You get imaginary roots for this equation.
x=4-5i
x=4+5i
Answer:
Mean = 1.57
Variance=0.31
Step-by-step explanation:
To calculate the mean and the variance of the number of successful surgeries (X), we first have to enumerate the possible outcomes:
1) Both surgeries are successful (X=2).
2) Left knee unsuccessful and right knee successful (X=1).
3) Right knee unsuccessful and left knee successful (X=1).
4) Both surgeries are unsuccessful (X=0).
Then, the mean can be calculated as the expected value:
The variance can be calculated as:
The number representing Liam's share is 2; for Sarah's share, it is 3. The difference of those is 1, so each 1 unit of share must be £30, the difference between the amount Sarah got and the amount Liam got.
Emily got 5 shares or £30 × 5 = £150.
Answer:
2 times 30.
Step-by-step explanation:
The choices are not attached but we can solve the problem from the given information
Answer:
The expression can be used to find h is
The height of the cone is cm
Step-by-step explanation:
The formula of the volume of the cone is V = π r² h, where
- r is the radius of its base
- h is the height of it
Let us find the height of the cone from the formula of its volume
∵ V = π r² h
- Multiply both sides by 3
∴ 3 V = π r² h
- Divide both sides by π r²
∴
- Switch the two sides
∴
The expression can be used to find h is
∵ The radius of the cone is 7 cm
∴ r = 7
∵ The volume of the cone is 147 cm³
∴ V = 147
- Substitute them in the expression of the height to find it
∵
∴ h = cm
The height of the cone is cm