Answer:
The volume of the cone is 128π mm³ ⇒ answer (C)
Step-by-step explanation:
* Lets study the cone
- Its base is a circle
- Its height the perpendicular distance from its vertex to
the center of the base
- The length of its slant height = √(h² + r²)
- The volume of the con is 1/3 the volume of the cylinder
∵ The volume of the cylinder = πr²h
∴ The volume of the cone = (1/3) πr²h
* In our problem:
- r = 4 mm
- h = 24 mm
∴ Its volume = (1/3) × π × (4)² × 24 = 128π mm³
* The volume of the cone is 128π mm³
The probability that both cards are kings is 4/52 times 3/51. This is 12/6256, or 1/221.
Answer:
We conclude that average reflectometer reading for a new type of paint is greater than 20
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 20
Sample size, n = 13
Alpha, α = 0.05
First, we design the null and the alternate hypothesis
Formula:
Degree of freedom = n - 1 = 13 - 1 = 12
Now, we calculate the p-value with the help of standard table.
P-value = 0.004
Since, the p-value is less than the significance level, we fail to accept the null hypothesis and reject it.
Thus, there is enough evidence to support that average reflectometer reading for a new type of paint is greater than 20
Assuming none of the factors is zero, if an odd number of the factors of a multiplication problem have negative signs, then the product will be negative. Otherwise, the product is positive.
Assuming the dividend of a division problem is non-zero, the quotient wil be negative if the signs of the dividend and divisor are differnt. Otherwise the quotient is positive.
In short, if a multiplication or division problem involves an odd number of minus signs, the result will be negative. Otherwise, the result is positive.
If you count after 3:00 a.m the answer is 5:00 p.m
