<u>ANSWER: </u>
In a data set with a range of 55.4 to 105.4 and 400 observations.86 lies in the 49th percentile.
<u>SOLUTION:
</u>
Given, in a data set with a range of 55.4 to 105.4 and 400 observations.
There are 176 observations below the value of 86, and we need to find the percentile for 86.
We know that, percentile formula = 
Percentile of 86 = 
Since, we cancelled 400 with 100 we get 4 , hence above expression becomes,
= 49
So, percentile of 86 = 49
Hence, 86 lies in the 49th percentile.
Answer:
y = 100 - 2.5 x is the equation that represents her total profit from
the project
Step-by-step explanation:
The given is:
1. An electrician earns 100 dollars for a project installing light fixtures
2. She must pay for the light fixtures herself and they cost 2 dollars
and 50 cents each
3. x represent the number of light fixtures and y represent her
total profit
Her profit is the amount of money she has left over after paying for
the light fixtures
∵ The cost of each light fixtures is 2 dollars and 50 cents
- Let us change the cents to dollar
∵ $1 = 100 cents
∴ 50 cents = dollar
∴ 2 dollars and 50 cents = $2.5
∵ Her profit = The money she earns - The money she pays
∴ The cost of each light fixtures = $2.5
∵ She installs x light fixtures
∴ She pays 2.5 x dollar
∵ She earns $ 100 for installing x light fixtures
∵ Her profit is $y
∴ y = 100 - 2.5 x
y = 100 - 2.5 x is the equation that represents her total profit from
the project
Step-by-step explanation:
The area of a parallelogram is simply calculated using
the formula:
A = b * h
Where,
b = length of the base = 45 ft
h = height which is perpendicular to the base = 21 ft
Using the formula, we calculate the total area of the yard.
A = b* h
A = 45 ft * 21 ft
A = 945 ft^2
Now we don’t want to sod the Garden area for the most
obvious reason. The garden has an Area of 105 ft^2, we subtract this to the
total area giving us,
Area to sod = 945 ft^2 – 105ft^2
<span>Area
to sod = 840 ft^2</span>
Answer:
$0.77
Step-by-step explanation:
To find how much each bottle of juice costs, divide 2.31 by 3:
2.31/3
= 0.77
So, each bottle of juice is $0.77
