Johnny filled a 5 gallon bucket with water. How many quarts of water does Johnny have?

Answer:

E(X) = 6

Var(X) = 3.394

Step-by-step explanation:

Let X represent the number of carp caught out of the 20 fishes caught. Now, if we are to assume that each

of the (100, 20) ways to catch the 20 fishes will be equally likely.

Thus, we can say that X fulfills a hypergeometric

distribution with parameters as follows;

n = 20, N = 100, k = 30

Formula for expected mean value in hypergeometric distribution is;

E(X) = nk/N

E(X) = (20 × 30)/100

E(X) = 6

Formula for variance is;

Var(X) = (nk/N) × [((n - 1)(k - 1)/(N-1))) + (1 - nk/N)]

Var(X) = ((20 × 30)/100) × [((20 - 1)(30 - 1)/(100 - 1)) + (1 - (20 × 30/100)]

Var(X) = 6 × 0.5657

Var(X) = 3.394

9514 1404 393

Answer:

  105

Step-by-step explanation:

The prism width is (1 3/4)/(1/4) = (7/4)/(1/4) = 7 cubes.

The prism length is (1 1/4)/(1/4) = (5/4)/(1/4) = 5 cubes.

The prism height is (3/4)/(1/4) = 3 cubes.

Then the total number of small cubes required to fill the prism is ...

  V = LWH = (5)(7)(3) = 105

It takes 105 small cubes to make the larger prism.

Answer:

Slope: 5/2 or 2.5

Step-by-step explanation:

1. Put both of the y values together on the top of a fraction and the x values on the bottom.

It should look like this: [tex]\frac{8-3}{-3-(-5)}[/tex]

2. Now you need to simplify the y and x values. -3-(-5) is equal to 2 and 8-3 is 5.

I should now look like this: [tex]\frac{5}{2}[/tex]

3. That could be your answer as a fraction. Or you can take the extra step and  actually divide them. 5 divided by 2 is 2.5.

In the end, you will have a result of 5/2 or 2.5. That it the slope of the line of the points (-5,3) and (-3,8). I hope this helps and you actually understand it. Remember, don't cheat! Always do your best! Good luck!

The given points are:

As we know,

Slope, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

By substituting the values, we get

               [tex]= \frac{8-3}{-3-(-5)}[/tex]

               [tex]= \frac{5}{-3+5}[/tex]

               [tex]= \frac{5}{2}[/tex]

Thus the above answer is right.

Learn more about slope here:

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Answer:

56 miles

Step-by-step explanation:

Answer:

38.5 minutes

Step-by-step explanation:

105 divided by 15=7

7 x 5 minutes and 30 seconds is 38.5 minutes

Answer:

24 units

Step-by-step explanation:

12 to 0

12 to 12

Answer:

30

brainliest??

Step-by-step explanation:

Answer:

x=15

Step-by-step explanation:

3*5=15

15/5=3

Answer:

x = 15

Step-by-step explanation:

x/3 = 5

3* x/3 = 3*5

x=15

Answer: 117

Step-by-step explanation: To figure this out, you would have to multiply 59,000 by 0.3% decimal form which is 0.003

Answer:

60 would be a good inverse for this table, it is best for xy, 60 is the k/p in this equation.

Step-by-step explanation:

Answer:

1.5

Step-by-step explanation:

The formula for inverse variation is xy=k. So i did 3*5 which is 15 and then I did 15*1 which is 15 and 30*0.5 which is 15. So know i know that 10 times something has to equal 15 so i do 15/10 to get 1.5 which is my answer

Answer:

5.4545492e+17

Step-by-step explanation:

aka a really big number

Answer:

2.5 hours

Step-by-step explanation:

Given

The information in the attachment

To solve this question, first we calculate the slope

[tex](t_1,B_1) = (1,19,5\%)[/tex]

[tex](t_2,B_2) = (2,13\%)[/tex]

The slope is:

[tex]m = \frac{B_2 - B_1}{t_2 - t_1}[/tex]

[tex]m = \frac{13\% - 19.5\%}{2-1}[/tex]

[tex]m = \frac{-0.065}{1}[/tex]

[tex]m = -0.065}[/tex]

The equation is calculated as:

[tex]B - b_3 = m(t - t_3)[/tex]

Where

[tex]m = -0.065}[/tex]

[tex](t_3,B_3) = (3,6.5\%)[/tex]

This gives

[tex]B - 6.5\% = -0.065(t - 3)[/tex]

[tex]B - 6.5\% = -0.065t +0.195[/tex]

[tex]B -0.065 = -0.065t +0.195[/tex]

[tex]B = -0.065t +0.195 +0.065[/tex]

[tex]B = -0.065t +0.26[/tex]

To calculate the time at 9.75%.

We take B = 9.75%

So, we have:

[tex]9.75\% = -0.065t +0.26[/tex]

Solve for t

[tex]0.0975= -0.065t +0.26[/tex]

Collect Like Terms

[tex]0.065t= -0.0975 +0.26[/tex]

[tex]0.065t= 01625[/tex]

[tex]t = 0.1625/0.065[/tex]

[tex]t = 2.5[/tex]

Hence, it will take 2.5 hours.

Answer:

3 (9e + 8)

explanation:

3 x 9e = 27e

and

3 x 8 = 24

Both are multiplyed by 3 so your first number is

3 ( ?e + ?)

then the 2ed has e beside so i know thats 9

3 ( 9e + ?)

