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Vera_Pavlovna [14]
4 years ago
8

Three research departments have 9 , 6 , and 8 members, respectively. Each department is to select a delegate and an alternate to

represent the department at a conference. In how many ways can this be done?
Mathematics
1 answer:
erastova [34]4 years ago
6 0
The should be 158 ways, because 9*8+8*7+6*5=158.
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A fair coin is tossed 5 times. what is the probability of at least one? head? round to the nearest? ten-thousandth.
Svetllana [295]
0.968

bc .5(either tails or heads)^{5}(how many times flipped) = 
.03125

1(at least one heads) - .03125 = 0.96875

probability of at least one head is 0.96875
3 0
4 years ago
Ralph is 3 times as old as Sara. In 6 years , Ralph will be only twice as old as Sara will be then. Find Ralph’s age now .
Delvig [45]

Answer:

Ralph's current age is 18.

Step-by-step explanation:

Let r and s represent the current ages of Ralph and Sara respectively.  Our task here is to determine r, Ralph's age now.

If Ralph is 3 times as old as Sara now, then r = 3s.

Six years from now, Ralph's age will be r + 6 and Sara's will be s + 6.  Ralph will be only twice as old as Sara will be then.  This can be represented algebraically as

r + 6 = 2(s + 6).

We now have the following system of linear equations to solve:

r + 6 = 2s + 12, or r - 2s = 6, and r = 3s (found earlier, see above).

r - 2s = 6

r = 3s

Substituting 3s for r in r - 2s = 6, we get 3s = 2s + 6, or s = 6.  Sara is 6 years old now, meaning that Ralph is 3(6 years), or 18 years old.

Ralph's current age is 18.


3 0
3 years ago
Write an expression that matches the words 23 less than the sum of 103 and ten
Fynjy0 [20]

Answer:

103+10-23

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
A group of friends wants to go to the amusement park. They have no more than $165
Oksi-84 [34.3K]

Answer:

17.75x + 5.25 \leq 165

x \leq 9

Step-by-step explanation:

The total cost can be represented by 17.75x + 5.25, where x is the number of people.

They can only spend a maximum of $165, so a less than or equal sign has to be used.

The inequality will be 17.75x + 5.25 \leq 165

Now, solve for x:

17.75x + 5.25 \leq 165

17.75x \leq 159.75

x \leq 9

So, x \leq 9 is the answer, meaning 9 people or less can go to the amusement park.

3 0
3 years ago
Is 6 classified as an integer?​
cupoosta [38]

Answer:

Yes

Step-by-step explanation:

An integer is any whole number.

If this helped I would appreciate it if you marked me Brainliest. thank you and have a nice day!

7 0
3 years ago
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