19) A six-sided die is rolled six times. What is

Mathematics

1 answer:

aleksley [76]3 years ago

4 0

Answer:

Step-by-step explanation:

Probability that the die will show an even number

in one rolling is 3/6=0,5 = p

We have formula for repeating rolling

n!/(r!(n-r)!) p^r (1-p)^(n-r)

n = how many times we repeat rolling = 6

r = how many times we want something to happen

(show an even number exactly two times) = 2

15 *(0,5)^2 *(0,5)^4 = 0,234375

You might be interested in

Find the length of the segment with endpoints of (3,2) and (-3,-6).

MakcuM [25]

The formula of the length of the segment AB:
$A(x_A;\ y_A);\ B(x_B;\ y_B)\\\\|AB|=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}$
We have:
$A(3;\ 2)\to x_A=3;\ y_A=2\\\\B(-3;\ -6)\to x_B=-3;\ y_B=-6$
Substitute:
$|AB|=\sqrt{(-3-3)^2+(-6-2)^2}=\sqrt{(-6)^2+(-8)^2}\\\\=\sqrt{36+64}=\sqrt{100}=10$
Answer: B) 10.

5 0

4 years ago

An ice cream cone is 5" deep and 2" in top diameter. One scoop of vanilla ice cream, 2" in diameter, is placed on the cone. If t

Ratling [72]

If the total volume of the ice cream exceeds the internal volume of the cone, then it will overflow.

Volume of icecream = 4/3 * pi * r^3 = 4/3*pi*(1)^3 = 4.189 cu. in.Volume of cone = 1/3 * pi * r^2 * h = 1/3*pi*(1)^2*5 = 5.236 cu. in.

Since Volume of cone > Volume of icecream, the cone will not overflow.

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

5 0

3 years ago

2. A center-seeking force related to acceleration is _______ force.

steposvetlana [31]

We want to know what force is always pointed towards the center. In order for the motion to be circular, a force must act constantly towards the center of the curvature of the path. It's name comes from Latin: "centrum" is center and "petere", to seek. So we get centripetal force.

5 0

3 years ago

Find x . a.21.4 b. 15.1 c. 32.7 d. 29.2

Alex73 [517]

So this is going to be using proportions, which in this case is going to be $\frac{18}{21} =\frac{25}{x}$