Volume of 1/4 gal
= Volume of 2/3 bin
Volume(x gal)
= Volume( 1 bin)
So, (1/4)/(2/3)
= x/1
(1/4)/(2/3)
= x
(1/4)/(3/2)
x = 3/8 (Total balance required to fill the entire bin)
In order to fill the bin, the additional gallons need to be added to the initial 1/4 gallon
Therefore, 3/8 - 1/4 = 1/8 gallons
Hope that helps!!!!
Answer: 3, 5, and 11
Step-by-step explanation: a prime number is a number greater than 1 that is not a product of two smaller natural numbers.
This is an easy one.
65/5= 13.
Therefore, she descended 13 feet per minute.
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.
You would want to multiply equation a by -5 so you can eliminate by addition
