As part of a quality-control program, 4 batteries from a box of 17 is chosen at random for testing. In how many ways can this test batch be chosen?

This test batch can be chosen in 2380 ways

Step-by-step explanation:

The order in which the batteries are chosen is not important. So we use the combinations formula to solve this question.

Combinations formula:

is the number of different combinations of x objects from a set of n elements, given by the following formula.

In how many ways can this test batch be chosen?

4 batteries from a set of 17. So

This test batch can be chosen in 2380 ways

here you hope this .

step-by-step explanation:

hypotenuse = √(15² + 8²)

=  √(225 +64)

=  √(289) = 17

sin(x) = cos(y) = 8/17

they are identical so long as you are doing the sine of one angle and the cosine of the only other angle that isn't the right angle.