Answer 2/5. It says there are 5 people and 3 of them have done their hw and 2 have not cause 5-3=2.
let's firstly convert the mixed fractions to improper fractions, and then add.
![\bf \stackrel{mixed}{3\frac{1}{4}}\implies \cfrac{3\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{13}{4}}~\hfill \stackrel{mixed}{2\frac{5}{6}}\implies \cfrac{2\cdot 6+5}{6}\implies \stackrel{improper}{\cfrac{17}{6}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{13}{4}+\cfrac{17}{6}\implies \stackrel{\textit{we'll use the LCD of 12}}{\cfrac{(3)13~~+~~(2)17}{12}}\implies \cfrac{39+34}{12}\implies \cfrac{73}{12}\implies 6\frac{1}{12}](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Bmixed%7D%7B3%5Cfrac%7B1%7D%7B4%7D%7D%5Cimplies%20%5Ccfrac%7B3%5Ccdot%204%2B1%7D%7B4%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B13%7D%7B4%7D%7D~%5Chfill%20%5Cstackrel%7Bmixed%7D%7B2%5Cfrac%7B5%7D%7B6%7D%7D%5Cimplies%20%5Ccfrac%7B2%5Ccdot%206%2B5%7D%7B6%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B17%7D%7B6%7D%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20%5Crule%7B34em%7D%7B0.25pt%7D%5C%5C%5C%5C%20%5Ccfrac%7B13%7D%7B4%7D%2B%5Ccfrac%7B17%7D%7B6%7D%5Cimplies%20%5Cstackrel%7B%5Ctextit%7Bwe%27ll%20use%20the%20LCD%20of%2012%7D%7D%7B%5Ccfrac%7B%283%2913~~%2B~~%282%2917%7D%7B12%7D%7D%5Cimplies%20%5Ccfrac%7B39%2B34%7D%7B12%7D%5Cimplies%20%5Ccfrac%7B73%7D%7B12%7D%5Cimplies%206%5Cfrac%7B1%7D%7B12%7D)
Answer:
dodecagon
Step-by-step explanation:
Answer:
A. Getting tails from a coin toss and drawing a king from a standard
deck of cards.
Step-by-step explanation:
In probability, independent events are two events that do not affect the outcome of the other. In the first option, whether or not tails is flipped in no way changes the likelihood of a king being drawn. So it is independent because each event can be performed independently of the other.
However, all of the other options are "without replacement". This is a common term used to describe dependent events because since the item is not being replaced, the sample size is changed. This changes the probability of the next outcome. They are called dependent events because the second event depends on the first.
Answer:
Equation of a line is y = mx + c
where
m = gradient
c = y intercept
y = -5x + 3
Comparing this equation with the above formula
m = - 5
Since the lines are parallel their gradients are also the same.
So gradient of the parallel line is also 5
That's m = -5
Equation of the parallel line using point
(3, 1) and gradient m = -5 is
y - 1 = -5(x - 3)
y - 1 = -5x + 15
y = -5x + 15 + 1
Final answer is
y = -5x + 16
Hope this helps.
