Answer:
-3x(x-2) (x+1)
Step-by-step explanation:
-3x^3+3x^2+6x
Factor out the greatest common factor which is -3x
-3x(x^2 -x -2)
Now factor the inside term. What terms multiply together to give you -2 and add to give you -1
-2*1 = -2
-2+1 =-1
-3x(x-2) (x+1)
The jar can hold a total of three tomatoes at a time.
<h3>What is
volume?</h3>
Volume is the amount of space occupied by a three dimensional shape or object.
The tomatoes is spherical with a diameter of 6 cm (radius = 6/2 = 3cm), hence:
Volume of tomatoes = (4/3) * π * radius³ = (4/3) * π * 4³ = 268 cm³
The jar is cylinder with diameter of 8 cm (radius = 8/2 = 4) and a height of 21 cm, hence:
Volume of jar = π * radius² * height = π * 4² * 21 = 1055.6 cm³
Amount of tomatoes that can be contained in jar = 1055.6 cm³ / 268 cm³ = 3.9
The jar can hold a total of three tomatoes at a time.
Find out more on volume at: brainly.com/question/12410983
Answer:
a). The mean = 1000
The variance = 999,000
The standard deviation = 999.4999
b). 1000 times , loss
Step-by-step explanation:
The mean of geometric distribution is given as ,
And the variance is given by,
Given :
= 0.001
The formulae of mean and variance are :
a). Mean =
=
= 1000
Variance =
=
= 999,000
The standard deviation is determined by the root of the variance.
= = 999.4999
b). We expect to have play lottery 1000 times to win, because the mean in part (a) is 1000.
When we win the profit is 500 - 1 = 499
When we lose, the profit is -1
Expected value of the mean μ is the summation of a product of each of the possibility x with the probability P(x).
= $ 0.50
Since the answer is negative, we are expected to make a loss.
Area of circle is πr²
12 = 3.14r²
3.82 = r²
1.95 = r