Answer: 34%
Step-by-step explanation:
Given : The distribution of the number of daily requests is bell-shaped and has a
and
.
We can see that 41 = 35+6 , it 41 is one standard deviation from mean in the right side . (1)
According to the 68-95-99.7% rule, 68% of the population falls within 1 standard deviation from the mean.
34% (half of 68%) of the population on right side and 34% population on the left side of the density curve. (2)
From (1) and (2), the approximate percentage of light bulb replacement requests numbering between 35 and 41= 34%
Answer:
x = 6
Step-by-step explanation:
Angle RPG = (Arc RQ + Arc SC)/2 Interior Secant Theorem
124 = (197 + 9x - 3)/2 Substitution
124 = (194 + 9x)/2 Alg
124 = 97 + 4.5x Alg
27 = 4.5x Alg
x = 6 Alg
Hope this helped! Ask me if you didn't understand something.
For the carpet:
Given:
Area = x^2 + x - 20 ft^2
Length = x+ 5 ft
As a carpet is rectangular, the area is defined as the product of the length and the width. To obtain an expression of the carpet's width, the area is to be divided by the length, which is shown below:
__x_-_4___x + 5|x^2 + x - 20 x^2 + 5x -------- -4x - 20 -4x - 20 -------- 0
Therefore, the expression of width = x - 4.
Applying the value of x = 20 to obtain the measurements of the carpet, we obtain the following:
Width = x - 4 = 20 - 4 = 16ft
Length = x+ 5 = 20 + 5 = 25ft.
Therefore, the carpet is 25ft x 16ft.
For the wall:
The same principles apply to the wall as it is also assumed to be rectangular.
Given:
Area = <span>x^2 + 17x + 30 ft^2
Width = x + 2
To obtain the expression for the wall's length, Area is to be divided by the Width, which is shown below:
__x_+_15______x + 2|x^2 + 17x + 30 x^2 + 2x -------- 15x + 30 15x + 30 --------- 0
Therefore, the expression for the wall's length is x + 15.
Applying the value of x = 20 to obtain the wall's dimensions:
Length = x + 15 = 20 + 15 = 35ft.
Width = x + 2 = 20 + 2 = 22ft.
Therefore the wall has measurements of 35ft x 22ft.</span>
This question is pretty much asking: Write a story that can be represented by the equation y=1.25x.
So, how about this one: Lily's mom tells Lily to clean up her toys. Lily puts toys away at a rate of one toy per every 1.25 seconds.
That's it, simple as that :P
(Sorry if it wasn't too helpful.)
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The given equation is in intercept form:
x/(x-intercept) +y/(y-intercept) = 1
This means the x- and y-intercepts are (4, 0) and (0, -3), respectively. Plot these points and draw the line through them.