Answer:
She had $106.
Step-by-step explanation:
2(x+26)=264
Step 1: Simplify both sides of the equation.
2(x+26)=264
(2)(x)+(2)(26)=264(Distribute)
2x+52=264
Step 2: Subtract 52 from both sides.
2x+52−52=264−52
2x=212
Step 3: Divide both sides by 2.
2x/2=212/2
x=106
Answer:
(1.5, 3)
Step-by-step explanation:
Given the 2 equations
2x + 3y = 12 → (1)
y = x + 1.5 → (2)
Substitute y = x + 1. 5 into (1)
2x + 3(x + 1.5) = 12 ← distribute and simplify left side
2x + 3x + 4.5 = 12
5x + 4.5 = 12 ( subtract 4.5 from both sides )
5x = 7.5 ( divide both sides by 5 )
x = 1.5
Substitute x = 1.5 into (2) for corresponding value of y
y = 1.5 + 1.5 = 3
Solution is (1.5, 3)
Answer:
x = 13
Step-by-step explanation:
ΔRST≈ΔYSZ
therefore:
RT/ST = YZ/SZ
(3x-7)/40 = (2x+2)/35
cross-multiply:
40(2x+2) = 35(3x-7)
80x+80 = 105x-245
80 = 25x-245
325 = 25x
325/25 = x
x = 13
P = 10% = 0.1
q = 1 - 0.1 = 0.9
P(at least one defective calculator) = P(1) + P(2) + P(3) + P(4) = 1 - P(0)
The brobability of a binomial distribution is given by

where: n = 4

Therefore,
P(at least one defective calculator) = 1 - 0.6561 = 0.3439