Answer:
[tex]Mean = 9.3[/tex]
Step-by-step explanation:
Given
Let accidents reported be represented by x and the frequency be represented by f
x ----- f
0-5 -- 9
6-10 -- 10
11-15 -- 6
16-20 -- 6
Required
Calculate the Mean;
To calculate the mean of a grouped data, the first step is to calculate the midpoint of the observation;
When x = 0 - 5
Midpoint = 0.5(0 + 5) = 0.5 * 5 = 2.5
When x = 6 - 10
Midpoint = 0.5(6 + 10) = 0.5 * 16 = 8
When x = 11 - 15
Midpoint = 0.5(11 + 15) = 0.5 * 26 = 13
When x = 16 - 20
Midpoint = 0.5(16 + 20) = 0.5 * 36 = 18.
So, the new table is as follows;
x ------- f
2.5 ---- 9
8 ----- 10
13 ------ 6
18 ------ 6
Mean is calculated by ∑fx/∑f
Where ∑fx represent sum of the product of f and x
∑f represent sum of frequency
∑fx = 2.5 * 9 + 8 * 10 + 13 * 6 + 18 * 6
∑fx = 288.5
∑f = 9 + 10 + 6 + 6
∑f = 31
So,
[tex]Mean =\frac{288.5}{31}[/tex]
[tex]Mean = 9.3064516129[/tex]
[tex]Mean = 9.3 (Approximated)[/tex]
Hence, the mean of road accidents in December is 9.3
what is x2 + y2 + 4x - 14y + 37 = in standard form
Steps:
Since there are no like terms. We have to convert the number that is x2 + y2 + 4x - 14y + 37 into standard form. The correct answer will be NaN X 10°
So that is in a standard form.
Answer: NaN X 10
Please mark brainliest
Hope this helps.
H(a)= 3a - 4; Find h(8)
Answer:
20
Step-by-step explanation:
You plug 8 into the equation where a is. 8 x 3 = 24 - 4 = 20.
the volume of a cone is 540pi. work out the height of the cone.
Answer:
I would need the radius of the cone to answer this completely, bit I can get you super close and explain it.
Step-by-step explanation:
The formula for a cone is
[tex]\pi \times r {}^{2} \times \frac{h}{3} [/tex]
From there, I started plugging in numbers. I set this equation equal to 540pi because both if them are the volume, so they are equal and I simplified as much as I could from there. First off, the pi cancel each other out since they're on both sides of the equation. From there you have this equation:
[tex]r {}^{2} \times \frac{h}{3} = 540[/tex]
Then, I multiplied both sides by 3 to get rid of the fraction on the left side of the equation:
[tex]r {}^{2} h = 1620[/tex]
Finally, I got rid of the "squared" by putting a square root over both sides if the equation, getting this:
[tex]r \times h = 40.249[/tex]
If I knew the radius. I could get the answer by dividing both sides by the radius.
Good luck!
Lowe Senior High School’s hockey team won 12, lost 5, and tied 3 of their first 20 games this season. Which outcome is most likely for the team’s next game? Explain your reasoning. 30 points!!
Which line segment is correct for this answer to the question?
Answer:
Option (A). OB
Step-by-step explanation:
Angle bisector of any angle is a line segment that divides the angle into two equal parts.
From the given picture,
m∠MOB ≅ m∠NOB
(25 + 35)° ≅ (28 + 32)°
60° ≅ 60°
Therefore, OB is the line segment that divides ∠MON into two equal angles. (∠MOB and ∠NOB)
Option (A). will be the answer.
What’s the sum of -30 and 29
Answer:
The answer of -1.
Step-by-step explanation:
You have to add both numbers together :
[tex] - 30 + 29 \\ = - 1[/tex]
[tex] - 30 + 29 \\ = - 1 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]
solve for x
5(x-10)=25
i need help ASAP
Answer:
x = 15
Step-by-step explanation:
Given
5(x - 10) = 25 ( divide both sides by 5 )
x - 10 = 5 ( add 10 to both sides )
x = 15
Answer:
x=15
Step-by-step explanation:
[tex]5\left(x-10\right)=25[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}5\\\frac{5\left(x-10\right)}{5}=\frac{25}{5}\\x-10=5\\\mathrm{Add\:}10\mathrm{\:to\:both\:sides}\\x-10+10=5+10\\x=15[/tex]
On a separate sheet of paper, graph 3x+6y=18 In the box below, enter the y value when x = 2.
Answer:
y=2 when x=2
Step-by-step explanation:
3(2)=6
6+6y=18
6y=18-6
6y = 12
6y/6 = 12/6
y=2
Answer:
y=2 when x=2
Step-by-step explanation:
Did it on edge
A plumber charges $70 per hour plus $40 for the call. What does he charge for 4 hours of work? Use x to represent the hours of work.
Answer:
Step-by-step explanation:
70x4 is 280 plus 40 is 320.
