Square ABCD has side length a. Half circles with
1 answer:
The area of the shaded region is
The area of the shaded region is expressed according to the formula:
Get the area of the square As
As = a²
Take the difference in the areas
Area of the shaded part =
Area of the shaded part =
Hence the area of the shaded region is
Learn more on area of composite objects here: brainly.com/question/22716761
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Answer:
<h2>Step-by-step explanation:
Divide both sides of the equation by 3
Write 7x as a difference
Factor out 3x from the expression
Factor out -4 from the expression
Factor out 2x + 5 from the expression
When the product of factors equals 0 , at least one factor is 0
Solve the equation for X
Move constant to R.H.S and change its sign
Calculate the difference
Divide both sides of the equation by 2
Calculate
Again,
Move constant to RHS and change its sign
Calculate the sum
divide both sides of the equation by 3
Calculate
Hope this helps..
Best regards!!
Answer:
Step-by-step explanation:
Hello!
The variable of interest is
X: The number of emergency service calls made by the volunteer ambulance service of Walterboro, South Carolina for 50 days.
a)
In the first column, you have the possible number of emergency calls made, in the second column, you have the observed absolute frequency (fi) for each value of the variable.
To establish the probability distribution you have to calculate the relative frequency (hi) for each value of X.
The formula for the relative frequency is
hi= fi*n where i= 0, 1, 2, 3, 4
X₁= 0
f₁= 8
h₁= 8/50= 0.16
X₂= 1
f₂= 10
h₂= 0.20
X₃= 2
f₃= 22
h₃= 22/50= 0.44
X₄= 3
f₄= 9
h₄= 9/50= 0.18
X₅= 4
f₅= 1
h₅= 1/50= 0.02
(See attachment)
b)
The variable of interest is a cuantitative discrete variable, so this is an example of a driscrete distribution.
Discrete variables are numerical and take certain numbers within its range of definition, contrary to the continuous variables that can take any value within the range of definition of the variable.
Another example of a discrete variable is "the money", If the variable is "I have at most 10 dollars in my wallet", the range of definition goes from 0 dollars to 10 dollars.
c) To calculate the mean when the data is arranged in a frequency table you have to use the following formula:
X[bar]= ∑Xihi= (0*0.16)+(1*0.2)+(2*0.44)+(3*0.18)+(4*0.02)= 1.7
This means that they expect an average of 1.7 calls per day.
d) The formula for the standard deviation is:
∑X²fi= (0²*8)+(1²*10)+(2²*22)+(3²*9)+(4²*1)= 195
∑Xfi= (0*8)+(1*10)+(2*22)+(3*9)+(4*1)= 85
I hope this helps!
