A random number generator is set to generate integer random numbers between 1 and 10 inclusive following a uniform distribution. What is the probability of the random number generator generating a 7

Answer:

[tex]y-4=\frac{5}{4} (x+2)[/tex]

Step-by-step explanation:

First you can find the slope of the line that would pass through those two points using the formula:

m = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

m = [tex]\frac{3-(-2)}{8-4}[/tex]

m=5/4

Now you can just plug the slope and one of the points into point-slope form for an equation of the line that will pass through both points. You can choose either point here: I'll just use the first one.

So,

[tex]y-4=\frac{5}{4} (x+2)[/tex]

(don't leave out the parentheses!)

Answer:

The percentage of assisted living residents had only depression

P(D) =0.32

Step-by-step explanation:

Explanation:-

Given  the percentage of assisted living residents who had both heart disease and depression was 9%

Let The event 'H' be the event of heart disease and 'D' be the event of depression

P(H ∩D) = 9% =0.09

The  percentage with only heart disease was 25%

P(H) = 0.25

The percentage with either condition was 48%.

P(H∪D) = 48%=0.48

By addition theorem on probability

       [tex]P(H UD) = P(H) +P(D) - P(H n D)[/tex]

              [tex]0.48 = 0.25 + P(D) -0.09[/tex]

            P(D) = 0.48 -0.16

            P(D) = 0.32  

The percentage of assisted living residents had only depression

P(D) =0.32

Answer:

no bro

Step-by-step explanation:

no

Step-by-step explanation:

Given

f(x) = x² - 2x + 3

Now

f(-2) = (-2)² - 2 * ( -2 ) + 3

= 4 + 4 + 3

= 11

f(3) = 3² - 2 * 3 + 3

= 9 - 6 + 3

= 12 - 6

= 6

Hope it helps :)

Answer:

$250

Step-by-step explanation:

$212.50 is 85% of the original price.

Therefore use the equation below to find out original price.

(original price) * 0.85 = 212.50

original price = 212.50 / 0.85 = 250

Answer:

250

Step-by-step explanation:

hope this helps

Answer:2.99 on edge

Step-by-step explanation: i got the question wrong just for the answer hope this helps

Answer:

2.99 on edge

Step-by-step explanation:

Answer:

ok coool

Step-by-step explanation:

i have nothing

The answer for this question would be K=-2J+28. I hoped I helped!

Answer:

K=-2J+28

Step-by-step explanation:

i took the k 12 test

Answer:

Length = 16 or -5 feet.

Width = 5 or -16 feet.

Step-by-step explanation:

Let the length of the concrete pad = l

Let the width of the concrete pad = w

Given the following data;

Area of concrete pad, a = 80ft²

Translating the word problem into an algebraic equation, we have;

[tex] l = 11 + w[/tex]

We know that, the area of rectangle, A = length * width

[tex] A = l*w[/tex]

Substituting the values into the equation, we have;

[tex] 80 = (11 + w)w[/tex]

Expanding the bracket, we have;

[tex] 80 = 11w + w^{2}[/tex]

[tex] w^{2} + 11w - 80 = 0[/tex]

*Solving the quadratic equation by using factorization method*

[tex] w^{2} + 16w - 5w - 80 = 0[/tex]

[tex] w(w + 16) - 5(w + 16) = 0[/tex]

[tex] (w - 5)(w + 16) = 0 [/tex]

Width, w = 5 feet or w = -16 feet.

Therefore, the width of the concrete pad is 5 feet or -16 feet.

To find its length, l;

[tex] l = 11 + w[/tex]

When w = 5 feet

[tex] l = 11 + 5[/tex]

Length, l = 16 feet

When w = - 16 feet

[tex] l = 11 + (-16)[/tex]

[tex] l = 11 - 16[/tex]

Length, l = -5 feet.

Hence, the dimensions of the concrete pad is 16 by 5 feet or -5 by -16 feet.

Answer:

The customer send and receive 15 GB of data during the month.

Step-by-step explanation:

Given;

Monthly charge for 6 GB of data = $67.95

Additional charge for each additional GB of data over 6 GB = $8.95

Bill received by the customer = $148.50

Therefore, we have:

Total amount paid for additional GB of data over 6 GB = Bill received by the customer - Monthly charge for 6 GB of data = $148.50 - $67.95 = $80.55

Additional GB of data over 6 GB = Total amount paid for additional GB of data over 6 GB / Additional charge for each additional GB of data over 6 GB = $80.55 / $8.95 = 9 GB

Total data customer send and receive during the month = 6 GB + Additional GB of data over 6 GB = 6 GB + 9 GB = 15 GB

Therefore, the customer send and receive 15 GB of data during the month.

