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cricket20 [7]
2 years ago
6

Jack rolls a number cube twice. What is the probability that the sum of the 2 rolls is less than 8 given that the first roll is

a 4?
one over two

one over six

one over three

five over six
Mathematics
2 answers:
disa [49]2 years ago
8 0
If the first roll is a 4, the possibilities to add less than 8 are that the second cube roll is 1, 2 or 3.

These are 3 different events out of 6 possilbe ones, which is 3 / 6 = 1 / 2; i.e. half of times.

Then the answer is the first option: 1 / 2
nevsk [136]2 years ago
3 0

Answer:  The correct option is (a) one over two.

Step-by-step explanation:  Given that Jack rolls a number cube twice. We are to find the probability that the sum of the 2 rolls is less than 8 given that he first roll is a 4.

A cube rolls 1, 2, 3, 4, 5 and 6. So, the sample space will be

S = {1, 2, 3, 4, 5, 6}.

That is, n(S) = 6.

Since the first roll is a 4, so the options for the second roll are 1, 2 and 3 so that the sum is less than 8.

Therefore, if 'A' is the event that the sum is less than 4, then

A = {1, 2, 3}.

That is, n(A) = 3.

So, the probability of happening of event A is given by

P(A)=\dfrac{n(A)}{n(S)}=\dfrac{3}{6}=\dfrac{1}{2}.

Thus, the required probability is one over half.

Option (a) is correct.

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you buy 6 apples for 2.70. write an equation that can be used to express the relationship between the total price t and the numb
kipiarov [429]

Answer:

t×2.70=6

Step-by-step explanation:

this is only applicable if the price of one apple each is t.

3 0
2 years ago
Emma has 18 yellow flowers and 30 white flowers. She wants to split them into vases in equal groups. What is the largest number
likoan [24]

Answer:

Flowers, yellow flowers, white flowers, group, GCF

For this case we have 18 yellow flowers and 30 white flowers, we must find a number that represents the largest number of groups of flowers that can be formed, bearing in mind that each group must contain the same number of yellow and white flowers. To do this, we must find the GCF (Greatest Common Factor) of yellow flowers and white flowers.

We look for the factors of 18, that is, the numbers for which 18 is divisible, these are:

18, 9, 6, 3, 2 and 1

We look for the factors of 30, that is, the numbers for which 30 is divisible, these are:

30, 15, 10, 6, 5, 3, 2, 1

Thus, we can see that GCF of both numbers is 6.

Then we can form 6 groups of flowers. To know the amount of flowers of each color in each group, we divide:

Thus, 6 groups of flowers can be formed with 3 yellow flowers and 5 white flowers each.

Answer:

The largest number of groups that can be done is 6.

Read more on Brainly.com - brainly.com/question/950582#readmore

Step-by-step explanation:

4 0
2 years ago
The bike shop rents bikes for $5 and 5 per hour. John spends 15 dollars. How many hours did John rent the bike?
cestrela7 [59]
I think it is 15 hours If you wrote better I could've explained better but if that cost $5 per 5 Hour that means you spend $1 per 1 hour so if you spend $15 that mean you used bike for 15 hours
7 0
3 years ago
Read 2 more answers
What is the first step in adding these equations to eliminate y? 5x+6y=9
elena-14-01-66 [18.8K]

multiply all terms in the second equation by 2 to get the coefficient on the y variable to be -6.

2(4x-3y=8)\\8x-6y=16

7 0
3 years ago
The simplest form of 50/8
DiKsa [7]
6 and 2/8 is correct hope this helps.
7 0
3 years ago
Read 2 more answers
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