Answer:
x = 9
Step-by-step explanation:
A line segment parallel to a side of a triangle and intersecting the other 2 sides divides the 2 sides in proportion, that is
=
=
( cross- multiply )
8(3x - 20) = 56
24x - 160 = 56 ( add 160 to both sides )
24x = 216 ( divide both sides by 24 )
x = 9
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

Answer: there is nothing shown below
Step-by-step explanation:
Answer:
<u>375 Adult Tickets.</u>
Step-by-step explanation:
Here, we can simply set up an equation using variable <em>x </em>in place of the unknown student/adult tickets.
x = # of <u>adult</u> tickets sold
x + 65 = # of <u>student</u> tickets sold.
1) x + x + 65 = 815 (set both ticket amounts equal to the total)
2) 2x + 65 = 815 (added common variables together)
3) 2x = 750 (negated the +65, subtracted it from both sides)
4) x = 375 (divided both sides by 2)
5) 815 - 375 = 440 (subtracted the x from the total number of <u>adult</u> tickets, to recieve the amount of <u>childrens</u>' tickets.
Therefore,
Since there were fewer adult tickets sold (-65), 375 is the number of adult tickets, and 440 is the number of student tickets.
Answer:
I think the answer may be 465
Step-by-step explanation:
105+115=220
150+95=245
245+220=465