The required class widths are 3, 8, 13, 18, 23 and 28
Given the frequency distribution that summarizes employee years of service for Alpha Corporation as shown below:
[tex]1-5 \ | \ 6-10\ | 11-15 \ | \ 16-20 \ | 21-25 \ | 26 - 30\ \\ 0\ \ \ \ \ \ \ \ 20 \ \ \ \ \ \ \ \ 25 \ \ \ \ \ \ \ \ \ \ 10 \ \ \ \ \ \ \ \ \ \ 5[/tex]
The width of each class is calculated by taking the midpoints of each of the class intervals as shown:
For the class interval 1 - 5
width = 1+5/2 = 3
For the class interval 1 - 5
width = 6+10/2 = 8
For the class interval 11 - 15
width = 11+15/2 = 13
For the class interval 16 - 20
width = 16+20/2 = 18
For the class interval 21 - 25
width = 21+25/2 = 23
For the class interval 26 - 30
width = 26+30/2 = 28
Hence the required class widths are 3, 8, 13, 18, 23 and 28
Learn more on class width here: https://brainly.com/question/24326240
Two sides of a triangle are 6 cm and 8 cm long. What can be the length of its third side.(Write all the possible lengths)
explain.............................................................
Answer:
Let the. length of 3rd side of a ∆ be x.
x>(8–6) cms. and. x <(8+6) cms.
or. x > 2 cms. and. x < 14 cms
or. 2 cms < x < 14 cm
Step-by-step explanation:
find the answer here
What is the slope of the line ( part 2 )
Answer:
-1/2
Step-by-step explanation:
Find the perimeter. Simplify your answer.
a = 3, k = 12, z = 6, h = 4
Evaluate the algebraic expression z + 15 = ??
Answer: 21
Step-by-step explanation:
[tex]z+15=?\\[/tex]
Substitute the value of z into the expression:
[tex](6)+15=21[/tex]
Answer:
21
Step-by-step explanation:
have a good day
for the equation y=ax^2 how does the sign of coefficient affect the graph of the curve
Answer:
The sign of the coefficient determines the direction of where the graph opens.
Step-by-step explanation:
Given the quadratic equation, y = ax²:
The sign of the coefficient, a, affects the graph of the curve as it determines the direction of where the graph opens.
If the value of a is negative (a < 0), then the graph of the parabola opens downward. If the value of a is positive (a > 1), then the graph of the parabola opens upward.
Please see the attached screenshots of the graphed equations (y = -x², and y = x²), to show the effects of changing the sign of a quadratic equation's coefficient.
Consider the equation below.
-5n + 31 - 14n -
5–59 + 31 = –14n – 5
-
Select the equation that has the same solution.
-1 – 22n
20n – 9–1 – 22n = –20n - 9
0
1 = 0.75n + 3.251 = 0.75n + 3.25
In + 2 = −3+ min + 2 =
3 + 1
3 – 6n + 3n = – 3 + 4 – 4n3 – 6n + 3n = -3 + 4 – 4n
Answer:
-1 - 22m
Step-by-step explanation:
Please help, I would really appreciate it.
plz help need asap .............
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1
Answer:
y - 3 = -12(x - 5)
Step-by-step explanation:
This is what point slope form looks like:
y - y1 = m(x - x1)
(5, 3) is our known point, represented as (x1, y1).
Now, just plug in the given slope and point into the equation:
y - 3 = -12(x - 5)
Express as a power of 2
(2/root8)^3
[tex]\left(\dfrac{2}{\sqrt 8} \right)^3\\\\\\=\left(\dfrac{2}{2\sqrt 2} \right)^3\\\\\\=\left(\dfrac 1{\sqrt 2} \right)^3\\\\\\=\left[\left(\sqrt2 \right)^{-1} \right]^3\\\\\\=\left(\sqrt 2 \right)^{-3}\\\\\\=\left(2^{\tfrac 12} \right)^{-3}\\\\\\=2^{-\tfrac 32}[/tex]
Fibd the distance and midpoint between each pair of points. C(-2,2) d(5,-3)
Answer:
D=[tex]\sqrt{10}[/tex] or about 3.2 M=(1.5,-0.5)
Step-by-step explanation:
D=[tex]\sqrt{(x2+x1)^2 +(y2-y1)^2}[/tex] M=[tex](\frac{x1+x2}{2} , \frac{y1+y2}{2} )[/tex]
Lets find the distance first:
D=[tex]\sqrt{(5+-2)^2 + (-3+2)^2}[/tex]
D=[tex]\sqrt{(3)^2+(-1)^2}[/tex]
D=[tex]\sqrt{9+1}[/tex]
D=[tex]\sqrt{10}[/tex]
D is about = 3.2
Lets find the midpoint now:
M= [tex](\frac{-2+5}{2} , \frac{2+-3}{2} )[/tex]
M=[tex](\frac{3}{2} ,\frac{-1}{2} )[/tex]
M= (1.5,-0.5)
What is 4 percent of $128.72 ?
Answer:
124.72
Step-by-step explanation:
Answer:
Step-by-step explanation:
4% of 128.72 = 0.04 * 128.72
= 5.1488
If you are to
evaluate your life now using polynomial functions , how will you
look at it?
what is 5/11 closest too
Answer:
__
0.45
__
__ means it's on-going, so 0.45454545
Does someone have the answer to this??? Thank You so much
Answer:
22
Step-by-step explanation:
Answer:
f(0)=22
Step-by-step explanation:
f(0)=13(2)^0+9
f(0)=13(1)+9
f(0)=13+9
f(0)=22
(any number raised to 0 is 1)
You can spend at most $24 at the fair. Game tickets cost $2 each and ride tickets cost $4 each. You want to buy at least 3 game tickets and more than 2 ride tickets. Write and graph a system of linear inequalities to represent this situation. How many of each ticket could you buy?
