Ratio of width to length: W/L = 3/5
5W = 3L .........(a)
Perimeter = 2*(L+W) = 80
2*(L+W) = 80
(L+W) = 80/2. Divide both sides by 2.
L+W= 40......(b)
5W = 3L
L + W = 40 Multiply both sides by 5.
5*(L+W) = 5*40
5L+5W = 200. Recall from (a) 5W = 3L
5L + 3L = 200
8L = 200
L = 200/8
L = 25.
5W = 3L
5W = 3*25
W = 3*25/5
W = 15.
Therefore, the length, L = 25 and width , W = 15.
Answer:
Correct option: (C) The 75th percentile is approximately 0.67
Step-by-step explanation:
The <em>p</em>th percentile is a data value such that at least <em>p</em>% of the data set is less than or equal to this data value and at least (100 - <em>p</em>)% of the data set are more than or equal to this data value.
If <em>x</em> is the <em>p</em>th percentile of a data set then,
P (X < x) = p/100
If
then
, is a standard normal variate with mean, E (Z) = 0 and Var (Z) = 1. That is,
.
- The 90th percentile of a standard normal distribution is:
P (Z < z) = 0.90, then <em>z</em> = 1.28
- The 10th percentile of a standard normal distribution is:
P (Z < z) = 0.10, then <em>z</em> = -1.28
- The 75th percentile of a standard normal distribution is:
P (Z < z) = 0.75, then <em>z</em> = 0.67
- The 15th percentile of a standard normal distribution is:
P (Z < z) = 0.15, then <em>z</em> = -1.04
Thus, the correct statement is (C).
Answer:
The answer is k=77
Step-by-step explanation:
It is given that n is an integer and greater than 2. Let us simplify k = (n + 2)(n – 2) to k=n^2-4.
In (1) it is stated that k is the product of two primes and in (2) it is stated that k<100. To solve the question we need to consider both cases (1) and (2).
Let say n=9 then k=n^2-4 becomes k=81-4=77. Well, 77 is the product of two prime numbers 7 and 11 (77=7*11). The answer is k=77
Answer:
Step-by-step explanation:
Given that you choose at random a real number X from the interval [2, 10].
a) Since this is a contnuous interval with all number in between equally likely
E = probability for choosing a real number is U(2,10)
pdf of E is 
b) P(X>5) = 

For

P(X<5 or x>7) = 1-P(5<x<7)
= 
Answer:
it would be 14
radius=diameter÷2=38÷2=14