Answer: x = 1/2
Step-by-step explanation:
4x - 2x - 4 + 3
2x - 1
x = 1/2
Answer:
0.16807 ; 0.83193
Step-by-step explanation:
Given that:
Number of trials, n = 5
Probability of success, p = 0.30
P(r = 0)
Using the binomial probability relation :
P(x =r) = nCr * p^r * (1 - p)^(n - r)
(a) Find P(r = 0).
P(r = 0) = 5C0 * 0.3^0 * (0.7)^(5- 0)
= 1 * 1 * 0.16807
= 0.16807
(b) Find P(r ≥ 1) by using the complement rule
P(r ≥ 1) = 1 - P(r = 0)
P(r ≥ 1) = 1 - 0.16807
P(r ≥ 1) = 0.83193
Answer:
The width of the piece is 11 inches
Step-by-step explanation:
Let
x ----> the length of the rectangular piece of aluminum in inches
y ----> the width of the rectangular piece of aluminum in inches
we know that
The perimeter of the rectangular piece of aluminum is equal to

we have

so

simplify
----> equation A
----> equation B
Solve the system by substitution
substitute equation B in equation A
solve for y
therefore
The width of the piece is 11 inches
Answer:
12x the second -12x -16
Step-by-step explanation:
Solving systems of equations with 3 variables is very similar
2x3(S-+7)=6xS=7............