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
Hello!
Before finding the diameter, we need to know the formula for the volume of cylinder. The volume of cylinder is found by using this formula: V = πr²h. In this formula, r is the radius and h is the height.
Since we have the height and volume, we need to find the radius, and then we can find the diameter.
900 = πr²(20) (divide both sides by 20)
45 = πr² (divide both sides by π)
45/π = r² (take the square root of both sides)
r ≈ 3.784 | The radius of the cylinder is equal to about 3.784 centimeters.
To find the diameter, we need to multiply the radius by 2 because half a diameter is equal to the radius.
3.784 × 2 = 7.568 centimeters | This can be rounded to about 7.57 centimeters.
Therefore, the diameter of the cylinder is equal to about 7.57 centimeters.
A. 4/10 because he has 4 goldfish out of his 10 pets
B. 3/10 because if you add the amount of cat & goldfish he has the subtract it by 10, you get 3 since they don’t say how many parakeets he has.