Question 8(Multiple Choice Worth 2 points)
(Creating Graphical Representations MC)
The number of milligrams of Vitamin C from 100 different gummy vitamins sold in the world was collected.
Which graphical representation would be most appropriate for the data, and why?
Box plot, because the median can easily be determined from the large set of data
Stem-and-leaf plot, because you can see the shape of the data
Histogram, because it shows each individual data point
Bar chart, because the data is categorical
Answers
Histogram would be the most appropriate graphical representation for the collected data, because it shows each individual data point.
How to plot a histogram?A histogram is a graphical representation of a distribution of continuous data that is used to visualize the underlying frequency distribution of a set of data. Here are the general steps to plot a histogram:
1. Choose the appropriate number of bins: The first step in creating a histogram is to choose the number of bins or intervals that the data will be divided into. This decision is based on the number of data points and the range of the data.
2. Determine the range of the data: Determine the range of the data, which is the difference between the largest and smallest values in the data set.
3. Calculate the width of each bin: Divide the range of the data by the number of bins to determine the width of each bin.
4. Plot the horizontal axis: The horizontal axis of the histogram represents the range of the data and is divided into the chosen number of bins.
5. Plot the vertical axis: The vertical axis of the histogram represents the frequency or density of the data.
6. Count the number of observations: Count the number of observations that fall into each bin.
7. Plot the bars: Plot the bars of the histogram such that the height of each bar corresponds to the number of observations in each bin.
8. Label the axes and title: Finally, label the horizontal and vertical axes appropriately and give the histogram an appropriate title.
Histogram would be the most appropriate graphical representation for the collected data of milligrams of Vitamin C from 100 different gummy vitamins sold in the world.
A histogram is a graph that displays the distribution of a continuous data set using bars. It is useful for showing the frequency distribution of a large data set and helps to identify patterns or outliers in the data.
In this case, the milligrams of Vitamin C is a continuous variable, and the histogram would display the frequency of different milligram ranges. It would show the concentration range of the vitamin C in the gummy vitamins sold worldwide and provide an overall picture of the distribution of the data.
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Related Questions
Find 4½ x 2½ write the product as a mixed number
Answers
Answer: 11 1/4
Step-by-step explanation:
4 1/2 * 2 1/2
= 9/2 * 5/2
= 45 / 4
= 11 1/4
23 +42
0-24
О-3/16
O3/16
Answers
Step-by-step explanation:
23+42=65
0-24=-24
0-3/16=-3/16= -1875
03/16=0.1875
How is volume calculated for a triangular prism?
Multiply the area of triangle base by the prism’s total area.
Multiply the area of the triangular base by the prism’s height.
Multiply the area of the triangular base by the triangle’s height.
Multiply the area of the rectangular face by the height of the prism.
Answers
Answer:
B
Step-by-step explanation:
The volume of any prism whose height is perpendicular to the base is
V = B * h
The base can be anything, even a 17 sided figure. As long as the base has an area that can be found, and the height is perpendicular to it, the volume can be calculated.
Answer:
How is volume calculated for a triangular prism?
Multiply the area of the triangular base by the prism’s height.
What is the midpoint of (1,5) and (7,11)
Answers
Answer:
(4,8)
Step-by-step explanation:
First, Let us see the midpoint formula:
m(x,x /2, y,y/2) (That probably looks really confusing online)
Let us label our cords
A: (1x,5y)
B: (7x,11y)
Now, Add the x's together
7x + 1 = 8
8÷2 = 4
Now, Add the y together
11 + 5 = 16
16÷2 = 8
(4,8)
Find the exact values of the six trigonometric functions functions of the angles 0 shown in the figure. Sin, cos, tan, csc, sec and cot (Use the pythagorean theorem to find the third side of the triangle)
Answers
Answer:
\(undefined\)Explanation:
Let x represent the length of the third side of the given triangle.
