Step-by-step explanation:
It asks you to choose values for w, the width, and evaluate the equation for each. It describes the constraint "the perimeter of 20 units" The perimeter of a rectangle is the length of all the lines of a regtangle.
Or
2L + 2W = 20 reduce this to simplest for by dividing both sides by 2;
L + W = 10, so the length plus the width is 10. Rearrange it to be W = 10 - L. Values of W can range from 1 to 9. Now sove for a few points in the function.
f(W) = 10W - W^2
3; 10(3) - 3^2 = 30 - 9 = 21.
If we look at the constraint, L = 10 - W, when the width is 3 the length must be 7. The area of a rectangle is L x W, 3 x 7 = 21. That checks against the function.
Solve for additional points.
4; 10(4) - 4^2 = 40 - 16 = 24.
If W is 4 the L is 6 and 4 x 6 = 24
Answer:
87.29%
Step-by-step explanation:
Given: Mean= 68.8 inches
Standard deviation= 2.8 inches
Now, finding the percent of the men in the sample were greater than 72 inches.
We know, z-score= 
z-score= 
⇒ z-score= 
∴ z-score= 1.14
Next, using normal distribution table to find percentage.
Coverting 0.8729 into percentage= 
We get the percentage as 87.29%
Hence, 87.29% of the men in the sample were greater than 72 inches.
Answer:
C. cos 20/29
Step-by-step explanation:
Cosine is adjacent over hypotenuse, like SohCahToa. Therefore, 20 is the adjacent side and 29 is the hypotenuse (hypotenuse is always the longest side).
For 3. he answer is a
for 4 the answer is two
