Here is some sample data that is already in a stem-and-leaf
plot:
1 | 8
2 |
3 | 5 8
4 | 1 3 8 8
5 | 0 2 3 5 9
6 | 2 6 8 9
Key: 1|6 = 16
Find the following, round to three decimal places where
necessar
Answers
Frequency distribution table:
Interval Lower limit Upper limit Frequency
10-19 10 19 1
Key: 1|6 = 16
From the given stem-and-leaf plot, we can find the following details:
Frequency: Count of numbers for each stem.
Leaf unit: It represents the decimal part of a number. The stem represents the integer part of the number.
Here are the details of the stem and leaf values:
1 | 8: 18 (1 count)
2 | : 20 (1 count)
3 | 5 8: 35, 38 (2 counts)
4 | 1 3 8 8: 41, 43, 48, 48 (4 counts)
5 | 0 2 3 5 9: 50, 52, 53, 55, 59 (5 counts)
6 | 2 6 8 9: 62, 66, 68, 69 (4 counts)
The stem-and-leaf plot can be transformed into a frequency distribution table that lists all the values, along with their respective frequencies. Here's how to do that:
Interval: The range of values included in each class. Here we can use a range of 10.
Lower Limits: The lowest value that can belong to each class. In this example, the lower limit of the first class is 10.
Upper Limits: The highest value that can belong to each class. Here, the upper limit of the first class is 19.
Frequency: The count of data values that belong to each class.
Below is the frequency distribution table based on the given stem-and-leaf plot:
Interval Lower limit Upper limit Frequency
10-19 10 19 1
20-29 20 29 1
30-39 30 39 2
40-49 40 49 4
50-59 50 59 5
60-69 60 69 4
The lower limit for the first class is 10, and the upper limit for the first class is 19. Thus, the first class interval is 10-19. The frequency of the first class is 1, indicating that there is one value that falls between 10 and 19 inclusive, which is 16. Thus, the frequency for the 10-19 class is 1.
Therefore, the answer to the question is as follows:
Frequency distribution table:
Interval Lower limit Upper limit Frequency
10-19 10 19 1
Key: 1|6 = 16
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Related Questions
Brooklyn and Lincoln like to work on brain teasers. Brooklyn has 7 brain teasers. If together they have 15 brain teasers, then we can use the equation x + 7 = 15 to determine how many brain teasers Lincoln has. How many brain teasers does Lincoln have?
Answers
Brooklyn has 7 brain teasers and total of 15 brain teasers, then Lincoln has 8 brain teasers.
What is Linear equation?Linear equations are equations that can be written in the form ax + b = 0, where a and b are constants and x is a variable. Linear equations represent straight lines when graphed on a coordinate plane.
We can solve the Linear equation x + 7 = 15 to determine how many brain teasers Lincoln has.
First, we want to isolate the variable x on one side of the equation. To do this, we can subtract 7 from both sides of the equation:
x + 7 - 7 = 15 - 7
Simplifying the equation gives us:
x = 8
Therefore, Lincoln has 8 brain teasers.
In conclusion, if Brooklyn has 7 brain teasers and together they have 15 brain teasers, then Lincoln has 8 brain teasers.
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HELP HELP HELP
A house painting company charges $350 plus $15 per hour. Another company charges $275 plus $20 per hour. Write an equation that represents when both companies will cost the same amount. How long will the job be when both companies charge the same amount? How much will they charge?
Question 1: Write an equation.
Question 2: How long will the job be when both companies will cost the same amount?
Question 3: How much will they charge?
Answers
Answer:
BelowI hope it helps ♥Step-by-step explanation:
1. Equation representing when both companies will cost the same amount :
\(350 + 15x = 275 + 20x\)
2. Let x equal the number of hours a job takes , then the first house painting company will charge 350+15x , the second house painting will charge 275 +20x. If the two companies charge the same amount , we will have;
\(350 +15x = 275+20x\\\\350 - 275 = 20x - 15x\\\\75 = 5x\\\\\frac{75}{5} = \frac{5x}{5} \\\\15 = x\\\\x = 15\:hours\)
3. For a job that takes 15 hours , the first company will cost ;
\(350 + 15(15) = 575\)
For a job that takes 15 hours , the second company will cost ;
\(275+20x\\\\275+20(15)\\\\275 +300\\\\=575\)
Quadrilateral M N P Q is a rectangle. (Lesson 6-4)
If M C=4.5 x-2.5 and N C=4 x+1.5 find Q N .