The volume of a TV box needs to be 30.000 cubic centimeters. If the length is 10 less than four times the height and the width is less than the height, what is the required height of the box? PLS HELP I was hold h=40cm BUT HOWW?
Answer:
Since you do not explicitly give any formal restrictions on whether or not the dimensions must be integers, nor any relation with the width dimension. I found a solution with height equally to 20.768cm × width (19.768cm) × length (73.072 cm) Multiplying this together, we get 30,000 cubic cm
what is 5 minutes to four and how?
Answer:
4 minutes to 4 is actually 3 56 am or pm
Step-by-step explanation:
it simply means you are left with 1 2 3 4 minutes only till is 4 o'clock
(5a-ab) (2ay-by)
[tex] {2}^2( {2}^{4 - ?}5 {} ){?} [/tex]
Answer:
a = 0
b = 5
y = 0
Step-by-step explanation:
Can someone help me with 15 and 16 Please!
With what? You have no attached documents and this is your only asked question on your brainly profile IM SO SORRY
How would you convert 12.5% to a fraction?
Answer:
12.5% as a fraction is written as 25/2
Step-by-step explanation:
step 1; write the given number as the numerator and place 1 in the denominator right below the decimal point followed by the numbers of zeros vital or require according.
step in this case 12.5 has one number after the decimal number so we place 10 in the denominator and remove the decimal point. this will make it 125/10.
step 2: then , this fraction can be simplified. 125/10=(125÷5)/(10÷5) =25/2
If your restaurant bill was $24.67 and there is a 7% tax, how much total would you have to pay? (round to nearest hundredth)
Answer:
1.73
Step-by-step explanation:
A RECTANGLE HAS SIDES OF "20 - x" AND "x - 5", IF THE RECTANGLES AREA IS 36 SQ. INCHES. FIND THE LARGEST SIDE.
Answer:
12 in.
Step-by-step explanation:
1. area can be calculated as A=s1*s2, where s1 and s2 are the largest and shortest sides.
2. according to the formula before A=(20-x)(x-5). But according to the condition A=36, then (20-x)(x-5)=36;
3. if to solve this quadratic equation, then
-x²+25x-136=0;
[tex]\left[\begin{array}{ccc}x=17\\x=8\end{array}[/tex]
4. if x=3;12, then the sides are 12 and 3 and
5. finally, the largest side s1=12 inches.
PLEASE HELP GIVING BRAINLIEST :)
I scared of exam how do i do
Answer:
.
Step-by-step explanation:
Elena and her family are season ticket holders for their favorite baseball team. Last year, the cost of season tickets was $1,510. This year, the cost is $1,208. What was the percent of decrease in the cost of season tickets?
Answer:6
Step-by-step explanation:
A rectangular field will be fenced on all four sides. There will also be a line offenses across the field, parallel to the shorter side. If 900 M of fencing are available, what dimensions of the field will produce the maximum area? What is the maximum area?
Answer:
Pretty sure the dimensions are 125.6 meters by 251.2 meters 31,550.72 square meters.
a+1, 2a-1 ,a+7 and 3a+4 are in ascending order. if the median is 27. find the value of a.
Answer:
a = 16
Step-by-step explanation:
The median is the middle value of the data arranged in ascending order.
If there is no exact middle then the median is the average of the 2 values either side of the middle
a + 1 , 2a - 1 , a + 7 , 3a + 4
↑ middle
Then
[tex]\frac{2a-1+a+7}{2}[/tex] = 27 ( multiply both sides by 2 to clear the fraction )
3a + 6 = 54 ( subtract 6 from both sides )
3a = 48 ( divide both sides by 3 )
a = 16
Solve the angles of this parallelogram
[tex]6x + 2 + 14x + 2y + 15y + 10 + 6x + 12y = 360° \\ 26x + 29y + 12 = 360° \\ 26x + 29y = 360 - 12 \\ 26x + 29y = 348 \\ 26x + y = \frac{348}{29} \\ 26x + y = 12 \\ x + y = 312[/tex]
PLEASE HELP!!! THE QUESTION IS DOWN BELOW
Answer:
Second box, fourth box, first box, and third box
Step-by-step explanation:
1st answer box because (13 - 3 / 2 * r) - (1 - r) = 13 - 3 / 2 * r - 1 + 2 / 2 * r thus being the first answer because of the "-" in the front so distribute the "-" with the 1 and - r
2nd answer box because (7r - 3 / 2) - (2 / 3 + 6r) = 7r - (9 / 6) - (4 / 6) - 6r same principle here.
3rd answer box because (6r + 7) + (13 + 7r) = 6r + 7 + 20 + 7r
4rd answer box because (- 8 - r) + (2r - 4) = - 8 - r + 2r - 4
Answer:
1. (6r+7)+(13+7r)=13r+20
2. (13 3/2)-(1-r)= 12-r
3. (-8-r)+(2r-4)= -12+r
4. (7r-3/2)-(2/3*6r)=r-13/6
Step-by-step explanation:
1. Move 7r next to 6r then you get 13r then just add 7+13 and you get 20 answer is 13r+20
2. Subtract 1 from 13 and you get 12 then you do the 3/2r and and the other r to it and you get 1/2r answer should be 12- 1/2r
3. Move then 4 next to the -8 and subtract you should get -12 then you solve -r+2r should get r and the answer is -12+r
4. Subtract 7r from 6r and you get r(1r) then you should subtract 3/2 and 2/3 and you get 13/6 and the answer is r-13/6