The mean of the frequency distribution is 6.0 .
In mathematics and statistics, the arithmetic mean or arithmetic average is referred to as the sum of a set of numbers divided by the total number of numbers in the set.
The formula to calculate mean is,
Mean = sum of all observations / total number of observations
x = 4 5 6 7 8
f = 12 1 8 18 4
∑f = 12 + 1 + 8 + 18 + 4 = 43
fx = 48 5 48 126 32
∑fx = 48 + 5 + 48 + 126 + 32 = 259
Mean = ∑fx / ∑f
Mean = 259 / 43
Mean = 6.02
Mean = 6.0 ( After Round Off )
So, we can conclude that the mean of the frequency distribution is 6.0 .
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It is not a right triangle because 21^2+28^2 is not equal to 36^2
[a^2+b^2 must equal c^2)
]
Answer:
.38
Step-by-step explanation:
there are eight possible spaces and three of them are red so the fraction is 3/8 if you make that a decimal it is .375 rounded to the nearest 10th is .38
Answer:
x = 3, y = 7
or (3,7)
Step-by-step explanation:
We are given the system of equations below:
We are required to solve the system by substitution method. What we have to do is to isolate either x-term or y-term so we can use the method. I will be isolating y-term because it is faster due to having 1 as a coefficient.
By isolating y-term, just pick one of the given equations to isolate. No need to isolate the whole system. (I will be isolating y-term of the first equation.)
Then we substitute y = 2x+1 in the second equation.
Use the distribution property.
Isolate x-term to solve the equation.
Since we are solving a system of equations. We have to solve for both x-value and y-value to complete. We have already found x-value, but nor y-value yet. Therefore, our next step is to substitute the value of x that we solved in any given equations. It's recommended to substitute in an equation that doesn't have high coefficient value. So I will be substituting x = 3 in the first equation.
Isolate and solve for y-term.
Since we substitute x = 3 and get y = 7. We can write in ordered pairs as (3,7)
Hence, the solution is (3,7)
Answer:
2.74feet
Step-by-step explanation:
Since we are not told what to find, we can find the height of the plywood
Given the following
length of ramp = 8feet
angle of elevation = 20degrees
Required
Height of the plywood
Using the SOH CAH TOA identity
Sin theta = opposite/hypotenuse
Sin 20 = H/8
H = 8sin20
H = 8(0.3420)
H = 2.74 feet
Hence the height of the plywood is 2.74feet