Answer:
13/4096
Step-by-step explanation:
There are 12 ways the player can make 11 shots and miss one shot, and there is 1 way the player can make all shots, so there is a total of 13 ways that the player makes at least 11 out of 12 free throws.
The total number of possibilities for the free throws is 2^12 = 4096
Therefore, the probability that the player makes at least 11 out of 12 free throws is 13/4096
Take into account the length of the right side of the figure is 10. Moreover, x is the hypotenuse of a right triangle. To find the value of x, use the sine function:
cos 45 = opposite side/hypotenuse
cos 45 = 10/x solve for x
x = 10/cos 45
x = 10/0.707
x = 14.14
with the previous value of x, you can find y. Again, consider the right triangle right side. x is the hypotenuse. Use the Pythagorean theorem to find y:
x² = 10² + y² solve for y and replace x
y² = x² - 10²
y² = (14.14)² - 100
y² = 200 - 100
y² = 100 apply square root both sides
y = 10
Hence, the values of x and y are 14.14 and 10 respectively
Answer: 196
Step-by-step explanation:
As per given , we have
Population standard deviation: 
Significance level : 
Using the z-value table , the critical z value for 98% confidence : 
Margin of error : E= 01 lb
Sample size : 
Simplify , we get
Hence, the minimum sample size required for books = 196
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