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Alik [6]
3 years ago
6

Diego works at a warehouse that ships two types of packages, a red package weighing 4 pounds and a blue package weighing 6 pound

s. Diego shipped a total of 40 packages weighing 180 pounds.
How many red packages were in the shipment?

Group of answer choices

10 packages

36 packages

20 packages

30 packages
Mathematics
1 answer:
Misha Larkins [42]3 years ago
8 0

Answer:

Step-by-step explanation:

Red =x   Blue = y

1)  4x + 6y = 180

2)  x + y = 40

solve for x in eq. 2 and plug into eq. 1

2a)  x=40-y

1a)  4(40-y) + 6y = 180

160-4y +6y = 180

2y=20

y=10

plug into eq. 2

x + 10 =40

x=30

30 red packages

;)  maybe a late Christmas gift.. :D

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Any athlete who fails the Enormous State University's women's soccer fitness test is automatically dropped from the team. Last y
castortr0y [4]

Using conditional probability, it is found that there is a 0.7873 = 78.73% probability that Mona was justifiably dropped.

Conditional Probability

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

  • P(B|A) is the probability of event B happening, given that A happened.
  • P(A \cap B) is the probability of both A and B happening.
  • P(A) is the probability of A happening.

In this problem:

  • Event A: Fail the test.
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The probability of <u>failing the test</u> is composed by:

  • 46% of 37%(are fit).
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Hence:

P(A) = 0.46(0.37) + 0.63 = 0.8002

The probability of both failing the test and being unfit is:

P(A \cap B) = 0.63

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P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.63}{0.8002} = 0.7873

0.7873 = 78.73% probability that Mona was justifiably dropped.

A similar problem is given at brainly.com/question/14398287

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