Number 1 is not equivalent to 2/3
Caitlin = 20 laps
Hannah = 4/5 as many laps
Multiply the laps swan by Caitlin (20) by 4/5
20 x 4/5 = 80/5 = 16
Hannah swam 16 laps
Answer:
D.) 0.9990
Step-by-step explanation:
Given :
Number of questions = 10
True or False questions ; probability of success, p = 1/2 = 0.5
Using binomial distribution :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
Probability of getting atleast one correct answer :
P(x ≥ 1) = p(1) + p(2) +... P(x = 10)
Using a binomial probability calculator :
P(x ≥ 1) = 0.9990
Answer:
a. 11.26 % b. 6.76 %. It appears so since 6.76 % ≠ 15 %
Step-by-step explanation:
a. This is a binomial probability.
Let q = probability of giving out wrong number = 15 % = 0.15
p = probability of not giving out wrong number = 1 - q = 1 - 0.15 = 0.75
For a binomial probability, P(x) = ⁿCₓqˣpⁿ⁻ˣ. With n = 10 and x = 1, the probability of getting a number wrong P(x = 1) = ¹⁰C₁q¹p¹⁰⁻¹
= 10(0.15)(0.75)⁹
= 1.5(0.0751)
= 0.1126
= 11.26 %
b. At most one wrong is P(x ≤ 1) = P(0) + P(1)
= ¹⁰C₀q⁰p¹⁰⁻⁰ + ¹⁰C₁q¹p¹⁰⁻¹
= 1 × 1 × (0.75)¹⁰ + 10(0.15)(0.75)⁹
= 0.0563 + 0.01126
= 0.06756
= 6.756 %
≅ 6.76 %
Since the probability of at most one wrong number i got P(x ≤ 1) = 6.76 % ≠ 15 % the original probability of at most one are not equal, it thus appears that the original probability of 15 % is wrong.
Answer:
45
Step-by-step explanation:
Find the volume of a pyramid with a square base, where the perimeter of the base is 18.4\text{ cm}18.4 cm and the height of the pyramid is 20.6\text{ cm}20.6 cm. Round your answer to the nearest tenth of a cubic centimeter.
