Answer:
Below.
Step-by-step explanation:
To find the number of students in each grade you multiply the marks by the frequency density. The number of students is given by the area under the rectangles.
So to find the number of students with grade U (< 160) it is:
120 * 0.2 + 40*0.5
= 24 + 20
= 44.
The number for Grade E
= (200 - 160) * 0.5
= 40 * 0.5
= 20.
The others can be found in the same way.
Answer:
4 Units.
Step-by-step explanation:
Answer:
The standard form of the parabola is 
Step-by-step explanation:
The standard form of a parabola is
.
In order to convert
into the standard form, we first separate the variables:

we now divided both sides by 2 to remove the coefficient from
and get:
.
We complete the square on the left side by adding 3 to both sides:



now we bring the right side into the form
by first multiplying the equation by
:

and then we multiplying both sides by
to get
.
Here we see that


Thus, finally we have the equation of the parabola in the standard form:

Answer:
13
Step-by-step explanation:

0r
4 + (6/2)^2 = 4+ 3^2 = 4+9 = 13
Answer: the length of one side of the bedroom is 24 feet.
the length of one side of the closet is 3 feet
Step-by-step explanation:
Let x represent the length of one side of the bedroom.
Let y represent the length of one side of the closet.
The sides of the bedroom were 8
times as large as the sides of the closet. This means that
x = 8y
the sum of the areas of the two was
585 square feet. The area of the room is x^2 and the area of the closet is y^2. Therefore,
x^2 + y^2 = 585 - - - -- - - -1
Substituting x = 8y into equation 1, it becomes
(8y)^2 + y^2 = 585
64y^2 + y^2 = 585
65y^2 = 585
y^2 = 585/65 = 9
Take square root of both sides of the equation,
y = √9 = 3
x = 8y = 8×3 = 24