Please help i will be marking branliest

Answer:

a. k = 27

b. k = 216

c. k = 0.216

Step-by-step explanation:

The value of the scale factor can be given by the following formula:

[tex]k = \frac{Final\ Volume}{Initial\ Volume}[/tex]

where,

Initial Volume = 8 cubic units

a.

Final Volume = 216 cubic units

Therefore,

[tex]k = \frac{216\ cubic\ units}{8\ cubic\ units}[/tex]

k = 27

b.

Final Volume = 1 cubic units

Therefore,

[tex]k = \frac{216\ cubic\ units}{1\ cubic\ units}[/tex]

k = 216

c.

Final Volume = 1000 cubic units

Therefore,

[tex]k = \frac{216\ cubic\ units}{1000\ cubic\ units}[/tex]

k = 0.216

Given:

Number of students who has a cat and a dog = 5

Number of students who has a cat but do not have a dog = 11

Number of students who has a dog but do not have a cat = 3

Number of students who neither have a cat nor a dog = 2

To find:

The probability that a student has a cat given that they do not have a dog.

Solution:

Let the following events:

A = Student has a cat

B = Do not have a dog

Total number of outcomes is:

[tex]5+3+11+2=21[/tex]

The probability that a student has a cat but do not have a dog is:

[tex]P(A\cap B)=\dfrac{11}{21}[/tex]

The probability that a student do not have a dog is:

[tex]P(B)=\dfrac{11+2}{21}[/tex]

[tex]P(B)=\dfrac{13}{21}[/tex]

The conditional probability is:

[tex]P\left(\dfrac{A}{B}\right)=\dfrac{P(A\cap B)}{P(B)}[/tex]

[tex]P\left(\dfrac{A}{B}\right)=\dfrac{\dfrac{11}{21}}{\dfrac{13}{21}}[/tex]

[tex]P\left(\dfrac{A}{B}\right)=\dfrac{11}{13}[/tex]

Therefore, the probability that a student has a cat given that they do not have a dog is [tex]\dfrac{11}{13}[/tex].

Answer:

27) 4.2

28) D

Step-by-step explanation:

Answer:

27. A 4.2ft

28. D

Step-by-step explanation:

27. Since this is a right triangle, we can use a^2 + b^2 = c^2

3.1^2 + b^2 = 5.2

b = sqrt(5.2^2 - 3.1^2)

b = 4.2ft A

28. sqrt(10^2 + 50^2) does not equat 54, this is not a right triangle.

Answer:

Hello! answer: b = 99

Step-by-step explanation:

To find b we just have to add 83 + 16 so

83 + 16 = 99 and 99 - 16 = 83 So B = 99

Answer:

B=99

Step-by-step explanation:

in our school school we were told that if a number is on the other side of the equals and it is - when you take it to the other side it will be addition so that is what I've just done hope you understand and if it was addition when we take it to the other side it would be subtraction.

Answer:

2500

so first you have to 100x 10 then times 2.5

Step-by-step explanation:

Answer:

i hope you meant "y" instead of "t" because that would make so much more sense. all you have to do with this is replace "y" in the equation with "x + 3" (this makes the equation x = 3[x + 3] - 2). now, you multiply and combine the like-terms (making x = 3x + 7). you now continue by subtracting 3x from both sides of the equation to make -2x = 7 and dividing to make x = -3.5

Step-by-step explanation:

x = 3(x + 3) - 2

x = 3x + 9 - 2

x = 3x + 7

-2x = 7

x = -3.5

Answer:

hi

Step-by-step explanation:

hi

Answer:

32.17

Step-by-step explanation:

[tex]A= \pi[/tex] × [tex]r^{2}[/tex]

A= [tex]\pi[/tex] × [tex]3.2^{2}[/tex] ≈ [tex]32.16991[/tex]

A= [tex]32.17[/tex]

Answer: 177.4999849 , or 56.5pi

Step-by-step explanation:

You simply divide the diameter by 2 to get the radius (28.25) and then plug into the circumference equation, 2*pi*r = Circumfrence.

Answer:

177.5 inches

Step-by-step explanation:

c = 2πr

d = r2

56.5/2=28.25

28.25x3.14= 88.705

88.705x2=177.41

Round, and you’ll get 177.5.

Answer:

v = 72 km/h

Step-by-step explanation:

Given that,

The distance covered by the Patrick, d = 288 km

Time taken, t = 4 hours

We need to find the average speed of Patrick. We know that the average speed of an object is equal to the total distance covered divided by total time taken. Let it is v. So,

[tex]v=\dfrac{d}{t}\\\\v=\dfrac{288\ km}{4\ h}\\\\v=72\ km/h[/tex]

So, his average speed is equal to 72 km/h.

Answer:Sally hiked 2.16 miles

Step-by-step explanation:

Sally hiked 6 tenths of a 3.6 mile trail.

6 tenths means 6/10

Therefore, Sally hiked   6/10 x 3.6 mile= 2.16 miles

Answer:

B) 60 degrees

Step-by-step explanation:

. If you know the circumference of the circle, divide it by π to get the diameter.

Answer:

A)

Step-by-step explanation:

Answer:

It would be:

4 5/9 x 1/2

4 5/9 x 10/10

4 5/9 x 6

Step-by-step explanation:

Kayaker=12.5, so 12 knots

Commercials=9 commercials per hour

Dog= 7 miles

Tutoring=750 dollars

Answer: 3 years

Step-by-step explanation:

usa test prep

Biased, because some students may not like that color, and thus going off of the most popular opinion is only supporting the most popular color. Adding onto that, not every student even gets to vote since it is only every 4th student.

Answer:

n = 13

Step-by-step explanation:

20= -6+2n

Add 6 to each side

20+6= -6+6+2n

26 = 2n

Divide each side by 2

26/2 = 2n/2

13 =n

Answer:

w=87

Step-by-step explanation:

4x+7=5x-13

7=x-13

x=20

Answer:

1187.52 yd^2

Step-by-step explanation:

SA=2πrh+2πr^2

R=9

H=12

So, 2(3.14)(9)(12)+2(3.14)(9)(9)=1187.57yd^2

Answer:

y = -3/2x + 3

Step-by-step explanation:

y = -3/2x + 3

Answer:

8 - 5x > 6

Step-by-step explanation:

Answer is in the problem:

eight = 8

less than = minus ( - )

five times a number = 5x (dont know the number so we put down "x")

is greater than 6 = > 6

does that make sense?

Answer:

1/2

Step-by-step explanation:

If you have two possible outcomes then the chance you will get heads is 1/2.

Have a wonderful day! :)

Answer:

the difference between x and y is x-y.

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

that just is the answer use pyth theorem them add 8

Answer:

B(3)

Step-by-step explanation:

reorder 1,2,3,4,5

middle number is 3