Answer:
Step-by-step explanation:
7*(7 + x+1) = 6*(x + 5 + 6) {Intersecting secant theorem}
7 *(x + 8) = 6*(x + 11)
Distributive property,
7x + 56 = 6x + 66
Subtract 56 from both sides
7x = 6x + 66 - 56
7x = 6x + 10
Subtract 6x from both sides
7x - 6x = 10
x = 10
Answer:
Step-by-step explanation:
Given
Let
A = Event of being a universal donor.
So:
Solving (a): Mean and Standard deviation.
The mean is:
The standard deviation is:
Solving (b): P(x = 3)
The event is a binomial event an dthe probability is calculated as:
So, we have:
Answer: Marc still owes $175
Step-by-step explanation:
Let x represent the cost of the rug.
Marc ordered a rug and gave a deposit of 30% of the cost and will pay the rest when the rug is delivered. This means that the amount of money that he deposited
for the rug is
30/100 × x = 0.3 × x = 0.3x
If the deposit was $75, it means that
0.3x = 75
x = 75/0.3 = 250
The cost of the rug is $250
The amount that Marc still owes would be
250 - 75 = $175
Answer:
x≈ 3.2056
Step-by-step explanation:
Set both sides by log. Then, solve for x.
1. 14^(x + 1) = 36
(x + 1)log(14) = log(36)
x + 1 = log(36)/log(14) . . . Divide both sides by log(14)
x = log(36)/log(14) - 1 . . . . Subtract both sides by 1.
x ≈ 0.3579 . . . . . . . . . . . .Use calculator to simplify the expression.
Note that the second problem is similar to the first.
2. 12^(y - 2) = 20
(y - 2)log(12) = log(20)
y - 2 = log(20)/log(12)
y = log(20)/log(12) + 2
y ≈ 3.2056
