Use the frequency distribution to complete parts (a) through (e).Use the frequency distribution to complete parts (a) through (e) 12-21 freq 0 22-31 freq 7. 32-41 freq 7 42-51 freq 9 52-61 freq 7 62-71 freq 0
Answers
The class width is 9 , Midpoint of the first class is 16.5 , total frequency is 30, and Cumulative frequency of first three classes is 14
What is Frequency distribution ?Frequency distribution refers to a table that shows how often different values or ranges of values occur in a set of data. It is a way of organizing data into groups, or classes, based on the values of the data and the number of times each value or range of values occurs.A frequency distribution includes several components, such as class intervals (ranges of values), class boundaries (the upper and lower limits of each class interval), frequency (the number of times each class interval occurs), and cumulative frequency (the total frequency up to and including a certain class interval).
(a) What is the class width?
To find the class width, we subtract the lower class limit from the upper class limit for any one class. Here, we can take the class 22-31, which has a lower class limit of 22 and an upper class limit of 31. Therefore, the class width is:
Class width = Upper class limit - Lower class limit = 31 - 22 = 9
(b) What is the midpoint of the first class?
The first class is 12-21. To find the midpoint, we add the lower class limit to the upper class limit and divide by 2:
Midpoint = (Lower class limit + Upper class limit) / 2 = (12 + 21) / 2 = 16.5
(c) What is the relative frequency of the fourth class?
The fourth class is 42-51, and the total frequency is the sum of all frequencies, which is:
Total frequency = 0 + 7 + 7 + 9 + 7 + 0 = 30
To find the relative frequency of the fourth class, we divide its frequency by the total frequency:
Relative frequency of fourth class = Frequency of fourth class / Total frequency = 9 / 30 = 0.3
(d) What is the cumulative frequency of the third class?
The cumulative frequency of a class is the sum of the frequencies of that class and all previous classes. The third class is 32-41, and its frequency is 7. The cumulative frequency of the first three classes is:
Cumulative frequency of first three classes = Frequency of first class + Frequency of second class + Frequency of third class
= 0 + 7 + 7 = 14
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Related Questions
Please help! i have no clue what the answers are!
Answers
Answer:
1) 9
2) 27
3) Read explanation below!
Step-by-step explanation:
1) Use the Pythagorean theorem to find AD. Show your working
Pythagorean theorem = a²+b²=c²Where a = 12 and c=15 = 12²+?²=15²To find '?' we first have to expand the indices...
12² = 14415² = 225144 + ?² = 225Now work out '?'
225 - 144 = 81√81 = 92) Find AC. Show your working
We have found out that AD is 9 and to find AC we have to add 18!
9 + 18 = 273) Is ΔABC a right triangle? Explain
We can that ΔABC is not a right angle as none of the angles in the triangle are 90°! If it was a right angled triangle we would see the ∟sign on one of the angles. Even though there are two of those in the middle it does not count as the question is asking about ΔABC!!
Have a lovely day :)
Adam is a team leader for a packing and moving company. Today, his team packed 72 boxes in 4 hours. What was his team's packing rate, in boxes per hour?
A.
20 boxes per hour
B.
18 boxes per hour
C.
21 boxes per hour
D.
17 boxes per hour
Answers
Answer: 18 boxes per hour
Step-by-step explanation:
72 divided by 4 is 18
can somone help!!! Which two consecutive integers does − √183 lie between? A) 13 and 14 B) 14 and 15 C) −13 and −14 D) −14 and −15
Answers
Answer:
the answer would be C
Step-by-step explanation:
Answer:
-13/-14 c is correct
Step-by-step explanation:
A cafe offers 3 sides with the lunch special. A customer can choose from rice, green beans, carrots, salad, and corn. How many different combinations are possible?
Answers
Answer:
A customer can select from a total of ten different side combinations.
