Answers
To construct a histogram, you must decide on your interval size by dividing the data range by your desired number of intervals. Then, sketch the graph with scaled axes and intervals consistently to accurately represent the data.
Explanation:To construct a histogram, you need to determine the interval size for your bins. The interval size depends on the range of your data and the number of intervals you want to use. For instance, if you have data ranging from 32.5 to 100.5 and you want to create five intervals, you subtract the smallest value from the largest and then divide by the number of intervals. So it would be (100.5 - 32.5) ÷ 5, which equals 13.6. This means each interval would be 13.6 units wide.
When constructing the actual histogram, the x-axis would cover from 32.5 to 100.5 and the y-axis would cover the frequency of the data within each interval. An interval's endpoints can be determined successively by adding the interval width to the previous endpoint, starting with 32.5. Moreover, for data with a small range like 1 to 6, you could create six intervals ranging from 0.5 to 6.5 to ensure all data points are included, with a 1 unit interval size for clarity.
Sketch the graph using a ruler and pencil, and carefully scale the axes to accurately reflect the range and intervals for the data you're representing. Consistency in interval size is key when placing data values into each bin.
Final answer:
A histogram is constructed by determining the number of intervals, with a common range being five to 15 intervals. Calculate the interval width by dividing the total range of data by the chosen number of bins. Use a ruler and pencil for a scaled and precise histogram representation.
Explanation:
To construct a histogram, you need to decide on the number of intervals, also known as classes or bins. In this case, the data provided suggests we need to create five to six intervals. The x-axis for our histogram might range from 32.5 to 100.5, representing the data values, and the y-axis records the frequency of the data points.
To calculate the width of each interval, take the range of the data (100.5 - 32.5 = 68) and divide it by the number of intervals (5). This gives us an interval width of 13.6. When scaling the axes, use a ruler and pencil for precision.
For example, if your data set ranges from a smallest value of 1 to a largest value of 6, you might set your bins to start at 0.5 and end at 6.5 to ensure that all values are included. With this range of 6 (6.5 - 0.5), and deciding on six bins, the bin size or interval size would be 1. This is explained in Solution 2.10.
Remember to consistently apply the same method when placing data values within intervals to enable comparability and clarity in your histogram.
Related Questions
4 Friends each took a different path walking from the Lunchroom to the gymnausium. Rowan walked 150 yards, Janelle walked 429 feet 8 inches, Domingo walked 130 yards 2 feet, And Lydia walked 460 feet. Who walked the farthest?
Answers
Answer: Lydia
Step-by-step explanation:
Convert all distances to the smallest measure in which all distances can be in the same distance type, so that you can see what is the farthest. Note: inches won't be necessary because that's an unreasonable way to measure distance if you walk very far.
Rowan travelled 450 feet
Janelle travelled 429 feet 8 inches
Domingo travelled 392 feet
Lydia travelled 460 feet
Answer: Lydia
Step-by-step explanation:
Convert all distances to the smallest measure in which all distances can be in the same distance type, so that you can see what is the farthest. Note: inches won't be necessary because that's an unreasonable way to measure distance if you walk very far.
Rowan travelled 450 feet
Janelle travelled 429 feet 8 inches
Domingo travelled 392 feet
Lydia travelled 460 feet
please help me again
Answers
Answer:
S(-3.5,0.5)
T(-1,-0.5)
Combine the like terms to create an equivalent expression:
42 – (-32)
PLS HELP
Answers
Answer:
4z + 3z or 7z
Step-by-step explanation:
The negative and subtraction cancel each other out.
Answer
2,4,6,8
Step-by-step explanation:
Use photo math
82 children had to learn the one line of fun song. The fun song has 47 lines. How many lines did they learn altogether
Answers
Answer:
3,854
Step-by-step explanation:
There’s 82 kids each learned 47 lines you would multiply
The children learned a total of 3854 lines of the song. This is found by multiplying the number of children by the number of lines in the song.
