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Alekssandra [29.7K]
2 years ago
12

D=5 evaluate 4d Help !!!

Mathematics
1 answer:
dedylja [7]2 years ago
7 0

Answer:

20

Step-by-step explanation:

Substitute D=4  into 4 D.

4 x 5 = 20

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A donut store has 11 different types of donuts. You can only buy a bag of 3 of them, where each donut has to be of a different t
MakcuM [25]

Answer:

165.

Step-by-step explanation:

Since repetition isn't allowed, there would be 11 choices for the first donut, (11 - 1) = 10 choices for the second donut, and (11 - 2) = 9 choices for the third donut. If the order in which donuts are placed in the bag matters, there would be 11 \times 10 \times 9 unique ways to choose a bag of these donuts.

In practice, donuts in the bag are mixed, and the ordering of donuts doesn't matter. The same way of counting would then count every possible mix of three donuts type 3 \times 2 \times 1 = 6 times.

For example, if a bag includes donut of type x, y, and z, the count 11 \times 10 \times 9 would include the following 3 \times 2 \times 1 arrangements:

  • xyz.
  • xzy.
  • yxz.
  • yzx.
  • zxy.
  • zyx.

Thus, when the order of donuts in the bag doesn't matter, it would be necessary to divide the count 11 \times 10 \times 9 by 3 \times 2 \times 1 = 6 to find the actual number of donut combinations:

\begin{aligned} \frac{11 \times 10 \times 9}{3 \times 2 \times 1} = 165\end{aligned}.

Using combinatorics notations, the answer to this question is the same as the number of ways to choose an unordered set of 3 objects from a set of 11 distinct objects:

\begin{aligned}\begin{pmatrix}11 \\ 3\end{pmatrix} &= \frac{11 !}{(11 - 3)! \times 3 !} \\ &= \frac{11 !}{8 ! \times 3 !} \\ &= \frac{11 \times 10 \times 9}{3 \times 2 \times 1} = 165\end{aligned}.

5 0
2 years ago
Solve. Check the solution. t/8 = 15 *
sp2606 [1]

Answer:

the answer is 15 I'm positive

8 0
2 years ago
Read 2 more answers
The sum of the squares of three consecutive integers is 509. Determine the integers.
GalinKa [24]

Answer:

12, 13, 14

Step-by-step explanation:

Denote the integers as:

x

x+1

x+2

The sum of their squares, so that would be;

(x^(2)) + (( x + 1 )^(2)) + (( x + 2 )^(2)) = 509

write out the squares

x^2 + x^2 + 2x + 1 + x^2 + 4x + 4 = 509

combine like terms

3x^2 + 6x + 5 = 509

inverse operations

3x^2 + 6x + 5 = 509

                -5     -5

3x^2 + 6x = 504

factor

3x^2 + 6x = 504

3 ( x^2 + 2x ) =504

Inverse operations

3 ( x^2 + 2x ) = 504

/3                       /3

x^2 + 2x = 168

Factor again

x ( x + 2 ) = 168

At this point, it should be obvious that x is 12 (because 12 * 14 = 168)

So now substitute back into the consecutive numbers

x = 12

x + 1 = 13

x + 2 = 14

6 0
3 years ago
17<br> 1 point<br> Write the equation of the line that passes through the points (-2.3) and (-2.5).
Usimov [2.4K]

Answer:

pa pic nyou nalang kung may pic plss

4 0
2 years ago
Aakesh has two bags of marbles. The first bag contains 6 red marbles, 4 blue
Orlov [11]

The answer for the 1st bag is option B = 1/3

The answer for the 2nd bag is option C = 5/9

Number of marbles in 1st bag - 15 (6 red, 4 blue & 5 green)

Number of marbles in 2nd bag - 9 (3 red, 1 blue & 5 green)

The formula of probability = Total number of events in the outcome /total number of outcomes.

Now the probability that Aakesh will select a green marble from the 1st bag is 5(green marbles)/15(total number of marbles in 1st bag)

That is 5/15=1/3

Now the probability that Aakesh will select a green marble from the 2nd bag is 5(green marbles)/9(total number of marbles in 1st bag)

That is 5/9

To know more about probability go to -  https://brainly.in/question/17157610?msp_poc_exp=6

7 0
1 year ago
Read 2 more answers
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