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Answer the questions to help choose the best data display.
1 Five teams are competing in a variety of events. The table shows the number of darts that hit
the bullseye for team results.
Team
Sharks
Tigers
Bananas
Stem-and-Leaf Plot frequency with
Eagles
Rubies
Number of
Bullseyes
12
2
7
1
10
What type of information is given?
What does the organizer want the display to show?
How will the display be analyzed?
Hill Education
gin
Answers
The information given in the table is the number of bullseyes hit by each team in a dart competition.
The organizer wants the display to show the performance of each team in hitting the bullseye in the competition.
The team with the highest number of bullseyes will be considered the best performer, while the team with the lowest number of bullseyes will be considered the worst performer
We have,
The information given in the table is the number of bullseyes hit by each team in a dart competition.
The organizer wants the display to show the performance of each team in hitting the bullseye in the competition.
The display will allow the audience to compare the performance of different teams and draw conclusions about which team performed better in hitting the bullseye.
The display will be analyzed by comparing the number of bullseyes hit by each team.
The team with the highest number of bullseyes will be considered the best performer, while the team with the lowest number of bullseyes will be considered the worst performer.
The audience may also analyze the performance of each team in relation to their expectations or previous performance in similar competitions.
Thus,
The information on the data displayed and its analysis is given above.
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Related Questions
In a certain Algebra 2 class of 28 students, 7 of them play basketball and 5 of them play baseball. There are 18 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?
Answers
Answer:
2 students play both
Step-by-step explanation:n(u)=28
n(b)=7,n(b)=5,n(who play neither sport)=18
HERE,
n(u)=n(b)+n(b)-n(BnB)+n(who play neither sport)
28=7+5-n(BnB)+18
28=30-n(BnB)
n(BnB)=30-28
=2 answer
Jenny mixed 4 kg of mixed nuts containing 16% peanuts with 12 kg of mixed nuts containing 40% peanuts. What percent of the new mixture if peanuts?
A. 34%
B. 17%
C. 13%
D. 26%
Answers
The new mixture contains 34% peanuts. The correct option is A
To solve this problemThe idea of weighted averages can be applied.
First, let's determine the mixture's entire weight:
Total weight = 4 kg + 12 kg = 16 kg
We can now calculate how many peanuts there are overall in the mixture:
Total weight in kilograms is = (4 kg) (0.16) + (12 kg) (0.40)
= 0.64 kg + 4.80 kg
= 5.44 kg.
Finally, we can find the percentage of peanuts in the mixture:
Percent of peanuts = (Total amount of peanuts / Total weight) x 100%
= (5.44 kg / 16 kg) x 100
= 34%
Therefore, the new mixture contains 34% peanuts, which is option A.
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Question 3-(3 marks available) у, Question 4 10 (3 marks available) X y -X Quadratic Graphs a) Complete the table of values for y=x²+1 -2 -1 0 1 2 3 52 1 2 5 10 b) The graph of y = x² + 1 is drawn or the axes on the left. Use the graph to estimate the values of x when y = 4. Give your answers to 1 decimal place. Quadratic Graphs
Answers
The y-values are 5, 2, 1, 2, 5, 10 and 17.
Given that an equation of a curve, y = x²+1, we need to find the values of the y-intercept corresponding to the given x-intercept,
So,
y = x²+1
Putting the values of x,
x = -2,
y = (-2)²+1
y = 5
(-2, 5)
x = -1
y = (-1)²+1
y = 2
x = 0,
y = (0)²+1
y = 1
x = 1
y = 2
x = 2,
y = 2²+1
y = 5
x = 3,
y = 3²+1
y = 10
when x = 4,
y = 4²+1
y = 17
Hence, the y-values are 5, 2, 1, 2, 5, 10 and 17.
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a cashier at the local bank is expected to serve 12 customers every hour.in the past 15 minutes, he served 4 customer's. assuming that the cashier continue to work at the same rate, wil he meet his goal.
Answers
Since the cashier is expected to serve 12 customers every hour, he will meet his goal and serve more customers than expected if he continues to work at the same rate.
