Four consecutive odd integers, eh?
Let x be the first of these odd integers. The next odd integer is thus <span>x+2</span>, and the next is <span>x+4</span>, and the last is <span>x+6</span>.
The sum of all four of these is 232, so you have
<span><span><span>x+x+2+x+4+x+6=232</span><span>4x+12=232</span></span></span>
Answer:
8.3
Step-by-step explanation:
Part A
Use the binomial probability distribution formula.
p = 0.54 = probability of getting a purple marble
n = 5 = sample size
x = 2 = number of purple we want to get

The
portion is from the nCr combination formula. The exclamation marks indicate a factorial.
Alternatively, you could use Pascal's Triangle for that portion.
<h3>Answer: 0.283831776</h3>
This decimal value is exact. Round it however you need to.
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Part B
To find the expected value, aka the mean, we multiply the sample size and probability of getting a purple marble on any single selection.
n*p = 5*0.54 = 2.7
<h3>Answer: 2.7</h3>
They can but sometimes they dont
On every 24th day because 6 and 8 are both multiples of every 24th number like 24.
6×4=24 8×3=24
6×8=48 8×6=48
48/2=24
6×12=72 8×9=72
72/3=24 ...... and it keeps going
So the answer is every 24th day Nick will both swim and bike.