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3 years ago

Compute the permutations and combinations.

1 answer:

5 0

100

From 5 men you can form 5x4x3x2 /(4!) different committes of 4 men = 5 different committes.

From 6 women, you can form 6x5x4 / (3!) different committes of 3 women = 20 different committes.

Total combinations: 5 x 20 = 100.

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Which transformations are needed to change the parent cosine function to y = 3 cosine (10 (x minus pi))?

Alekssandra [29.7K]

Answer:

See Explanation

Step-by-step explanation:

Given

New function: $y = 3 \cos(10 (x -\pi))$

We can assume the parent function to be:

$y = \cos (x)$

The new function can be represented as:

$y = A*\cos((\frac{2\pi}{B})(x-c))$

Where

A = Vertical stretch factor

B = Period

C = Right shift

By comparison:

$y = A*\cos((\frac{2\pi}{B})(x-c))$ to $y = 3 \cos(10 (x -\pi))$

$A = 3$

$c = \pi$

$\frac{2\pi}{B} = 10$

Solve for B

$B = \frac{2\pi}{10}$

$B = \frac{\pi}{5}$

Using the calculated values of $A,\ B\ and\ c.$ This implies that, the following transformations occur on the parent function:

Vertically stretched by $3$
Horizontally compressed by $\frac{\pi}{5}$
Right shifted by $\pi$

5 0

3 years ago

Read 2 more answers

Find the answer? (t-12) x 8 = 97

schepotkina [342]

Answer:

Step-by-step explanation:

(t - 12) x 8 = 97

8t - 96 = 97

8t - 96 + 96 = 97 + 96

8t = 193

t = 24 1/2

6 0

3 years ago

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What is the area of a section of pavement that is 20 ft wide and 80 yd long? Give your answer in square feet.

nadya68 [22]

Answer:

1600 square feet

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Roman55 [17]

Part A:What percentage of the total students surveyed like both watching television and reading?

The total amount of student is 230
The amount of students that like to read and watch television is 80

As a fraction it is 80/230
Turn that to a percentage
It is:34.7826%

Part A=34.7826%

Part B:What is the probability that a student does not like watching television also does not like reading?

On the table it shows 20

So the probability is 20/230

Part B=20/230

6 0

2 years ago

Urgent please help..

zvonat [6]

Answer:

x = 12

Step-by-step explanation:

Here, we want to find the value of x

To do this, we use one of the circle tangent relationships

we have this as:

8^2= 4(4 +x)

8^2 = 16 + 4x

64 = 16 + 4x

64-16 = 4x

4x = 48

x = 48/4

x = 12

8 0

3 years ago