to be proportional, there must be a constant of proportionality

true or false

Answer: 13/51

Step-by-step explanation: After shuffling there are 52 permutations of 52 cards. Each has the probability of occurrence equal to another, that is the probability of any sequence of cards is 1/52.

Let's count only those where there is a red card on the first place and black card on the second. There are 26 red and 26 black cards. Therefore, we have 26 ⋅26 choices for a pair of two first cards. The sequence of other 50 cards in unimportant and any permutation among them is fine for us since we fixed the first two.

Therefore, we have 26 ⋅ 26 ⋅50 different permutations when the first card is red and the second is black.

Therefore, we have 26 ⋅ 26 ⋅50 different permutations when the first card is red and the second is black.

The final probability, therefore, is

26 ⋅26 ⋅50 / 52 = 26 ⋅26 / 52 ⋅ 51 = 13 / 51

13/51 is the final answer

Answer: You can divide a number by a fraction by flipping over the fraction and multiplying them together.

Step-by-step explanation:

For example:

Lets say we wanted to divide 8 by 3/4

8÷[tex]\frac{3}{4}[/tex]

Change the division symbol into multiplication, and flip over the fraction (a great way to remember doing this is to remember the phrase Copy Dot Flip - Copy the first digit as it is, put a dot for multiplication, and then flip the fraction over)

8 ·[tex]\frac{4}{3}[/tex]

Now, just multiply and reduce/simplify the fraction if needed

Final answer is [tex]\frac{32}{3}[/tex], no need to simplify or reduce

Hope that helps!!

Answer:

<

Step-by-step explanation:

To solve this correctly you need to remember how to compare integers.

Answer: I think it’s f(x)=2x+2

Step-by-step explanation:

Step-by-step explanation:

Answer C)

Explanation:

MN + NP = MP

MP = 39

Therefore, 4(x + 5) + 2x + 1= MP

So, 4(x + 5) + 2x + 1= 39

(4x + 20) + 2x +1 = 39

So, (4x + 2x) + (20 + 1) = 39

6x + 21 = 39

Addition changes to Subtraction

So, 6x = 39 - 21

6x = 18

Multiplication changes to Division

x= 18/6

x=3

Therefore MN = 4(x + 5)

So, 4(3 + 5) = 4(8)

4(8) = 32

Therefore, MN = 32

Hope this helps!

Answer:

32

Step-by-step explanation:

usatestprep answer

Answer:

paying taxes, voting , serving a public office, and obeying the law.

Answer:

x=4

Step-by-step explanation:

9x=36, divide both sides by 9

Answer:

Step-by-step explanation:

9x=22+14

9x=36

x=36/9

x=4

It will be nice if you give me brainliest. Good luck!

Answer:

The answer is "[tex]\bold{\frac{1024}{3}}[/tex]".

Step-by-step explanation:

[tex]= \int\limits^{4}_{-4} \int\limits^{4}_{0} \int\limits^{16}_{x^2} dy\ dx \ dz \\\\= 2 \int\limits^{4}_{0} \int\limits^{4}_{0} \int\limits^{16}_{x^2} dy\ dx \ dz \\\\ = 2 \int\limits^{4}_{0} \int\limits^{4}_{0} (16-x^2) dx \ dz \\\\= 2 \int\limits^{4}_{0} \int\limits^{4}_{0} 16x -\frac{x^3}{3} dx \ dz \\\\= 2 (16x -\frac{x^3}{3})^4_{0} \ dz \\\\= 2 (4) (16x -\frac{64}{3}) \\\\=8(\frac{2}{3} \times 64) \\\\=(\frac{16\times 64}{3} ) \\\\= \frac{1024}{3}[/tex]

The volume of the given solid is [tex]\frac{1024}{3}[/tex] cubic units.

In this question we must use the triple integral formula in rectangular coordinates to determine the volume of the solid ([tex]V[/tex]):

[tex]V = \iiint dy\,dx\,dz[/tex] (1)

The solid is constrained by the following intervals:

[tex]y \in [x^{2}, 16][/tex], [tex]x \in [-4, 4][/tex], [tex]z\in [0, 4][/tex]

Then, the triple integral is now described:

[tex]V = \int\limits_{0}^{4}\int\limits_{-4}^{4}\int\limits_{x^{2}}^{16} dy\,dx\,dz[/tex]

Now we proceed to integrate thrice to obtain the volume:

[tex]V = \int \limits_{0}^{4}\int \limits_{-4}^{4} (16-x^{2})\,dx\,dz[/tex]

[tex]V = \int\limits_{0}^{4} \left(16\cdot x - \frac{x^{3}}{3}\right)\left|\limits_{-4}^{4} dz[/tex]

[tex]V = \frac{256}{3} \int\limits_{0}^{4} dz = \frac{1024}{3}[/tex]

The volume of the given solid is [tex]\frac{1024}{3}[/tex] cubic units.