Step-by-step explanation:
There are 5 options for the first side, 5 options for the second side, and 5 options for the third side, so there are 5 * 5 * 5 = <<555=125>>125 different combinations of sides. However, each side can be chosen multiple times, so some of these combinations will be duplicates. For example, if the customer chooses rice for all three sides, that will be counted as one combination, but it is actually the same as choosing rice, rice, rice.
To find the number of unique combinations, we can use the combination formula, which is:
combinations = n! / (r! * (n - r)!),
where n is the total number of options and r is the number of options chosen at a time. In this case, n is 5 and r is 3, so the formula becomes:
combinations = 5! / (3! * (5 - 3)!) = 5! / (3! * 2!) = (5 * 4 * 3) / (3 * 2 * 1) = 10.
Therefore, there are a total of 10 different combinations of sides that a customer can choose from.
The following bar chart shows the distances run by Jay's family in a race.
Find the median distance in km.
Answers
The median of the distances is M = 6.5 kilometers
Given data ,
To find the median of a set of numbers, we arrange the numbers in ascending order and then locate the middle value. If there is an odd number of values, the median is the middle number. If there is an even number of values, the median is the average of the two middle numbers.
Arranging the given set of numbers in ascending order: {4, 5, 8, 11}
Since the set has an even number of values, the median is the average of the two middle numbers. In this case, the two middle numbers are 5 and 8. To find the average, we add these two numbers and divide by 2:
(5 + 8) / 2 = 13 / 2 = 6.5
Hence , the median of the given set {4, 5, 8, 11} is 6.5
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please answer asap please
A piano mover uses a ramp to move a piano into a house. The doorway to the house is 2 feet above the ground and the ramp starts 7 feet from the doorway. Assuming the ground is level and is perpendicular to the side of the house, what is the approximate length of ramp? You must round your answer to two decimal places.
Answers
Which of the following statements is true of an essay's conclusion?
a.) It provides new evidence to support your argument.
b.) It hooks your reader.
c.) It includes the first statement of your thesis.
d.) It creates a sense of completeness.
Answers
Consider a recent interaction you have had with a co-worker or item that you saw in the media that might have included logical errors.
Share the example as well as the logical errors that are present in the example.
Discuss some common applications of logic
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Logical error example can be people without reasoning out thoughts supporting people who promised them their betterment.
What is Logical Error/Fallacies?
Common thinking flaws called fallacies will impeach the logic of your argument. Fallacies can be irrelevant or invalid arguments, and they are frequently recognised since they don't have any supporting data.
Basic Logic - knowing the study of current reasoning is basic logic.
Logic pertains to all subjects, since people can reason about anything they can think about politics, the art , Literature, business, the sciences and every day problems are all subject open to reasoning.
Few times ago , I was in a political party rally. I observed that one think clever politician knows very well how to manipulate public opinion , contestant addressing and promising about that is not in even going to possible but many of them endorse strong convictions , that whatever he told is going to be true , people don't even think for reason with the promises that he did.
Legislative assembly member's contestant told in his addressing that we promises to all of you we will provide free petrol, diesel, free rice and now he is in the member of legislative assembly, but no promises are fulfilled. How people can't even reason their thought .
Therefore, this is an example of logical error.
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In decimal form is 2/4 and 1/2 the same?
Answers
Yes. Both are equal to 0.5 in decimal form.
Answer:
yes
Step-by-step explanation:
2/4=1/2
0.5=0.5
so 2/4=1/2 in decimal form
Ralph is 3 times as old as Sara. In 4 years, Ralph will be only tice as old as Sara will be then.
If x represents Sara's age now, which of the following expressions represents Ralph's age in four years?
A. 3x
B. 2x+4
C. 3x+4
Answers
Answer:
In 6 years, Ralph will be only twice as old as Sara
Step-by-step explanation:
Answer:
The answer is C, 3x+4
Step-by-step explanation:
The “in four years” part translates to +4. The 3x translates to 3 times his current age. Hope this helped :)
Please help! will make brainlist
Answers
Answer:
B'= ( -1, -3 ) D'= ( 3, -3 )
Step-by-step explanation:
Well we just divide the coordinates of each point by 3!