Explanation:This problem involves simple multiplication. Since each child needs to learn one line of the song, and the fun song has 47 lines, to find the total number of lines the children learned altogether, you simply multiply the number of children by the number of lines in the song. Therefore, 82 (number of children) x 47 (number of lines in the song) equals 3854. So, the children learned 3854 lines in total.
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if los angeles county wants to know what percent of its citizens have children who are in school readiness support, which method will be best to gather the information and why
Answers
Surveys enable the collection of specific data points from a diverse population, allowing for a more accurate estimation of the percentage of citizens with children in school readiness support. This method ensures inclusivity and reliability in gathering information for decision-making purposes.
Conducting a survey would be the best method to gather information on the percentage of citizens in Los Angeles County who have children in school readiness support. Surveys allow for direct feedback from a representative sample of the population, providing a comprehensive understanding of the situation.
In the survey, a representative sample of citizens across different demographics can be asked whether they have children enrolled in school readiness support programs. By analyzing the responses, Los Angeles County can estimate the percentage of citizens with children in such programs.
I NEED HELP ASAP PLEASE
Answers
Answer:
Step-by-step explanation:
Figure out what each fraction is equivilent their decimal. Then you plot it based on the decimal
2 2/3 is 2.6 so plot it past the 2 and through 6 points
1 4/9 is 1.4 so plot it past the one and four points
pls help . super confused .. question worth 20. I’m going to ask ., if your not here to help, don’t answer. & if you r pls show your work, thank you.
Answers
Answer: 1) 1 1/2, 2 1/4, and 4
Step-by-step explanation: 1) We know that the equation would be the cups of flour being multiplied by the batches. Like, 5 times 3/4 would equal 15/4 which would simplify to 3 3/4.
So, to find the first missing number, we do 2 x 3/4, which equals 6/4( 1 1/2).
The next missing number would be 3, because we're going in order-- like 1, 2, 3, 4. So we do 3 x 3/4.
We then don't have a number for batches this time. So we still do, 3/4 x 3 but this time we cross out both the 3 on the top and we're left with 4, our answer.
The equation for this is 3/4 x b. (Did this help..?)
In the figure below, ABO and GOF are right triangles. How would you represent the area of the shaded region?
1. r^2 (π-1)
2. r^2 (π+1)
2. r^2 (π-1/2)
3. r^2 (1-π)
Answers
Answer:
option 1
Step-by-step explanation:
The shaded area is area of circle - area of 2 congruent triangles
area of circle = πr²
Note that the base and height of both triangles is the radius
Area o triangle = [tex]\frac{1}{2}[/tex] × r × r = [tex]\frac{1}{2}[/tex]r²
area of 2 triangles = 2 × [tex]\frac{1}{2}[/tex] × r² = r²
area of shaded region = πr² - r² = r²(π - 1) → (1)
To represent the area of the shaded region in the figure, use the expression "r² (π+1)" as it closely approximates the calculation for the shaded area.
In the figure described, ABO and GOF are right triangles, and there's a shaded region within these triangles. To represent the area of the shaded region, we can consider the difference between the areas of the larger triangles ABO and GOF and the smaller semicircles centered at O within each triangle.
The area of a triangle is given by (1/2) × base × height, and the area of a circle is πr², where "r" is the radius.
Calculate the area of ABO: (1/2) × AB × AO
Calculate the area of GOF: (1/2) × GO × GF
Calculate the area of one semicircle: (1/2) × πr²
Now, to find the area of the shaded region, subtract the sum of the areas of the two semicircles from the sum of the areas of the two triangles:
Shaded Area = (ABO - πr²) + (GOF - πr²)
So, the representation for the area of the shaded region is:
Shaded Area = (1/2) × AB × AO + (1/2) × GO × GF - πr²
Therefore, option 2, "r² (π+1)," is the closest representation of the area of the shaded region.
