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maksim [4K]
3 years ago
12

How do you work out linear equation word problems

Mathematics
1 answer:
guajiro [1.7K]3 years ago
4 0
To work out linear equation word problems simply read it and what they will ask you, you have to answer by interpreting the unit rate m value, y intercept, and finally the equation: Y=MX+B.
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Suppose that a computer chip company has just shipped computer chips to a computer company.​ Unfortunately, of the chips are def
Varvara68 [4.7K]

Answer:

(a) 0.0000245

(b) 0.000025

Step-by-step explanation:

The complete question is:

Suppose that a computer chip company has just shipped 10,000 computer chips to a computer company. Unfortunately, 50 of the chips are defective. (a) Compute the probability that two randomly selected chips are defective using conditional probability. (b) There are 50 defective chips out of 10,000 shipped. The probability that the first chip randomly selected is defective is  50 /10,000  = 0.005.  Compute the probability that two randomly selected chips are defective under the assumption of independent events.

Solution:

(a)

In this case we need to compute the conditional probability of selecting two defective chips, i.e. the selection of the second defective chip is dependent on the first defective chip.

The probability of selecting the first defective chip is:

P(1D)=\frac{50}{10000}=0.005

Now there are 9999 chips left and 49 defective chips among them.

The probability of selecting the second defective chip is:

P(2D)=\frac{49}{9999}=0.0049

Compute the probability that two randomly selected chips are defective using conditional probability as follows:

P (Two defective chips) =P(1D)\times P(2D)=0.005\times 0.0049=0.0000245

Thus, the answer is 0.0000245.

(b)

Compute the probability that two randomly selected chips are defective under the assumption of independent events as follows:

The above statement implies that the selection was done with replacement.

The probability is:

P (Two defective chips) =P(1D)\times P(2D)

                                      =\frac{50}{10000}\times \frac{50}{10000}\\\\=0.005\times 0.005\\\\=0.000025

Thus, the probability that two randomly selected chips are defective under the assumption of independent events is 0.000025.

6 0
3 years ago
What are the solutions of the quadratic equation 4x^2-8x-12=0
Wewaii [24]

Answer:

<h3>          x₁ = -1,   x₂ = 3</h3>

Step-by-step explanation:

4x^2-8x-12=0\\{}\qquad\qquad^{\div4\qquad\div4}\\x^2-2x-3=0\\\\x^2+x-3x-3=0\\\\x(x+1)-3(x+1)=0\\\\(x+1)(x-3)=0\\\\x+1=0\quad\vee\quad x-3=0\\\\x=-1\quad\vee\quad x=3

6 0
3 years ago
Which is an equation of the line that
Alex Ar [27]
Answer; D) y=-3x+13
4 0
3 years ago
John deposited $500 in a savings account at an annual interest rate of 5%. If John does not deposit or withdraw any money, what
Cloud [144]

Answer:

The answer is 250 in interest.

Step-by-step explanation:

I=prt, I=(500)(0.05)(10)

5 0
3 years ago
B2 - 7b + 12 = 0
olga_2 [115]
B2-7b+12=0
(b-3)(b-4)=0
b= 3 or 4
6 0
3 years ago
Read 2 more answers
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