(a) We need to figure out the deciles for a normal distribution curve in this part.
In order to do so, we need to find the z score corresponding to probability 0.10 and 0.90 on the normal distribution curve.
Upon looking at the normal distribution table, we can see that the probability P = 0.10 corresponds to a z score of -1.28 and probability P = 0.90 corresponds to a z score of 1.28.
Therefore, deciles are -1.28 and 1.28 for a normal distribution curve.
(b) In this part, we are given that mean height is 69.5 inches and standard deviation in height is 2.7 inches. Therefore, we can find the deciles using the z score formula as shown below:
Therefore, the required deciles are 66.044 and 72.956
By pythagorean theorem
a^2+b^2=c^2
We can find that PL is 12.65
and then by altitude theorem
MA*LA=PA^2
we can find the value of MA
12MA=16
MA=1.33
then by the pythagorean theorem
we can use to find PM
MA^2+PA^2=PM^2
so PM=4.22
then to find the are you multiply length by width
PM*PL
12.65*4.22
So the area is 53.38
Answer:
(C) No, since 0.47 is not equal to 0.13.
Step-by-step explanation:
We have two events, A and B.
I am going to say that P(A) is the probability that a president is left-handed.
I am going to say that P(B) is the probability that a president is a Democrat.
P(B/A) is the probability that the probability that the president is a Democrat, given that he is left-handed.
If P(B/A) = P(A), then the events are independent.
In this problem, we have that P(B/A) = 0.13 and P(A) = 0.47. So, "being left-handed" is not independent of "being a Democrat" and the correct answer is
(C) No, since 0.47 is not equal to 0.13.
Answer:
y = 0.15x+77 is the equation linear connecting total cost y and miles driven x
Step-by-step explanation:
Given that the leasing company charged a flat rental fee for the week, plus a charge for each mile driven.
Let flat rental fee be c and cost per mile driven = m and miles driven = x
Total cost =y
Then y = mx+C is the linear equation.
to find m and c, we use the fact that y =110.30 when x = 222
i.e. 110.30 = c+222x
and similarly 99.05 = c+147x
Subtract to eliminate c
11.25 = 75 x
0.15 =x
Substitute in I equation
110.30 = c+222(0.15)
c = 77
y = 0.15x+77 is the equation linear connecting total cost y and miles driven x