Quadrilateral A'B'C'D'is the image of quadrilateral ABCD under a rotation of about point Q.
Determine the angle of rotation
a. -90
b. -60
c. 60
d. 90
Answers
9514 1404 393
Answer:
a. -90°
Step-by-step explanation:
Point A is straight west of Q.
Point A' is straight north of Q. This represents a rotation of 90° clockwise, or -90°. (Positive angles are counterclockwise.)
Reflect (5, 4) over the y-axis.
Then translate the result to the right 2 units.
What are the coordinates of the final point?
Answers
Answer:
(-3, 4)
Step-by-step explanation:
A three-way intersection is sometimes called a
T-intersection
Y-intersection
Both a and b
Neither a nor b
Answers
Answer:
Both A and B
Step-by-step explanation:
Both a and b. A three-way intersection can be referred to as a T-intersection or a Y-intersection, depending on the shape of the intersection. In a T-intersection, one road intersects another road perpendicularly, forming a T-shape. In a Y-intersection, one road splits into two branches, forming a Y-shape.
Help me please I give brainliest and be serious
Answers
Answer:
y=120
Step-by-step explanation:
y=0.75x-0.15x
x=200
y=0.75x200-0.15x200
y=150-30
y=120
I hope this helps :D
If I make $16.15 per hour. How much will I earn in a 5hr shift?
Answers
6thousandths times 8
Answers
Answer:
.048
Step-by-step explanation:
6 thousandths = 0.006
So, 0.006 times 8 would be...
.006
x 8
.048
Hope this helps you out! I'm not exactly sure how to explain how to multiply, but if you're confused, you can always ask someone for help...have a great day :)
8. What is the radian measure of an angle of 54°
Answers
To get the radian measure of an angle we have to do this conversion:
\(54°\times\frac{\pi\text{ rad}}{180°}=0.9425\)The radian measure of an angle of 54° is 0.9425 radians.
Suppose that your boss must choose three employees in your office to attend a conference in Jamaica. Because all 19 of you want to go, he decides that the only fair way is to draw names out of a hat. What is the probability that you, Anna, and Kevin are chosen? Enter a fraction or round your answer to 4 decimal places, if necessary.
Answers
Answer:
.0010319
Step-by-step explanation:
what is a pie chart
Answers
Answer:
Step-by-step explanation:
its a chart in a circle that is usually out of a hundred percent and they divide certain traits into the chart
Answer:
A pie chart is a kind of graph that is in the shape of a circle, it is called a pie chart because its shape, and the percents are in the shapes of pie slices,
i want the answer for this question fast plz
Answers
Answer:
l dont know bro sorry but l will let you konw
You had $250 to spend on six hydro flask. After buying them you had $10 . How much did each flask cost?
Answers
Step-by-step explanation:
\(see \: if \: 10 \: are \: left \: then \: we \: hve \: spent \\ 250 - 10 = 240 \: dollars \\ \)
hence
\(six \: flasks \: cost \: 240 \: dollars \\ so \: if \: we \: divide \: 240 \: by \: 6 \: we \: get \: 40 \: \\ \)
so one flask costs 40$
please help its due in a hour . write the equation of the line that passes through the given point and is parallel to the given line.
Answers
In order to solve this exercise, it is important to remember the following:
1. The equation of a horizontal line, has this form:
\(y=k\)Where "k" is the y-intercept.
2. The slope of a horizontal line is zero:
\(m=0\)3. The horizontal lines are parallel to the x-axis.
4. All points on a horizontal line will have the same y-coordinate.
In this case, you know this equation of a line:
\(y=-4\)So you can identify that it is a horizontal line and its y-intercept is:
\(k=-4\)Therefore, the other line parallel to the given line is an horizontal line.
Since it passes through the point (-3,2) and the y-coordinate on an horizontal line is always the same, you can determine that the equation for this line is:
\(y=2\)The answer is:
\(y=2\)At Ben’s school 3/5 of the seventh grade students play sport there are 450 students in the seventh grade what is the total number of seventh grade students who play a sport
Answers
Answer:270
Step-by-step explanation:3/5 * 450 reduce the lowest term 3 * 90 calculate first two terms : 270
Can someone help me do this.