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Please help me I’m terrible at algebra
Answers
Answer:
10[tex]\leq[/tex]D+R
D[tex]\geq[/tex]R/3 (or 3D[tex]\geq[/tex]R)
Step-by-step explanation:
Say that D = Decaf and R = Regular
10[tex]\leq[/tex]D+R
D[tex]\geq[/tex]R/3 (or 3D[tex]\geq[/tex]R)
!!HELP ASAP!! What is the surface area of the rectangular pyramid below?
A. 2197 units
B. 312 units
C. 1026 units
D. 507 units
Answers
Answer:
D. 507 square units
Step-by-step explanation:
surface area of the rectangular pyramid
[tex] = area \: of \: base + 4 \times area \: of \: one \: \triangle \\ \\ = {13}^{2} + 4 \times \frac{1}{2} \times 13 \times 13 \\ \\ = 169 + 2 \times 169 \\ \\ = 169 + 338 \\ \\ = 507 \: {units}^{2} \\ [/tex]
The surface area of the rectangular pyramid is,
⇒ 507 units²
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Given that;
The rectangular pyramid is shown in image.
Hence, The surface area of the rectangular pyramid is,
⇒ Area of base + 4 × Area of triangle
⇒ 13 × 13 + 4 × 1/2 × 13 × 13
⇒ 169 + 2 × 169
⇒ 507 units²
Thus, The surface area of the rectangular pyramid is,
⇒ 507 units²
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Ms G has 16 hw papers and 14 quiz and MS M has 64 hw papers and 60 quiz to return. What tge ratio to represent the number of he papers to quiz that have to be returned.
Answers
The two teachers have 16 and 64 homework papers to return, totalling in 80.
They also have 14 and 60 quizzes to return, totalling in 74.
The ratio of homework papers to quizzes that need to be returned is 80:74
In total, there are 80 homework papers and 74 quizzes to be returned. The ratio for the total would be 80 : 74 (or 80/74), and 40 : 37 (or 40/37) simplified.
For Ms. G alone, the ratio would be 16 : 14 (or 16/14), and 8 : 7 (or 8/7) simplified.
For Ms. M alone, the ratio would be 64 : 60 (or 64/60), and 16 : 15 (or 16/15) simplified.
Hope this helps!! :)
What is the slope of (12, 51) and (4, 17)?
Answers
_____
4-12
=4.25=17over4
Answer:
Slope=4.25
Step-by-step explanation:
Formula for slope is y2-y1/x2-x1
Y1=51,y2=17,x1=12,x2=4
Input this values into the above formula
17-51/4-12
Slope=-34/-8
Divide both numerator and denominator by -2
Slope=17/4
Slope=4.25
Find the greatest common factor of 15 x2y3 and -18 x3yz .
Answers
Step-by-step explanation:
[tex]15 {x}^{2} {y}^{3} \\ = 3 \times 5 \times x \times x \times y \times y \times y \\ \\ - 18 {x}^{3} yz \\ = - 2 \times 3 \times 3 \times x \times x \times x \times y \times z \\ \\ common \: factors = 3 \: x \: x \: y \\ \therefore \: greatest \: common \: factor \\ = 3 \times x \times x \times y \\ = 3 {x}^{2} y[/tex]
What is the x value for the solution -x+2y=6
6y =x+18
Answers
For the given set of equations, x = 0 and y = 3.
Step-by-step explanation:
Step 1:
From the question,
[tex]-x + 2y = 6[/tex], take this as equation 1,
[tex]6y =x+18, x - 6y = -18[/tex], take this as equation 2.
Step 2:
When we add equation 1 and equation 2, the x variable is canceled out and y can be calculated.
[tex]-4y = -12, y = \frac{-12}{-4}, y = 3.[/tex]
Step 3:
Substituting this value of y in any of the previous equations we will get x's value.
Here this value of y i.e y = 3 is substituted in equation 1.
