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3 years ago

G.o has 3 orange picks for every 2 green. if there are 25 picks in all how many picks are orange

Mathematics

1 answer:

V125BC [204]3 years ago

6 0

Answer:

15 orange picks.

Step-by-step explanation:

We need to split 25 according to the ratio 3:2.

So the number of orange picks = 25 * (3 / (3+2)

= 25 * 3/5

= 15.

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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

What is the geometric mean of 3 and 24?

Contact [7]

Answer:

for GM, you find out the square root of the product of the numbers provided.

$= \sqrt{3 \times 24} \\ = \sqrt{72} \\ = 6 \sqrt{2}$

since 72 can be broken down into the product of 36 and 2. 6 being the square root of 36 comes out, leaving 2 behind.

7 0

3 years ago

Read 2 more answers

The vertices of angleABC are A(1,1) B(5,1) C(3,3) drawl the triangle and it’s image A’B’C’ reflected in the Y axis. What are the

nevsk [136]

For any point reflected in the y- axis

(x, y ) → (- x, y )

A(1, 1) → A'(- 1, 1)

B(5, 1 ) → B'(- 5, 1 )

C(3, 3 ) → C'(- 3, 3 )

6 0

3 years ago

The surface areas of two similar solids are 384 yd squared and 1057 yd squared The volume of the larger solid is 1795. What is t

Arturiano [62]

This is the concept of scale factors, we are required to calculate for the volume of the smaller solid if the larger solid has a volume of 1975.
Area scale factor=(linear scale factor)^2
thus;
Area scale factor=(area of larger solid)/(area of smaller solid)=1057/384
linear scale factor=√(1057/384)=5.7019
the volume scale factor=(linear scale factor)^3=[volume of larger solid]/[volume of smaller solid]
The volume scale factor=(5.7019)^3=185.3772
therefore;
volume of smaller solid=[volume of larger solid]/[volume scale factor]

=1795/185.3772
=9.683
The answer is 9.683 yd^3

5 0

3 years ago

NEED HELP ASAP WILL GIVE BRAINLY

sesenic [268]

Answer:

Option B is your answer. If I'm right so,

Please mark me as brainliest. thanks!!!

6 0

3 years ago