Cumulative Exam — Cumulative exam Answers

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Triangle J K L is shown. Angle K L J is a right angle. The length of hypotenuse K J is 10.9 centimeters and the length of L J is 8.9 centimeters. Angle L K J is x.

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A
cos−1 = x
Option A
B
cos−1 = x
Option B
C
sin−1 = x
Option C
D
sin−1 = x
Option D
22
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A steel hex nut has two regular hexagonal bases and a cylindrical hole with a diameter of 1.6 centimeters through the middle. The apothem of the hexagon is 2 centimeters.

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A
21.1 cm3
B
23.6 cm3
C
27.6 cm3
D
31.6 cm3
23

Juanita has a storage closet at her shop with extra bottles of lotion and shower gel. Some are scented and some are unscented. If she reaches into the closet and grabs a bottle without looking, she has a 42% chance of grabbing a bottle of shower gel.For the events "shower gel” and "scented” to be independent, what must be shown to be true?

A
P(lotion) = 42%
B
P(scented) = 42%
C
P(shower gel | scented) = 42%
D
P(scented | shower gel) = 42%
24

Which best describes independent events?

A
The results of all events have different individual probabilities.
B
The results of any previous events affects the probability of future events.
C
The results of all events have the same individual probability.
D
The results of all previous events do not affect the probability of future events.
25

is tangent to circle P at point Q.

Question illustration
A
37°
B
53°
C
90°
D
97°

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