Answer:
Step-by-step explanation:
The average length of the weird trapezoidal shape on the left is
(2 m + 10 m)/2, or 6 m. The width is 4 m, so the area is 24 m^2.
The area of the semicircle is (1/2)(pi)(2 m)^2, or 2pi m^2.
Thus, the overall area of the green shape is 24 m^2 + 2pi m^2.
There is a probability of 22.66% that their average catch is less than 31.5 pounds
<h3>What is
z score?</h3>
The z score is used to determine by how many standard deviations the raw score is above or belaw the mean. It is given by:
z = (raw score - mean)/ (standard deviation ÷ √sample)
Given that, mean = 32, std = 4, sample = 36, hence:
For 31.5:
z = (31.5 - 32) / (4 ÷√36) = -0.75
P(z < -0.75) = 0.2266
There is a probability of 22.66% that their average catch is less than 31.5 pounds
Find out more on z score at: brainly.com/question/25638875
Answer:
Write the problem as a mathematical expression.
y=−x²+18x−72
Rewrite the equation in vertex form.
y=−(x−9)²+9
Use the vertex form, y=a(x−h)2+k , to determine the values of a, h, and k.
a=−1
h=9
k=9
Find the vertex (h,k).
(9,9)
Good Luck !
Step-by-step explanation:
First factor or a 3
3(x^2+3x-1)
Answer=. 3(x2+3x-1)
The surface are of a rectangular prism is:
A=2(xy+xz+yz), where x,y, and z are the dimensions of the prism, in this case:
A=2(4*6+4*8+6*8)
A=2(24+32+48)
A=2(104)
A=208 cm^2