Answer:
$320
Step-by-step explanation:
(4 x $70) + $40 is the equation
$280 + $40 = $320
$320
Commutative
Property
Answer: means you can switch up the numbers
Step-by-step explanation:
so Commutative Property means you can switch up
the numbers not the sign for example.
4 × 3 × x
4 × x × 3
3 × x × 4
x × 3 × 4
x × 4 × 3
if you look at all these! they just switch
this is easier like 4x5=20 in communicative property it would be 5x4=20
Hope this helps :)
Please Help !
Find The Length Of AC .
Express Your Answer In Terms Of Pi .
Answer:
AC: 31m or 30.999m
Step-by-step explanation:
Diameter =2R = 24
Circumference = 2πR
= 24π
= 75.398223686155 m
AB = 180 diameter
180-30 = 150 degree
150/30 = 5
360/30 degree = 12
74.398223686155 /12 = 6.19985197385 x 5 = 30.9992598693 = 30.999m
These below are just checkers.
360/74.398223686155 = 4.83882520527 N/a
150/4.83882520527 =30.9992598692 N/a
Which pair of angles are vertical angles?
Answer:
angles 1 and 4, and angles 2 and 3
Answer:
1 and 4, 2 and 3
Step-by-step explanation:
Does this actually seem difficult? If you're in High school, because i'm in Middle school and I can answer this question.
How many square roots is the area ?
URGENT!!!!! LAST TWO QUESTIONS!!!!!!! WILL GIVE BRANLIEST!!!AT LEAST TAKE A LOOK!!!!!! PLS HELP!!!
6. What must be true in order for two triangles to be similar?
11. What is the measure of angle y?
A) 130°
B) 50°
C) 40°
D) 90°
Answer:
50
Step-by-step explanation:
The sum of angles in a triangle is 180 so the answer is 180 - 90 - 40 = 50.
Also, for your first question, 2 corresponding angles of the triangles must be congruent.
Answer:
B. 50°
Step-by-step explanation:
40°+90°+y = 180°
130°+y°=180°
y° =180°-130°
y = 50° (sum of the interior angles in a triangle=180°)
Find the value of x which would make line A parallel to line B
Answer:
35
Step-by-step explanation:
2 lines are parallel if 5x-54 was equal to 3x+16 so
5x-54=3x+16
5x-3x=54+16
2x=70
x=35
a map is drawn to the scale of 1:1000. find the actual distance between two towns dogo and Dagger which are 55 cm apart
Answer:
Dogo and Dagger are 55,000 units apart. (I don't know the unit of measurement.)
Step-by-step explanation:
1 : 1000
55 : 55000
Dogo and Dagger are 55000 units apart (Is it kilometers, centimeters? I don't know what unit of measurement it is.)
Calculate the surface area and the volume of the cylinder.
Pls!! Show how you got the surface area and volume
Answer:
120*60=7200
(sorry if i gave u a answer that's not up there or if i get this wrong for you)
pleasee help marking brainlest
Answer:
See below in bold.
Step-by-step explanation:
The cost of what he wants to buy = 4.25 + 0.89 + 10.99
= $16.13
a) He does have enough to buy everything.
b) He has 20 - 16.13 = $3.87 left over.
An employee at a homemade wooden toy store earned $860 over the past week. The employee needs to pay 14% for Federal Income Tax and 3% for State Income Tax, both on the initial amount he earned. How much will the employee earn after paying both taxes?
Answer:
$713.8
Step-by-step explanation:
14%of 860 = 120.4
3% of 860 = 25.8
so, subtract the sum of the above 2 values from 860.
860 - (120.4+25.8) = 860-146.2 = 713.8
Hope this helps
Answer:
$713.008
Step-by-step explanation:
D(t)D, left parenthesis, t, right parenthesis models the distance (in thousands of \text{km}kmstart text, k, m, end text) from the earth to the Moon ttt days after the moon's perigee (when it's closest to the earth). Here, ttt is entered in radians. D(t) = -21\cos\left(\dfrac{2\pi}{29.5}t\right) + 384D(t)=−21cos( 29.5 2π t)+384D, left parenthesis, t, right parenthesis, equals, minus, 21, cosine, left parenthesis, start fraction, 2, pi, divided by, 29, point, 5, end fraction, t, right parenthesis, plus, 384 How many days after its perigee does the moon first reach 380380380 thousands of \text{ km} kmstart text, space, k, m, end text from the Earth?
