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IRINA_888 [86]
3 years ago
5

GUESS!

Mathematics
1 answer:
galina1969 [7]3 years ago
5 0

The three numbers are 6, 7 and 9

<u>Explanation:</u>

First of all exclude the numbers which aren't correct.

From the 4th data,We can conclude the digit 5, 2 and 3 are wrong.

Now,

  • 147 - One digit is right but wrong placed
  • 189 - One digit is right and placed correctly
  • 964 - Two digits are correct but at wrong place
  • 523 - All digits are wrong
  • 286 - One digit is right but in the wrong place

We've to find the three digits :

From case 4: 5, 2 and 3 are wrong

So, remove 5, 2 and 3 from all the cases

The numbers are:

  • 147 - One digit is right but wrong placed
  • 189 - One digit is right and placed correctly
  • 964 - Two digits are correct but at wrong place
  • _86 - one digit is right but in the wrong place

From 1st and 3rd we can say that: 4 is present in both the case but wrongly placed.

Now the digits become:

  • 1_7 - One digit is right but wrong placed
  • 189 - One digit is right and placed correctly
  • 96_ - Two digits are correct but at wrong place
  • _86 - one digit is right but in the wrong place

From 3rd and 4th case we can say that: 9 and 6 are correct but wrongly placed, 8 is not the number and 6 is placed at first

So, the two numbers of a 3 digit number are 6 and 9

From 2nd, 3rd and 4th case, the position of 6 and 9 are:

6  _  9

From 1st case, 7 is the digit but wrongly placed. So, the 3 digit number becomes:

6 7 9

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Because it has already been factored, we can solve it straight away. Now, since m is a variable, we yield the same result if m = 0 or m = 3 because we have two components to this equation.

We can either have m = 0 or m - 3 = 0
Hence, m is either 0 or 3
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3 years ago
Please solve number 11:(​
MrRa [10]

Answer:

Market price $400

Cost price $300

Step-by-step explanation:

MP: market price

CP: cost price

1. (MP x 0.9) - CP = 60

CP = 0.9MP - 60

2. MP - CP = 100

CP = MP - 100

0.9MP - 60 = MP - 100

MP - 0.9MP = 100 - 60

0.1MP = 40

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2 years ago
In the sequence 80, 64, 48, 32, ..., what number should come next?
otez555 [7]

(b) sixteen is the answer

5 0
2 years ago
Read 2 more answers
A train 100 m long crosses a pole in 5 seconds.Find the speed of the train in kilometre per hour.​
In-s [12.5K]

Answer:

\sf72  km/h

Step-by-step explanation:

Distance covered by the train in crossing the pole = 100 m.

\sf Time \:  taken=5 \:  seconds

\sf \: Speed  \: of \: the \: train =  \frac{Distance }{Time}

\sf =  \frac{100}{5} \:  m/s

\sf \:  = 20 \: m/s

\sf \: =  20 \times \frac{18}{5}  \: km/h

\sf = 72 \: km/h

  • Hence, the speed of the train is 72 km/h
6 0
2 years ago
You want to go to graduate school, so you ask your math professor, Dr. Emmy Noether, for a letter of recommendation. You estimat
tresset_1 [31]

Answer:

a) 0.685

b) 0.8175

c) 0.254

Step-by-step explanation:

Let the event that one gets into graduate school be G

The event that one does not get into graduate school is G'

Let the event that one gets a strong recommendation be S

Let the event that one gets a moderately good recommendation be M

Let the event that one gets a weak recommendation be W

P(G|S) = 80% = 0.80

P(G|M) = 60% = 0.60

P(G|W) = 5% = 0.05

P(S) = 0.7

P(M) = 0.2

P(W) = 0.1

These 3 probabilities add up to a 1.0, so, it means these are all the possible outcomes for seeking a recommendation.

a) Probability that you will get into a graduate program = P(G)

P(G) = P(G n S) + P(G n M) + P(G n W)

But the conditional probability P(A|B) is given as

P(A|B) = P(A n B) ÷ P(B)

P(A n B) = P(A|B) × P(B)

Hence,

P(G n S) = P(G|S) × P(S) = 0.80 × 0.70 = 0.56

P(G n M) = P(G|M) × P(M) = 0.6 × 0.2 = 0.12

P(G n W) = P(G|W) × P(W) = 0.1 × 0.05 = 0.005

P(G) = P(G n S) + P(G n M) + P(G n W)

P(G) = 0.56 + 0.12 + 0.005 = 0.685

b) Given that one does receive an offer, probability that you received a strong recommendation?

This probability = P(S|G)

P(S|G) = P(G n S) ÷ P(G) = 0.56 ÷ 0.685 = 0.8175

c) Suppose you didn't receive an offer to attend a graduate program. Given that, what is the probability that you received a moderately good recommendation?

Probability that one doesn't get the offer, given one got a strong recommendation = P(G'|S)

P(G'|S) = 1 - P(G|S) = 1 - 0.80 = 0.20

Probability that one doesn't get job offer, given one got a moderate recommendation = P(G'|M)

P(G'|M) = 1 - P(G|M) = 1 - 0.60 = 0.40

Probability that one doesn't get job offer, given one got a weak recommendation = P(G'|S)

P(G'|W) = 1 - P(G|W) = 1 - 0.05 = 0.95

Total probability that one doesn't get the offer

P(G') = P(G' n S) + P(G' n M) + P(G' n W)

P(G' n S) = P(G'|S) × P(S) = 0.20 × 0.70 = 0.14

P(G' n M) = P(G'|M) × P(M) = 0.40 × 0.20 = 0.08

P(G' n W) = P(G'|W) × P(W) = 0.95 × 0.10 = 0.095

Total probability that one doesn't get the offer

P(G') = P(G' n S) + P(G' n M) + P(G' n W)

= 0.14 + 0.08 + 0.095 = 0.315

Given that one does not receive the job offer, the probability that you received a moderately good recommendation

This probability = P(M|G')

P(M|G') = P(G' n M) ÷ P(G') = 0.08 ÷ 0.315 = 0.254

Hope this Helps!!!

7 0
3 years ago
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