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lutik1710 [3]
3 years ago
13

You and six friends play a game where each person writes down his or her name on a scrap of paper, and the names are randomly di

stributed back to each person. Find the probability that everyone gets back his or her own name.
Mathematics
1 answer:
Vanyuwa [196]3 years ago
7 0
It would be 1/7 chance cause there are 7 people total but you have the 1 chance that you are going to get your own name
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A tangent line and its normal line have a point of tangency to the function f(x) at (x,y). If the slop of the normal line is m=(
alekssr [168]

Answer:

\displaystyle \\\left(\frac{49}{900},\frac{3761}{900}\right) or approximately (0.544, 4.179)

Step-by-step explanation:

A function and its tangent lines intersect when their slopes are the same. Find the x-coordinate when the slope of f(x) is equal to 8/7 by taking the derivative of f(x):

\displaystyle\\f(x)=\sqrt{x}-x+4\\f'(x)=\frac{1}{2}\cdot\frac{1}{\sqrt{x}}-1=\frac{1}{2\sqrt{x}}-1

Set f'(x) equal to 8/7 and solve for x:

\displaystyle \\\frac{1}{2\sqrt{x}}-1=\frac{8}{7},\\x=\frac{49}{900}

Therefore, f(x) will intersect at a point of tangency with a line of slope 8/7 at x=49/900. Plug in x=49/900 into f(x) to get the y-coordinate:

\displaystyle\\y=\sqrt{x}-x+4 \vert_{x=49/900}=\frac{3761}{900}

⇒Answer: (49/900, 3761/900) or approximately (0.544, 4.179)

5 0
2 years ago
What is the estimate for square root of 22
tigry1 [53]
<span>16=4²
25=5² 
</span>So that means the square root of 22 is between 4 and 5.
Square 4.5 
4.5² = 20.25 
<span>4.5 < √22 < 5
So the nearest whole number would be 5.
</span>
Happy Holidays~
5 0
3 years ago
Iliana is painting a picture. She has green, red, yellow, purple, orange, and blue paint. She wants her painting to have four di
ivanzaharov [21]

The number of ways for which she could pick four colours if green must be one of them is; 10 ways.

<h3>How many ways can she picks four colours if green must be there?</h3>

It follows from the task that there are 6 colours in total that she could pick from.

Hence, since she needs four colours with green being one of them, it follows that she only has 3 colours to pick from 5.

Hence, the numbers of possible combinations is; 5C3 = 10 ways.

Read more on combinations;

brainly.com/question/2280043

#SPJ1

5 0
1 year ago
Select all fo the expressions that are equivilent to 6x + 1 -(3x-1)
IrinaK [193]

6x+1-(3x-1)

  • 6x+1-3x+1
  • 6x-3x+1+1

=3x+2

5 0
2 years ago
State the domain of the function<br> (-3,-1,1,2,4)<br> (-3,-1,1,2,3)<br> {0, 1,3,4,5)<br> {0, 1.4)
dmitriy555 [2]

Answer:

-4/4

Step-by-step explanation:

bc divison

3 0
3 years ago
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