The histogram shows that the majority of Omar's Final Fitness Team had weight loss between 30 to 49 kg, with only a few members achieving higher weight loss of 60 to 69 kg.
To create a histogram from the given data, follow these steps:
Step 1: Determine the range of the data (largest value - smallest value): Range = 90 - 31 = 59
Step 2: Choose a number of classes for the histogram. A convenient number of classes is usually between 5 and 15. For this data set, we can choose 6 classes.
Step 3: Determine the width of each class by dividing the range by the number of classes:
Class width = Range / Number of classes
Class width = 59 / 6 = 9.83
Round the class width up to 10 to make it a convenient number.
Therefore, the class width is 10.
Step 4: Determine the lower limit of the first class. Choose a value that is equal to or less than the smallest data point.
Lower limit of first class = 30
Step 5: Create the frequency distribution table by counting how many data points are in each class:
| Class Interval | Frequency |
|:----:|:----:|
| 30 - 39 | 2 |
| 40 - 49 | 2 |
| 50 - 59 | 0 |
| 60 - 69 | 2 |
| 70 - 79 | 1 |
| 80 - 89 | 1 |
Step 6: Draw the histogram. On a horizontal axis, mark the class intervals. On the vertical axis, mark the frequency for each class. Draw vertical bars to represent the frequency in each class. Make the bars touch each other so that it shows a continuous distribution.
Here's the histogram of the given data:
```
Frequency
|
| x
| x
--------|----|----|----|----|---|---
30 40 50 60 70 80 90
| Class intervals |
```
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Where are the zeros for f(x)= 1/2 sin 2x−2 on the interval [0,2π]?
A. x=0, π/2, π, 3π/2, 2π
B. x=0 , π, 2π
C. none
D. x= π/2, 3π/2
19. The results of a board game are shown in the table below.
Player
Scores
Joseph
500
Sarah
-1,500
Malachi
-2,200
Tyson
400
Shaun
-600
Summer
-300
I
What is the total of the players' scores?
What is the mean absolute deviation of 3 3 1 9 3 1 8
Answer:
2.57 or rounded to 1 sig digit just 3
ok but can u crank 90s
R is the 4th quadrant region enclosed by the x-axis and the curve y = x^2 - 2kx, where k>0. find the value of k so that the area of the region r is 36 square units.
a. 2
b. 3
c. 4
d. 6
will vote brainliest, like, and rate!
Observe that
y = x² - 2kx = x (x - 2k)
has roots at x = 0 and x = 2k. Since the leading coefficient is 1 > 0, the parabola opens upward, and in particular this means the x-axis lies above the curve.
We can compute the area of R by integrating:
[tex]\displaystyle \int_0^{2k} |x^2-2kx| \, dx = - \int_0^{2k} (x^2-2kx) \, dx \\\\ = kx^2 -\frac{x^3}3 \bigg|_{0}^{2k} \\\\ = \frac{4k^3}3[/tex]
Solve for k :
[tex]\dfrac{4k^3}3 = 36 \implies k^3 = 27 \implies \boxed{k=3} ~~~~ (B)[/tex]
Pls solve 3c for me.will mark branliest a
.
Step-by-step explanation:
if you could solve 3a and 3b, you can also solve 3c. it is the same principle.
x-intercepts means y = 0.
remember, a square root has always 2 results : a positive and a negative one.
3c
0 = -(x - 3)² + 25
(x - 3)² = 25
x - 3 = ±5
x1 = +5 + 3 = 8
x2 = -5 + 3 = -2
3a
0 = (x + 1)² - 4
4 = (x + 1)²
±2 = x + 1
x1 = +2 - 1 = 1
x2 = -2 - 1 = -3
3b
0 = (x + 2)² - 9
9 = (x + 2)²
±3 = x + 2
x1 = +3 - 2 = 1
x2 = -3 - 2 = -5
Consider this cone. a cone. point a is the vertex, b is the height, c is the radius, and d is the diameter. identify the parts of the cone. which letter indicates the height? which letter indicates the radius? which letter indicates the diameter? which letter indicates the vertex?
