what is the area of the rectangle wxyz with vertices w(0,1),x(3,4),y(-1,8),z(-4,5) to the nearest unit

1 answer:

8 0

Area of rectangle = length x width (product of the two adjacent sides)
Length of wx = sqrt((3 - 0)^2 + (4 - 1)^2) = sqrt(3^2 + 3^2) = sqrt(18) = 4.24
Length of xy = sqrt((-1 - 3)^2 + (8 - 4)^2) = sqrt((-4)^2 + 4^2) = sqrt(32) = 5.66

Area = 4.24 x 5.66 = 24 square units.

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The ratio pages read to minutes for hang is 5 : 8. Who has the greater ratio of pages read to minutes than hang?

Georgia [21]

Answer:

Option B, C, and D

Step-by-step explanation:

This is the complete question below;

The ratio of pages read to minutes for Hang is 5 : 8. Who has a greater ratio of pages read to minutes than Hang? Select all that apply. A. Kira:2 pages read every 4 minutes B. Joe:6 pages read every 9 minutes C. Quon:5 pages read every 7 minutes D. Lulu:10 pages read every 13 minutes E.

EXPLANATION:

We are given, The ratio of pages read to minutes for Hang as 5 : 8. Which means 5/8= 0.625, then we can say he read 0.625 of a page per minute.

Let us do this for each of the given options;

A. Kira:2 pages read every 4 minutes

Kira's rate= 2/4= 0.5page per minute.

B. Joe:6 pages read every 9 minute

Then Joe's rate = 0.667page per minute.

C. Quon:5 pages read every 7 minute

Quon's rate = 5/7 = 0.7143page per minute.

D. Lulu:10 pages read every 13 minutes

Lulu's rate= 10/13= 0.76923page per minute.

Those that that has a greater ratio of pages read to minutes than Hang are

Joe(0.667page per minute)

Quon( 0.7143page per minute)

and Lulu (0.76923page per minute.)

Because their rate is higher than HANG(0.625 of a page per minute.)

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In a survey of 300 college graduates, 53% reported that they entered a profession closely related to their college major. If 9 o

ExtremeBDS [4]

Answer:

0.1348 = 13.48% probability that 3 of them entered a profession closely related to their college major.

Step-by-step explanation:

For each graduate, there are only two possible outcomes. Either they entered a profession closely related to their college major, or they did not. The probability of a graduate entering a profession closely related to their college major is independent of other graduates. This, coupled with the fact that they are chosen with replacement, means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$