Let x be the lengths of the steel rods and X ~ N (108.7, 0.6)
To get the probability of less than 109.1 cm, the solution is computed by:
z (109.1) = (X-mean)/standard dev
= 109.1 – 108/ 0.6
= 1.1/0.6
=1.83333, look this up in the z table.
P(x < 109.1) = P(z < 1.8333) = 0.97 or 97%
12 | 3*4=12 therefor any number that is divisible by 3 and 4 is also divisible by 12
Answer:
$512.5
Step-by-step explanation:
Given data
P= $500
R=2.5%
T= 1 year
The compound interest formula is
A=P(1+r)^t
substitute
A=500(1+0.025)^1
A=500(1.025)
A=500*1.025
A=$512.5
Hence the balance is $512.5
a) If f(y) is a probability density function, then both f(y) ≥ 0 for all y in its support, and the integral of f(y) over its entire support should be 1. eˣ > 0 for all real x, so the first condition is met. We have
so both conditions are met and f(y) is indeed a PDF.
b) The probability P(Y > 4) is given by the integral,
c) The mean is given by the integral,
Integrate by parts, with
Then
Answer: i think 300
Step-by-step explanation: i divided 240 by 4 and got 60 then multiplied 60X5=300
