a) Number of seats expected to be empty = 18
b) Number of passengers expected to show up for the flight = 291
Step-by-step explanation:
Step 1:
Probability that a passenger will not show up for the flight = 6%
Total capacity of the flight when fully booked = 300
Step 2 :
a)
Number of seats expected to be empty = 6% of 300 = × 300 = 18
b)
Number of passengers over booked = 10
Probability that a passenger will turn up for a flight = 100 - 6% = 94%
Number of passengers when the flight is overbooked = 300 + 10 = 310
Hence number of passengers who are expected to show up for the flight = 94% of 310 = × 310 = 291.4 = 291 (rounded of whole number as this represents number of passengers)
Step 3 :
Answer :
a) Number of seats expected to be empty = 18
b) Number of passengers expected to show up for flight = 291
x represents how many are sold. then multiply 80×3
then add your x together
then you must divide your x by 3440
8 is how many higher-priced speakers take you 8 and multiple it by 3 to get how many lower-priced speakers
you have 24 low priced speaker and 8 high priced speakers.
Answer:
91.7 inches to 1 decimal place
Step-by-step explanation:
We will use Pythagoras's theorem to find the height of the pyramid.
The height of the Pyramid forms a right-angled triangle with half of the base and the slant height.
We can get half the length of the base by dividing the length of one side of the base = 20.4 by 2 = 10.2in
slant height = 92.3in
Therefore height =
The height of the pyramid is 91.73inches to 1 decimal place
Answer:
512:27
Step-by-step explanation:
We just cube the edge length ratio since a pyramid is a 3-dimensional figure and volume is 3-dimensional:
8:3 -> 8^3:3^3 -> 512:27
Therefore, the correct answer is 512:27
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