The parts of the cone can be explained as;
The height is ABThe radius is CBThe diameter is CDThe vertex is AWhat is a cone ?A cone can be regarded as a three-dimensional shape which has a vertex at the top of it.
Considering a cone as described in the question, we could see that the distance from point A to B will gives us the height which is the vertical length.
Therefore, Vertex is at the top of the cone which is point A.
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Answer:
b
c
d
a
Step-by-step explanation:
;)
i met at the movies at 6:45 we were picked up at 8:15
Answer:
1 hour and 30 minutes
[tex]t = ch + td = fh[/tex]
where ch is current hour, td is time distance, and fh is final hour.
to find td, we must subtract the number of minutes in ch and fh and then base how many hours passed off of the minutes.
[tex]cm(45) - fm(15) = 30[/tex]
If half an hour passed, we can guess that only another hour passed, therefore we can make a final equation using eh for "estimated hour".
[tex]t = (cm - fm) + eh = 1:30[/tex]
do the math please. i need it nowwwwww
Using algebraic expressions, the value of x in the diagram given is calculated as: x = 4
What is an Algebraic Equation?An algebraic equation is an equation that has an unknown variable (i.e. x) and digits, which can be used to solve a problem.
Algebraic expression for Mat A is: 4x + 3
Algebraic expression for Mat B is: 2x + 11
We would have the following algebraic equation:
4x + 3 = 2x = 11
Solve for the value of x
4x - 2x = 11 - 3
2x = 8
x = 8/2
x = 4
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can someone help me with this problem? Thank you!
In order to find the answer, we need to multiply 15 x 12 then find the exponent based on the object shape (2D/3D).
15 x 12 = 180.
If the object is 2D, the exponent is 2 (squared). If the object is 3D, the exponent is 3 (cubed). We can tell that the object is 2D, so the exponent is 2.
The answer is 180^2, or 180 squared.
I was hoping that you'd give me Brainiest as I'm trying to rank up. If you want to, please do!
Answer:
The answer is 180 squared.
Step-by-step explanation:
Happy to help!
What is this? Sin? Cos? Inverse Sin? Inverse Cos?
Answer:
sin
Step-by-step explanation:
sin=O opposite/hypotenuse
7. The points (−2,−4) and (5,6) are the endpoints of the diameter of a circle. Find the length of the radius of the circle.
Answer
6.10
Use the distance formula:
[tex]\sf d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]
where (x1, y1), (x2, y1) are points
[tex]\rightarrow \sf d =\sqrt{(5-(-2))^2 + (6-(-4))^2}[/tex]
[tex]\rightarrow \sf d =\sqrt{(7)^2 + (10)^2}[/tex]
[tex]\rightarrow \sf d =\sqrt{149}[/tex]
This is the length of diameter.
Then radius:
· diameter/2
[tex]\sf \cdot \dfrac{\sqrt{149 } }{2}[/tex]
[tex]\sf \cdot 6.103277808[/tex]
[tex]\sf \cdot 6.10 \ \ (rounded \ to \ nearest \ hundreth)[/tex]
please slove question 5
Answer:
2,160 mm³
Step-by-step explanation:
Q5
V = 1/2 × lwhV = 1/2 × 24 × 10 × 18V = 12 x 10 x 18V = 216 x 10V = 2,160 mm³A cross section of an attic is shaped like a trapezoid. It has an area of 37.4 square meters one base is 6.4 meters and the other base is 12.3 meters long. What is the height of the cross section.
I’m really confused, please give an easy and understanding answer.
Answer:
4meters
Step-by-step explanation:
friend ,for you to calculate this question you have to know the formula which is 1/2 h (a + b) x height. then use the procedure written in the picture of which you should end up dividing as I have then you will eventually get your answer but the key point is that you should know the formula and the number at the right side is the one dividing the area (37.4) not the area dividing the number at the right side which is 9.35 good day.
HELP ASAP PLS
Which graph represents function gif 9(x) = ƒ(2x)?
