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4vir4ik [10]
3 years ago
6

bag contains 15 marbles numbered from 1 to 15. Two marbles are selected from the bag at the same time. Let event E = the two num

bers do NOT differ by 10 How many outcomes are in the complement of E? A) 5 B) 10 C) 25 D) 200
Mathematics
2 answers:
lbvjy [14]3 years ago
7 0
The numbers DO differ by 10 if they are

- 1 and 11
- 2 and 12
- 3 and 13
- 4 and 14
- 5 and 15

Each outcome technically has two ways of occurring, but since we're taking two marbles at a time, that would be the same as saying, for instance, that drawing 1 and 11 is the same as drawing 11 and 1. We only count such an event once.

So the answer is (a) 5.
Kisachek [45]3 years ago
6 0

Answer:

5!

Step-by-step explanation:

The complement of E is when the numbers differ by 10,

(1, 11), (2, 12), (3, 13), (4, 14), (5, 15)

Thus, there are 5 outcomes where the numbers differ by 10.

You might be interested in
amber deposits $870 in an account that has a simple interest rate of 8% per year. After 5 years, how much interest will Amber ha
charle [14.2K]
For simple interest, the formula is I = PRT, where I = interest, P = principal borrowed or deposited, R = rate as a decimal, and T = time in years.

Your information:
I = (870)(0.08)(5)
I = 348

Add the interest to the principal for your total balance

348 + 870 = $1218 will be the total balance in the account.
4 0
3 years ago
The product of two integers is 72.one number is two less than 5 times the other
harkovskaia [24]
X*y=72
x = 5y-2

x=72/y
72/y=5y-2

72=5y^2-2y
5y^2 -2y - 72 = 0
(5y+18)(y-4)=0
y = -18/5 discard
or y = 4
4x=72
x=18

(18,4)
4 0
3 years ago
2+2 so you can get 40 pts I need to just write 20 characters so... ndds8bdsudbsd8s shdds8sjd sudh89hd
Zanzabum

Answer:

2+2 is 4

Step-by-step explanation:

You can imagine 2 cookies and then you get 2 more which is 4.

4 0
3 years ago
Hillary buys 3 pounds of Gala apples and some Granny Smith apples. Both kinds of apples cost $4.50 per pound. The total cost is
Elodia [21]

Answer:

24.75 = 3*4.50 + x*4.50

x= 2.5 pounds of Granny Smith apples

Step-by-step explanation:

Gala apples = 3 lbs

Granny apples = x lbs

They cost 4.50 a pound

Total cost = 24.75

Total cost = gala apples * cost per pound + granny apples * cost per pound

Substitute in what we know

24.75 = 3*4.50 + x*4.50

24.75 = 13.50 + 4.5x

Subtract 13.50 from each side

24.75-13.50 = 13.50-13.50 + 4.5x

11.25 = 4.5x

Divide by 4.50 on each side

11.25/4.5 = 4.5x/4.5

2.5 =x

6 0
3 years ago
Read 2 more answers
A local amusement park charges $21.50 per daily adult ticket and $14.75 per daily child's ticket. A group of 12 people paid $204
grandymaker [24]

Answer:

x+y=12

21.50x+14.75y=204

Step-by-step explanation:

Let x be the number of adult tickets and y be the number of children's tickets.

We are given that there are total 12 people. Therefore, we can set:

x+y=12

Moreover, we are given that an adult ticket costs $21.50 and a child's ticket costs $14.75, therefore, cost of x adult tickets will be 21.50x and cost of y children's ticket will be 14.75y. We can form the second equation by setting the total cost of tickets as:

21.50x+14.75y=204

Therefore, the required system of equations that could be used to find x and y will be:

x+y=12

21.50x+14.75y=204

6 0
3 years ago
Read 2 more answers
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