If each person gets a 1/2 gallon of water, then how many people can share 64 gallons of water?

Answer:

Step-by-step explanation:

x + y = 6 -------------(I)

    y = 6 -x

2.5x + 3.25y = 15.75 -------------(II)

substitute y = 6 - x in equation (II)

2.5x + 3.25*(6 - x) = 15.75      {Distributive property: a(b +c) =a*b + b*c}

2.5x + 3.25*6 - x * 3.25 = 15.75    

2.5x + 19.5 - 3.25x = 15.75

2.5x - 3.25x + 19.5 = 15.75    {Combine like terms}

-0.75x +  19.5 = 15.75

            -0.75x=15.75 - 19.5

           -0.75x = -3.75

                  x = -3.75/-0.75

                  x = 5

Plugin x = 5 in (I)

5 + y = 6

     y = 6 - 5

    y = 1

Answer:

Step-by-step explanation:

x=5c, c=3.14d

x=5(3.14)d

d=x/15.7, x=43.18ft

d=43.18/15.7

d=2.75ft

Answer:

272

Step-by-step explanation:

Answer:

a.) X  ≈ N (0, 12)

b.) Y ≈  exp(2)

c.) The given distribution is not defined.

d.) Not a standard form of any distribution .

Step-by-step explanation:

Given - In parts (a)−(d) below, either use the information given to determine

            the distribution of the random variable, or show that the information

            given is not sufficient by describing at least two different random

            variables that satisfy the given condition.

To find - (a) X is a random variable such that Mₓ(t) = [tex]e^{6t^{2} }[/tex] when |t| < 2.

              (b) Y is a random variable such that  [tex]M_{Y}[/tex](t) = [tex]\frac{2}{2 - t}[/tex] for t < 0.5.

              (c) Z is a random variable such that [tex]M_{Z}[/tex](t) = ∞ for t ≥ 5.

              (d) W is a random variable such that [tex]M_{W}[/tex](2) = 2

Proof -

a.)

As we know that the moment generating function of normal distribution is given by

Mₓ(t) = [tex]e^{ut + \frac{1}{2}t^{2} \sigma^{2}}[/tex]

Now,

Mₓ(t) = [tex]e^{6t^{2} }[/tex]

       = [tex]e^{0(t) + \frac{12}{2} t^{2} }[/tex]

⇒μ = 0, σ = 12

Nd it is represented by

X  ≈ N (0, 12)

b.)

Moment generating function of exponential function is given by

[tex]M_{Y}[/tex](t) = [tex]( 1 - \frac{t}{\theta})^{-1}[/tex]

Now,

 [tex]M_{Y}[/tex](t) = [tex]\frac{2}{2 - t}[/tex] for t < 0.5.

          = [tex]\frac{1}{\frac{2 - t}{2} }[/tex]

          = [tex]\frac{1}{1 - \frac{t}{2} }[/tex]

          = [tex]( 1 - \frac{t}{2} )^{-1}[/tex]

And it is represented by

Y ≈  exp(2)

c.)

Z is a random variable such that [tex]M_{Z}[/tex](t) = ∞ for t ≥ 5.

The given distribution is undefined.

d.)

[tex]M_{W}[/tex](2) = E([tex]e^{2w}[/tex] )

           = [tex]\int\limits^{-\infty}_{\infty} {e^{2w} f(w) } \, dw[/tex]

          = 2

It is not the standard form of any distribution.

Answer:

x = 361/32

Step-by-step explanation:

I'm assuming that "8 x/2" is a mixed number.

Answer: I think it might be A bit Im not sure

Step-by-step explanation:

Answer:

i think its A not suree

Step-by-step explanation:

Answer:

-1, because the number is a negative think like your in debt. which would you like to be in one dollar in debt or ten dollars in b\debt

Step-by-step explanation:

Answer:

4(7 + x)

Step-by-step explanation:

28 + 4x

4 ⋅ 7 + 4x

4(7 + x)

good luck hope this helps :)

Find the greatest common factor for the terms involved in the polynomial.

In this case, the greatest common factor between 28 and 4 is 4.

So a 4 factors out of this polynomial.

That leaves us with each term divided by 4

inside a set of parentheses.

So we have 4(7 + x).

Now you can check your answer by distributing the 4 through

the parentheses and you will end up with your original polynomial.