(Purple graph is the f(x))
Answer:
A (correctly marked)
Step-by-step explanation:
The graph of g(x) = f(2x) will be the graph of f(x) horizontally compressed by a factor of 2. The horizontal compression moves each point on f(x) to a distance half as far from the y-axis.
__
The graph of f(x) shows a vertical asymptote at x=2 so the graph of g(x) will have a vertical asymptote at x=1. Only Graph A shows a vertical asymptote at x=1.
Whats the answer to this
Find n 2\8 = 14n n=?????
Answer:
n = ±0.13363
Step-by-step explanation:
2/8 - (14*n*(n))=0 • Use this formula for proof
2/8 = 1/4 A^2 - AB + BA - B^2 =
1/4 - 14n^2 = 0 A^2 - AB + AB - B^2 =
14n^2 = 14n^2 ÷ 1 = 14n^2 • 4 ÷ 4 A^2 - B^2
1 - (14n^2 • 4) ÷ 4 = 1 - 56n^2 ÷ 4
1 - 56n^2 ÷ 4 = 0
1-56n2 ÷ 4 • 4 = 0 • 4
1-56n^2 = 0
56n^2 = 1
n^2 = 1/56 = 0.018
n ≈ ±0.13363
find the solution to the system of equations. Y=2x+2
Answer:
[tex](0, 2)[/tex]
Step-by-step explanation:
From the image (or by just looking at the equations and know what each part represents) you can tell the solution is (0;2)
Analitically, you already have them in a [tex]y=\square[/tex] form, so let's compare the two RHSs: [tex]2x+2=-x+2 \rightarrow 3x=0 \rightarrow x=0[/tex]. Let's replace the value in either to find [tex]y=0[/tex]
Beth's fitness tracker shows that she logged 4,300 steps at work today. beth wants to get
more steps in, so she goes for a jog after work. the fitness tracker shows she averages 100
steps per minute while jogging. you can use a function to approximate the total number of
steps she will have logged today after she jogs for x minutes after work.
Answer:
[tex]4300 + 100x[/tex]
Step-by-step explanation:
The [tex]4300[/tex] represents the base amount of steps she took during work. Even if she jogs 0 minutes, this will not change.
The [tex]100x[/tex] represents how many steps she will take from jogging. The [tex]100[/tex] is how many steps she will take per minute, and the [tex]x[/tex] is the number of minutes she will jog.
Adding these together will give us our function [tex]4300 + 100x[/tex] to see how many steps she will log.
That is the answer
- Kan Academy Advance
Find x. A) 3 B) 3.75 C) 4.25 D) 5
Answer: B
Step-by-step explanation:
By the intersecting chords theorem, (3)(5)=4x, meaning x=3.75.
Find the value of x and y
Answer:
x = 26, y = 120
Step-by-step explanation:
First we will find x.
We know that 3x-18 = 2x+8 because they are corresponding angles
Now we can solve for x
3x-18 = 2x+8 | subtract 2x from both sides
x-18 = 8 | add 18 to both sides
x = 26
Now we can find y. We know that 3x-18 and y are supplementary (add up to 180) since they are a linear pair (adjacent angles that form a line)
This means we can solve for y using the following :
3x-18 + y = 180 | substitute x for 26
3(26)-18 + y = 180 | simplify
60 + y = 180 | subtract 60 from both sides to isolate y
y = 120
- Kan Academy Advance
4^3 times 4^? = 4^-3. what number is ?
