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r-ruslan [8.4K]
3 years ago
11

A number cube with six sides is rolled seven times. The probability of getting a 4 exactly twice is ____

Mathematics
1 answer:
9966 [12]3 years ago
5 0

Answer:

1/6

Step-by-step explanation:

The probability of gettins some number in a cube corresponds to 1/6, the cube has six sides.

P(1) =1/6

P(2) =1/6

P(3)=1/6

P(4)= 1/6

P(5)=1/6

P(6)= 1/6

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5. Sketch the solution set of the system x > or equal to 0, y < 3, x - y > 1, y > 2x-1.​
laiz [17]

Answer:

8w-ddje

Step-by-step explanation:

8 0
3 years ago
A circle is circumscribed around a square and another circle is inscribed in the square. If the area of the square is 9 in2, wha
lesantik [10]

Answer:

√2:1

Step-by-step explanation:

First we need to know that the length of the side of the square is equal to the diameter of the inscribed circle i.e

L = di

Given the area of the square to be 9in², we can get the length of the square.

Area of a square = L²

L is the length of the square.

9 = L²

L = √9

L = 3in

Hence the length of one side of the square is 3in

This means that the diameter of the inscribed circle di is also 3in.

Circumference of a circle = π×diameter of the circle(di)

Circumference of inscribed circle = π×3

= 3π in

For the circumscribed circumscribed circle, diameter of the outer circle will be equivalent to the diagonal of the square.

To get the diagonal d0, we will apply the Pythagoras theorem.

d0² = L²+L²

d0² = 3²+3²

d0² = 9+9

d0² = 18

d0 = √18

d0 = √9×√2

d0 = 3√2 in

Hence the diameter of the circumscribed circle (d0) is 3√2 in

Circumference of the circumscribed circle = πd0

= π(3√2)

= 3√2 π in

Hence, ratio of the circumference of the circumscribed circle to the one of the inscribed will be 3√2 π/3π = √2:1

8 0
3 years ago
Use Cramer's Rule to solve the following system: –2x – 6y = –26 5x + 2y = 13
andriy [413]
\bf \begin{cases}
-2x-6y&=-26\\
\quad 5x+2y&=13
\end{cases}\stackrel{\textit{determinant of the coefficients}}{D=
\begin{bmatrix}
-2&-6\\5&2
\end{bmatrix}}\implies (-4)-(-30)
\\\\\\
D=-4+30\implies \boxed{D=26}\\\\
-------------------------------\\\\

\bf x=\cfrac{D_x}{D}\implies x=\cfrac{
\begin{bmatrix}
\boxed{-26}&-6\\\\ \boxed{13}&2
\end{bmatrix}}{D}\implies x=\cfrac{(-52)-(-78)}{26}
\\\\\\
x=\cfrac{-52+78}{26}\implies x=\cfrac{26}{26}\implies \boxed{x=1}\\\\
-------------------------------\\\\
y=\cfrac{D_y}{D}\implies y=\cfrac{
\begin{bmatrix}
-2&\boxed{-26}\\\\ 5&\boxed{13}
\end{bmatrix}}{D}\implies y=\cfrac{(-26)-(-130)}{26}
\\\\\\
y=\cfrac{-26+130}{26}\implies y=\cfrac{104}{26}\implies \boxed{y=4}
4 0
3 years ago
I need help I did most of them but not sure if there right if you could tell me that would be great. Also can you help me with 9
Andrej [43]

Explanation:

In the given identified the following with reasons.

1. Given

2. Corresponding Angles postulate

3. Reflexive property of congruence

4. AA similarity postulate.

5. Triangle proportionate  

6. Cross multiply

7. Distributive property of equality

8. Subtraction property of equality

9. Division property of equality

10. Prove

8 0
3 years ago
Subtract using a number line. 12−(−5) Select the point on the number line to plot the answer.
andreev551 [17]

It 17 but you didn't give me a number line

7 0
3 years ago
Read 2 more answers
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