Danielle was completing her science project and mixed saline solutions A and B. Brand A was a six gallon 18% saline solution and she ended up with an 18 gallon 8% saline solution mixture. Find the percent of saline solution in brand B.
A. 21%
B. 3%
Answers
The percent of saline solution in brand B is 10.83%
How to calculate the percent of saline solution in brand B.Let's assume that brand B has x gallons of the 100% saline solution.
The amount of salt in brand A is 18% of 6 gallons = 0.18 * 6 = 1.08 gallons.
When the two brands are mixed, the total volume of the mixture is 6 + x gallons, and the total amount of salt is 1.08 + x gallons.
Since the resulting mixture is 18 gallons of 8% saline solution, we can set up the equation:
(1.08 + x) / (6 + x) = 0.08
Solving for x, we get:
1.08 + x = 0.48 + 0.08x
0.92x = 0.6
x = 0.65
So, brand B has 0.65 gallons of the 100% saline solution.
Therefore, the percent of saline solution in brand B is:
0.65 / 6) * 100% = 10.83%, which rounded to the nearest whole number is 11%.
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2. The Party Place also sells edible fruit arrangements. The number of
arrangements sold each day is shown in the list below.
12, 9, 4, 16, 5, 6, 15, 3, 19, 5, 12, 8, 4, 13, 5, 14, 15, 17, 11, 10
A. If a frequency table displays the data in 4 intervals, what are the
intervals that could be used?
First interval: 0-
Second interval: B -18
Third interval:
-
Fourth interval:
161
B. Use your intervals from Part A to complete the frequency table.
Interval
Frequency
C. If you drew a histogram for the data, which interval would be the
tallest bar?
Answers
The intervals that could be used based on the information will be:
First interval: 0-3Second interval: 4-7Third interval: 8-11Fourth interval: 12-16How to explain the dataThe frequency distribution will be:
Interval Frequency
0-3. 2
4-7. 6
8-11. 4
12-16 8
Lastly, it should be noted that to work out which bar is the tallest, we must compare the frequencies of all the intervals. In our case here, the interval with a frequency of 8, 12-16, has the highest value and therefore its bar will be the tallest in the histogram.
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The diagonals of parallelogram ABCD intersect at P. Which statements must be true? Select all that apply.
A.AP ≅ CP
B.BC ≅ AD
C.m∠ABC=90∘
D.∠CAD≅∠ACB
Answers
The statements that are true about diagonal of parallelogram;
A. AP is equal to CP
What is diagonal law of parallelogram?A parallelogram is a quadrilateral with two pairs of parallel sides. The opposite sides of a parallelogram are equal and the sum of the adjascent angles is 180°.
The diagonal of a parallelogram is a line that touches the vertex of opposite angles. Here are some of the properties of diagonal of a parallelogram.
1. The diagonal divides the parallelogram into congruent triangles
2. The diagonal of parallelogram bisects each other but they are not equal.
3. The diagonal of parallelogram bisect each other at 90°.
Therefore, the statement that is true is AP is equal to CP since AC is a diagonal.
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[tex]x^{2} -6x=7[/tex]
Answers
The solutions to the equation [tex]x^{2}[/tex] - 6x = 7 are x = 7 and x = -1.
To solve the equation [tex]x^{2}[/tex] - 6x = 7, we need to first bring all the terms to one side, so subtracting 7 from both sides gives us [tex]x^{2}[/tex] -6x - 7 = 0.
Next, we can use the quadratic formula, which is x = (-b ± [tex]\sqrt{b^{2}-4ac}[/tex]) / 2a, where a, b, and c are the coefficients of the quadratic equation a[tex]x^{2}[/tex]+bx+c=0.
In this case, a=1, b=-6, and c=-7, so plugging these values into the formula gives us x = (6 ± [tex]\sqrt{6^{2}-4(1)(-7) }[/tex]) / 2(1).
Simplifying further, we get x = (6 ± [tex]\sqrt{64}[/tex]) / 2, which can be written as x = 3 ± [tex]\sqrt{16}[/tex].
Therefore, the solutions to the equation [tex]x^{2}[/tex]-6x=7 are x = 3 + [tex]\sqrt{16}[/tex] = 3 + 4 = 7 and x = 3 - [tex]\sqrt{16}[/tex] = 3 - 4 = -1.
