1. When there are two events that need to happen, we must multiply the probability of each event happening.
Shawn losing to Mike: 5/8 chance
Shawn losing to Tim: 2/7 chance
5/8 × 2/7 = 10/56 = 5/28
There's a 5/28 chance of Shawn losing to Mike and Tim.
I don't know #2, sorry :/
Hope this helps!
Answer:
The 95% confidence interval for the true proportion of university students who use laptop in class to take notes is (0.2839, 0.4161).
Step-by-step explanation:
The (1 - <em>α</em>)% confidence interval for population proportion <em>P</em> is:

The information provided is:
<em>x</em> = number of students who responded as"yes" = 70
<em>n</em> = sample size = 200
Confidence level = 95%
The formula to compute the sample proportion is:

The R codes for the construction of the 95% confidence interval is:
> x=70
> n=200
> p=x/n
> p
[1] 0.35
> s=sqrt((p*(1-p))/n)
> s
[1] 0.03372684
> E=qnorm(0.975)*s
> lower=p-E
> upper=p+E
> lower
[1] 0.2838966
> upper
[1] 0.4161034
Thus, the 95% confidence interval for the true proportion of university students who use laptop in class to take notes is (0.2839, 0.4161).
Answer:
$220
Step-by-step explanation:
Make a proportion
We know that 99 over some number (x) must equal 45%
99/x=45/100
Cross multiply
45x=9,900
Divide by 45 on both sides
x=220
So, the tablet costs $220
Hope this helps! :)
Answer:
Step-by-step explanation:
hello :
The east edge cannot intersect with the west edge so :
the west edge and The east edge are paralal same slope but the slope for the line y = 2x + 5 is : 2
so : the line could the east edge be located is : y= 2x+b b : no 5
Answer:
40%
Step-by-step explanation:
15 out of 25 = .60
.60 = 60%
60% + 40% equals 100%