Answers
In quadrilateral MNPQ the length of QN is 33.5.
In a rectangle, opposite sides are congruent. Therefore, if MC and NC are given, we can determine the length of the side opposite to NC, which is QN.
MC = 4.5x - 2.5
NC = 4x + 1.5
Since MC and NC are opposite sides of the rectangle, they are congruent. So we can set them equal to each other:
4.5x - 2.5 = 4x + 1.5
To solve for x, we can isolate the variable terms:
4.5x - 4x = 1.5 + 2.5
0.5x = 4
x = 4 / 0.5
x = 8
Now that we have the value of x, we can substitute it back into one of the expressions to find the length of QN:
NC = 4x + 1.5
QN = 4(8) + 1.5
QN = 32 + 1.5
QN = 33.5
Therefore, the length of QN is 33.5.
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I have been stuck on this one for a while! Please help!! Thanks in advance!!!
A television priced at $299. There is a 6% sales tax. How much sales tax is paid on the TV, not the total price?
Answers
Answer:
$17.94 is paid for sales tax
Step-by-step explanation:
Sales tax rate × Price without sales tax = Amount of sales tax
0.06 × 299 = 17.94
(Total paid for the television: $316.94)
Hope this helps :)
The hypotenuse of a right triangle measures 16 cm and one of its legs measures 5 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.
Answers
Answer:
15.2 (rounded)
Step-by-step explanation:
To solve we need to use the pythagrom theorem. This theory states that \(a^{2} + b^2 = c^2\). In which a and b are the legs of the triangle and c is the hypotenuse.
Because we have these numbers we can plug them into our equation:
\(5^2 + b^2 = 16^2\). \(5^2 = 25\) and \(16^2 = 256\) so our final equation is \(25 + b^2 = 256\). To find b (our missing leg) we need to subtract 25 from both sides. This leaves us with the problem \(b^2=231\). The final step would be to square root both sides and we get our answer of about 15.2
189,360 +22,857
Answers
Answer:
212,217
Step-by-step explanation:
189360+22857 = 212,217
a distribution of values is normal with a mean of 193.6 and a standard deviation of 43.1. use exact z-scores or z-scores rounded to 2 decimal places. find the probability that a randomly selected value is between 215.2 and 241.
Answers
Therefore, the probability that a randomly selected value is between 215.2 and 241 is approximately 0.1366.
To solve this problem, we need to standardize the values using the z-score formula:
z = (x - μ) / σ
where x is the value of interest, μ is the mean, and σ is the standard deviation.
For the value of 215.2:
z1 = (215.2 - 193.6) / 43.1 = 0.4995 (rounded to 4 decimal places)
For the value of 241:
z2 = (241 - 193.6) / 43.1 = 1.0912 (rounded to 4 decimal places)
Now we can use a standard normal table or calculator to find the area under the standard normal curve between these two z-scores:
P(0.4995 < Z < 1.0912) = 0.1366
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b)são múltiplos de 3 mas não de 2:
Answers
Answer:
3, 9, 15, 21, 27, 33, 39, 45...
Step-by-step explanation:
Los números que son múltiplos de 3 mas no de 2 son todos aquellos número que, formando parte del grupo de números divisibles por 3, sean impares. Es decir que todo número divisible por 3 que no termine en un número par no será divisible por 2. Ello es así porque todos los números pares son divisibles por 2.
calculate a2, a3, a4, . . . until you detect a pattern. write a general formula for an.'
Answers
To calculate the values of a^2, a^3, a^4, and so on, we can observe the pattern and derive a general formula for an. the general formula for an is given by an = a^(n+1)
Let's consider the sequence of powers: a^2, a^3, a^4, ...
Looking at the pattern, we observe that each term is obtained by multiplying the previous term by a. Therefore, we can express the nth term an as:
an = a * an-1
By using this recursive relation, we can calculate the values of a^2, a^3, a^4, and so on. For example, if we know a^2 = b, then a^3 = a * a^2 = a * b, a^4 = a * a^3 = a * (a * b), and so on.
However, if we are looking for a general formula for an without relying on previous terms, we can observe that an = a^(n+1), where n is a positive integer.
Therefore, the general formula for an is given by:
an = a^(n+1)
This formula allows us to calculate any term in the sequence directly without needing to rely on previous terms.
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What is 2/5 divided 3/4
Answers
Answer:
8/15
Step-by-step explanation:
To divide by a fraction, change the division to a multiplication, and flip the fraction.