[tex]-x + 6 = 6, -x = 6 -6, -x=0, x=0.[/tex]
So we have x = 0 and y = 3.
Maria put trim around a banner that is the shape of a triangle. Each side is 22 inches long. Maria has 1/2foot of trim left. What was the length of the trim when she started? Write your answer in yards
Answers
Maria had 2 yards of trim when she started.
Step-by-step explanation:
Step 1:
All of the sides of the triangle is 22 inches long each.
The total length of the sides of the triangle [tex]= 3(22) = 66.[/tex]
So the total length of the trim for the banner is 66 inches long.
If Maria still has [tex]\frac{1}{2}[/tex] a foot of trim left, she had 6 inches of the trim left.
The length of the trim when she started[tex]=66 +6 = 72[/tex] inches.
Step 2:
Now we need to convert the 72 inches into yards.
We have 1 inch = 0.0277778 yards.
So 72 inches [tex]= 0.0277778(72) = 2.[/tex]
So Maria had 2 yards of trim when she started.
Name the three dimensional figure that is formed by folding the net
Answers
Answer:
cube
Step-by-step explanation:
the four cubes in the middle make a square and the two other ones fill in the sides of the cube
100 POINTS AND BRAINIEST TO BEST CORRECT ANSWER! Is p^2/r^2 a monomial yes or no. Explain.
Answers
Answer:
No
Step-by-step explanation:
Only products of variables is a monomial.
Quotient, sum or difference are not. This is a quotient
Help please! Find the Surface area. Whoever gets it right ill give Brainliest!
Answers
Answer:
284.6 square yards
284.6 yd^2
Step-by-step explanation:
Base: 7 × 13 = 91
Rectangle Sides: 6.1 × 13 = 79.3 (x2 = 158.6)
Triangle Sides: 5 × 7 = 35 (÷2 ×2 = 35)
Add: 91 + 158.6 + 35 = 284.6
A basketball team scored 82 points
in a game. The players made no free
throws and the number of two-point
ifield goals was 2 more than 5 times the
number of three-point Shots.
How many of each Shot did they make
Answers
Number of 3-point shots are 13 and number of 2-point shots are 69
Step-by-step explanation:
Step 1: Let the number of 3-point shots be x, then the number of 2-point shots will be 5x + 2. Total points = 82. Form an equation to find x.⇒ 82 = x + 5x + 2 = 6x + 2
⇒ 80 = 6x
∴ x = 80/6 = 13.33 ≈ 13
∴ 5x + 2 = 66.67 + 2 = 68.67 ≈ 69
five more than the product of 14 and a number
Answers
Answer: 5>14x
Step-by-step explanation: 5 is more than the product which means multiplaction is 14 and x is the number so its 14x.
please give bainliest
The absolute value of a number is 16. What is this number? Select all that apply.
A. 16
B. −1/16
C. 61
D. 1/16
E. –16
Answers
Answer:
A, E
Step-by-step explanation:
Both of these numbers are 16 numbers away from 0.
The numbers for the absolute value of a number is 16 are;
a. 16
b. - 16
What is Modulus function?
The modulus function is the absolute value of a positive or negative number.
Given that;
The absolute value of a number is 16.
Now,
We know that;
The absolute value of number is always positive.
So, We get;
A. 16 = |16|
= 16
E. - 16
= |- 16|
= 16
Thus, The numbers for the absolute value of a number is 16 are;
a. 16
b. - 16
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Which equation is quadratic in form?
4(x - 2)2 + 3x – 2 + 1 = 0
8x5 + 4x3 + 1 = 0
10x8 + 7x4 + 1 = 0
O 9x16 + 6x4+1=0
Answers
Answer:
4(x - 2)^2 + 3x – 2 + 1 = 0
Step-by-step explanation:
The equation that has a highest x-power (degree) of 2 is quadratic.
The degrees of the answer choices are ...
25816So, only the first answer choice is a quadratic.