We kindly invite to check this question on triple integrals: https://brainly.com/question/19484372

Answer:

4

Step-by-step explanation:

2 × 2 = 4

Answer:

75

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

kari had 15 miles 5x3=15

sondra had 60 miles 15x4=60

40-15=45

Answer:

(-7,-10)

Step-by-step explanation:

If you move the point (-8,-5) to the right one, then you would be left with (-7,-5), and then to move it down 5, you get (-7,-10)

Answer:

(-7,-10)

Step-by-step explanation:

I hope this helps, God Bless U

Answer:

114 liters

Step-by-step explanation:

120 x 0.95 = 114

Answer:

2 or 4

Step-by-step explanation:

Since I do not quite understand what you mean by X X, I could think of two answers. If you are doing 5 times X=20, then X = 4, but if you are trying to do 5 times x times x, then x=2.

Answer:

Mr watts needs 7 weeks

Step-by-step explanation:

The average expense per presentation =  $20,000

Since Mr. Watts can give about 7 presentations per week, hence the average expense per presentation for a week = $20000 × 7 = $140000

Also the  cost of meals, motels, jet travel, and support  personnel total $60,000 per week. Hence the total cost per week is:

Total cost = $140000 + $60000 = $200000

The revenue gotten is $40 per person and can take 1000 people per each presentation. Hence:

Revenue per week = $40 per person × 1000 people × 7 days = $280000

Let assume the number of weeks needed to earn $560000 be x. Hence:

280000x - 200000x = 560000

80000x = 560000

x = 7

Answer:

its c

Step-by-step explanation:

The rate of change for the relationship, given the data is -2.25 gallon/min

Velocity is simply defined as the rate of change of displacement with time. Mathematically, it can be expressed as:

Velocity = displacement / time

With the above idea in mind, we can obtain the rate of change for the given relationship. This is illustrated below:

Rate = Change in gallon / change in time

Rate = (36.25 - 38.5) / (8 -7)

Rate = -2.25 / 1

Rate of change = -2.25 gallon/min

Learn more about velocity:

https://brainly.com/question/3411682

#SPJ1

the awnser is -12,x-1{+8}

Answer:

-√5 < x <  √5 .

Step-by-step explanation:

x^2 - 5 < 0

Solving x^2 - 5 = 0

x = √5 and -√5

These are the critical points

The coefficient of x^2 is positive so the graph ( which is a parabola) opens up.

so the region when x^2 - 5 is < 0 is  when  x >  -√5  and < √5

Answer:

D

Step-by-step explanation:

Answer:

The stone covers 36 m in the 5th second. Correct choice: A.

Step-by-step explanation:

Proportions

Two variables are said to be proportional if one of them can be calculated by multiplying the other by a constant of proportionality. If y and x are those variables, then:

y=k.x

There are other similar proportions where the relation is not linear. For example, if y is proportional to the square of x, then:

[tex]y=k.x^2[/tex]

According to the conditions of the question, the distance traveled by a stone dropped from a height of 5 Km varies directly with the square of the time taken to fall through that distance. If d is the distance and t is the time, then;

[tex]d=k.t^2[/tex]

To find the value of k, we use the given condition: The stone falls d=66 meters in t=4 seconds. Substituting:

[tex]64=k.4^2=16k[/tex]

Solving:

[tex]k=64/16=4[/tex]

Substitute the value of k into the equation to get the complete model.

[tex]d=4.t^2[/tex]

Now we calculate the distance when t=5 seconds:

[tex]d=4\cdot 5^2=4\cdot 25=100[/tex]

The stone has covered 100 m in 5 seconds. But we need to find the distance covered in the 5th second, that specific interval between 4 sec and 5 sec.

Since we already know the distance for t=4 sec (64 m), and the distance for t=5 sec (100 m), then:

distance in the 5th second = 100 m - 64 m = 36 m

The stone covers 36 m in the 5th second. Option A.

Answer:

1) 20

Step-by-step explanation:

40% percent of this number is only a small amount.

20

Step-by-step explanation:

40 percent of this number is a small amount

Answer:

14 1/6

Step-by-step explanation:

7(1/3)+ 9(2/6)= 16(2/3)

16(2/3)

16(2/3)-2(1/2)= 14(1/6)

Answer:

14 1/6

Step-by-step explanation:

7 + 9  =16

convert 2/6 = 1/3

1/3 +1/3=2/3+16=

16 2/3 -2 1/2=

Answer:

The answer is

[tex] \huge y + 1 = 15(x - 3) \\ [/tex]

Step-by-step explanation:

To find an equation of a line in point slope form when given the slope and a point we use the formula

[tex]y - y_1 = m(x - x_1)[/tex]

where

m is the slope

( x1 , y1) is the point

From the question we have the final answer as

[tex]y + 1 = 15(x - 3)[/tex]

Hope this helps you

Answer:

13-(5*4)=?

13-20=-7

Step-by-step explanation:

the orginal number is 13 and accordin to the question it has stated that everysteps we have to take out 5 so what i did is that i multiplied 4 by 5 and i a going to subtract it from 13 which i have the result of -7.

Answer:

28

Step-by-step explanation:

first term(a)=13

difference(d)=5

t(4)=?

now,

t(4)=a+(n-1)d

=13+(4-1)5

=13+3×5

=28

Answer:

2.9

Step-by-step explanation:

Hope this helps:)