Answer:
<h2>____</h2><h3>1260 </h3><h2>____</h2>
Since we have to predict, we can use ratios to help us solve this.
12 said yes out of 72 randomly chosen, SO,
if 210 would say yes (goes to play), how many is total??
12 is to 72 AS 210 is to HOW MUCH (let it be x)??
We can setup ratio, cross multiply, and solve for x:
= 12/72= 210/x
= 12x = 210*72
=12x = 15,120
=x = 15,120/12
<h2>=x =1260</h2>
Answer: We should expect its actual return in any particular year to be between<u> -40%</u> and<u> 80%</u>.
Step-by-step explanation:
Given : The continuously compounded annual return on a stock is normally distributed with a mean 20% and standard deviation of 30%.
From normal z-table, the z-value corresponds to 95.44 confidence is 2.
Therefore , the interval limits for 95.44 confidence level will be :
Lower limit = Mean -2(Standard deviation) = 20% -2(30%)= 20%-60%=-40%
Upper limit = Mean +2(Standard deviation)=20% +2(30%)= 20%+60%=80%
Hence, we should expect its actual return in any particular year to be between<u> -40%</u> and<u> 80%</u>.
Answer:
Scalene, all sides are uneven.
<span>A = hours for plan A
B = hours for plan B</span>
<span>Monday: 6A + 5B = 7
Tuesday: 2A + 3B = 3</span>
use elimination by multiplying the 2nd equation by 3.
Doing that we get 3(2A + 3B = 3) = 6A + 9B
= 9
<span>So the two equations are now:
6A + 9B = 9</span>
6A + 5B = 7
Subtract and we have 4B = 2
B = 2/4 = 1/2 of an hour
Now put 1/2 back into either equation to solve for A
<span>6A + 5(1/2) = 7
6A + 5/2 = 7
6A = 14/2 -5/2
6A = 9/2
divide by 6 to get A = 9/12 = ¾ hours</span>
<span>Plan A = 3/4 hour</span>
<span> Plan B = 1/2 hour</span>