Answer:

I think it is B. -3x < - 30, but I might be wrong.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

since you see that the line goes from 10 and does not include it it would be x<10

or  because we have to flip sign when multiplying negative -3x>-30

so A

Answer:

csc Θ = - 5/4

Step-by-step explanation:

Consider a coordinate plane. As the range is from 180 to 270, we find that the triangle to be created should be in the 3rd quadrant.

cos Θ = - 3/5

5 ---> hypotenuse

- 3 --> adjacent side

Θ = angle is between the respective sides

We have to find the length of the remaining side, which would be the following:

- √5^2 - (-3)^2 = - √25 - 9

                        = - √16

                        = - 4

Remember csc Θ = Hypotenuse/Opposite =  5/-4 = - 5/4

Answer:

(x + y) (6 x - 9 y + 2)

6 x^2 - 3 x y + 2 x - 9 y^2 + 2 y

1\/24 (12 x - 3 y + 2)^2 + 1\/24 (-225 y^2 + 60 y - 4)

Step-by-step explanation:

its one of these 3 answers

Answer:

b

Step-by-step explanation:

volume = L x W x H

A. 4 x 7 x 8 = 224

B. 8 x 5 x 6 = 240

then you compare the number and see which one is greater

To find volume of a box you use the equation V= L*W*H

Box A-8*7*4= 224 in^3

Box B-6*5*8=240 in^3

Box b has a larger volume

Answer:

the answer isnt on there it would be 870 miles

Step-by-step explanation:

Answer:

c.

Step-by-step explanation:

Answer:

518

Step-by-step explanation:

14 x 74 = 1036      1036 / 2  = 518

( really need brainliest , hope it helps )

( first )

Answer:

$80

Step-by-step explanation:

Answer:

Rounded to the nearest integer, 32 boxes of labels remain at the end of the inventory cycle.

Step-by-step explanation:

Given that there are 125 boxes of prescription bottle labels at the beginning of the inventory cycle, and 25 3/4 remain at the end of it, to determine how many boxes of labels remain the following calculation must be performed:

3/4 = 0.75 + 25 = 25.75

125 x 25.75 / 100 = X

3218.75 / 100 = X

32.1875 = X

Thus, rounded to the nearest integer, 32 boxes of labels remain at the end of the inventory cycle.

Answer:

the answer is 264

Step-by-step explanation:

The answer is 1/5^12.

Multiply the -6 by 2 to get 5^-12. Then, to make the exponent positive, move it to the denominator to get your answer, 1 over 5^12.

Answer:

The last one

Step-by-step explanation:

Answer:

point D

Step-by-step explanation:

4 would be the x axis so look horizontal, 5 is on y axis (y to the sky) so look vertically for 5

Answer:  Point D

===============================================================

Explanation:

We start at the lower left corner, which is the location (0,0)

Then we move to the right four spaces to arrive at (4,0) which is where point L is at right now.

Lastly, we move 5 units up to get to (4,5) which is where point D is located.

Each (x,y) point can be thought of as an address so we can quickly communicate a point's location to someone, even if they don't have the visual in front of them. You can think of it like latitude and longitude. The game of battleship uses a similar concept, but it uses letters as the first coordinate.

Answer:

Step-by-step explanation:

Make sure the denominators are the same.

Subtract the numerators. Put the answer over the same denominator.

Simplify the fraction (if needed).

Answer:

trina used a teaspoon of vegetable oil at most 13 times

Step-by-step explanation:

hope this helps :D

Answer:

18.7

Step-by-step explanation:

fhfhdhsuxudjdejdhdjdjx

Answer:

0.71

Step-by-step explanation:

1st attempt = [tex]\frac{14}{22} = 63%[/tex]%

2nd attempt = [tex]\frac{22}{28} = 79%[/tex]%

To get the average of something, find the sum of the numbers and then divided the sum by the total number of values there are.

⇒ 63 + 79 = 142

⇒ 142 / 2 = 71%  

⇒ 71% = .71

Using confidence interval concepts, it is found that the reasonable estimate for the proportion of all American adults who believe that regular exercise is important is of 0.753.

It is the range in which a parameter is expected to be given a confidence level, has format (a,b), and the point estimate of the parameter is the mean between a and b.

In this problem, the interval is [0.726, 0.780], hence, the estimate is of:

(0.726 + 0.78)/2 = 0.753

You can learn more about confidence interval concepts at https://brainly.com/question/25779324

Answer:

the answer is (6,2)

Step-by-step explanation:

Hope this helps