Answer:
-7pi √3
Step-by-step explanation:
Treating pi as a variable, the simplified value can be written as;
-7pi √3
This can be obtained from using the following simple methodology;
pi(√3 -8 √3)
= pi (-7 √3)
Answer:
The probability of finding an average in excess of 4.3 ounces of this ingredient from 100 randomly inspected 1-gallon samples of regular unleaded gasoline = P(x > 4.3) = 0.00621
Step-by-step explanation:
This is a normal distribution problem
The mean of the sample = The population mean
μₓ = μ = 4 ounces
But the standard deviation of the sample is related to the standard deviation of the population through the relation
σₓ = σ/√n
where n = Sample size = 100
σₓ = 1.2/√100
σₓ = 0.12
The probability of finding an average in excess of 4.3 ounces of this ingredient from 100 randomly inspected 1-gallon samples of regular unleaded gasoline = P(x > 4.3)
To do this, we first normalize/standardize the 4.3 ounces
The standardized score for any value is the value minus the mean then divided by the standard deviation.
z = (x - μ)/σ = (4.3 - 4)/0.12 = 2.5
To determine the probability of finding an average in excess of 4.3 ounces of this ingredient from 100 randomly inspected 1-gallon samples of regular unleaded gasoline = P(x > 4.3) = P(z > 2.5)
We'll use data from the normal probability table for these probabilities
P(x > 4.3) = P(z > 2.5) = 1 - P(z ≤ 2.5) = 1 - 0.99379 = 0.00621
The formula to find the circumference of a circle is C=2*pi*r.
Substitute 9 1/4 or 9.25 for r.
C=2*pi*r
C=2*pi*9.25
C=18.5pi
The circumference of the circle would be 18.5pi.
Answer:
240 cm
Step-by-step explanation:
10 • 18 = 180
18 - 6 = 12
12 • 5 = 60/2 = 30
12 • 5 = 60/2 = 30
180 + 30 + 30 = 240
We are given
length of rectangle is 4x-3
width of rectangle is 6x+9
we know that
Area of rectangle = length of rectangle*width of rectangle
so, we can plug value
and we get
now, we can distribute it
now, we can simplify it
...............Answer
