Answer: 11.4
Step-by-step explanation:
area of rect. = 24
area of circle (half circle+half circle = full circle) = pi*r^2 = pi*(2*2) = pi*4 = about 12.57
2 = radius since 4 = diameter
24-12.57 = 11.43
round = 11.4
Answer:
Critical value is -1.98.
Step-by-step explanation:
Given:
The value of alpha is, 
Now, in order to find the critical value, we need to subtract alpha from 1 and then look at the z-score table to find the respective 'z' value for the above result.
The probability of critical value is given as:

So, from the z-score table, the value of z-score for probability 0.976 is 1.98.
Now, in a left tailed test, we multiply the z value by negative 1 to arrive at the final answer. We do so because the area to the left of mean in a normal distribution curve is negative.
So, the z-score for critical value 0.024 in a left tailed test is -1.98.
A 40 degree angle: go from the right positive side of the x-axis and go left (left is positive degrees) forty degrees, which is a little less than halfway in quadrant 1.
Using cosine rule, the length of the required side = sqrt(32^2 + 35^2 - 2 x 32 x 35cos 120)
= sqrt(1024 + 1225 - (-1120))
= sqrt(2249 + 1120)
= sqrt(3369)
= 58.04
Answer:
6/25
Step-by-step explanation: