Answer:
2
Step-by-step explanation:
6 quarters is 1.50
Now you have 1.02
You have a least 2 pennies,
5 times 2 is $1.00
So that leaves 2¢ left over for the pennies
Simplifying
x + 0.7 = 1 + -0.2x
Reorder the terms:
0.7 + x = 1 + -0.2x
Solving
0.7 + x = 1 + -0.2x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '0.2x' to each side of the equation.
0.7 + x + 0.2x = 1 + -0.2x + 0.2x
Combine like terms: x + 0.2x = 1.2x
0.7 + 1.2x = 1 + -0.2x + 0.2x
Combine like terms: -0.2x + 0.2x = 0.0
0.7 + 1.2x = 1 + 0.0
0.7 + 1.2x = 1
Add '-0.7' to each side of the equation.
0.7 + -0.7 + 1.2x = 1 + -0.7
Combine like terms: 0.7 + -0.7 = 0.0
0.0 + 1.2x = 1 + -0.7
1.2x = 1 + -0.7
Combine like terms: 1 + -0.7 = 0.3
1.2x = 0.3
Divide each side by '1.2'.
x = 0.25
Simplifying
x = 0.25
I only know 1 way.
<span>SALES: 5x² + 2x – 80
</span>- COST: 5x² – x + 100
= ------------------
PROFIT: 0x²+3x-180
(+3x because we subtracted a negative (-x), which is called adding, similarly taking away 100 from negative 80 is -180.)
Checking:
5x² + 2x – 80
5(500)²+2(500)-80 = 1,250,920
5x² – x + 100
5(500)² – (500) + 100= 1,249,600
Profit = 1,250,920 - 1,249,600 = 1,320
0(500)²+3(500)-180 = 1,320 YAY! {:-)
Double Checking:
5x² + 2x – 80
5(5000)²+2(5000)-80 = 125,009,920
5x² – x + 100
5(5000)² – (5000) + 100= 124,995,100
Profit = 125,009,920 - 124,995,100 = 14,820
0(5000)²+3(5000)-180 = <span>14,820</span> YAY! {:-)
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).
The answer is .48 because 6/15 is 4. which means .48 is bigger