2/5 / 3/4 = 2/5 * 4/3 = 8/15
Solve the simultaneous equation x-y=5 and 2x-y=13
Answers
First, we can multiply the first equation by 2 to eliminate the x term:
2(x - y = 5) gives us 2x - 2y = 10.
Next, we can subtract the second equation from this equation to eliminate the y term:
(2x - 2y = 10) - (2x - y = 13) gives us -y = -3.
Finally, we can solve for y by dividing both sides by -1:
-y/-1 = -3/-1 gives us y = 3.
Now that we know y = 3, we can substitute this value back into either of the original equations to solve for x.
Using the first equation, we have:
x - y = 5
x - 3 = 5
x = 8
Thus, the solution to the simultaneous equations x - y = 5 and 2x - y = 13 is x = 8 and y = 3.
how much does it cost to run a 60 watt led light bulb for 24 hours
Answers
Running a 60-watt LED light bulb for 24 hours would consume 1.44 kilowatt-hours (kWh) of electricity, which, depending on the cost of electricity in your area, could range from around $0.10 to $0.30.
To calculate the cost of running a 60-watt LED light bulb for 24 hours, we need to determine the energy consumption in kilowatt-hours (kWh) and multiply it by the cost per kWh in your area.
First, convert the wattage to kilowatts by dividing it by 1000: 60 watts ÷ 1000 = 0.06 kilowatts.
Next, calculate the energy consumption by multiplying the power (0.06 kW) by the time (24 hours): 0.06 kW × 24 hours = 1.44 kWh.
The cost will vary depending on your location and the price of electricity. In the United States, the average residential electricity rate is around $0.13 per kWh. Multiplying the energy consumption (1.44 kWh) by the electricity rate ($0.13) gives us the cost: 1.44 kWh × $0.13/kWh = $0.1872.
Therefore, the cost to run a 60-watt LED light bulb for 24 hours would be around $0.10 to $0.30, depending on the specific electricity rates in your area.
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HURRY PLEASE!! I’ll mark you as brainliest
Evan has agreed to mow his neighbor's lawn each week. His neighbor will pay him $15 each week. Evan will also babysit some hours each week for $10 per hour. Evan needs to make at least $100 per week to save for his own car, but if he makes $200 or more each week his parents will charge him rent. How many hours h should Evan agree to baby-sit each week to avoid paying rent but still be able to save for his car?
Answers
Answer:
200>15+10h
Step-by-step explanation:
200=15+10h
185=10h
18.5=h
As long as Andrew babysits LESS THAN 18.5 hours each week, he will be able to save for a car without having to pay rent.
Can i get brainliest please?
d) The shadow of a vertical tower on a level ground increases by 10m, when the altitude of sum changes from angle of elevation 45° to 30°. Find the height of the towe correct to one place of decimal. (Take root 3 = 1.732)
Help As soon as possible please with picture please
Answers
Answer:
Below.
Step-by-step explanation:
I cant draw you a picture but it will be one right triangle inside the other where the vertical tower will be one leg common to 2 triangles and the base of the 2 triangles will be x and x+10 metres.
Tan 30 = h/ (x + 10)
tan 45 = h/x where h is the height of the tower.
From the second equation x = h / tan45
Substituting in the first equation;
tan30 = h / (h/tan45 + 10
Tan 30 = 1/ √3 and tan 45 = 1 so
1/ 1.732 = h/ (h + 10)
0.5774 = h/(h + 10)
h = 0.5774h + 57.74
0.4226 h = 57.74
h = 136.6 m to nearest tenth.
Which triangle is NLM congruent to ? Please answer !!!!! Will mark Brianliest !!!!!!!!! URGENT
Answers
Answer:
Triangle NLM is congruent to triangle XZYStep-by-step explanation:
hope this helps
The figure below is a net for a right rectangular prism.
13 cm
10 cm
10 cm
7 cm
10 cm
10 cm
7 cm
What is the surface area of the right rectangular prism, in
square centimeters?
Answers
Answer:
582 cm²
Step-by-step explanation:
The main vertical rectangle in the middle is 13 cm wide. Its length is
10 cm + 7 cm + 10 cm + 7 cm = 34 cm
Then each of the two rectangles on the sides is 10 cm by 7 cm.
area = 13 cm × 34 cm + 2 × 10 cm × 7 cm
area = 582 cm²
The table below shows the number y of students at a school from 2010 to 2015, where x = 0 represents 2010.
