**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 deviatio**n 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