Lf 7 + 3x = 22. then 2x = ?

Mathematics

1 answer:

Sloan [31]3 years ago

3 0

Answer:

2x = 10

Step-by-step explanation:

7 + 3x = 22

-7 -7

Subtract 7 from both sides (you are trying to get the variable alone, and to do that, you have to get every other number to 0. <em>7 - 7 = 0</em>. BUT, whatever you do, you have to do to both sides.)

3x = 15

/3 /3

Divide both sides by three to get the variable alone.

x = 5

Now, plug in the value of x to the second equation and solve.

2(5) = ? --> 10

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A certain manufactured item is visually inspected by two different inspectors. When a defective item comes through the line, the

andreev551 [17]

The fraction of a defective item getting by both inspectors is $\frac{5}{100}$ = $\frac{1}{20}$

Step-by-step explanation:

Step 1; Assume that the probability of the first inspector missing a defective part is P(A) and the probability of the second inspector missing those that do get past the first inspector is P(B).

Step 2; It is given that P(A) = 0.1, we convert this into a fraction so that the final probability will be a fraction and not a decimal.

P(A) = 0.1 = $\frac{1}{10}$ .

It is given that the second inspector misses 5 out of 10 that get past the first inspector, so P(B) = $\frac{5}{10}$ .

Step 3; To calculate the probability of both inspectors missing a defective part, we multiply both the probabilities.

P(A and B happening) = P(A) × P(B) = $\frac{1}{10}$ × $\frac{5}{10}$ = $\frac{5}{100}$ = $\frac{1}{20}$ = 0.05%. So there is a 0.05% chance of both inspectors missing a defective part.