Year, x
0
1
b. Interpret the slope.
An equation of the line of best fit is y =
2
Number of Students, y 1587 1576 1555 1552 1540 1531
a. Use a graphing calculator to find an equation of the line of best fit. Round the slope to the nearest tenth and round the
y-intercept to the nearest whole number.
3
The slope indicates that the number of students
4 5
Answers
The equation of the line of best fit is given as y = -11.2X + 1585
The slope indicates that the number of student would decrease by 11.2
To the nearest thousandth, The value of R is -0.9842. This shows that there is a strong negative correlation.
How solve for the line of best fit using a graph calculatorThe x and the y values would be inputted . The output is as shown on the image. Then the negative value of the slope tells us that there is a decrease in the number of students
From the attached solution, the graph shows the slope is given as y = -11.2X + 1585
The negative value shows that there is a decrease in the number of students. That is shown in the slope of -11.2
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Two airplanes leave the airport at the same time. Thirty minutes later, they are 250 miles apart. If one plane traveled 230 miles and the other plane traveled 315 miles during that time, find the angle θ between their flight paths. Show all work clearly and neatly. Round to the nearest tenth.
Answers
To answer this question, we can use the Cosine Law. We have that the general formula for it is as follows:
\(c^2=a^2+b^2-2ab\cos C\)We need to remember that angle C is the angle in front of the side c. Then we have - from the graph:
• c = 250mi
,• a = 230mi
,• b = 315mi
And we will find the angle Θ as follows - without using units:
\(250^2=230^2+315^2-2(230)(315)\cos \theta\)Then, if we solve the equation for cosΘ, we will have:
\(62500=52900+99225-144900\cos \theta\)\(62500=152125-144900\cos \theta\)Then, we have:
\(62500-152125=-144900\cos \theta\)\(-\frac{89625}{-144900}=\cos \theta\Rightarrow\cos \theta=0.618530020704\)If we need to find the angle, Θ, we need to apply the inverse function of cosine, arccosine, to both sides of the equation to find it. Then, we have:
\(\arccos (\cos \theta)=\arccos (0.618530020704)\)Then
\(\theta=51.7911319179^{\circ}\)If we round the value to the nearest tenth, then we have that:
\(\theta=51.8^{\circ}\)In summary, therefore, the angle Θ between their flights paths is Θ = 51.8º - rounded to the nearest tenth.
Solve the problem below PLease
Answers
Answer: B) y = -x^4
Work: I just plugged in the numbers into all the equations listed, and B worked correctly for them all, thus that's the correct answer.
I hope this helps, and Happy Holidays. :)
Find the value of 3x+6 given that -2x-8= 8
Simplify your answer as much as possible.
3x + 6 =
please help me im literally so desperate I'm already failing math so please help me!!!
Answers
I need the answer for Y please.
Answers
Answer:
follow me and answer my question for 50 points
Step-by-step explanation:
Find the valué of x.
Which is the answer?
A.25
B.34
C.27
D.28
Please help:(
Answers
135/ 5x = 27
Answer:
c. 27
Step-by-step explanation:
5x = 135. because they are corresponding angles
5x = 135
x = 135/5
x = 27
25POINTS!!
Figure ABCD is transformed to figure A prime B prime C prime D prime, as shown below:
A coordinate grid is shown from negative 5 to 0 to 5 on both x -and y-axes. A polygon ABCD has A at ordered pair 1, 3, B at ordered pair 3, 4, C at ordered pair 2, 1, D at ordered pair 1, 1. A polygon A prime B prime C prime D prime has A prime at ordered pair negative 3, 3, B prime at ordered pair negative 5, 4, C prime at ordered pair negative 4, 1, D prime at ordered pair negative 3, 1.
Which of the following sequences of transformations is used to obtain figure A prime B prime C prime D prime from figure ABCD?
Reflection over the x-axis followed by a translation to the right by 2 units
Reflection over the y-axis followed by a translation to the left by 2 units
Counterclockwise rotation by 90 degrees about the origin followed by a translation to the right by 2 units
Counterclockwise rotation by 90 degrees about the origin followed by a translation to the left by 2 units
Answers
Answer: B.
Step-by-step explanation:
Answer:
The answer is B: Reflection over the y-axis followed by a translation to the left by 2 units
Step-by-step explanation:
I had this on a test one time and I got 100%
(co
Write a cosine function that has an amplitude of 2, a midline of 5 and a period of 8.
