(Need answer quickly.) The table represents a linear function. What is the slope of the function?

Using the hypergeometric distribution, it is found that you are going to win approximately 3.33% of the time.

The formula is:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

For this problem, we have that:

You win if you have the 3 correct balls, hence the probability is P(X = 3), found as follows:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 3) = h(3,60,20,3) = \frac{C_{3,3}C_{60,20}}{C_{60,20}} = 0.0333[/tex]

Hence you are going to win approximately 3.33% of the time. The difference is because you considered that only 3 balls would be drawn, and not 20.

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Answer:

-6

Step-by-step explanation:

The equation of the circle that passes through the given points and has its center lying on this line 2x + y = 7 is equal to x² + y² - 10x + 6y - 6 = 0.

Mathematically, the standard form of the equation of a circle is given by;

(x - h)² + (y - k)² = r²

Where:

Assuming the center of this circle lies at (h, k), then we have the following expressions that models the distance from the center of the given circle:

(h - 7)² + (k - 3)² = (h - 11)² + (k - (-1))²

(h - 7)² + (k - 3)² = (h - 11)² + (k + 1)²

(h - 7)² - (h - 11)² = (k + 1)² - (k - 3)²

(h - 7 + h - 11)(h - 7 - h + 11) = (k + 1 + k - 3)(k + 1 - k + 3)

(2h - 18)(4) = (2k - 2)(4)

8h - 72 = 8k - 8

8h - 8k = 64

h - k = 8         .......equation 1.

Since (h, k) lies at 2x + y = 7, we have:

2h + k = 7       .......equation 2.

Solving eqn. 1 and eqn. 2 simultaneously, we have:

h - k = 8

2h + k = 7

3h = 15

h = 15/3

h = 5.

For the value of k, we have:

h - k = 8

5 - k = 8  

k = 5 - 8

k = -3.

Next, we would determine the radius of this circle:

Radius, r² = (h - x)² + (k - y)²

Radius, r² = (5 - 7)² + (-3 - 3)²

Radius, r² = (-2)² + (-6)²

Radius, r² = 4 + 36

Radius, r = √40.

Now, we can write the equation of this circle:

(x - h)² + (y - k)² = r²

(x - 5)² + (y - (-3))² = 40

(x - 5)² + (y + 3)² = 40.

x² - 5x - 5x + 25 + y² + 3y + 3y + 9 - 40 = 0

x² - 10x + 25 + y² + 6y - 31 = 0

x² - 10x + y² + 6y - 6 = 0

x² + y² - 10x + 6y - 6 = 0.

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Answer:

120divide by2=60

3miles only

160 divide by 80=2 hrs

Step-by-step explanation:

Answer:

18 inches equals 45.72 centimeters

Step-by-step explanation:

[tex]1/2.54 = 0.39\\0.39*45.72=18[/tex]

Answer:

The scale factor should be 4

Step-by-step explanation:

sry if it is wrong i needed pionts and had the same problem hope this helps though ((((P:))))))

Answer:

3/4...............

Step-by-step explanation:

have a nice day

Answer: No Solution

Step-by-step explanation: There isn't an option to get x by itself, leaving you with no Solution.

Heres where it fails:

x - 4 = -9 + x

Get X by Itself

x - 4 = -9 + x

-x                -x

-4 = -9

And last time I checked, -4 doesn't equal -9

Answer:

[tex]x \leq -\frac{1}{4}[/tex]

Step-by-step explanation:

I hope this helps!

Answer: c.

Step-by-step explanation: An Irrational Number is a real number that cannot be written as a simple fraction

The property which is being used to go from step 4 to step 5 is associative Property .

In step 4 it is written that 30 + (-19x) -3 = 0

                                         27 - 19x = 0

According to associative Property is we interchange the number with their sign it gives the same solution as this before .

On interchanging we get ,( -19x +30) -3 = 0

                                           - 19x + 27 = 0

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Answer:

lien earned 29950, husband earned 28650

Step-by-step explanation:

you subtract 1300 from the total then divide by 2 and add the 1300 to liens half.

Answer:

  (b)  EF = 5

Step-by-step explanation:

Given point F lies on segment EG, you want to find EF when FG = 12 and EG = 17.

The segment addition postulate tells you the whole is the sum of the parts. That is ...

  EF +FG = EG

  EF +12 = 17 . . . . . substitute given lengths

Subtracting 12 from both sides of the equation, we have ...