-unnecessary comments will be reported
Answers
A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a
Answers
Answer:
53\(x_{123}\) == 134 cf
Step-by-step explanation:
A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a
The height of the building is approximately 78.63 meters.
The following is a step-by-step explanation of how to solve the problem. We'll need to use some trigonometric concepts and formulas to find the solution.
Draw a diagram of the situation described in the problem to get a better understanding of the problem. The diagram would have a right-angled triangle with angle of elevation of 66° at the bottom left vertex and another angle of elevation of 53° at the bottom right vertex. The object on top of the building is at the vertex of the triangle. Point M and I on the diagram are points on the horizontal line of sight and on the ground respectively. We can label the diagram with the following values:Angle of elevation from point A = 66°Angle of elevation from point P = 53° Length of line segment AM = h Length of line segment MP = x Length of line segment IP = y Length of line segment MT = 50m. We'll use these values to calculate the length of h, which is the height of the building.Use the tangent ratio to find x:tan 66° = h / x => x = h / tan 66°. Use the tangent ratio to find y:tan 53° = h / y => y = h / tan 53°.We know that x + y = 50, so substituting the expressions for x and y from step 3 gives:h / tan 66° + h / tan 53° = 50h = 50 tan 66° tan 53° / (tan 53° + tan 66°) ≈ 78.63 m.Therefore, the height of the building is approximately 78.63 meters.
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find area in square yards of trapezoid 5 yards, 23 yards base and 12 yards height
Answers
Answer:
I found the area its 168, I converted it to square yards 0.12963.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Formula
Area = (b1 + b2) * h /2
Givens
b1 = 5 yards
b2 = 23 yards
h = 12 yards
Solution
Area = (5 + 23)*12 / 2
Area = (28)*12/2 Divide by 2
Area = 28*6 Combine
Area = 168 Yards^2
Triangle A B C is shown as the path of a ferry. Side A B is 3.5 miles long. The ferry turns 75 degrees to side B C. Side B C is 6 miles long. Side C A has an unknown length d.
A ferry transports passengers to three different ports. From port A, the ferry travels east 3.5 miles to port B. The ship then turns 75° south and travels for 6 miles to reach port C. What is the distance d from port C to port A? Approximate to the nearest tenth of a mile.
miles
Answers
The length of C from A is 3.5 miles if AB=3.5 miles and BC is 6 miles .
Given The length of triangle ABC AB=3.5 miles , BC=6miles and AC=d
We have to find the value of d
First of all we have to draw a perpendicular from point A on side BC .
It forms two triangles ABE and AEC if E is the point where perpendicular stands on BC.
In triangle BEA
AE=\(\sqrt{3.5^{2} -3^{2} }\)
=\(\sqrt{12.25-9}\)
=\(\sqrt{3.25}\)
=1.8
Now in triangle AEC
AC=\(\sqrt{1.8^{2} +3^{2} }\)
=\(\sqrt{3.24+9}\)
=\(\sqrt{12.24}\)
=\(\sqrt{12.24}\)
=3.49 MILES
By rounding off to the nearest tenth we will get 3.4 miles
Hence the value of d is 3.4 miles.
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Answer:its 7.7
Step-by-step explanation: i did it on edge
write and solve an inequality to find the possible values of x
Answers
The inequality that represents the value of x is (b) x > 80
Writing and solving the inequality for xfrom the question, we have the following parameters that can be used in our computation:
The figure
The general rule is that
The larger the side length, the larger the angle opposite it
using the above as a guide, we have the following:
1/8x > 10
So, we have
x > 80
Hence, the inequality is x > 80
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write 15 dollars and 95 cents as a mixed number (and then reduce)
Answers
Answer:
15 19/20
Step-by-step explanation:
95 cents means 95/100 then reduce that and you get 19/20 and then on the end you still have the $15