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You are performing a study about weekly per capita milk consumption. A previous study found weekly per capita milk consumption to be normally distributed, with a mean of 45.6 fluid ounces and a standard deviation of 11.1 fluid ounces. You randomly sample 30 people and record the weekly milk consumptions shown below.
37 55 30 38 43 46 32 63 34 47
40 27 34 54 43 44 40 47 50 51
36 28 22 42 58 43 48 41 56 37
Answers
A graph is a visual representation or diagram that shows facts or values in an ordered way. The only graph that satisfies the above shape is the third one.
In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way. The relationships between multiple items are frequently represented by the points on a graph. The term "pictograph" refers to the visual depiction of information. Each graphic represents a specified number of objects. The only graph that satisfies the above shape is the third one.
Therefore, the correct option is option C.
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Your question is incomplete but most probably your full question was,
Use continuity to evaluate the limit:
[tex]\lim_{x \to 2}\arctan(\frac{x^2-4}{3x^2-6x} )[/tex]
Answers
Find the limit...
[tex]\lim_{x \to 2} tan^{-1}(\frac{x^2-4}{3x^2-6x} )[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
[tex]\Longrightarrow \lim_{x \to 2} tan^{-1}(\frac{x^2-4}{3x^2-6x} )[/tex]
Factor the top and bottom of the expression.
[tex]\Longrightarrow \lim_{x \to 2} tan^{-1}(\frac{(x+2)(x-2)}{3x(x-2)} )[/tex]
Cancel the common factor "(x-2)."
[tex]\Longrightarrow \lim_{x \to 2} tan^{-1}(\frac{x+2}{3x} )[/tex]
Now plug in the limit.
[tex]\Longrightarrow \lim_{x \to 2} tan^{-1}(\frac{2+2}{3(2)} ) \Longrightarrow \lim_{x \to 2} tan^{-1}(\frac{4}{6} )=\boxed{tan^{-1}(\frac{2}{3} )}[/tex]
[tex]\lim_{x \to 2} tan^{-1}(\frac{x^2-4}{3x^2-6x} )=\boxed{\boxed{tan^{-1}(\frac{2}{3} )}} \therefore Sol.[/tex]
Thus, the limit is solved.
Two boxes are shaped as right rectangular prisms. The larger box is has a length of 24 cm, a width of 10 cm, and a height of 30 cm
The dimensions of the smaller box are half the dimensions of the larger box.
What is the volume of the smaller box?
Enter your answer in the box.
cm³
Answers
The volume of the smaller box is 900 cm³.
We have,
The dimensions of the smaller box are half the dimensions of the larger box.
Length = 24/2 = 12 cm
Width = 10/2 = 5 cm
Height = 30/2 = 15 cm.
The volume of the smaller box is the product of these dimensions:
Volume = length × width × height
= 12 cm × 5 cm × 15 cm
= 900 cm³
Therefore,
The volume of the smaller box is 900 cm³.
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Select the correct answer.
Determine which equation has the same solutions as the given equation.
x2 − 10x − 11 = 0
A.
(x − 10)2 = 21
B.
(x − 5)2 = 21
C.
(x − 5)2 = 36
D.
(x − 10)2 = 36
Answers
Answer:
B. (x - 5)^2 = 21
Step-by-step explanation:
Jeremy has a fish tank that has a 30 cm by 90 cm rectangular base. The water is 25 cm deep. When he drops rocks in
the tank, the water goes up by 2 cm. What is the volume in liters of the rocks?
The volume of the rocks is ____ L
Answers
The volume of water displaced can be calculated by finding the volume of the rectangular prism that is formed by the portion of the rocks that is submerged in the water. The length and width of the prism are the same as the base of the tank (30 cm by 90 cm), and the height is 2 cm (since the water level rises by 2 cm when the rocks are added). Therefore, the volume of water displaced by the rocks is:
V_water = 30 cm x 90 cm x 2 cm = 5400 cm^3
To convert the volume to liters, we divide by 1000:
V_water = 5400 cm^3 ÷ 1000 = 5.4 L
Therefore, the volume of the rocks is 5.4 L.
