<h2>
Answer:37 paintings of $50 and 15 paintings of $75</h2>
Step-by-step explanation:
Let
be the number of paintings Ella sells for $
.
Let
be the number of paintings Ella sells for $
.
Profit made through $
paintings is 
Profit made through $
paintings is 
So,total profit is given by 
It is given that total profit is $
So,
..(i)
Given that the total number of prints is 
So,
..(ii)
using (i) and (ii),


Answer:

Step-by-step explanation:

Cancel 4c on both the sides of the equation.

Bring the 2 in the denominator of 11/2 to the left hand side of the equation.

Bring 4 to the right hand side if the equation.


Answer:
We need a sample size of at least 719
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of
.
So it is z with a pvalue of
, so 
Now, find the margin of error M as such

In which
is the standard deviation of the population and n is the size of the sample.
How large a sample size is required to vary population mean within 0.30 seat of the sample mean with 95% confidence interval?
This is at least n, in which n is found when
. So






Rouding up
We need a sample size of at least 719
Answer:
a) Perimeter = 20.5 Inches
Area is 15 Sq Inches
b) Perimeter is 61.4 Cms
Area is 210 Sq cm
c) Perimeter is 22 yards
Area is 21 Sq Yards
Step-by-step explanation:
a) Perimeter = sum of all the sides
= 8+7.5+5
=20.5
Perimeter = 20.5 Inches
Area of Triangle =
Base = 7.5 In
Height = 4 In



Hence Area is 15 Sq Inches
b) Perimeter = Sum of all the sides
P=13+23+13.4+12
P=61.4
Perimeter is 61.4 Cms
Area of trapezium = 



Area is 210 Sq cm
c) Perimeter = Sum of all the sides
P = 7+4+7+4 ( as Opposite sides are equal in a parallelogram
P = 22
Perimeter is 22 yards
Area of a parallelogram = 


Area is 21 Sq Yards