Answer: Third option is correct.
Step-by-step explanation:
Since we have given that
The quantity q varies inversely with the square of m and directly with the product fo r and x.
According to question,

Since q=2.5, m=4, rx=8,
So, we put the value of all of theses in our above relation:

Hence, Third option is correct.
Answer:
a) 0.71
b) 0.9863
Step-by-step explanation:
a. Given the mean prices of a house is $403,000 and the standard deviation is $278,000
-The probability the probability that the selected house is valued at less than $500,000 is obtained by summing the frequencies of prices below $500,000:

Hence, the probability of a house price below $500,000 is 0.71
b. -Let X be the mean price of a randomly selected house.
-Since the sample size 40 is greater than 30, we assume normal distribution.
-The probability can therefore be calculated as follows:

Thus, the probability that the mean value of the 40 houses is less than $500,000 is 0.9863
The inverse of that function would be 1/7x-3
Answer:
45/53
Step-by-step explanation:
opposite over hypotenuse
Step-by-step explanation:
First, find the vector.
= (4,2) - (-3,5)
= (4-(-3),2-5)
= (7,-3)
And then, find the distance.
= √(7² + (-3)²)
= √(49 + 9)
= √58 ✓