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omeli [17]
2 years ago
8

Please help it’s easy I think

Mathematics
1 answer:
Nikitich [7]2 years ago
4 0

The frequency of revision times is given by the product of the frequency

density value and the class width.

Correct response:

  • The number of students are <u>72 students</u>

<h3>Methods of calculation using a histogram</h3>

The estimate of the number of students who revised for less than 45

minutes is given by the area, <em>A,</em> under the histogram to the left of the 45

minute mark as follows;

Frequency, f = Frequency density × Class width

Number of students = ∑f

Therefore;

A = 5 × 2 + 10 × 2.2 + 20 × 1.6 + 10 × 0.8 = 72

  • The number of students that revised for less than 45 minutes = <u>72 </u>students

Learn more about histograms here:

brainly.com/question/17139138

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At 3:30 in the afternoon in mid-September the Kimball Tower casts a shadow about 290 feet long when the sun's rays come down at
ioda

Answer:

203 feet.

Step-by-step explanation:

Please find the attachment.

Let h represent the height of the building.

We have been given that at 3:30 in the afternoon in mid-September the Kimball Tower casts a shadow about 290 feet long when the sun's rays come down at an angle about 35 degrees above the horizontal.    

We know that tangent relates opposite side of a right triangle to its adjacent side.

\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}

Upon substituting our given values in above formula, we will get:

\text{tan}(35^{\circ})=\frac{h}{290}

290*\text{tan}(35^{\circ})=\frac{h}{290}*290

290*0.70020753821=h

h=290*0.70020753821

h=203.0601860809

h\approx 203

Therefore, the building is approximately 203 feet high.

 

3 0
3 years ago
A ride on the roller coaster costs 4 tickets while the boat ride only costs 3 tickets. Michael went on the two rides a total of
True [87]
Let x = roller coaster ticket
let y = boat ride ticket

x + y = 10
4x + 3y = 37

x = 10 - y
4x + 3y = 37
4(10-y) + 3y = 37
40 - 4y + 3y = 37
-y = 37 - 40
-y = -3
y = -3/-1
y = 3

x = 10 - y
x = 10 - 3
x = 7

x = 7 ; y = 3

4x + 3y = 37
4(7) + 3(3) = 37
28 + 9 = 37
37 = 37 
6 0
3 years ago
Simplify the expression.
Doss [256]
Distribute 6 thru the parenthesis=

198 pie plus 6 pie

Factor out the perfect square=
Pie 3 to the second power times 22 plus 7 pie 6

Calculate the square root =

3 pie 22 plus 7 pie 6

Which equals to 31.2177

5 0
3 years ago
3 multiply 1 over 3<br><img src="https://tex.z-dn.net/?f=3%20%5Ctimes%20%20%5Cfrac%7B1%7D%7B3%7D%20" id="TexFormula1" title="3 \
nalin [4]
The answer to your question is 3
7 0
3 years ago
Read 2 more answers
Point \blue{A}Astart color blue, A, end color blue is at \blue{(-4, 8)}(−4,8)start color blue, left parenthesis, minus, 4, comma
ASHA 777 [7]

Answer:

The coordinates of point B are (6,7).

Step-by-step explanation:

Given points are

Blue = A(-4,8)

Purple = M(1,7.5)

Green = B

It is given that point M is the midpoint of point A and B.

Let coordinates of points are (a,b).

Midpoint of two points is

Midpoint=(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2})

M=(\dfrac{-4+a}{2},\dfrac{8+b}{2})

Coordinates of midpoint are (1,7.5).

(1,7.5)=(\dfrac{-4+a}{2},\dfrac{8+b}{2})

On comparing both sides we get

1=\dfrac{-4+a}{2}\Rightarrow 2=-4+a\Rightarrow a=6

7.5=\dfrac{8+b}{2}\Rightarrow 15=8+b\Rightarrow b=7

Therefore, the coordinates of point B are (6,7).

6 0
3 years ago
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