We can go ahead and determine the value of x using the Pythagorean theorem as seen below;
\(\begin{gathered} 41^2=x^2+40^2 \\ 1681=x^2+1600 \\ x^2=1681-1600 \\ x^2=81 \\ x=\sqrt[]{81} \\ x=9 \end{gathered}\)So the length of the third side of the triangle is 9
We can now determine the value of sine theta as seen below;
\(\begin{gathered} \sin \theta=\frac{opposite\text{ side to angle }\theta\text{ }}{\text{hypotenuse}}=\frac{40}{41} \\ \therefore\sin \theta=\frac{40}{41} \end{gathered}\)We can see that sine theta is 40/41
Let's determine the value of cosine theta as seen below;
\(\begin{gathered} \cos \theta=\frac{\text{adjacent side to angle }\theta}{\text{hypotenuse}}=\frac{9}{41} \\ \therefore\cos \theta=\frac{9}{41} \end{gathered}\)So cosine theta is 9/41
Let's determine the value of tangent theta as seen below;
\(\begin{gathered} \tan \theta=\frac{opposite\text{ side to angle }\theta}{\text{adjacent side to angle }\theta}=\frac{40}{9} \\ \tan \theta=\frac{40}{9} \end{gathered}\)So tangent theta is 40/9
Let's now determine the value of cosecant theta as seen below;
\(\begin{gathered} \csc \theta=\frac{1}{\sin\theta}=\frac{1}{\frac{40}{41}}=1\div\frac{40}{41}=1\times\frac{41}{40}=\frac{41}{40} \\ \therefore\csc \theta=\frac{41}{40} \end{gathered}\)So the value of cosecant theta is 41/40
Let's determine the value of secant theta as seen below;
\(\begin{gathered} \sec \theta=\frac{1}{\cos\theta}=\frac{1}{\frac{9}{41}}=1\div\frac{9}{41}=1\times\frac{41}{9}=\frac{41}{9} \\ \therefore\sec \theta=\frac{41}{9} \end{gathered}\)So the value of secant theta is 41/9
Let's determine the value of cotangent theta as seen below;
\(\begin{gathered} \cot x=\frac{1}{\tan x}=\frac{1}{\frac{40}{9}}=1\div\frac{40}{9}=1\times\frac{9}{40}=\frac{9}{40} \\ \cot x=\frac{9}{40} \end{gathered}\)So the value of cotangent theta is 9/40
Help me please it's for my assignment
PLEASE and thanks ill give yall 30 points
Answers
Answer:
7. -3
8. 4.4
9. 11
Please answer this question! It’s almost due!
(Answer Number 8)
Answers
Answer:
its incorrect.
Step-by-step explanation:
A 50-gallon barrel is filled completely with pure water. Salt water with a concentration of 0.3 pounds/gallon is then pumped into the barrel, and the resulting mixture overflows at the same rate. The amount of salt (in pounds) in the barrel at time t (in minutes) is given by Q(t) = 15(1 - e^-kt) where k > 0. (a) Find k if there are 5.5 pounds of salt in the barrel alter 10 minutes. Round your answer to 4 decimal places.(b) What happens to the amount of salt in the barrel as t infinity?
Answers
a) To find the value of k, we use the given information that there are 5.5 pounds of salt in the barrel after 10 minutes.
By substituting these values into the equation Q(t) = 15(1 - e^(-kt)), we can solve for k. The rounded value of k is provided as the answer.
b) As t approaches infinity, the amount of salt in the barrel will reach a maximum value and stabilize. This is because the exponential function e^(-kt) approaches zero as t increases without bound. Therefore, the amount of salt in the barrel will approach a constant value over time.
a) We are given the equation Q(t) = 15(1 - e^(-kt)) to represent the amount of salt in the barrel at time t. By substituting t = 10 and Q(t) = 5.5 into the equation, we get 5.5 = 15(1 - e^(-10k)). Solving this equation for k will give us the desired value. The calculation for k will result in a decimal value, which should be rounded to four decimal places.
b) As t approaches infinity, the term e^(-kt) approaches zero. This means that the exponential function becomes negligible compared to the constant term 15. Therefore, the equation Q(t) ≈ 15 holds as t approaches infinity, indicating that the amount of salt in the barrel will stabilize at 15 pounds. In other words, the concentration of salt in the barrel will reach a constant value, and no further change will occur.
