Amount borrowed, P = 13000
Interest, i = 0.07/12 per month
number of periods (months), n = 4*12 = 48
Monthly payment,
=
311.30 (to the nearest cent)
Answer:
a) P(Y > 76) = 0.0122
b) i) P(both of them will be more than 76 inches tall) = 0.00015
ii) P(Y > 76) = 0.0007
Step-by-step explanation:
Given - The heights of men in a certain population follow a normal distribution with mean 69.7 inches and standard deviation 2.8 inches.
To find - (a) If a man is chosen at random from the population, find
the probability that he will be more than 76 inches tall.
(b) If two men are chosen at random from the population, find
the probability that
(i) both of them will be more than 76 inches tall;
(ii) their mean height will be more than 76 inches.
Proof -
a)
P(Y > 76) = P(Y - mean > 76 - mean)
= P( 
) > 
)
= P(Z > )
= P(Z > 
)
= P(Z > 2.25)
= 1 - P(Z ≤ 2.25)
= 0.0122
⇒P(Y > 76) = 0.0122
b)
(i)
P(both of them will be more than 76 inches tall) = (0.0122)²
= 0.00015
⇒P(both of them will be more than 76 inches tall) = 0.00015
(ii)
Given that,
Mean = 69.7,
= 1.979899,
Now,
P(Y > 76) = P(Y - mean > 76 - mean)
= P( 
)) > 
)
= P(Z > )
= P(Z > 
))
= P(Z > 3.182)
= 1 - P(Z ≤ 3.182)
= 0.0007
⇒P(Y > 76) = 0.0007
Answer:
The number of teenagers in the stratified sample of equal proportion is 30 teenagers
Step-by-step explanation:
Whereby tickets are sold to only adults male and female and teenagers, boys and girls, we have the following groups
Group 1: Female adult
Group 2: Male adult
Group 3: Teenage boys
Group 4: Teenage girls
In stratified sampling, the types of people that visit the zoo (which is the target population) are identified and the appropriate proportion of each of the identified types is determined such that the sample is representative of the population
Where equal number of each group are observed to have visited the zoo, then, the appropriate sample size of the teenager is found as follows;
Number of groups identified = 4
Sample size = 30
Appropriate proportion of each group = 1/4
Number of teenage boys in the sample = 1/4×30 = 15
Number of teenage girls in the sample = 1/4×30 = 15
Total number of teenagers in the sample = 15 + 15 = 30 teenagers.
Answer:
It would be A,B
Step-by-step explanation:
Answer:
loudness of a jack hammer .004 loudness of a compactor .0025
Step-by-step explanation:
Because edge
