MATHEMATICS HIGH SCHOOL

The probability that a train leaves on time is 0.8. The probability that the train arrives on time and leaves on time is 0.24. What is the probability that the train arrives on time, given that it leaves on time?0.3
0.8
0.16
0.24

Answers

Answer 1
Answer: name p the probability that the train arrives on time.

0.8 * p = 0.24

p = 0.24/0.8 = 0.3

Answer: the first option: 0.3
Answer 2
Answer:

Final answer:

The probability that the train arrives on time, given that it leaves on time, is 0.3.

Explanation:

The probability that the train arrives on time and leaves on time is 0.24. Let's assume that the probability of leaving on time is A and the probability of arriving on time is B. We are given that P(A) = 0.8 and P(A and B) = 0.24. We are asked to find P(B|A), the probability that the train arrives on time given that it leaves on time.

The conditional probability P(B|A) is given by P(A and B) / P(A). Therefore, P(B|A) = 0.24 / 0.8 = 0.3. So the probability that the train arrives on time, given that it leaves on time, is 0.3.

Learn more about Probability here:

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Simplify sin(3x+13)=cos(4x)

Answers

Sin(3×+13)=sin(pi/2-4×)
3x+13 =pi/2 -4×          or 3×+13 =pi-pi/2 + 4×
7× = pi/2 - 13 +k2pi   or -× = pi/2 +k2pi
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Use the explicit formula an=a1 (n-1)d to find the 500th term of the sequence below.24,31,38,45,52,..

Answers

First off...the right formula is an=a₁+(n-1)d
an=nth term=500th term
a₁=first term=24
n=common difference=31-24=7
n=500
an=24+(500-1)7
   =24+(499)7
   =24+ 3493
   =3517
The 500th term is 3517

Answer:

3517

Step-by-step explanation:

Bob and James are finishing the roof of a house =. Working alone, Bob can shingle the roof in 10 hours. James can shingle the roof in 16 hours. How long will it take them working together to shingle the roof? Round your answer to the nearest hundredth if necessary.A) 13 hours
B) 26.67 hours
C) 6.15 hours
D) 0.04 hours

Answers

Bob can do a tenth of the roof in an hour
James can do a sixteenth in an hour

Bob can do 16/160 of the roof in an hour
James can do 10/160 of the roof in an hour

Together they do 26/160 of the roof in an hour
160/26 = 6.15 (to 2 d.p.)

Solve the following proportion: x+3/2 equal to 7/8

Answers

Step-by-step explanation:

x+ 3/2 = 7/8

3/2 is equivalent to the fraction 12/8

Since the two fractions have common denominators, you can do.

x= 7/8 - 12/8

x=(-5/8)

Hope this helps!!!

Answer:

x = -0.625

Step-by-step explanation:

x+3/2 = 7/8

x + 1.50 = 0.875

x = -0.625

What is 16% of 25?

A.64
B.16
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Answers

Answer is 4 because 100 is divisible by 25 by 4 and 16 is divisible by 4 so the answer is 4
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how many different ways can a band teacher select the lead and co lead trumpet player from a group of 12 trumpet players

Answers

There are 132 ways of selecting them.

What is permutation and combination ?

permutations and combinations, the various ways in which objects from a set may be selected, generally without replacement, to form subsets. This selection of subsets is called a permutation when the order of selection is a factor, a combination when order is not a factor.

According to the question,

So if there are 12 trumpet players, then teacher may take the leader, then, after he's taken, there are 11 ways of picking co-leader.

Multiply both numbers of possibilities

= 12× 11

=132

Hence ,There are 132 ways of selecting them.

To learn more about permutation and combination from here

brainly.com/question/13387529

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So if there are 12 trumpet players, then teacher may take the leader, then, after he's taken, there are 11 ways of picking co-leader.

Multiply both numbers of possibilities -> 12*11=132

There are 132 ways of selecting them.
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