  EF = 5

Answer: You would only be able to pick up 50miles worth of signal from the transmitter. P.s. i hope im not wrong

Step-by-step explanation:

Answer:

286.44 miles........

well, the total was really "x", which oddly enough is 100%, but if we include the tip that'd be 100% + 10% = 110%, which we happen to know is $37.40, that's the cost of food and drinks plus tip hmmm so

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x & 100\\ 37.40& 110 \end{array} \implies \cfrac{x}{3740}~~=~~\cfrac{100}{110} \\\\\\ \cfrac{x}{37.40}=\cfrac{10}{11}\implies 11x=374\implies x=\cfrac{374}{11}\implies x=34[/tex]

Answer:$34

Step-by-step explanation:

Answer:

third one

Step-by-step explanation:

Answer:

x = - 6

Step-by-step explanation:

Let's do this quickly,

5(x – 4) = -50

5x - 20 = -50

5x = -50 + 20

x = - 30/5

x = -6

630 gallons of 90% antifreeze has to be mixed.

Sum of values of two solutions = Value of mixture  

90% =0.9 unit value and amount x we get value 0.9x

10%= 0.1 unit value and amount 90 we get value =0.1*90=9

total mixture =0.80 value x+90 we get value 0.8*(x+90)

0.9x + 9 = 0.8(x + 90)  

0.9x + 9 = 0.8x + 90 x 0.8

0.9x – 0.8x = 72 – 9

0.1x = 63

x = 630

Hence, 630 gallons of 90% antifreeze has to be mixed.

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Answer:

3

Step-by-step explanation:

Term are the number and signs to make a problem.

Ex: 4+5=9

all those are terms

Answer: 45

Step-by-step explanation: The right angle is 90 and the total is 180 so that would be 180 - 90 - 45 which would equal 45

Hope this helps :)

Answer: 151 messages

Step-by-step explanation:

each messages cost Layla 10 cents. Which means that 151 x 0.10= 15.10

Answer:

Step-by-step explanation:

Given,

No. of text messages for $4.70 = 47

So, no. of text messages for $1.00 = [tex]\frac{47}{4.7}[/tex]

Therefore,

No. of text messages for $15.10

= [tex]\frac{47}{4.7}[/tex] × 15.10

= 10 × 15.10

= 151

Hence,

The no. of text messages for $15.10 are 151 (Ans)

Answer:

-7 + 10 = 3

Step-by-step explanation:

By using addition and subtraction, we get that, John cannot eat half that is 4 / 8 of the pizza the next day.

Let the total pizza be 1.

On the first day, the fraction of pizza that John ate = 3 / 8

On the next day, the fraction of pizza that John ate = 1 / 4

Total pizza that John ate till now will be calculated using addition:

3 / 8 + 1 / 4

3 / 8 + 2 / 8

5 / 8

Now, the pizza that is left will be calculated by subtracting the pizza that he ate from the total pizza that he had.

1 - 5 / 8

8 / 8 - 5 / 8

3 / 8

We can see that the half pizza is not left.

So, he cannot eat half that is 1 / 2 or 4 / 8 pizza the next day.

Therefore, by using addition and subtraction, we get that, John cannot eat half that is 4 / 8 of the pizza the next day.

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Answer:

9⁶

Step-by-step explanation:

9 is the number you are multiplying

6 is how many times you are multiplying the 9

Answer:9^6

Step-by-step explanation:

count  each time 9 is times to get the answer.

Answer:

Step-by-step explanation:

(x)*g(y)

=(tanx-2/x)*(y²+8)

=y²tanx+8tanx-2y²/x-16/x

The product of two functions f(x)*g(y), when f(x) = tan(x)-2/x and g(x) = x^2+8 is,

[tex]f(x)\times g(y)= y^2\tan(x)+8\tan(x)-\dfrac{2y^2}{x}-\dfrac{16}{x}[/tex]

When the two or more than two functions are multiplies together. Then the resultant function is called the product of these functions.

Let suppose there is a function f(x) and another function g(x). Then the product of function can be written as,

[tex]f(x)\times g(x)[/tex]

Let suppose, a function f(x) is

[tex]f(x)= tan(x)-\dfrac{2}{x}[/tex]

Let another function g(x) is,

[tex]g(x)= x^2+8[/tex]

Then g(y), will be,

[tex]g(y)= y^2+8[/tex]

The product of this two function is,

[tex]f(x)\times g(y)= \left(\tan(x)-\dfrac{2}{x}\right)\times(y^2+8)\\f(x)\times g(y)= y^2\tan(x)+8\tan(x)-\dfrac{2y^2}{x}-\dfrac{16}{x}[/tex]

Thus, the product of two functions f(x)*g(y), when f(x) = tan(x)-2/x and g(x) = x^2+8 is,

[tex]f(x)\times g(y)= y^2\tan(x)+8\tan(x)-\dfrac{2y^2}{x}-\dfrac{16}{x}[/tex]

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