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Anton [14]
3 years ago
10

Last year my homeroom class

Mathematics
2 answers:
IrinaVladis [17]3 years ago
6 0

Answer:

12%

Step-by-step explanation:

Crazy boy [7]3 years ago
6 0

The formula is (new minus original)/ original

New = 22

Original = 25

22 - 25 = -3

-3 / 25 = -.12, or -12 percent. The percent decrease was 12 percent because the negative sign (-) indicates a decrease.

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In a certain assembly plant, three machines B1, B2, and B3, make 30%, 20%, and 50%, respectively. It is known from past experien
diamong [38]

Answer:

The probability that a randomly selected non-defective product is produced by machine B1 is 11.38%.

Step-by-step explanation:

Using Bayes' Theorem

P(A|B) = \frac{P(B|A)P(A)}{P(B)} = \frac{P(B|A)P(A)}{P(B|A)P(A) + P(B|a)P(a)}

where

P(B|A) is probability of event B given event A

P(B|a) is probability of event B not given event A  

and P(A), P(B), and P(a) are the probabilities of events A,B, and event A not happening respectively.

For this problem,

Let P(B1) = Probability of machine B1 = 0.3

P(B2) = Probability of machine B2 = 0.2

P(B3) = Probability of machine B3 = 0.5

Let P(D) = Probability of a defective product

P(N) = Probability of a Non-defective product

P(D|B1) be probability of a defective product produced by machine 1 = 0.3 x 0.01 = 0.003

P(D|B2) be probability of a defective product produced by machine 2 = 0.2 x 0.03 = 0.006

P(D|B3) be probability of a defective product produced by machine 3 = 0.5 x 0.02 = 0.010

Likewise,

P(N|B1) be probability of a non-defective product produced by machine 1 = 1 - P(D|B1) = 1 - 0.003 = 0.997

P(N|B2) be probability of a non-defective product produced by machine 2  = 1 - P(D|B2) = 1 - 0.006 = 0.994

P(N|B3) be probability of a non-defective product produced by machine 3 = 1 - P(D|B3) = 1 - 0.010 = 0.990

For the probability of a finished product produced by machine B1 given it's non-defective; represented by P(B1|N)

P(B1|N) =\frac{P(N|B1)P(B1)}{P(N|B1)P(B1) + P(N|B2)P(B2) + (P(N|B3)P(B3)} = \frac{(0.297)(0.3)}{(0.297)(0.3) + (0.994)(0.2) + (0.990)(0.5)} = 0.1138

Hence the probability that a non-defective product is produced by machine B1 is 11.38%.

4 0
3 years ago
18. Jameson and Quincy each deposit $7,000 into accounts that earn 6%
mina [271]

Answer:

Jameson will have about $267.58 less in his account than Quincy

Step-by-step explanation:

6 0
3 years ago
2. Explica que es un cero, o raíz, de una función.​
vovikov84 [41]

Answer:

los ceros de una función también se pueden llamar las raíces, básicamente significan donde una función o parábola cruzará la coordenada x. encontrar las raíces de una ecuación significa encontrar donde la parábola intercepta el eje x

Step-by-step explanation:

3 0
3 years ago
If 5 + 6i is a root of the polynomial function f(x), which of the following must also be a root of f(x)? –5 – 6i 5 – 6i 6 – 5i 6
san4es73 [151]

Answer: 5-6i

The rule is that if f(x) has real number coefficients, then a root of x = a+bi pairs up with its conjugate pair of x = a - bi. In this case, a = 5 and b = 6.

4 0
3 years ago
Read 2 more answers
9. AZ Vocabulary Paul has a stack
LenaWriter [7]

Answer:

Paul has 83 cards in total.

Step-by-step explanation:

Add the two stacks together.

8 0
3 years ago
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