Answer:
a. 5.33 × 10⁻⁴ b. 4.568 × 10⁻³
Step-by-step explanation:
a. This situation represents a binomial probability. Let p = probability that tire is defective = 1% = 0.01, then q = probability that tire is not defective = 1 - p = 1 - 0.01 = 0.99 = 99%.
Since there are 750 tires, the probablility that no tire is defective is P = ⁷⁵⁰C₀q⁷⁵⁰p⁰
= (1) (0.99)⁷⁵⁰(0.01)⁰
= 5.33 × 10⁻⁴
b. The probability that less than two tires will be defective P'
So, P' = ⁷⁵⁰C₀q⁷⁵⁰p⁰ + ⁷⁵⁰C₁q⁷⁴⁹p¹
= (1) (0.99)⁷⁵⁰(0.01)⁰ + (750)(0.99)⁷⁴⁹(0.01)¹
= 5.33 × 10⁻⁴ + 0.004035
= 45.68 × 10⁻⁴
= 4.568 × 10⁻³
First year the interest will be 6% x 8000= $480
second year the interest will be 6% x 8480= $508.80
third year the interest will be 6% x 8988.80=$539. 33
fourth year the interest will be 6% x 9528.13=$571. 69
the total amount that matthew's bank will receive is 8,000+480+508.80+539.33+571.69=$10,099.82
Answer:
Step-by-step explanation:
Remark
When a quadrilateral is inscribed in a circle, the opposite angles are supplementary. x is opposite 112 degrees. Therefore x and 112 add up to 180 degrees.
Formula
x + 112 = 180 Subtract 112 from both sides.
Solution
x + 112-112 = 180 - 112
x = 68
Answer
x = 68
Answer:
y = 2x + 1
Step-by-step explanation:
The intercept is the point where the line touches the y axis. The slope is determined by calculating the rise divided by run.