Probability works for any given number, so we will assume there are 100 students. Of those 100, 85 of them studied. Since 75% of 85 students passed, we will multiply 85 by 0.75. This gives us 60. So of the students who studied, 60 of them passed. Of the 15 students that didn’t study, 30 percent passed. So we multiply 15 by 0.3. This gives us 4.5 students. Add up 60 and 4.5, and you get 64.5. The probability of passing is 64.5%. If you want to round up, it would be 65%. If you want to round down, it would be 64%. But the most precise answer is 64.5%.
The answer is -7+19i because of the procedure used in math
You have to build an equation to find the answer,
angles in a straight line add upto 180°
so your equation would be,
12x+30°=180°
-30 -30
=12x=150°
÷12 ÷12
=x=12.5°
now find the measures of the angles by using 12.5 as x.
angle EAF= 2x
=2×12.5
=25° degrees
angle DAE= 4x
=4×12.5
=50°degrees
angle CAD=6x
=6×12.5
=75°degrees
check,
30+25+50+75=180°degrees
hope this helps.......
Answer: b. Only statement (ii) is correct.
Step-by-step explanation:
The given five-number summary of the ages of passengers on a cruise ship is listed below.
Min 1
20 Median 29
38 Max 80
Inter-quartile range = 
- According to the 1.5(IQR) criterion for outliers : An data value is an outlier if it lies below
or above
.
Here , 

Since the minimum value>
( ∵ 1 > -7)
It means there is no value below
, so there is no low -outlier.
⇒ Statement (i) "here is at least one passenger whose age is a low outlier. " is false.
But the maximum value >
(∵ 85 > 65)
It means there are values above
.
⇒Statement (ii) "There is at least one passenger whose age is a high outlier" is true.
Hence, the correct answer is b. Only statement (ii) is correct.