A basketball player has made 80% of his foul shots during the season. Assuming the shots are independent, find the probability that in tonight's game he makes his first basket on one of his first 3 shots.

A basketball player has made $80\%$ of his foul shots during the season. Assuming the shots are independent, What is the standard deviation of the 10 shots?

At sunset, red light travels horizontally through the doorway in the western wall of your beach cabin, and you observe the light on the eastern wall. What is the size of the interference pattern created by the doorway “slit”?

A basketball player has made $80\%$ of his foul shots during the season. Assuming the shots are independent, What's the expected number of shots until he misses?

Classify each related conditional statement, based on the conditional statement " If I study, then I will pass the final exam". a. I will pass the final exam if and only if I study. b. If I do not study, then I will not pass the final exam. c. If I pass the final exam, then I studied. d. If I do not pass the final exam, then I did not study.

Find the coordinates of the circumcenter of the triangle with the given vertices. X(2, 1), Y(-5, -3), Z(0, 7)

Write each expression without a fraction bar.

$$\frac { y ^ { 4 } } { y ^ { 7 } }$$

In a basketball free-throw contest, four players take the same number of free throws. Player A makes 33 of 40 free throws. Player B makes

$$\frac { 3 } { 4 }$$

of his free throws, Player C makes 85% of her free throws, and Player D makes

$$\frac { 4 } { 5 }$$

of his free throws. Which player makes the greatest number of free throws?

$$A. \ Player \ A \\ B. \ Player \ B \\ C. \ Player \ C \\ D. \ Player \ D$$

A Department of Transportation report about air travel found that, nationwide, 76% of all flights are on time. Suppose you are at the airport and your flight is one of 50 scheduled to take off in the next two hours. Can you consider these departures to be Bernoulli trials? Explain.

Prove: If

$$\mathbf { F } ( x , y , z ) = f ( x , y , z ) \mathbf { i } + g ( x , y , z ) \mathbf { j } + h ( x , y , z ) \mathbf { k }$$

is a conservative field and f , g, and h are continuous and have continuous first partial derivatives in a region, then

$$\frac { \partial f } { \partial y } = \frac { \partial g } { \partial x } , \quad \frac { \partial f } { \partial z } = \frac { \partial h } { \partial x } , \quad \frac { \partial g } { \partial z } = \frac { \partial h } { \partial y }$$

in the region.

Solve. Check to justify your answer. $2 = y - \left( - \frac { 3 } { 5 } \right)$

A basketball player who has made 70% of his foul shots during the season gets to take 5 shots in the first playoff game. Assuming the shots are independent, what's the probability he makes a) exactly 3 of the 5 shots? b) exactly 4? c) all 5? d) at least 3 of his 5 shots?

A basketball player has made $80\%$ of his foul shots during the season. Assuming the shots are independent, If the player shoots 10 foul shots in the fourth quarter, how many shots do you expect him to make?

Evaluate the expression for the given value of x. 3 + x + (-7); x = 6