Answer: Y>5/6
Step-by-step explanation: I had this on khan Academy and got this right
2.4g / 12 minutes
0.2g/minutes
Answer is 0.2 gallons per minute
Answer:
1. 38, 80, 89 and 4. 14, 15, 29
I don't know if there is supposed to be only one, but both of those do not form right triangles.
Step-by-step explanation:
Evaluate all of them and see if they meet the requirements of the Pythagorean Theorem, a² + b² = c².
1. 38, 80, 89
a² + b² = c²
38² + 80² = 89²
1444 + 6400 = 7921
7844 ≠ 7921.
This is an answer because it doesn't satisfy the Pythagorean Theorem.
2. 16, 63, 65
a² + b² = c²
16² + 63² = 65²
256 + 3969 = 4225
4225 = 4225
This isn't the answer because it satisfies the Pythagorean Theorem.
3. 36, 77, 85
a² + b² = c²
36² + 77² = 85²
1296 + 5929 = 7225
7225 = 7225
This isn't the answer because it satisfies the Pythagorean Theorem.
4. 14, 15, 29
a² + b² = c²
14² + 15² = 29²
196 + 225 = 841
421 ≠ 841
This is an answer because it does not satisfy the Pythagorean Theorem.
Answer:
Step-by-step explanation:
For each homeowner, there are only two possible outcomes. Either they have invested in earthquake insurance, or they have not. The probability of a home owner having invested in earthquake insurance is independent from other homeowners. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which 
is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
32% of all homeowners are insured against earthquake damage.
This means that 
Four homeowners are to be selected at random.
This means that 
Find the probability distribution of X.
This is the probability of each outcome
