1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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

You might be interested in
Jamaal bounces on a trampoline. His height, as a function of time, is modeled by y = -6x2 + 20x +4
kykrilka [37]

Answer: The function is no linear

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Keely scored 128 points, which was 4 times as many points as Grayson scored. Which equation can be used to find the number of po
Ludmilka [50]

Answer:

32

Step-by-step explanation:

take 128 divide by 4

4 0
2 years ago
Usematlab "fzero"function to find thezeros ofthefollowingfunctions in the given domaincomputethefollowings:
Katen [24]
What are the instructions or equations to use
4 0
3 years ago
Sarah has two similar rectangular boxes. The dimensions of Box 1 are four times those of Box 2.
Elena-2011 [213]

Answer: 16

Step-by-step explanation:

an area is always calculated by multiplying 2 dimensions.

when changing the dimensions, then the change factors for EACH dimension go into the calculation too.

therefore, when both dimensions of an area are enlarged 4 times, then the area is enlarged 4×4 = 16 times.

this just propagates to the whole surface area of an object, as each individual area of the overall surface area is enlarged by the same factor. and so, the sum of all the individual areas (= altogether the surface area of the object) is also enlarged in total by the same factor.

just think

16×a + 16×b + 16×c ... = 16×(a+b+c+...)

4 0
2 years ago
Read 2 more answers
PLEASE HELP ME ON THIS QUESTION IVE BEEN STUCK ON IT FOR 10 MINUTES!!!!!
horsena [70]

Answer:

Step-by-step explanation:

PLEASE MARK BRAINLIEST

4 0
2 years ago
Other questions:
  • A: 2x + 8y = 5 B: x + 9y = 10
    13·1 answer
  • Let K be the set of real numbers greater than or equal to twelve
    7·1 answer
  • What is 10 times 3 in standard form
    10·2 answers
  • What is 2/5 plus 1/3
    15·1 answer
  • The deck of a card game is made up of 108 cards. Twenty-five each are red, yellow, blue, and green, and eight are wild cards. Ea
    13·1 answer
  • Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator.
    6·1 answer
  • James m
    5·2 answers
  • X + 6<br> for<br> &lt;1<br> f(x) =<br> -5<br> for<br> X = 19<br> X + 4<br> for<br> Find f(1)
    13·1 answer
  • How to find the pair solution to the equation
    15·1 answer
  • You need to buy new soil for your garden. Find the area of the garden. Use the dimensions shown in the picture.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!