Four pens and three pencils cost $\$2.24$. Two pens and five pencils cost $\$1.54$. No prices include tax. In cents, what is the cost of a pencil?
Answers
- Let p be the price of a pen in cents.
- Let c be the price of a pencil in cents.
From the first sentence of the problem, we can write the following equation based on the cost of four pens and three pencils:
4p + 3c = 224 ... (Equation 1)
From the second sentence of the problem, we can write the following equation based on the cost of two pens and five pencils:
2p + 5c = 154 ... (Equation 2)
We now have two equations and two variables, which we can solve using algebra. We can start by multiplying Equation 2 by 2 to eliminate p and obtain:
4p + 10c = 308 ... (Equation 3)
We can now subtract Equation 1 from Equation 3 to eliminate 4p and obtain:
7c = 84
Solving for c, we get:
c = 12
Therefore, the cost of a pencil is 12 cents.
The mean score on the Stats exam was 75 points with a standard deviation of 5 points, and Gregor’s z-score was -3 . How many points did he score?
A. 75
B. 90
C. 65
D. 60
Answers
Answer:
The answer is D. 60
Step-by-step explanation:
We can use the formula for calculating z-score to find out how many points Gregor scored on the Stats exam. The z-score formula is:
z = (x - μ) / σ
where x is the raw score, μ is the population mean, and σ is the population standard deviation.
We know that the population mean (μ) is 75 points and the population standard deviation (σ) is 5 points. We also know that Gregor's z-score (z) is -3. Substituting these values into the formula, we get:
-3 = (x - 75) / 5
Simplifying the equation, we get:
-15 = x - 75
Adding 75 to both sides, we get:
x = 60
Therefore, Gregor scored 60 points on the Stats exam. The answer is (D) 60.
ASSAAP NEED HELPPPPPPPPP
Answers
The translation is of 5 units to the right and 3 units down, it can also be written as:
(x, y) ---> (x + 5, y - 3)
Which is the translation from F to G?To study the translation, just look at some vertex in both figures.
The top left vertex of F is at (2, 7)
And the top left vertex at G is (7, 4)
Taking the difference between these, we will get:
(7, 4) - (2, 7) = (5,, - 3)
Then the translation from F to G can be defined as:
(x, y) ---> (x + 5, y - 3)
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c) The NY Knicks won 35 games out of 65 games. What is the probability that they win the next game?
d) Find the experimental probability of a player on the New York Liberty being over 73 inches
Answers
The probability that they win the next game and player on the New York Liberty being over 73 inches is 53% and 50%
We are given that;
Games= 35/35
Now,
We can use the past performance of the Knicks as an estimate of their probability of winning a game. They won 35 games out of 65 games, so their probability of winning a game is:
P(win) = 35/65 P(win) = 0.538
To find the experimental probability of a player being over 73 inches, we need to count how many players are over 73 inches and divide by the total number of players. There are six players who are over 73 inches, so the experimental probability is:
P(over 73 inches) = 6/12 P(over 73 inches) = 0.5
Therefore, by probability the answer will be 53% and 50%.
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10/(x-2)=7/(x+2) what is the solution?
Answers
Answer:
-34/3
Step-by-step explanation:
I've provided the explanation from my e-board in a picture below
We can solve for x by cross-multiplying and simplifying the equation:
10/(x-2) = 7/(x+2)
10(x+2) = 7(x-2)
10x + 20 = 7x - 14
3x = -34
x = -34/3
Therefore, the solution is x = -34/3.
A strange new lottery requires players to predict the exact date ( month and day) and time (hours, minutes , and seconds) when an animal will emerge from hibernation One ticket allows you one guess and you need to exactly match both the date and time this event. What is the probability of winning the lottery on a single ticket?
Answers
The probability of winning the lottery on a single ticket is
P ( A ) = 1 / (12 * 30 * 24 * 60 * 60)
Given data ,
Let the probability of winning the lottery on a single ticket be P ( A )
Now , There are 12 months in a year.
There are 30 days in a month
There are 24 hours in a day.
There are 60 minutes in an hour.
There are 60 seconds in a minute.
