Let
be the random variable for the number of marks a given student receives on the exam.
10% of students obtain more than 75 marks, so

where
follows a standard normal distribution. The critical value for an upper-tail probability of 10% is

where
denotes the CDF of
, and
denotes the inverse CDF. We have

Similarly, because 20% of students obtain less than 40 marks, we have

so that

Then
are such that


and we find

Radius is normally used for a circle
in a circle, radius is the distance form the center of the circle to the outer edge of the circle
area=legnth times width or in square area=legnth times legneth
since this is a square and this is a math problem, we will assume that radius=1/2legnth so
if radius=16 then legnth =2 times 16=32
area=32 times 32=1042
area=1042 square cm or 1042 cm^2
Honestly i just wanted to try this question since ive never seen it but i dont rlly know if i did it right at all
I equaled GH, HI, and GI together to get y
which i got y=-2
and what i got next i feel is off since
GH, HI, and GI all equaled -11
if you kind of know how to do the question maube you could correct me from there but otherwise dont take my word for it completely
Answer:
12/16 and 5/16
Step-by-step explanation:
We are given two fractions with denominator 4 and 16.
To find the least common denominator, of 4 and 16.
Factorise 4 and 16.
4 = 2x2
16 = 2x2x2x2
i.e. 4 divides 16.
Hence Least common denominator = bigger number = 16
Make the given fractions to equivalent fractions with common denominator 16.
3/4 = 4(3)/4(4) = 12/16 and
5/16 = 1(5)/16(1)= 5/16
Hence answer would be
12/16 and 5/16
Similar triangles so AC:BC=AE:DE
15+6=21 = AE
15:12.5=21:?
to get from 15 to 12.5 you divide by 15 and times by 12.5 so do this the to the other side
21/15=1.4
1.4 x 12.5=17.5
So DE=17.5