Actually Welcome to the Concept of the Mathematics, this is called as function inside another function, just we have replace the condition of x here,
1)g(f(4)) = here, f(4) = 4-7= -3
so now, g(-3) = (-3)^2 =9
g(f(4)) = 9
2) f(g(4)) = 16-7 = 9
f(g(4))= 9
3) g(f(-1)) = 64
4) f(g(-1)) = -6
done.
Answer:
- 120p^2 + 34p - 3
Step-by-step explanation:
You need to make sure you SIMPLIFY.
Step-by-step explanation:
a. The random variable is a binomial distribution.
b. the sample space, X = {0, 1, 2, 3, 4, 5}
the pmf
we solve for this using
nCx * P^x * (1-p)^n-x
n = 5
p = 0.3
for x = 0
5C0 * 0.3⁰(1-0.3)^5-0
= 1 * 1* 0.7⁵
= 0.16807
for x = 1
5C1*0.3¹(1-0.3)^5-1
= 5*0.3(0.7)⁴
= 5x0.3x0.2401
= 0.36015
for x = 2
5C2 * 0.3² * (1-0.3) ^5-2
= 0.30870
for x = 3
5C3 * 0.3³ * (1-0.3) ^ 5-3
= 10 * 0.027 * 0.7²
= 0.1323
for x = 4
5C4 * 0.3⁴ (1-0.3) ^ 5-4
= 5 * 0.0081 * 0.7
= 0.02835
for x = 5
5C5 *0.3⁵ (1- 0.3) ^5-5
= 1*0.00243*0,7⁰
= 0.00243
c. E[X] = N*p = 5*0.3 = 1.5
var[X] = np(1-p) = 5*0.3*0.7 = 1.05
d. 20/9 = 2.222
so we have that if x is greater than or equal to 3, cost will exceed 20
p(x=3) + p(x=4) + p(x=5)
= 0.1323 + 0.02835 + 0.00243
probability = 0.16308
E[C] = 1.5 * 9 = 13.5
VAR[C] = 1.05 * 9 = 9.45
Slope is x
intrepret is 4/9
<span>gcf(48,56) = 8
</span><span>The factors of 48 are 48, 24, 16, 12, 8, 6, 4, 3, 2, 1
</span><span>The factors of 56 are 56, 28, 14, 8, 7, 4, 2, 1
</span>The matching factors for 48 and 56 are 1, 2, 4, and 8.