The final one is 8. 3 x 8 = 24 so there is 24 in the question so the last is 8

3 (9e + 8)  

3(9e+8) is the  expression that is equivalent to 27e + 24.​

An expression is combination of variables, numbers and operators.

We need to find the equivalent fraction of 27e + 24.​

For this let us find the factors of 27 and 24

Factors of 27 are 1,3,9,27

Factors of 24 are 1,2,3,4,6,8,12,24

The greatest common factor is 3.

So in the expression 27e+24 take 3 as common

3(9e+8)

Hence 3(9e+8) is the  expression that is equivalent to 27e + 24.​

To learn more on Expressions click:

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♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex]f(x) = 2x + 3[/tex]

And

[tex]g(x) = 2 \times {3}^{x} \\ [/tex]

_________________________________

To find the y-intercept of any equation just need to put 0 (( zero )) instead of the x in the equation...

_________________________________

In f ( x ) :

[tex]y - intercept = f(0)[/tex]

[tex]f(x) = 2x + 3[/tex]

[tex]f(0) = 2(0) + 3[/tex]

[tex]f(0) = 3[/tex]

Thus :

[tex]y - intercept = 3[/tex]

##############################

In g ( x ) :

[tex]y - intercept = g(0)[/tex]

[tex]g(x) = 2 \times {3}^{x} [/tex]

[tex]g(0) = 2 \times {3}^{0} [/tex]

[tex]g(0) = 2 \times 1[/tex]

[tex]g(0) = 2[/tex]

Thus :

[tex]y - intercept = 2[/tex]

_________________________________

The positive difference in the y-intercept value of f ( x ) and g ( x ) is :

[tex] |3 - 2| = |1| = 1[/tex]

So write this in the box : 1

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And we're done....

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer:

Measure of Angle A is 44.

(x+59)+84+(x+51)=180 is the equation to fine X=-7

Answer:

the angle of the missing angle A = 44

Step-by-step explanation:

I didn't feel like typing out so I put in a screenshot so lemme know if you want me to explain anything :)

hope this helps :)  

Answer:

it should be c

Step-by-step explanation:

Answer:

The sign that makes the sentence true is an equal sign, =.

Answer:

13, 7, 60, 71, 42, 29, 21, 66, 69, 22.

Step-by-step explanation:

Hope it's helpful

Answer: it will be 6 ounces of frozen yogurt and 10 ounces of orange juice.

Step-by-step explanation:

3 parts frozen yogurt

5 parts orange juice For a total of 8 parts divided by 16 ounces = 2 Multiply 3 fy x 2= 6 ounces And multiply 5 oj x 2= 10 ounces

There are 6 ounces of frozen yogurt and 10 ounces of orange juice does he need to get a total of 16 ounces​.

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.

We have to given that;

The recipe calls for three part frozen yogurt to five part orange juice.

Here, The ratio of frozen yogurt to orange juice = 3 : 5

Hence, To get a total of 16 ounces​, we can formulate;

⇒ 3x + 5x = 16

⇒ 8x = 16

⇒ x = 2

Hence, The amount of ounces of frozen yogurt = 3x

                                                                         = 3 × 2

                                                                         = 6

And, The amount of ounces of orange juice = 5x

                                                                    = 5 × 2

                                                                    = 10

Thus, There are 6 ounces of frozen yogurt and 10 ounces of orange juice does he need to get a total of 16 ounces​.

Learn more about the ratio visit:

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Answer:

This simply means that, on a scale of 1 - 100, there is a 20 percent chances that, when Aaron tunes into the radio frequencies in search of a station, he will be able to get one station playing a commercial at that particular time.

For example, at 11:00am each day, him tuning into his favorite radio station would be 20 percent possible to meet one playing a commercial.

Step-by-step explanation:

Using the concept of relative frequency, the interpretation is that over a large number of days, in around 20% of the times he tunes is his favorite station a commercial will be playing.

A similar problem is given at https://brainly.com/question/16967884

Answer: 90

Step-by-step explanation:

Answer:

The length of third side is: 6.3

Step-by-step explanation:

Given triangle is a right triangle where

Base = ?

Perpendicular = 5

Hypotenuse = 8

Let x be the base

As it is a right-angled triangle, Pythagoras theorem can be used to find the third side

[tex]Hypotenuse^2 = Base^2 + Perpendicular^2[/tex]

Putting the known values

[tex](8)^2 = x^2 + (5)^2\\x^2 = (8)^2-(5)^2\\x^2 = 64-25\\x^2 = 39\\[/tex]

Taking square root on both sides

[tex]\sqrt{x^2} = \sqrt{39}\\x = 6.24499[/tex]

Rounding off to the nearest 10th

Base = 6.3

Hence,

The length of third side is: 6.3

Answer:

You download 32 rock songs.

Step-by-step explanation:

*im a 7th grader so dont trust me with this answer lol*

The ratio 5 : 4 can also be written as the fraction 5/4.

The ratio pop songs, 40 : rock songs, r can be written as the fraction 40/r

Set an equation:

40/r = 5/4

Cross Multiply:

5r = 160

Divide 5 from both sides:

r = 32

There you have it, the amount of rock songs downloaded! Hopefully this helps!