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boyakko [2]
3 years ago
7

If you are selecting courses for next semester and you have 4 options to fill your science requirement, 2 options to fill your d

iversity requirement, 5 options to fill your English requirement and 4 options to fill your math requirement, use the fundamental counting principal or slot diagram to find out how many possible outcomes do you have for schedules.
Mathematics
1 answer:
schepotkina [342]3 years ago
5 0

Answer: 160

Step-by-step explanation:

Given : The options to fill science requirement =4

The options to fill diversity requirement =2

The options to fill English requirement =5

The options to fill math requirement = 4

The Fundamental Counting Principle say that the number of total outcomes is equal to the product of the number of ways of all the events occur in the problem.

Using Fundamental Counting Principle, we have the total number of possible outcomes for the given situation :-

4\times2\times5\times4=160

Hence, the total number of possible outcomes = 160

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What is the area of a semicircle with a diameter of 14
Neporo4naja [7]

Answer:

76.9690 square units (rounded off to four decimal values)

Step-by-step explanation:

The diameter of the semicircle is 14 units

The radius of the semicircle is thus 14 ÷ 2 = 7 units

Area of a semicircle is given by: \frac{1}{2} × π × r²

In our case, the area is = \frac{1}{2} × π × 7² = 76.9690200129  square units

Or 76.9690 square units (rounded off to four decimal values)

8 0
3 years ago
Read 2 more answers
What is the estimated sum of 6/7+4/7<br> A.1/2<br><br> B.1<br><br> C.1 1/2<br><br> D.2
kvv77 [185]

Answer:

1 1/2

Step-by-step explanation:

its 100% correct.

3 0
3 years ago
Write an equation expressing the volume of the box made by paper x by 16 from which a square with side length 2 is cut from each
Furkat [3]

Answer: V = 24*(x - 4) with the condition x > 4.

Step-by-step explanation:

The volme of a cube/box is equal to:

V = W*L*H

where W = width, L = lenght and H = heigth.

First:

We know that the cubes cut in the corner have a side length of 2.

Then the remaining part is folded up, and this is now the height.

So the height of the box is equal to 2.

Now, we know that the initial measures of the piece of paper are x by 16

But now, in each extreme, we subtracted 2 units, that are now the new heiht, so now the piece of paper is (x -2 -2) by (16 -2 - 2)

or (x - 4) by 12.

Then the volume of the box is:

V = (x -4)*12*2 = 24*(x -4)

Notice something, if x is equal or smaller than 4, then we have a negative volume or a volume equal to zero. Those are problems in our model, so we should use the condition x > 4.

8 0
3 years ago
Hollyville Elementary is having a pizza party. The school secretary plans on ordering 25 pizzas. There are 10 classes in the sch
Fittoniya [83]
4. Yes 25 pizza’s are exactly enough
6 0
2 years ago
I know the answer is C. but I need to know how to solve it!
otez555 [7]
Yes you are right it's C)
Notice  that f(-2) = (-2)³ +2( - 2)² + 4(-2) + 8 =0
Then x³+2x²+4x+8 is divisible by (x+2)
Perform this division & you will get:

x³+2x²+4x+8 = (x+2)(x²+4)
 The root of (x+2) is the value that render it nil, that is x=-2
  The root of (x²+4) are imaginary (not real) because
  x²+4 =0 ==> x² = -4 & x=√-4 or x= 2i (nor real).
Hope you understood the reasoning



3 0
3 years ago
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