Answer: y=3
Step-by-step explanation:
the initial statement is
y
∝
1
x
to convert to an equation multiply by k the constant
of variation
⇒
y
=
k
×
1
x
=
k
x
to find k use the given condition
y
=
15
when
x
=
5
y=kx⇒k=y x=15×5=75
equation is
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
∣
∣
∣22y=75x22∣∣
when x=25 then
y=75 25=3
Answer:
Step-by-step explanation:
1. Given the integral function
, using trigonometric substitution, the substitution that will be most helpful in this case is substituting x as
i.e
.
All integrals in the form
are always evaluated using the substitute given where 'a' is any constant.
From the given integral,
where a = 7 in this case.
The substitute will therefore be 
2.) Given 

cross multiplying

3.) Rewriting the given integral using the substiution will result into;


Answer:
30
Step-by-step explanation:
The mean = 28.55, while the standard deviation is 13.16
1. The histogram is an attachment
<h3>How to calculate for the mean of the data set</h3>
We have the following numbers
24 30 4 42 40 26 23 36 12 45 29 21 34 16 47 28 32 54 19 9
The sum of these numbers is given as
571
The total numbers = 20
The mean = 571/20
= 28.55
<h3>2 = How to find the standard deviation</h3>
= (24 - 28.55)2 + ... + (9 - 28.55)/20 - 1
= 3292.95/19
= 173.31315789474
s = √173.31315789474
= 13.164845532506
Read more on mean and standard deviation here:
brainly.com/question/26941429
#SPJ1
.96 = 30%
Divide .96 by 30 to get 1%
Then times that by 100 to get the original price