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3 years ago

A. A product has a probability of 60% showing up in warehouse A, and 80% in warehouse.

Mathematics

1 answer:

Alex_Xolod [135]3 years ago

4 0

Answer:

100%

Step-by-step explanation:

Probability of a product showing up in warehouse A =60%

Probability of a product showing up in warehouse B = 80%

Probability of 2 product showing up in warehouse A is

Probability of 1 product showing up in A and probability of 1 product showing up in A

A n A = 60% x 60% = 0.6 x 0.6 = 0.36 =36%

Probability of 2 product showing up in warehouse B is

Same as above

Probability of 1 product showing up in B and probability of 1 product showing up in B

B n B = 80% x 80% = 0.8 x 0.8 = 0.64= 64%

Probability of 2 product showing up in same warehouse is define as

Probability of 1 product showing up in A and probability of 1 product showing up in A or

Probability of 1 product showing up in B and probability of 1 product showing up in B

(AnA) U (BnB) =

36% + 64% = 0.36 + 0.64= 1

100%

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see explanation

Step-by-step explanation:

Note that cos315° = cos45° and sin315° = - sin45° and

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3 years ago

Avery and Caden have saved $27,000 towards a down payment on a house. They want to keep some of the money in a bank account that

AfilCa [17]

Answer:

They should put $6750 in the bank account and $20,250 in the stock fund.

Step-by-step explanation:

Consider the provided information that Avery and Caden have saved $27000.

Let x is the money deposit in the bank and y is the money deposit in stock fund.

Therefore,

x + y = 27000

x = 27000 - y

The bank account will pay 2.4% annual interest.

$\frac{2.4}{100}x+x=1.024x$

Stock fund pays 7.2% annual interest.

$\frac{7.2}{100}y+y=1.072y$

Therefore,

1.024 x + 1.072 y = 1.06 × 27000

Substitute the x = 27000 - y in above equation.

1.024 (27000 − y) + 1.072 y = 1.06 × 27000

27648 − 1.024 y + 1.072 y = 28620

0.048 y = 28620-27648

0.048 y = 972

y = 20250

Now, substitute the y = 20250 in x = 27000 - y.

x = 27000 − 20250

x = 6750

Hence, they should put $6750 in the bank account and $20,250 in the stock fund.

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