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balandron [24]
2 years ago
7

The table shows the number of championships won by the baseball and softball leagues of three youth baseball divisions organized

by age groups.
Baseball League (B) Softball League (S) Ages 7 – 9 (X) 3 7 Ages 10 – 12 (Y) 2 2 Ages 13 – 15 (Z) 1 1 If the winner is in Baseball League, find the probability that the winning team is in either the Ages 10 - 12 division or the Ages 13 - 15 division. Answer in terms of a reduced fraction.

A. P(Y | B) = a0 a1

B. P(Z | B) = a2 a3

C. P(Y or Z |B) = a4 a5
Mathematics
1 answer:
castortr0y [4]2 years ago
4 0

Answer:


Step-by-step explanation:

heyq


The correct answer is:


7/10


Explanation:


Finding the totals of each column and row, we find:


There are 3+2+1 = 6 children in the baseball league.

There are 7+2+1 = 10 children in the softball league.

There are 3+7 = 10 children in the 7-9 division.

There are 2+2 = 4 children in the 10-12 division.

There are 1+1 = 2 children in the 13-15 division.

There are a total of 10+6 = 16 children.


We start with the information that the team is a member of the softball league.  There are 10 children in this league; this is the denominator of the probability.


There are 7 children in the 7-9 division that are in the softball league.  This gives us the probability 7/10.

please you are a student study well especially graph is easy thing to do.


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ioda

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I am assuming you meant that the old machine made 248 toys in one hour instead of both if that is the case then the answer would be 744.

Steph-by-step explanation:

The new machine makes three times as many as the old machine so 248 times 3 = 744 toys in one hour

3 0
3 years ago
Equation of a circle whose center is at (4,0) and radius is length 2/3
Masteriza [31]
We need (x-h)^2 + (y-k)^2 = r^2

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5 0
2 years ago
If EF = 2x+13, FG = 20, and EG = 71 what's the value of x​
klemol [59]

Answer:

<h2>x = 19</h2><h2></h2>

Step-by-step explanation:

|<----------------- 71 ----------------------->|

E-----------------------F---------------------G

       2x + 13                 20

find: x

EF + FG = DG

2x + 13 + 20 = 71

2x = 71 - 20 - 13

x = 38 / 2

x = 19

6 0
2 years ago
Prime factorization of 1408
V125BC [204]

Answer:

There are 7 copies of 2 and 1 copy of 11 in the product:

1408 = 2^7×11

Step-by-step explanation:

Factor the following integer:

1408

The last digit of 1408 is 8, which means it is even. Therefore 1408 is divisible by 2:

1408 = 2 704:

1408 = 2×704

The last digit of 704 is 4, which means it is even. Therefore 704 is divisible by 2:

704 = 2 352:

1408 = 2×2×352

The last digit of 352 is 2, which means it is even. Therefore 352 is divisible by 2:

352 = 2 176:

1408 = 2×2×2×176

The last digit of 176 is 6, which means it is even. Therefore 176 is divisible by 2:

176 = 2 88:

1408 = 2×2×2×2×88

The last digit of 88 is 8, which means it is even. Therefore 88 is divisible by 2:

88 = 2 44:

1408 = 2×2×2×2×2×44

The last digit of 44 is 4, which means it is even. Therefore 44 is divisible by 2:

44 = 2 22:

1408 = 2×2×2×2×2×2×22

The last digit of 22 is 2, which means it is even. Therefore 22 is divisible by 2:

22 = 2 11:

1408 = 2×2×2×2×2×2×2×11

11 is not divisible by 2 since 11 is odd and 2 is even:

1408 = 2×2×2×2×2×2×2×11 (11 is not divisible by 2)

The sum of the digits of 11 is 1 + 1 = 2, which is not divisible by 3. This means 11 is not divisible by 3:

1408 = 2×2×2×2×2×2×2×11 (11 is not divisible by 2 or 3)

The last digit of 11 is not 5 or 0, which means 11 is not divisible by 5:

1408 = 2×2×2×2×2×2×2×11 (11 is not divisible by 2, 3 or 5)

Divide 7 into 11:

| | 1 | (quotient)

7 | 1 | 1 |  

- | | 7 |  

| | 4 | (remainder)

11 is not divisible by 7:

1408 = 2×2×2×2×2×2×2×11 (11 is not divisible by 2, 3, 5 or 7)

No primes less than 11 divide into it. Therefore 11 is prime:

1408 = 2×2×2×2×2×2×2×11

There are 7 copies of 2 and 1 copy of 11 in the product:

Answer: 1408 = 2^7×11

8 0
3 years ago
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