Answer:
Probability that a house has a hot tub given that it has a pool is 55%.
Step-by-step explanation:
We are given that in New York State, 38% of the houses have a pool and 21% of the houses have both a pool and a hot tub.
Let the probability that houses have a pool = P(A) = 0.38
Also, let B = event that houses have a hot tub
Probability that houses have both a pool and a hot tub = 
= 0.21
Now, the conditional probability that a house has a hot tub given that it has a pool is given by = P(B / A)
<u>As we know that</u>; P(B / A) = 
= 
= 0.553 ≈ 55%
Hence, the probability that a house has a hot tub given that it has a pool is 55%.
Answer:
no no no! don't touch me there that is my no no square
Step-by-step explanation:
I might be misreading something here but if:
x^5+243=0 subtract 243 from both sides
x^5=-243 raise both sides to the 1/5 power (or take the fifth root of both sides)
x=-3
So there is only one solution, x=-3
<h3>
Answer: x < 1/2</h3>
This is the same as saying x < 0.5 since 1/2 = 0.5
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Work Shown:
2(1-x) > 2x
2*1 + 2*(-x) > 2x ..... distribute
2 - 2x > 2x
2 > 2x+2x .... adding 2x to both sides
2 > 4x
4x < 2 ..... flip both sides; flip the inequality sign
x < 2/4 ..... dividing both sides by 4; see note below
x < 1/2
Note: We do not flip the inequality sign here because we are dividing both sides by a positive value. The inequality sign would only flip if you divide both sides by a negative number.