9514 1404 393

Answer:

  (c)  0.275x-955000

Step-by-step explanation:

The amount exceeding 12,000,000 can be described by ...

  x - 12,000,000

Then 27.5% of that is ...

  0.275(x -12,000,000) = 0.275x -3,300,000

Adding 2,345,000 to that gives the expression ...

  2,345,000 +(0.275x -3,300,000) = 0.275x -955,000

Answer:

              cvfgrtyukjmn

Step-by-step explanation:

Answer:

67 dollars and 20 cents

Step-by-step explanation:

2.10 per thumb cover

32x2.10=67.2

Answer:

if a six controller thumb cover cost 2.10 then you multiply 2.10 by 5 (because if you need 32 then you divide 32/6 and you get 5) 2.10 x 5 would equal 10.50 so that's your answer 10.50

Step-by-step explanation:

Answer:

5 quarters

2 nickels

Step-by-step explanation:

Answer:

5 quarters and 2 nickels.

Step-by-step explanation:

One quarter is equal to 25. 25x5=125. So, it would be 5 quarters because you wouldn't be able to go any farther without going over. One nickel is 5 and if you have 2 nickels you get 10. 10+125=135. So, there will be 2 nickels and 5 quarters.

Hope this helped!

Answer:

-21

Step-by-step explanation:

We can use the opposite operation and subtract 4.3 from -16.9 to find out what w is. From that, we will get -21.

(I'm really sorry, I'm bad at explaining things but I hope this helped)

Answer:

17

Step-by-step explanation: First multiply 2.70 by 5 which would equal 13.50. Then, add 13.50 and 3.50 would equal 17.

Please give brainliest if this helps. Thanks!

Answer:

1% are 5 students

Step-by-step explanation:

21% is 96 then

1% is X

X = 1*96 / 21

X = 5

Answer:

7. x=9, y=7 The first number is 9, and the second number will be 7.

8. h= $2.25 c= $1.19 The cost of each hotdog is $2.25, and the cost of each bag of chips is $1.19.

Step-by-step explanation:

7. First lets define the variables: x=first number; y=the second number

Now we set up a system of equations:

Eq. 1. 2x+y=25  Eq. 2. 3x-y=20

Now we solve (I'm going to use subsitution you can use wtv you are comfortable with)

1. 2x+y=25      1. y=25-2x

Subsitute.

2. 3x-y=20       2. 3x- (25-2x)=20

Simplify.

3x-25+2x=20        5x-25=20          5x=45      x=9

Now solve for y by subsituting x into one of the equations.

1. 2x+y=25      2(9)+y=25       18+y=25      y= 7

The first number is 9, and the second number will be 7.

8. Define the variables.

h= cost of a hotdog; c=cost of a bag of chips

System of Equations:

Eq. 1. 5h+3c=14.82 Eq. 2. 7h+6c=22.89

Now solve.

1. 5h+3c=14.82  2. 7h+6c=22.89

Using subsitution...

h=2.25 c=1.19

The cost of each hotdog is $2.25, and the cost of each bag of chips is $1.19.

Answer:

Angle a is the smallest

Answer:

x/8

Step-by-step explanation:

Answer:

I believe the LCD is 8

Step-by-step explanation:

hope that helps

Answer:

a

Step-by-step explanation:

Answer:

f{3x}=6x-5

Step-by-step explanation:

There isn't really much to do: if you perform the division between function you get a new function:

[tex]h(x)=\dfrac{g(x)}{f(x)}=\dfrac{3x}{2x-5}[/tex]

Answer:

Z score with a confidence level of 95% is 1.96

Step-by-step explanation:

The computation of the z score with the confidence level of 95% is shown below:

While determining the margin of error for the normally distributed population from the sample, the z score of the confidence level of 95% is 1.96

The same is to be considered

Therefore the third option is correct

Answer:

∠F = 80

Step-by-step explanation:

Let's find inner ∠D first, as you can see, it's a straight line but a line is in between, the outer angle is 120, and a straight line is 180, so 180 - 120 = 60. The inner ∠D is 60, now we can find ∠F, a triangle is 180:

40 + 60 + ∠F = 180

100 +∠D = 180

subtract 100 from both sides

∠F = 80

Answer:

DEF/3 = BAC

AC(7) x 3 = 21