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Delvig [45]
3 years ago
12

3 What is the remainder when 2,308 is divided by nine? Give your answer as a fraction.

Mathematics
2 answers:
lorasvet [3.4K]3 years ago
4 0

Answer:

254 R 6

Step-by-step explanation:

vovikov84 [41]3 years ago
3 0

Answer:

256 7/16

Step-by-step explanation:

2308/9 = 256 7/16

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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
HELP I DONT UNDERSTAND HOW TO DO THIS TYPE OF PROBLEM I FORGOT. please give a good explanation
Levart [38]

Answer:

i have no idea sry man lol

Step-by-step explanation:

no idea

7 0
2 years ago
The value of a house has increased by 5% the house is now valued at £609000 what is the value of the house before the increase?
lutik1710 [3]

Answer:

Current \ price = 609000\\\\Let \ the \ original \ price \ be = x\\\\\% increase = 5 \% \ of \ x = \frac{5}{100} \times x = \frac{5x}{100}\\\\Price \ after \ increase, current\ price = \frac{5x}{100} + x\\\\

=> 609000 = \frac{5x}{100} + x\\\\=>609000 = \frac{105x}{100}\\\\=> x = \frac{609000 \times 100}{105}\\\\x = 580000

Therefore original price = $580,000

3 0
2 years ago
Find the circumference and area of a circle with a diameter of 22 inches. Leave your answers in terms of pi.
astra-53 [7]
The circumference formula is 
C=Diameter x π=22 x π, the area formula is A=<span>π x R²
or R=</span><span>D/2=22/2=11

the answer is </span><span>d. C = 22π; A = 121π</span>
4 0
3 years ago
Read 2 more answers
Which of the following statements is false regarding the properties of a kite? a)A kite has two pairs of congruent sides.
ycow [4]
D) 

A kite does not have congruent diagonals. 


8 0
3 years ago
Read 2 more answers
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