Write a division problem that has a quotient of 3 and a remainder of 28

How many degrees is one rotation that will put a regular pentagon back on top of itself?

Dmitriy789 [7]

If you rotate about the circumcentre of a regular polygon 72° it will overlap with the original image.

8 0

4 years ago

You roll 4 fair, distinguishable, six-sided dice. What is the probability of rolling :______

Vikentia [17]

Answer:

a)0.25

b)0.375

Step-by-step explanation:

Possible outcomes when dice are rolled : 1 ,2 ,3,4,5 ,6

Even= 2,4,6

Odd = 1 ,3 , 5

Probability of getting even = $\frac{3}{6}=\frac{1}{2}$

Probability of getting odd = $\frac{3}{6}=\frac{1}{2}$

4 dices are rolled together

a)P(3 even and 1 odd numbers)

P(3 even and 1 odd numbers)= $^4C_3 (\frac{1}{2})^3 (\frac{1}{2})^1$

P(3 even and 1 odd numbers)= $\frac{4!}{3!1!} (\frac{1}{2})^3 (\frac{1}{2})^1 =0.25$

b)P(2 even and 2 odd numbers)

P(2 even and 2 odd numbers)= $^4C_2 (\frac{1}{2})^2 (\frac{1}{2})^2$

P(3 even and 1 odd numbers)= $\frac{4!}{2!2!} (\frac{1}{2})^2 (\frac{1}{2})^2$ =0.375

6 0

3 years ago

6x – 3y = 8

Nat2105 [25]

Answer:

Step-by-step explanation:

<em>The linear equation where:</em>

$\large \boldsymbol {} \sf y=\underbrace{m}_{slope }x \ +\underbrace{b} _{y -intersept}$

Solution :

$\displaystyle \sf \#13. \\\\ 6x-3y=8 \\\\\ -3y=8-6x \\\\y=-\frac{8-6x}{3} \\\\ \boxed{\sf y=2x-2\frac{1}{3} }} \\\\ slope =2 \\\\ y-intersept =-2\frac{1}{3} \\\\-------------$

$\sf \#14 . \\\\\\ 7x=5y+2 \\\\5y=7x-2 \\\\y =\dfrac{7x-2}{5} \\\\ \boxed{\sf y=1,4x-0,4} \\\\slope = 1,4 \\\\y-intersept =-0,4 \\\\---------------$

$\dispalystye \sf \#15. \\\\ -6y+4x=8 \ |\div2 \\\\-3y+2x=4 \\\\ y=-\dfrac{4-2x}{3} \\\\ y=\boxed{\sf \frac{2x-4}{3} } \\\\slope = \dfrac{2}{3} \\\\ y-intersept = -\dfrac{4}{3 }\\\\ -----------------$

$\sf \#16 .\\\\ x+y=2x+3 \\\\y=2x-x+3 \\\\\boxed{\sf y=1\cdot x+3} \\\\slope =1 \\\\y-intersept =3$

4 0

3 years ago

What’s the median ?<br> Marking Brainliest!!

NemiM [27]

Answer:

I'm not going to give you the answer because you need to learn this on your own because it isn't hard.

Step-by-step explanation:

There are 4 main things you investigate in a number line: the median, the mode, the range, and mean. The median is the middle of your data set. You find the number of all of your data and find out the middle of that number. You find what line it is in on your data set. The range is the variety of numbers in your data set (for yours its 10). The mean is the average of your data set. The mode is the number that pops up the most (in your case, 2).

8 0

4 years ago

Emilio throws a marshmallow into the air from his balcony. The height of the marshmallow (in feet) is represented by the equatio

Murrr4er [49]

Answer:

b trust me

Step-by-step explanation:

trust

8 0

3 years ago