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Pepsi [2]
3 years ago
10

Three out of every five pairs of socks in a package are brown. The rest are black. First, complete the model

Mathematics
1 answer:
Crazy boy [7]3 years ago
5 0

Answer:

brown = 6 pairs

Step-by-step explanation:

3/5 = brown

2/5 = black

Ratio black brown therefore = 2 : 3

package 10 therefore = 4 : 6

brown = 6 pairs

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. A factory manufactures widgets using three machines, A, B, and C. Of the total output, machine A is responsible for 30%, machi
Sedaia [141]

Answer:

0.545 = 54.5% probability that it came from machine A

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

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

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Defective.

Event B: Coming from machine A.

Machine A is responsible for 30%

This means that P(B) = 0.3

10% of the output from machine A is defective

This means that P(B|A) = 0.1

Probability of being defective:

Machine A is responsible for 30%. Of those, 10% are defective.

Machine B is responsible for 20%. Of those, 5% are defective.

Machine C is responsible for 100 - (30+20) = 50%. Of those, 3% are defective. Then

P(A) = 0.3*0.1 + 0.2*0.05 + 0.5*0.03 = 0.055

Finally:

P(B|A) = \frac{P(B)*P(A|B)}{P(A)} = \frac{0.3*0.1}{0.055} = 0.545

0.545 = 54.5% probability that it came from machine A

3 0
3 years ago
Can you please help me with question three
horrorfan [7]

Answer:

$34.30

Step-by-step explanation:

He pays 7 percent to health insurance.

7 percent of 490 is 34.30. (490 x 0.07)

ALSO: question 1 answer is actually $298.90

5 0
2 years ago
A baseball fits snugly inside a transparent display cube. The length of an edge of the cube is 2.9 inches.
kozerog [31]

Answer:

it would be just a little less to fit in

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
−6(x+7) pls help me.
QveST [7]
The answer is -6x - 42
3 0
3 years ago
Read 2 more answers
HELP ME ANSWER THIS QUESTION QUICKLY BEFORE KATIE REMOVES IT FOR SOME RANDOM REASON.
Marrrta [24]

Answer:

\vec{BC}=2b - 4a

\vec{XY}=a+ b

\vec {CY}=a - 2b

Step-by-step explanation:

By the triangular law of vector addition:

\vec {CY}=\vec {CA}+ \vec{AY}

\vec {CY}=a - 2b

We have that;

\frac{YB}{AY} =  \frac{3}{1}

\implies YB = 3 AY \\  \vec {YB}  = 3  \vec {AY}

\vec {YB}  = 3 a

From triangle ABC,

\vec{BC}=\vec{BA}+\vec{AC} \\ \vec{BC}=2b - 4a

Again from triangle XYB

\vec{XY}=\vec{YB}+\vec{BX} \\

\vec{XY}=\vec{YB}+ \frac{1}{2} \vec{BC}

\vec{XY}=3a+ \frac{1}{2} (2b - 4a)

\vec{XY}=3a+ b - 2a \\ \vec{XY}=a+ b

4 0
3 years ago
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