Answer:
C. 28.26cm^3
Step-by-step explanation:
In tne formula V= (1/3) pi*r^2*h,
r represents the <u>radius</u> of the base and h represents thr <u>height</u> of the cone.
In this diagram, R is the radius of the base and H is the height of the cone.
Therefore, simply substitute the value of R into r and the value of H into h using the given formula and round your answer to two decimal places.
Answer:
B
Step-by-step explanation:
You can see that the only difference between the three questions is the charge of the electrons. Electrons are negatively charged and so the answer is just B
Answer:
a)
And we can find this probability with the following difference:
b)
And we can find this probability with the following difference:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Part a
Let X the random variable that represent the diameters of a population 1, and for this case we know the distribution for X is given by:
Where
and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability with the following difference:
Part b
And we can find this probability with the following difference:
Answer:
9n-3
Step-by-step explanation:
Let's set up an expression:
2n-1-(-7n+2)
Now we simplify the expression
2n-1+7n-2
Combine like terms
9n-3
Answer:
8x² - 15y² + xy
Step-by-step explanation:
(4x + 5y) (2x - 3y) + 3xy
multiplying the terms in brackets
(4x) (2x - 3y) + (5y) (2x - 3y) + 3 xy
multiplying with each terms inside the bracket
(4x)(2x) - (4x) (3y) + (5y) (2x) - (5y) (3y) + 3xy
doing the product each of the pair of terms
8x² - 12xy + 10xy - 15y² + 3xy
taking the sum of terms with coefficient "xy"
8x² - 15y² -2xy + 3xy
8x² - 15y² + xy