Answer:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Let X the random variable that represent interest on this case, and for this case we know the distribution for X is given by:
And let
represent the sample mean, the distribution for the sample mean is given by:
On this case
Solution to the problem
We want this probability:
The best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
18 6/7<em /> is the awnser
Answer:
Step-by-step explanation:
<u>Given vertices of triangle:</u>
- A(1, 2), B(3, 4), C(5, 0)
<u>The centroid is found as the average of x- and y- coordinates of three vertices:</u>
- C = ((x₁ + x₂ + x₃)/3, (y₁ + y₂ + y₃)/3)
<u>Substitute the coordinates into formula:</u>
- C = ((1 + 3 + 5)/3, (2 + 4 + 0)/3) = (3, 2)
Correct choice is B
Answer:1
Step-by-step explanation:
because 1 devided by 3 is 3 and 1 devided by 25 is 5
Answer:
$255
Step-by-step explanation:
As, the area of the pool bottom = length x breath
= 20 x 15 = 300 square foot
So for painting
Per square foot = $0.85
So for 300 square foot = $0.85 x 300
= $255