Answer:
10x8 + 7x4 + 1 = 0, or C
Step-by-step explanation:
got it right on edge
Hope this helps :)
Em certa adição de três números naturais consecutivos,o menor deles é 49.Qual deve ser a soma?
Answers
The question means in Portuguese: In a certain addition of three consecutive natural numbers, the smallest is 49. What should the sum be?
English: Since 49 is the smallest number, the next number up and the next number up give us the 3 consecutive numbers. So 49+50+51 is 150.
Portuguese: Como 49 é o menor número, o próximo número acima e o próximo número acima nos dão os 3 números consecutivos. Então 49 + 50 + 51 é 150.
Help plswith 4 & 5:/
Answers
Answer:
4) J
5) D
Step-by-step explanation:
4) 416 = 2x² - 6x
2x² - 6x - 416 = 0
x² - 3x - 208 = 0
x² - 16x + 13x - 208 = 0
x(x - 16) + 13(x - 16) = 0
(x - 16)(x + 13) = 0
x = 16, -13(not possible)
So 16 rows
5) y = a(x - h)² + k
y = a(x - 3)² - 7
When x = 1, y = -10
-10 = a (1 - 3)² - 7
-10 = 4a - 7
4a = -3
a = -¾
y = -¾(x - 3)² - 7
What is the measure of angle CAB in circle O? 24 48 72 96
Answers
Answer: 24
Step-by-step explanation:
Based on the inscribed angle theorem, the measure of angle CAB in circle (O) is: A. 24 degrees.
The inscribed angle theorem.According to the inscribed angle theorem, the measure of an inscribed angle whose vertex lies on a circle is always half the measure of the intercepted arc that is subtended at a point on the circle.
Given the following data:
Inscribed angle = ∠CABIntercepted arc = 48°Based on the inscribed angle theorem, we have:
∠CAB = ∡CB/2
∠CAB = 48/2
∠CAB = 24 degrees.
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What happened as a result of the colonial victory at Saratoga?
O
A. Germany sent Hessians to support the British soldiers.
O
B. Holland sent officers to train the colonial forces.
O
C. Spain sent money and weapons to the British army.
O
D. France sent troops to support the colonists.
Answers
Perform the indicated operation 7/12 + 3/8
Answers
Answer:
23/24
Step-by-step explanation:
7/12 + 3/8
The common denominator is 24
7/12 *2/2 = 14/24
3/8 *3/3 = 9/24
Add them together
14/24+9/24 =23/24
Please help me again
Answers
Answer:
BC is 25 units
Step-by-step explanation:
AB = AC
4x + 4 = 6x - 14
4x + 4 - 4x + 14 = 6x - 14 - 4x + 14
18 / 2 = 2x / 2
9 = x
2(9) + 7
18 + 7
25
Answer: BC is 25 units
For a game, Tony has a rectangle drawn on a piece of paper that has an area of 18 in.^2. What should he do to the dimensions in order to have a similar rectangle that's area is only 2 in.^2?
options:
Divide them by nine.
Divide them by six.
Divide them by three.
Multiply them by three.
Answers
We have to divide the dimensions by 9 to get a similar rectangle that's area is only 2 in.^2
Solution:
Given that,
For a game, Tony has a rectangle drawn on a piece of paper that has an area of 18 in.^2
In order to have a similar rectangle that's area is only 2 in.^2
Thus, we need to find the scale factor
Let "c" be the scale factor
Let "x" be the area of original rectangle
Let "y" be the area of dilated rectangle
Therefore,
[tex]c = \frac{y}{x}\\\\c = \frac{2}{18}\\\\c = \frac{1}{9}[/tex]
Therefore, we have to divide the dimensions by 9 to get a similar rectangle that's area is only 2 in.^2
Answer:
Divide them by three.
i need help I don't understand this question
14a+7
Answers
Answer:
7*(2a-1)
Step-by-step explanation:
Answer:
7*(2a+1) / 2*(7a+1)
Step-by-step explanation: