Divide the first equation by 2 and add the result to the second equation. This will eliminate x.
... (-4x -2y)/2 + (2x +4y) = (-12)/2 +(-12)
... 3y = -18 . . . . . collect terms
... y = -6 . . . . . . . divide by 3
Substitute this into either equation to find x. Let's use the second equation, where the coefficient of x is positive.
... 2x +4(-6) = -12
... 2x = 12 . . . . . . . . add 24
... x = 6 . . . . . . . . . . divide by 2
The solution is (x, y) = (6, -6).
The marginal distribution for gender tells you the probability that a randomly selected person taken from this sample is either male or female, regardless of their blood type.
In this case, we have total sample size of 714 people. Of these, 379 are male and 335 are female. Then the marginal probability mass function would be
![\mathrm{Pr}[G = g] = \begin{cases} \dfrac{379}{714} \approx 0.5308 & \text{if }g = \text{male} \\\\ \dfrac{335}{714} \approx 0.4692 & \text{if } g = \text{female} \\\\ 0 & \text{otherwise} \end{cases}](https://tex.z-dn.net/?f=%5Cmathrm%7BPr%7D%5BG%20%3D%20g%5D%20%3D%20%5Cbegin%7Bcases%7D%20%5Cdfrac%7B379%7D%7B714%7D%20%5Capprox%200.5308%20%26%20%5Ctext%7Bif%20%7Dg%20%3D%20%5Ctext%7Bmale%7D%20%5C%5C%5C%5C%20%5Cdfrac%7B335%7D%7B714%7D%20%5Capprox%200.4692%20%26%20%5Ctext%7Bif%20%7D%20g%20%3D%20%5Ctext%7Bfemale%7D%20%5C%5C%5C%5C%200%20%26%20%5Ctext%7Botherwise%7D%20%5Cend%7Bcases%7D)
where G is a random variable taking on one of two values (male or female).
Answer:
Step-by-step explanation:
$5=movie tickets
$3=snacks
they need a total of: $300
standard form is: Ax+By=C
the equation in standard form would be: 5x+3y=300
Answer: 345.4
Step-by-step explanation:
SA=2πr^2+2πrh
SA=2(3.14)(5)^2+2(3.14)(5)(6)
SA=2(3.14)(25)+2(3.14)(30)
SA=2(78.5)+2(94.2)
SA=157+188.4
SA=345.4
Answer:
Option A . 1708 bags
Step-by-step explanation:
The picture of the question in the attached figure
step 1
Find the volume of the silo
The volume of the silo is equal to the volume of a cylinder plus the volume of a cone
so
we have
---> the radius is half the diameter
substitute
Remember that
The silo is approximately 85% full
so
The volume of grain in the silo is
step 2
Find the number of bags of grain
Divide the volume of grain in the silo by the volume of one sack
