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Answer:

[tex]Pr = 6.67\%[/tex]

Step-by-step explanation:

Given

[tex]n = 10[/tex] i.e. 10 people

Required

Probability of being next to each other

First, we calculate the total possible arrangements (without any restriction)

[tex]Total = n![/tex]

[tex]Total = 10![/tex]

If the three are to be next to each other,

First, we arrange the three

[tex]r_1 = 3![/tex]

Now, the 3 will be seen as 1; so, we have a total of 8 people i.e. (1 + 7 others)

The arrangement is:

[tex]r_2 =8![/tex]

So, the total arrangement, when they have to be next to one another is:

[tex]r = r_1 * r_2[/tex]

[tex]r = 3! * 8![/tex]

The probability is:

[tex]Pr = \frac{r}{n}[/tex]

[tex]Pr = \frac{3! * 8!}{10!}[/tex]

Expand

[tex]Pr = \frac{3*2*1 * 8!}{10*9*8!}[/tex]

[tex]Pr = \frac{3*2*1}{10*9}[/tex]

[tex]Pr = \frac{6}{90}[/tex]

[tex]Pr = 0.0667[/tex]

Express as percentage

[tex]Pr = 0.0667 * 100\%[/tex]

[tex]Pr = 6.67\%[/tex]

Answer:

d should be correct

Step-by-step explanation:

why my answer beacuse i see 4in in the painted area

Answer:

Step-by-step explanation:

"half of R" it is:   [tex]\dfrac R2[/tex]

"y cubed" it is:   [tex]y^3[/tex]

Therefore, half of R subtracted from y cubed is:  [tex]y^3-\dfrac R2[/tex]

Answer:

It's D

Step-by-step explanation:

you just look at the end it's says -14. u have to see what numbers should multiply in order to get negative 14, you can use -2 and 7, or -7 and 2, but you have to see what numbers from the -14 will add up -5 because u have five in there, therfore -7+2 equals -5.* This only happens if you have 1 behind the x^2.

Answer:

The equation to this problem is 2,249

Answer:

the answer

Step-by-step explanation:

2249 OR

2,249 ;)))

Answer:

Table 1(red)

Step-by-step explanation:

A proportional relationship will have a constant of proportionality between y and x all through the data given.

Constant of proportionality, k = y/x

Table 1 (red):

y/x = 5/1 = 10/2 = 20/4 = 5

k = 5 all through, therefore, this table show a proportional relationship between x and y

Table 2 (blue):

y/x = 1/6 ≠2/9 ≠ 4/15

This doesn't have a constant of proportionality, k, that is the same all through in the given table of values. Therefore, it doesn't show any proportional relationship between x and y

Answer

the diameter is 44

Step-by-step explanation:

the radius is just half of the diameter so to get the diameter from the radius just multiply it by two.

Answer:

100π m^2

Step-by-step explanation:

Given data

Diameter= 20m

Radius= 10m

The expression for the  area is

Area= πr^2

Area= π*10^2

Area= π*100

Area= 100π m^2

Hence the area is 100π m^2

Answer:

(2,0)

Step-by-step explanation:

2x-y=4 equation 1

3x+y=6 equation 2

5x=10 eliminate y by adding equations

x=2

solve for y

2x-y=4

2(2)-y=4

4-y=4

-y=0

y=0

check answer:

3x+y=6

3(2)+0=6

6=6

Answer: The difference is 21

Step-by-step explanation:

first find the volume of the first rectangler prism and write that number down. secound use the same equation but first change the height by 1 and then lastly subtract those two volumes to get your answer.

210-189=21

189+21=210

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

Use the slope formula:

slope [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex][tex]\frac{1}{3}[/tex]

Let:

[tex](x_1 , y_1) = (-5 , 1)\\(x_2 , y_2) = (4 , 4)\\[/tex]

Plug in the corresponding numbers to the corresponding variables:

[tex]m = \frac{4 - 1}{4 - (-5)} = \frac{3}{4 + 5} = \frac{3}{9}[/tex]

Simplify the fraction. Divide common factors from both the numerator and denominator:

[tex]\frac{(\frac{3}{9} )}{\frac{3}{3} } = \frac{1}{3}[/tex]

[tex]\frac{1}{3}[/tex] is your answer.

~

Answer:

Step-by-step explanation:

Slope:

[tex]\sf{\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Y₂= 4

Y₁=1

X₂= 4

X₁= (-5)

Solve.

4-1/4-(-5)

4-1=3

4+5=9

=3/9

Divide.

3/3=1

9/3=3

=1/3

[tex]\large\boxed{\dfrac{1}{3}}[/tex]

Therefore, the slope is 1/3.

Answer:

angles opposite each other where two lines cross

Step-by-step explanation:

Answer:

.6

Step-by-step explanation:

-2.1-.6=-1.5 / -1 1/2

Answer:

Divide and then multiply the smaller ratio to get an equal ratio to the first one

Step-by-step explanation:

It helps a lot with algebra

Answer:

 Dilate circle A by a scale factor of 3. 

Step-by-step explanation:

In order to show if two triangles are similar you have to translate and dialate one of the triangles to compare it to the other one. So A and D are not it. The formula for C is incorrect so therefore the answer is B. Also i took the test :D

Answer:

4

Step-by-step explanation:

stem is the first number so it would just be all the numbers in the stem 3.

Answer:

y=3 i think

Step-by-step explanation:

Answer:

y=3

SEE IMAGE FOR SOLUTION

Hope it helps

Have a great day

Answer:

√13

Step-by-step explanation:

if you try Pythagorean's theorem for each one, you should get that √13 doesn't work.

Answer:

13

Step-by-step explanation:

Answer:

9. 3 ÷ 4, 9.5, 9. 3 ÷ 8, 9.125

Step-by-step explanation:

Given that

The weight of four puppies are 9.5 9 3 ÷ 8 9.125 9 3 ÷ 4

We need to find out the weight from high to low

So,

First we place the number in decimals

After this, we line all up

Now place the numbers from high to low

The above shows the correct order

Therefore the same would be considered and relevant

Answer:

D

Step-by-step explanation:

The area of the expanded rectangular patio is: D. (0.5l)(0.2w)

Area = (length)(width)

Given the following:

New length = 50% of l = 0.5l

New width = 20% of w = 0.2w

Area of the expanded rectangular patio = (0.5l)(0.2w)

Learn more about area of rectangle on:

https://brainly.com/question/25292087

Answer:

This is really tilted, and I CANNOT see! But it looks like ratio, on one of the parts. Sorry, but I don't know!

Answer:

75

Step-by-step explanation:

We know that 80% of Andrew's (former) baseball card collection is 60. Thus, We divide 60 by 80% (equal to 0.8) to obtain [tex]\frac{60}{0.8}=75[/tex].

Answer:

In total there were 75 cards in Andrews collection.

Step-by-step explanation:

We know that 60 is 80% of the total amount of cards Andrew has. Therefore, all we have to do to find the total number of baseball cards is to divide 60 by 80 to find 1% and then multiply the result by 100 to get 100% (the total amount of cards). And so we get...

60 / 80 x 100 = 60 / 0.8 = 75

Answer:

3.7

Step-by-step explanation:

Acellus