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NeX [460]
3 years ago
14

Train A arrives at central station on the hour and every 12 minutes. Train B arrives o the hour and every 15 minutes. When do bo

th trains arrive at the same time?
Mathematics
1 answer:
lana [24]3 years ago
7 0

Answer:

Every 30 hours

Step-by-step explanation:

Train A arrives at central station on the hour and every 12 minutes, you mean with that on every 72 minutes

Train B arrives at central station on the hour and every 15 minutes, you mean with that on every 75 minutes

In accordance with the given, the smallest number containing numbers 72 and 75 is  1800 minutes.

When we convert this number of minutes in hours we get:

1800 / 60 = 30 hours

God with you!!!

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A family has 4 children: Ariel, Bob, Chris, and Diana. Assuming that all birth orders are equally likely.
sattari [20]

Answer:

A) 0.5

B) 0.375

C) 0.375

D) 0.167

Step-by-step explanation:

Let's call

a: Ariel

b: Bob

c: Chris

d: Diana

There are 4*3*2*1 = 24 total combinations to order the 4 children

A) Ariel is older than Diana in the following 12 cases:

a b c d

a b d c

a c b d

a c d b

a d b c

a d c b

b a c d

b a d c

b c a d

c a b d

c a d b

c b a d

Then, the probability is 12/24 = 0.5

B) The condition "Ariel is older than Diana, if it is given that Ariel is older than Bob" is satisfied in the six first cases and last three cases of before.

Then, the probability is 9/24 = 0.375

C) Ariel is older than Diana, if it is given that Chris is older than Diana, in the following cases:

a b c d

a c b d

a c d b

a d c b

b a c d

b c a d

c a b d

c a d b

c b a d

Then, the probability is 9/24 = 0.375

D) Ariel is older than Diana, if it is given that Diana is older than Bob, in the following cases:

a c d b

a d b c

a d c b

c a d b

Then, the probability is 4/24 = 0.167

7 0
3 years ago
Read 2 more answers
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre
Contact [7]

Answer:

\dfrac{z-y}{a+b}

Step-by-step explanation:

Given expression:

\dfrac{z^2-y^2}{a^2-b^2}\div \dfrac{z+y}{a-b}

Substitute

a^2-b^2=(a-b)(a+b)\\ \\z^2-y^2=(z-y)(z+y)

into the expression:

\dfrac{(z-y)(z+y)}{(a-b)(a+b)}\div \dfrac{z+y}{a-b}\\ \\ \\=\dfrac{(z-y)(z+y)}{(a-b)(a+b)}\times \dfrac{a-b}{z+y}\\ \\ \\=\dfrac{z-y}{a+b}

4 0
3 years ago
Read 2 more answers
Solve for x.<br><br> 4x = <br> 3<br> 8
gayaneshka [121]

Answer:

Step-by-step explanation:

4x = 38

x= 38/ 4

x = 9 1/2

4 0
3 years ago
Which expression is equivalent to 9a + 12? (1 point)
vlabodo [156]

Answer:

3(3a + 4)

Step-by-step explanation:

Just multiple the different answers and find which one is equal to 9a + 12

5 0
3 years ago
WILL MARK BRAINLIST!!! A scale drawing of a living room is shown below. The scale is 1 : 40. A rectangle is shown. The length of
sveta [45]
Actual length of the room
6 * 40
240 inches

Actual width of the room
4 * 40
160 inches

Area of the room
240 * 160
38400 inches^2
Hope this helps:D
Have a great rest of a brainly day!
4 0
3 years ago
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