Answer:
6.48 days
Step-by-step explanation:
[tex]D(t) = -21\cos\left(\dfrac{2\pi}{29.5}t\right) + 384\\\\380=-21\cos\left(\dfrac{2\pi}{29.5}t\right)+384\\\\\dfrac{4}{21}=\cos\left(\dfrac{2\pi}{29.5}t\right)\qquad\text{subtract 384, divide by -21}\\\\\dfrac{2\pi}{29.5}t=\arccos{\dfrac{4}{21}}\qquad\text{use the inverse cosine function}\\\\t=\dfrac{29.5}{2\pi}\arccos{\dfrac{4}{21}}\approx 6.4752\quad\text{days}[/tex]
About 6.48 days after perigee, the moon reaches a distance of 380,000 km from Earth.
there are 357 seniors in harris high school. The ratio of boys to girls is 7:10. How many girls are in the senior class?
What is the length of EF?
Answer:
5
Step-by-step explanation:
the measure DF is 7
DE = 2
to get EF, you have to subtract 2 from 7
7 - 2 = 5
Harry is installing a surveillance camera at the entrance of a Deli. He mounts the camera
8ft above the ground and 16 ft horizontally from the entrance. The camera is meant to
monitor every customer who enters and exits the store. At want angle of depression should
Harry set the camera to capture the faces of all customers? Use a diagram and
mathematical calculations to help you explain your answer.
Answer: The angle of depression would be 26.57°
Step-by-step explanation: Please refer to the attached picture for further details.
What harry has done has effectively led to the formation of a right angled triangle. As shown in the diagram, the camera has been mounted at a height of 8 feet above the ground. Also he mounts the camera at a horizontal from the entrance, which puts the camera at 16 feet away from the entrance (not from the ground). In order to capture every movement at the entrance, the camera range would be determined by an angle which covers everything from top to bottom of the entrance. That gives you the angle of depression which is at the point labelled CAMERA in the triangle.
Having determined two sides and an angle (unknown) in a right angled triangle, we shall use the trigonometric ratios as follows;
Tan ∅ = Opposite/Adjacent
Where the opposite is 8 (side facing the reference angle) and the adjacent is 16 (side that lies between the reference angle and the 90 degree angle)
Tan ∅ = 8/16
Tan ∅ = 0.5
By use of a calculator,
∅ = 26.5650
∅ ≈ 26.57
Therefore the angle of depression of the surveillance camera should be 26.57°
Find the perimeter of this semi-circle with radius, r = 25cm. Give your answer as an expression in terms of π .
perimeter of circle
2πr
perimeter of semi circle
2πr ÷ 2
=2π(25) ÷ 2
= 50π ÷ 2
= 25π
Ans = 25π
1/3 of 6 1/2 multiply 3/4 (56 divide by 7) pls help me
Answer:
13
Step-by-step explanation:
1/3 of 6 1/2 multiply by 3/4 (56 divided by 7)
1/3* 13/2 * 3/4 * 56/7= 1*13*3*56/3*2*4*7= 13*3*56/3*56= 13
Please answer correctly !!!!!!!!! Will mark brainliest answer !!!!!!!!!!!!
Answer:
So it will take the stone 1 (one) second to reach its maximum height.
Step-by-step explanation:
Notice that the mathematical quadratic expression given is that of a parabola with branches pointing down. This means that the maximum value for that parabola is at the vertex. Your expression is also given in vertex form:
[tex]f(x)=a\,(x-x_v)^2+y_v[/tex]
where the pair of coordinates [tex](x_v,y_v)[/tex] are the x coordinate of the vertex and the y coordinate of the vertex.
Since x in your case is the time the stone is on the air, then the maximum (vertex) is at the point (1, 45) where "1" is the time in seconds and 45 is the height of the stone in meters.
So it will take the stone 1 (one) second to reach its maximum height.
The 6 in 61 represents how many times the value of the 6 in 69?
After first entering the ocean, a scuba diver descends to a depth 18 feet below the surface of the water. The diver then ascends 7 feet before descending 18 feet again. What is the final depth of the diver below the surface of the water?
Answer:
The diver is 29 ft below the water surface
Step-by-step explanation:
Here, we are interested in calculating the diver’s final depth before the surface of the water.
Firstly he descends 18 feet before ascending 7 feet. His depth would thus be;
18ft -7ft = 11 ft initially
It is at this point he descended a further 18 feet which makes his total feet of descent = 11 ft + 18 ft = 29 ft
This means he is 29 ft below the surface of the water
Answer:
-29
Step-by-step explanation:
The diver is 29 ft below the water surface
Please please please answer this if you do this i will give you brain list I’ll give a thank you and I’ll rate you five star. It’s due soon so pls answer FAST!!
Answer:
b) 30^2 + b^2 = 40^2
Step-by-step explanation:
This is cuz the diagonal is the hypotenuse of the diagonal formed so it'll be c^ 2
c ^ 2 always is on the right hand side of the equation.
In this case since 40^2 is c^2 is should be on the right side of the equation.
2. A triangle with angle measures 48 degrees, 65 degrees, and 67 degrees is a(n) ________ triangle. *
__________________________________
The right answer is Acute.
Explanation
Acute angle triangle are those which is more than 0 degree and less than 90 degree.
Hope it help
Good luck on your assignment
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