And , the total number of possible outcomes for the date and time is:
12 (months) * 30 (days) * 24 (hours) * 60 (minutes) * 60 (seconds)
So, the probability of winning the lottery on a single ticket is:
1 (winning outcome) / (12 * 30 * 24 * 60 * 60) (total possible outcomes)
Simplifying this fraction, we get:
1 / (12 * 30 * 24 * 60 * 60)
Hence , the probability is P ( A ) = 1 / (12 * 30 * 24 * 60 * 60)
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Please answer all of them on both pages please I need this today
Answers
4.) The statement that is not true about the cube box is that the volume of the box is one square foot. That is option C.
5.) All the possible dimensions of the bottom layers include the following;
when length= 4 units; width = 3units
when length = 3 units; width = 4 units
when length = 2 units; width = 6 units
How to calculate the volume of a cube?To calculate the volume of a cube box the formula that should be used = a³
where a = 1³
volume = (1×1×1) = 1ft³
The area of the cube = 6(a²)
But a = 1
area = 6(1²)
= 6ft²
Therefore the wrong statement is that the volume of the box is one square foot instead of 1ft³.
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You roll a 6 sided dice. What is P( not greater than 2 )
Answers
Mr. Martin traveled to a city 310 miles from his home to attend a meeting. Due to car trouble, his average speed returning was 7 mph less than his speed going. If the
total time for the round trip was 12 hours, at what rate of speed did he travel to the city? (Round your answer to the nearest tenth.)
Answers
Step-by-step:
ANALYSIS:
From the question, we know that...
• 310m from his home to the meeting
• Average speed RETURNING: 7 mph LESS than the speed he went on
• Total time = 12 hours
• Rate of speed = ?
-Round off to the nearest TENTH-
EXPLANATION:
Speed = Distance / Time
• S = 310/12
• S = 25.83333... mph
• S = 25.83 (round off)
Then it says that speed returning is -7 from the speed he went on, so...
• 25.83 - 7 = 18.83 mph
Rounding off to the nearest TENTH:
18.83 = 18.8 mph
Final Answer : 18.8 mph
Two cars start at the same point and travel in opposite directions. The first car travels 10
miles per hour faster than the second. In 3 hours, they are 342 miles apart. The formula
below determines the rate of the second car. What is the rate of the second car?
3(r+ 10) + 3r = 342
Answers
The rate of the second car (r) is 52 miles/ hour.
Solving algebraic equations.There are many ways in which we can solve word problems leading to algebraic equations depending on the form, variables, and constants given in the equation.
Here, we are given two cars in which the first car travels 10 miles faster than the second car.
Let's assume that:
The miles traveled by the second car are r, Then the distance covered by the first car is r + 10.In three miles, they are 342 miles apart, Thus, we can express this mathematically as:
3(r + 10) + 3r = 342
3r + 30 + 3r = 342
6r + 30 = 342
Collect like terms
6r = 342 - 30
6r = 312
r = 312/6
r = 52
Therefore, we can conclude that the rate of the second car (r) is 52 miles/ hour.
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can you help me with this?
Answers
Answer:
8 cm³
Step-by-step explanation:
You want the volume of Prism B similar to Prism A, where the volume of Prism A is 216 cm³, its height is 9 cm, and the height of Prism B is 3 cm.
Volume ratioThe ratio of volumes is the cube of the ratio of heights:
(Prism B volume)/(Prism A volume) = ((Prism B height)/(Prism A height))³
(Prism B volume)/(216 cm³) = ((3 cm/(9 cm))³ = 1/27
Prism B volume = (216 cm³)·(1/27) = 8 cm³
The volume is 8 cubic centimeters.
The face of a clock has a circumference of 14 in.What is the area?Use 3.14 for
Answers
The area of the face of a clock with a circumference of 14 inches is approximately 15.6 square inches. This is calculated using the formula for the area of a circle, which is πr², where r is the radius of the circle.
To find the area of the face of the clock, we need to use the formula for the area of a circle, which is
A = πr²
where A is the area of the circle, π (pi) is a constant approximately equal to 3.14, and r is the radius of the circle.