Answer:
x = -6
Step-by-step explanation:
Let[tex] \: 4^3\times 4^{x}=4^{-3}[/tex][tex] \implies 4^{3+x}=4^{-3}[/tex][tex] \implies {3+x}= {-3}[/tex][tex] \implies {x}= {-3-3}[/tex][tex] \implies {x}= {-6}[/tex][tex] \implies\huge{\red{ 4^3\times 4^{-6}=4^{-3}}}[/tex]simultaneous eqautions
3x+2y=16
2x+y=9
Answer:
(2, 5 )
Step-by-step explanation:
3x + 2y = 16 → (1)
2x + y = 9 ( subtract 2x from both sides )
y = 9 - 2x → (2)
substitute y = 9 - 2x into (1)
3x + 2(9 - 2x) =16
3x + 18 - 4x = 16
- x + 18 = 16 ( subtract 18 from both sides )
- x = - 2 ( multiply both sides by - 1 )
x = 2
substitute x = 2 into (2)
y = 9 - 2(2) = 9 - 4 = 5
solution is (2, 5 )
Percentage:
A shop has 150 gaming pc. They sold 30.
Find the percentage of the PC that they have not sold.
A ball is projected up into the air from the surface of a platform to the ground below. The height
of the ball above the ground, in feet, is modeled by the function f(t) = -16t2 + 96t + 112, where
t is the time, in seconds, after the ball is projected.
State the coordinates of the vertex. Explain what it means in the context of the problem
The vertex of the quadratic function is of (3,256), which means that a maximum height of 256 feet is obtained after 3 seconds.
What is the vertex of a quadratic equation?A quadratic equation is modeled by:
[tex]y = ax^2 + bx + c[/tex]
The vertex is given by:
[tex](x_v, y_v)[/tex]
In which:
[tex]x_v = -\frac{b}{2a}[/tex][tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]Considering the coefficient a, we have that:
If a < 0, the vertex is a maximum point.If a > 0, the vertex is a minimum point.In this problem, the height of the ball is given by:
f(t) = -16t² + 96t + 112.
Hence the coefficients are a = -16 < 0, b = 96, c = 112, and the coordinates of the vertex are:
[tex]x_v = -\frac{96}{2(-16)} = 3[/tex][tex]y_v = -\frac{96^2 - 4(-16)(112)}{4(-16)} = 256[/tex]The vertex of the quadratic function is of (3,256), which means that a maximum height of 256 feet is obtained after 3 seconds.
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what is the 8th term in the following sequence? 27, 39, 51, 63
Answer:
the 8th term = 111Step-by-step explanation:
39-27=12
51-39=12
63-51=12
It’s clear that ,in this sequence we add 12 each time to a term to get the next term.
This means that this is an arithmetic sequence with a common difference of 12.
Therefore,
Term1 = 27 ; Term2 = 39 ; Term3 = 51 ; Term4 = 63
Term5 = 75
Term6 = 87
Term7 = 99
Term8 = 111
Method 2 :
Un = U1 + (n-1)r
r is the common difference = 12
U1 = 27 is the first term
Then
U8 = 27 + (8-1)×12
= 27 + 7×12
= 27 + 84
= 111
Please help me out! Need this done ASAP!
Answer:
a. power of a point
b. CE = 4.6
Step-by-step explanation:
a. the power of a point theorem states that BE*BC = BA*BD
b. using the equation above, find CE:
BE * 10 = 3 * 18
BE = 5.4
CE = BC - BE = 10-5.4 = 4.6
If h(x) = |2x−6| -2, then what is h(-1)
Answer:
[tex]h(-1)[/tex] ⇢ [tex]-h[/tex]
Mallory ordered a pizza with a 17-inch diameter. ricky ordered a pizza with a 20-inch diameter. what is the approximate difference in the area of the two pizzas?
Answer:
Ok so, pizza one is 17 inches in diameter, which in order to find area of a circle/circumferences, you first need to divide by 2, in this case 17/2=8.5, then square it, 8.5*8.5=72.25, then multiply by PI (3.14 in this case.) 72.25*3.14=226.865 which can round up to 227. Or 226.9
Step-by-step explanation:
Divide by 2
Square
Multiply by pi. (3.14)
Which expression is equal to -4-9?
Answer:
-4+(-9)
Step-by-step explanation:
if you have two negatives in an equation next to each other like -4-9 then it is basically adding the two but will just equal a negative sum
A ring is reduced to £840. This is a saving of 40% of the original price. What was the original price
The answer is 1400, good luck