Answer:
a. 0.71
b. 0.9863
Step-by-step explanation:
a. From the histogram, the relative frequency of houses with a value less than 500,000 is 0.34 and 0.37
-#The probability can therefore be calculated as:

Hence, the probability of the house value being less than 500,000 is o.71
b.
-From the info provided, we calculate the mean=403 and the standard deviation is 278 The probability that the mean value of a sample of n=40 is less than 500000 can be calculated as below:

Hence, the probability that the mean value of 40 randomly selected houses is less than 500,000 is 0.9863
In this specific problem each term is separated by an addition sign , so you have a total of 3 terms . The correct answer is " C."<span />
Answer:
StartRoot 53 EndRoot units
XY = √53
Step-by-step explanation:
Choose which is point 1 and point 2 so you don't confuse the coordinates.
Point 1 (–4, 0) x₁ = –4 y₁ = 0
Point 2 (3, 2) x₂ = 3 y₂ = 2
Use the formula for the distance between two points.




Therefore the line of segment XY is √53.
Answer:
A is the answer.
Step-by-step explanation:
A fraction plus a fraction is equal to a fraction. An irrational number cannot be expressed as a fraction.
0.3333333 even though it looks like an irrational number it is actually: 1/3
3/5 is already a fraction so adding it with another fraction will NOT equal an irrational number (decimal)
-0.75 is equal to -3/4 (75/100 => 3/4). Same thing that applies above.
However, Pi cannot be expressed as a fraction exactly. You can round up like 3.14. However it is not the full number. So 3.141592654....+(3/4) is not going to add up perfectly into a fraction.
In short, a fraction is a rational number. Rational + Rational = Rational. Irrational + Rational = Irrational.
Step-by-step explanation:
Since f(0) = f(5) = f(8) = 0, we have f(x) = Ax(x - 5)(x - 8), where A is a real constant.
We know that f(10) = 17.
=> A(10)(10 - 5)(10 - 8) = 17
=> A(10)(5)(2) = 17
=> 100A = 17, A = 0.17.
Hence the answer is f(x) = 0.17x(x - 5)(x - 8).