Since the circumference of the clock is 14 inches, we can use the formula for the circumference of a circle to find the radius
C = 2πr
14 = 2πr
r = 14 / (2π)
r = 2.227 in (approx)
Now that we know the radius, we can use the formula for the area of a circle
A = πr²
A = 3.14 x (2.227)²
A = 15.6 sq in (approx)
Therefore, the area of the face of the clock is approximately 15.6 square inches.
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Why are inequalities like the last two problems graphed on a number line while the ones in the
Set portion of this assignment are graphed on a coordinate plane? What difference is there
between the inequalities in the last two problems and the ones found in problems 13-16?
Answers
It depends on the number of variables, if the inequality has one variable, then it is graphed on a number line.
Why some inequalities are graphed on a number line?The type of diagram that we need to use depends on the number of variables that we have.
A single variable ----> number linetwo variahbles ----> a coordinate plane.3 variables ---> a volume.That is the main reason, for example:
x > 2
Is graphed on a number line.
y > 3x + 4
is graphed on a coordinate plane.
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In a survey of 2000 U.S adults, 70% said that they would support a national policy requiring rooftop solar panels to be installed on all new homes. The margin of error is plus or minus 2.2%. Give an interval that is likely to contain the exact percent of all U.S adults who would support this policy
Answers
The interval that is likely to contain the exact percent of all US adults who would support the policy is 0.7 ± 0.022.
Confidence interval calculationSince the sample size is large (n = 2000) and the proportion of respondents who support the policy is 0.7, we can use the normal distribution to approximate the sampling distribution of the sample proportion.
The margin of error is ±2.2%, which means that we need to construct a 95% confidence interval. The critical value for a 95% confidence interval with a two-tailed test is approximately 1.96.
The formula for a confidence interval for a population proportion is:
sample proportion ± z* (standard error)
sqrt((sample proportion * (1 - sample proportion)) / n)
Substituting the values:
0.7 ± 1.96 * sqrt((0.7 * 0.3) / 2000)0.7 ± 0.022Therefore, the 95% confidence interval for the percentage of all U.S adults who would support a national policy requiring rooftop solar panels to be installed on all new homes is 0.678 - 0.722.
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find the polynomial M if 2x^2 - 1/3ax + by - M = 0
Answers
Polynomial M is 2(x - [tex](\frac{1}{12}a)^{2}[/tex] - (1/72)[tex]a^{2}[/tex] + by
To find the polynomial M, we need to rearrange the equation given to us. We can start by adding M to both sides of the equation to isolate the constant term. This gives us:
2[tex]x^{2}[/tex] - (1/3)ax + by = M
Now, we have the polynomial M in terms of x, a, b, and y. However, this is not in its simplest form yet. We can simplify this further by factoring out the coefficient of x. This gives us:
2([tex]x^{2}[/tex] - (1/6)ax) + by = M
Now, we can complete the square inside the brackets to get a perfect square trinomial. This means taking half of the coefficient of x, squaring it, and adding it and subtracting it inside the brackets. This gives us:
2((x - [tex](\frac{1}{12}a)^{2}[/tex] - (1/144)[tex]a^{2}[/tex]) + by = M
Simplifying this further, we get:
2(x - [tex](\frac{1}{12}a)^{2}[/tex] - (1/72[tex]a^{2}[/tex] + by = M
Therefore, the polynomial M is given by:
M = 2(x - [tex](\frac{1}{12}a)^{2}[/tex] - (1/72)[tex]a^{2}[/tex] + by
This is the final answer for the polynomial M.
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Find the slope of the line shown in the graph below.
Answers
Answer:
Step-by-step explanation:
Points on line= (-4,5) and (1,2)
use slope formula: M= y2-y1 divided by X2-X1
Filling into the formula: M=2-5 divided by 1+4
M (slope) = -3/5
find the measure of each numbered angle:
(Also, can you explain how you got one of the answers just so i know)
Answers
Answer:
A. 115
B. 65
C. 115
D. 65
E. 115
F. 665
G. 115
Step-by-step explanation:
a straight line is a 180 degree angle. If one of 2 angles is 65 degrees the other angle will be 115 because 180-65= 115
since both lines on the graph are parallel the angles will be coresponding.