Answers
Answer:
y=2 cos (π/4x-π/4)
Step-by-step explanation:
Given
A cosine function has an amplitude of 2, a midline of 5 and a period of 8.
To find:
A cosine function.
Explanation:
Let the function be,
\(y=Acos(ws+p)\)
Since amplitude is 2.
Then,
\(A=2\)
Also, since the period is 8.
Then,
\(w=\frac{2\pi }{8}\)
\(w=\frac{\pi }{4}\)
And, since midline is 5.
Hence, the cosine function is,
y=2 cos (\(\frac{\pi }{4}\)x-\(\frac{\pi }{4}\)
Number expression for 84
Answers
Answer:
How do we get a bigger number? Subtracting or dividing will just make it smaller. So we have to multiply. We need it about 4 times bigger (3 x 28 = 84, 4 x 28 .
Step-by-step explanation:
A number can be any number. It can be 4, it can be 56, it can even be 452,890.14. So the number expression for 84, would have to be 84. It's that simple. If there's something I'm missing, (i'm just an 8th grader) tell me please. Otherwise, your a doofus.
Simplify each expression, #1: 4(f+2g) - 4g +f. #2: 5g(9m-2) + 3g
Answers
Answer:
1) 5f
2) 45gm-7g
Step-by-step explanation:
hope this helped!
pls answer. On a coordinate plane, a line with a 90-degree angle crosses the x-axis at (negative 4, 0), turns at (negative 1, 3), crosses the y-axis at (0, 2) and the x-axis at (2, 0). What is the range of the function on the graph? all real numbers all real numbers less than or equal to –1 all real numbers less than or equal to 3 all real numbers less than or equal to 0
Answers
Range: All real numbers greater than or equal to 3. The Option C.
What is the range of the function on the graph formed by the line?To find the range of the function, we need to determine the set of all possible y-values that the function takes.
Since the line crosses the y-axis at (0, 2), we know that the function's range includes the value 2. Also, since the line turns at (-1, 3), the function takes values greater than or equal to 3.
Therefore, the range of the function is all real numbers greater than or equal to 3.
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This table shows the amount of tokens a child has left after playing x number of games at an arcade
When graphed, all of these points lie on the same line.
What is the y-intercept and slope of this line?
Drag an answer into each box.
Games Played, x Tokens Left, y
0 85
5 71
10 57
15 43
20 29
25 15
Slope y-intercept
answers;
a. - 5/14
b. -14/5
c. 0
d. 85
this is multi answer pls
Answers
Answer:
60x x 90fg
Step-by-step explanation:
Answer:
The y-intercept is 85 the slope is -14/5
Sonequa has two containers one in the shape of a cylinder and the other in the shape of a cone the two containers of equal radii and equal Heights she investigated the relationship between the volume of the cone and the cylinder by transferring water between the two containers which of the following claims is most likely to be supported using the result of sonequa investigation
Answers
Answer:35
Step-by-step explanation:
The volume of a cylinder is calculated by multiplying the area of its base by its height. The formula for the volume of a cylinder is V = πr²h, where r is the radius of the base and h is the height.
The volume of a cone is calculated by multiplying the area of its base by its height and then dividing by 3. The formula for the volume of a cone is V = (1/3)πr²h, where r is the radius of the base and h is the height.
Since Sonequa’s two containers have equal radii and equal heights, it can be concluded that the volume of the cylinder is three times the volume of the cone. This means that if Sonequa fills the cone with water and pours it into the cylinder, she will need to repeat this process three times to fill the cylinder completely.
So, the claim that is most likely to be supported using the result of Sonequa’s investigation is: “The volume of a cylinder with the same radius and height as a cone is three times greater than the volume of the cone.”
Thomas has finished 4 problems of his weekly math homework if he needs to solve a total of 20 problems which of the following shows the equivalent of the percentage of his math homework thomas still needs to complete.
Answers
Answer:
B and C
Explanation:
Number of the problems in total = 20
Number that he has finished = 4
So, the number of homework Thomas still needs to complete
=20-4
=16
Expressing this as a percentage, we have:
\(\begin{gathered} \text{Percentage}=\frac{16}{20}\times100 \\ =0.8\times100 \\ =80\% \end{gathered}\)Therefore, the equivalent of the percentage obtained above are:
\(\begin{gathered} (B)0.80 \\ (C)\frac{80}{100} \end{gathered}\)