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never [62]
3 years ago
12

Permutations vs combinations(one step):

Mathematics
1 answer:
Bogdan [553]3 years ago
7 0

Answer:

the expression is: ^{15}P_3=\frac{15!}{(15-3)!}

and 2730 different ways are possible.

Step-by-step explanation:

In the given question we have to choose a president, vice

president, and secretary.

Permutations are used when order is important so, as in the given question order is required. We would use permutations

The formula used is: ^nP_r=\frac{n!}{(n-r)!} where:

n=total number of objects

r=number of objects selected

In our case: n=15, r=3

Putting values and finding the answer:

^nP_r\\^{15}P_3=\frac{15!}{(15-3)!} =2730 \ ways

So, the expression is: ^{15}P_3=\frac{15!}{(15-3)!}

and 2730 different ways are possible.

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I need help <br><br> Evaluate functions from their graph
andreev551 [17]

Answer:

g(7)=4

Step-by-step explanation:

We look for where x=7. The way you find the answer is first, find the point (0, 7). Draw a line straight up and down, and see where that line intersects the function. Those intersection points are your answer(there will always be only 1 for a function, but if a graph isn't a function, there might be more than 1).

Using this method here, we see that g(7) intersects our line at (7, 4), so g(7)=4.

6 0
3 years ago
Explain how you would round the numbers 33 and 89 to accelerate their sum
aleksandr82 [10.1K]
33 rounds to 30 and 89 rounds to 80. 80 x 30= 2400
3 0
4 years ago
Read 2 more answers
Geometry area question. Please help!
timurjin [86]
You can calculate polygon area with only apothem OR side length.

apothem only
area = apothem^2 * 6 * tan (180/6)
area = 10.4^2 * 6 * 0.57735
area = 108.16 * <span> <span> <span> 3.4641 </span> </span> </span>
area = <span> <span> <span> 374.677056 </span> </span> </span> square yards

side length only
area = 6 * 12^2 * / 4*tan(30)
area = 864 / 4 * 0.57735
area = 864 / <span> <span> <span> 2.3094 </span> </span> </span>
area = <span> <span> <span> 374.1231488698 </span> </span> </span> square yards

If apothem and side length were given with more precision, the answers would be closer.

Source:
http://www.1728.org/polygon.htm


5 0
3 years ago
Chloe invests money in an account paying simple interest. She invests $200 and no money is added or removed from the investment.
MissTica

Answer:

2%

Step-by-step explanation:

Chloe's simple interest for 1 year is $4. You can get this by subtracting the amount she invested from the total amount she got after one year.

  • $204 - $200 = $4

Now that we know the simple interest, we can now get the simple interest rate or<em> simple percent interest per year </em>by dividing $4 by $200.

  • $4 ÷ $200 = 0.02

Let's change 0.02 into a percentage.

  • 0.02 x 100 = 2%

This means that every year, her investment will earn a <em>2% simple interest.</em>

6 0
3 years ago
Read 2 more answers
Charlie runs at a speed of 3 yards per second.about how many miles does Charlie run
crimeas [40]
I think since he runs 3 yards per hour per second their are 60 seconds in a minute so 60 times  equals 180 yards per second
5 0
4 years ago
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