In the diagram below, D
R
→
DR
D, R, with, \overrightarrow, on top is perpendicular to
O
P
‾
OP
start overline, O, P, end overline.

P
P
O
O
A
A
U
U
D
D
R
R
M
M
4.5
4.5
4.0
4.0
10.0
10.0
3.75
3.75
Find the area of
△
D
U
O
△DUOtriangle, D, U, O.
If entering your answer as a decimal, round your final answer to the nearest hundredth.

square units

The number of chocolate chips in an 18-ounce bag of chocolate chip cookies is approximately normally distributed with a mean of 1252 chips and standard deviation 129 chips. (a) what is the probability that a randomly selected bag contains between 1100 and 1500 chocolate chips, inclusive? (b) what is the probability that a randomly selected bag contains fewer than 1125 chocolate chips? (c) what proportion of bags contains more than 1225 chocolate chips? (d) what is the percentile rank of a bag that contains 1425 chocolate chips?

Equation for the calculation double 2 and then add 5

Martha has a deck of cards. she has lost some of the cards, and now the deck only contains nine spades, eleven diamonds, eight clubs, and twelve hearts. martha predicts that whenever she draws a card from the deck without looking, she will draw a club one-fifth of the time. which activity would best allow martha to test her prediction? a. randomly draw a card from the box and see if it is a club. b. randomly draw a card. then, continue to draw another card until all eight clubs are drawn. c. randomly draw and replace a card 120 times. then, observe how close to 30 times a club is drawn. d. randomly draw and replace a card 100 times. then, observe how close to 20 times a club is drawn.