Answer:
Width=4, and Length=17
Step-by-step explanation:
first you will make a variable for the width which i will say is x
now make it an equation (3x+5) (x) = 68
then solve 3x^2+5x=68
then 3x^2+5x-68=0
then x=4
then you have to substitute so 3(4)+5= 17 and 4
Answer: 0.49
Step-by-step explanation:
The mean= E[x]=1/l= 7.5 min
l=1/7.5 =10/75=2/15
The exponential distribution's probability density function is looking like that:
F(x)= l*e^(-l*x) = 2/15*e^(-2*x/15)
P(0<x<5)= e^(-0*2/15)- e^(-5*2/15)=1- e^(-2/3)= approx 0.49
Answer:
The likelihood that the professor's socks matched his pants on both days is 0.5625
Step-by-step explanation:
Total no. of pair of socks = 24
No. of black pairs = 18
We are given that he selects one pair of socks on Monday and one on Tuesday. Since he has lots of clean socks in the drawer he does not do laundry.
So, It is a case of replacement
He always wears black pants.
We are supposed to find he likelihood that the professor's socks matched his pants on both days i.e. Black socks both days.
So ,Probability of wearing black socks on Monday = 
So ,Probability of wearing black socks on Tuesday =
So,the likelihood that the professor's socks matched his pants on both days = 
Hence the likelihood that the professor's socks matched his pants on both days is 0.5625
Answer:
Polynomials are closed under addition. When subtracting polynomials, the variables and their exponents do not change. Only their coefficients will possibly change. This guarantees that the difference has variables and exponents which are already classified as belonging to polynomials.
Step-by-step explanation:
Answer:
(f-g)(x) = x-3
Step-by-step explanation:
f(x)=3x-2
g(x)=2x+1
(f-g)(x)= 3x-2 - ( 2x+1)
Distribute the minus sign
3x -2 -2x -1
Combine like terms
x-3
