When dividing 0.006 divided by 0.024 it becomes 0.025, i did it by calculator so dont give me credit for this lol
Conversion.
1 yard = 3 feet
So the fabric has 2 yards. Then the size of the patch is 1/4 foot.
So the number of patches that Marcus used is..
= 3 * 2
= 6 / (1/4)
= 24 patches.
So a total of 24 patches Marcus used.
Answer:
a)
Step-by-step explanation:
Cost function = revenue function - profit function
= -0.3x² + 150x - [-0.5x² + 250x - 300]
= -0.3x² + 150x + 0.5x² - 250x +300
= -0.3x² + 0.5x² + 150x - 250x + 300 {Combine like terms}
= 0.2x² - 100x + 300
Answer:


Step-by-step explanation:
Given

Required
Find all product of real values that satisfy the equation

Cross multiply:


Subtract 7 from both sides


Reorder

Multiply through by -1

The above represents a quadratic equation and as such could take either of the following conditions.
(1) No real roots:
This possibility does not apply in this case as such, would not be considered.
(2) One real root
This is true if

For a quadratic equation

By comparison with 



Substitute these values in 


Add 56 to both sides


Divide through by 4

Take square roots


Hence, the possible values of r are:
or 
and the product is:


Answer:
Critical value: z = 1.28
The 80% confidence interval for the mean repair cost for the washers is between $46.487 and $82.033.
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 1-0.1 = 0.9, so z = 1.28
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.
So

The lower end of the interval is the mean subtracted by M. So 64.26 - 17.773 = $46.487.
The upper end of the interval is M added to the mean. So 64.26 + 17.773 = $82.033.
The 80% confidence interval for the mean repair cost for the washers is between $46.487 and $82.033.