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Nina [5.8K]
3 years ago
6

I need help, im a single dad construction worker from los angeles, my daughter is a very smart person. Im having trouble correct

ing a wrong answer in math. She goes to Kumon academy for math and reading, but this problem im out of words

Mathematics
1 answer:
Deffense [45]3 years ago
6 0

Answer:

B=210

C=450

Step-by-step explanation:

Since you are asking for number 8, let's work with that problem :)

Firstly, we have to know we have rectangles here, and the area of a rectangle is given by the following formula:

A_{rectangle}=(width)(height)

So, in this problem we are given as an example the rectangle A, with witdth 90 and height 30. So, its area is:

A=(90)(30)=2700

The same happens with the small rectangle B:

B=(7)(5)=35

And, we have to do the same with rectangles B and C:

<u>Rectangle B:</u>

Width:7

Height:30

B=(7)(30)=210

<u>Rectangle C:</u>

Width:90

Height:5

B=(90)(5)=450

If we sum A, B, C and D the result must be equal to the total are of the big rectangle:

A+B+C+D=2700+210+450+35=3395

Area of big rectangle with width 90+7=97 and height 30+5=35:

(97)(35)=3395

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7 0
3 years ago
A stationary store has decided to accept a large shipment of ball-point pens if an inspection of 17 randomly selected pens yield
Leno4ka [110]

Answer:

0.762 = 76.2% probability that this shipment is accepted

Step-by-step explanation:

For each pen, there are only two possible outcomes. Either it is defective, or it is not. The probability of a pen being defective is independent from other pens. So 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.

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(a) Find the probability that this shipment is accepted if 10% of the total shipment is defective. (Use 3 decimal places.)

This is P(X \leq 2) when p = 0.1. So

P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)

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P(X = 2) = C_{17,2}.(0.1)^{2}.(0.9)^{15} = 0.280

P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.167 + 0.315 + 0.280 = 0.762

0.762 = 76.2% probability that this shipment is accepted

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Use the equation=
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