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raketka [301]
3 years ago
15

A jar contains 30 red marbles, 50 blue marbles and 20 white marbles.You pick one marble from the jar at random. Find each theore

tical probability.
(a) P (red)

(b) P (not white)
Mathematics
2 answers:
sesenic [268]3 years ago
7 0
There’s 100 total marbles, 30 being red. That would be 30/100 chance. Simplify it to get the lowest you can.
a. 3/10
There’s 20 white marbles. Subtract that from 100 to get your answer, 80/100. Simplify.
b.8/10
lesya [120]3 years ago
4 0

Answer:a = \frac{3}{10} , b =  \frac{4}{5}

<u>Step-by-step explanation:</u>

P(red) = \frac{red (marbles)}{total(marbles)}

          = \frac{30}{30+50+20}

          = \frac{30}{100}

          = \frac{3}{10}      <em>simplified</em>

P(not white) = \frac{red + blue(marbles)}{total(marbles)}

                    = \frac{30+50}{30+50+20}

                    = \frac{80}{100}

                    = \frac{4}{5}      <em>simplified</em>

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liraira [26]

Answer:

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3 0
3 years ago
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A town has a population of 170000 and grows at 4% every year.what will be the population after 12 years
Aneli [31]

Answer:

\large \boxed{272175}

Step-by-step explanation:

We can use the exponential growth formula:

y = a(1+r)ˣ

where

y = amount after x time

a = initial amount

r = growth rate as a decimal fraction

x = number of years

Data:

a = 170 000

r = 0.04

Calculations:

\begin{array}{rcll}y &= &170 000(1.04)^{12} & & \\& = &170 000 \times 1.601032 &\\& = &\mathbf{272175} &\\\end{array}\\\text{The population will be $\large \boxed{\mathbf{272175}}$ in 12 yr}

The figure below also shows that the population will grow to about 272 000 in 12 yr.

5 0
4 years ago
Two methods, A and B, are available for teaching a certain industrial skill. The failure rate is 15% for A and 5% for B. However
baherus [9]

Answer:

P(A | F) = 81.81%

There is 81.81% probability that worker was taught by method A given that he failed to learn it correctly.

Step-by-step explanation:

The failure rate is 15% for A which means that

P(F | A) = 0.15

The failure rate is 5% for B which means that

P(F | B) = 0.05

Method B is more expensive and hence is used only 40% of the time which means that

P(B) = 0.40

Which means that A is used the other 60% of the time

P(A) = 0.60

A worker is taught the skill by one of the methods but fails to learn it correctly.

We are asked to find the the probability that he was taught by method A.

So that means we want to find out

P(A | F) = ?

We know that according to Baye's rule,

P(A \:|\: F) = \frac{P(F \:|\: A)\times P(A) }{P(F \:|\: A)\times P(A) + P(F \:|\: B)\times P(B) }

Substitute the given probabilities into the above equation

P(A \:|\: F) = \frac{0.15\times 0.60 }{0.15\times 0.60 + 0.05\times 0.40}\\\\P(A \:|\: F) = \frac{0.09 }{0.09 + 0.02}\\\\P(A \:|\: F) = 0.8181 \\\\P(A \:|\: F) = 81.81\%

Therefore, there is 81.81% probability that worker was taught by method A given that he failed to learn it correctly.

7 0
4 years ago
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Dennis_Churaev [7]
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Answer:

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