. Suppose that these measures are valid for the population of all home buyers. Complete the following statements about the distribution of all ages of home buyers.
(a) According to Chebyshev's theorem, at least of the home buyers' ages lie between 30 years and 66.
(b) (a) According to Chebyshev's theorem, at least of the home buyers' ages lie between 25.5 years and 70.5.
(c) Suppose that the distribution is bell-shaped. According to the empirical rule, approximately of the home buyers' age lie between 30 years and 66.
(d) Suppose that the distribution is bell-shaped. According to the empirical rule, 99.7% of the home buyers' ages lie between years and years.
Mathematics
1 answer:
egoroff_w [7]3 years ago
4 0

Answer:

Between 21 years and 75 years

Step-by-step explanation:

Given that a real estate company is interested in the ages of home buyers. They examined the ages of thousands of home buyers and found that the mean age was 48 years old, with a standard deviation of 9 years.

X the ages of home buyers is N(48, 9)

a) 30\leq x\leq 66\\|x-48|\leq 18\\|x-48|\leq 2\sigma

Hence using Cheby chev inequality

P(|x-48|\leq 2\sigma)\geq 1-\frac{1}{2^2} \\=0.75

b) 25.5\leq x\leq 70.5\\|x-48|\leq 22.5\\|x-48|\leq 1.5\sigma

P(|x-48|\leq 1.5\sigma)\geq 1-\frac{1}{1.5^2} \\=0.556

c) Using normal distribution we have

P(|x-48|\leq 2\sigma)=0.95

d) z value is 2.97

Hence x lies between

(48-9*2.97, 49+9*2.97)\\=(21.27,74.73)

Between 21 years and 75 years

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serious [3.7K]

1. x = a

2. y = b

3. The slope of a vertical line is undefined..

4. Change in y/change in x (m) or rise/run

5. Rewrite the equation in slope-intercept form to find the value of the y-intercept. The value of x will always be 0.

<h3>What is the Equation of a Line?</h3>

The equation, y = mx + b, in slope-intercept form, defines a line, where m is the slope and the y-intercept = b.

1. Slopes of vertical lines are always undefined, therefore, for a vertical line that contains (a, b), the equation would be: x = a.

2. Horizontal lines have a slope of 0, therefore, the equation of a horizontal line that contains the point, (a, b), will  be: y = b.

3. The slope of a vertical line is undefined.

4. Two ways of finding the slope if we are given two points on a line are:

Change in y/change in x (m) = y2 - y1 / x2 - x1

or

rise/run

5. If we have an equation in point-slope form, for example, y - 2 = 2(x - 4), rewrite the equation in slope-intercept form and find the value of the y-intercept:

y - 2 = 2x - 8

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8 0
1 year ago
The circle below is center Ed at O. Decide which length,if any, is definitely the same as the length. a) AD. b) BC. Justify your
Mars2501 [29]

Answer:

Point O is the center of the circle.

<u>Part (a)</u>

\overline{A\:\!F} is a chord.

\overline{OD} is a segment of the radius and is perpendicular to  \overline{A\:\!F}

If a radius is perpendicular to a chord, it bisects the chord (divides the chord into two equal parts).

Therefore, \overline{AD}=\overline{DF}

<u>Part (b)</u>

If \overline{BE} was extended past point E to touch the circumference it would be a chord.

As \overline{OC} is perpendicular to \overline{BE},  it would bisect the chord, but as \overline{BE} is only a portion of a chord, \overline{OC} <u>does not</u> bisect \overline{BE}.

Therefore, there is no length equal to \overline{BC}.

5 0
2 years ago
Emma invested $41,000 in an account paying an interest rate of 2.6% compounded monthly. Assuming no deposits or withdrawals are
kvasek [131]

Answer: it will take 7 years for the value of the account to reach $49,300

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1 + r/n)^nt

Where

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r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = $41000

A = $49300

r = 2.6% = 2.6/100 = 0.026

n = 12 because it was compounded 12 times in a year.

Therefore,

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49300/41000 = (1 + 0.0022)^12t

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Taking log of both sides of the equation, it becomes

Log 1.2024 = 12t × log 1.0022

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t = 0.08/0.0114

t = 7 years

8 0
3 years ago
1. If your final exam counts as 20% of your semester grade in a class, and you have an 88% going into the final, what percent mu
zysi [14]
.8 (88%)+.2x=90%
70.4%+.2x=90%

subtract 70.4% from 90% to get 19.6%
make the .2x into 2 and the 19.6 into 196
divide 196 by 2 to come up with the answer of 98%.
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4 0
3 years ago
Read 2 more answers
PLEASE HELP WILL GIVE BRAINLIEST!
ra1l [238]

Answer:

a

Step-by-step explanation:

6 0
2 years ago
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