Answer:
x=12
Step-by-step explanation:
f(x)=16x-30 and g(x)=14x-6
(f-g)(x)=0
f(x)=16x-30 -(14x-6)
Distribute
= 16x -30 -14x +6
Combine like terms
= 16x-14x -30+6
2x-24
Set this equal to zero
2x-24 =0
Add 24 to each side
2x-24 +24=0+24
2x=24
Divide by 2
2x/2 =24/2
x = 12
There's 10 letters of which one (E) is repeated so then the of permutations is 10!/2!. *exclamation points stands for the factor*
Health Sciences or Teacher Prep?
Answers are B, C & E.
Answer:
0.551
Step-by-step explanation:
Let no. of people who take discount = x
Using binomial distribution, N c X. p^x. q^(n-x)
p : customer getting discount = 0.3, q : customer not getting discount = 0.7 n : no. of customers = 8
Probability that x < 3 : Prob (x=0) + Prob (x=1) + Prob (x=2)
= 8 c 0. (0.3)^0 . (0.7)^8 + 8 c 1. (0.3)^1 . (0.7)^7 + 8 c 2. (0.3)^2 . (0.7)^6
0.05764801 + 0.19765032 + 0.29647548
0.551