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What is the LCM and LCD of 60 and 13
Answers
Answer:
LCM=780
Step-by-step explanation:
The least common denominator, also called lowest common denominator (LCD), of 60 and 13 is 780. Here is a math problem example where you need to know the LCD of 60 and 13 to solve: 3/60 + 2/13 = 780
The students in Jeremiah's grade voted to select a guest speaker. 45 students voted for a famous athlete. If there are 90 students in Jeremiah's grade, what percentage of the students voted for the athlete?
Write your answer using a percent sign (%).
Answers
Answer:
50%
Step-by-step explanation:
45 is half of 90. A percent is out of 100. So when you split 100 in half, it equals 50. The answer is 50%. Glad I could help!
Answer:
50% of the students voted for the athlete.
Step-by-step explanation:
half of 90 = 45 which means 45 + 45 = 90
so 50% of the class voted for the athlete
The function & models the height h(t), in meters, of a football t seconds after it is kicked. What is the interpretation of h(2)=0.40 in this context? A) The football has a maximum height of 0.40 meter.
Answers
The interpretation of h(2) = 0.40 in the context of the given function is that, two seconds after the football is kicked, its height is 0.40 meters.
The interpretation of the equation h(2) = 0.40 in the given context is that the football reaches a height of 0.40 meters, approximately 2 seconds after it is kicked. This equation represents the relationship between time and height, with h(t) denoting the height of the football at time t.
Since the input value is 2, it implies that 2 seconds have passed since the football was kicked. The output value, 0.40, represents the height of the football at that specific time. This interpretation assumes that the height is measured from the ground or the initial position of the football.
It is important to note that the equation does not provide information about the maximum height the football reaches. To determine the maximum height, you would need additional information, such as the form of the function or other data points. The given equation simply gives the height of the football at a specific time, in this case, 2 seconds after it was kicked.
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The function h(t) models the height of a football 't' seconds after it is kicked. The interpretation of h(2)=0.40 is that the height of the football is 0.40 meters at exactly 2 seconds after it is kicked.
Explanation:In the given function, h(t) represents the height of the football at any time 't' after it is kicked. The given value h(2)=0.40 depicts that the height of the football is 0.40 meters at 2 seconds after the kick. So, at exactly two seconds into its trajectory, the football reaches a height of 0.40 meters.
This does not imply that the ball has reached its maximum height. The maximum height of the ball can be different and would be dependent on various factors such as the initial velocity of the kick, the angle of projection, and the force of gravity.
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Help with this question
Answers
<1 and <2 are vertical angles.
<3 and <4 are vertical angles.
<1=<3
Answers
Answer:
gdggsedfgnxshkvfvjk
Step-by-step explanation:
347534578065656766665
Suppose I want to show that 6x2 + 3x + 4 is O(22). Which of the following are suitable choices for c and k in the definition of big-O? Select one or more: a. c = 100, k = 1 b. c = 13, k = 1 0 CC = 1, k = 87 d. c = 10, k = 2 e. c = 7, k = 87 f. c = 7, k = 1
Answers
In order to show that 6x2 + 3x + 4 is O(22), we need to find suitable values for c and k in the definition of big-O. Recall that a function f(x) is O(g(x)) if there exist positive constants c and k such that |f(x)| ≤ c|g(x)| for all x ≥ k.
Looking at the options given, we can see that the value of c must be greater than or equal to 1, since we are looking for an upper bound for the function.
Option a, where c = 100 and k = 1, is not a suitable choice because it is too large of a value for c. Similarly, option e, where c = 7 and k = 87, is not a suitable choice because it is too large of a value for k.
Option b, where c = 13 and k = 1, is a possible choice. To show this, we need to prove that there exist constants c = 13 and k = 1 such that:
\(|6x2 + 3x + 4| ≤ 13|22| for all x ≥ 1.\)
Note that |22| = 22 and |6x2 + 3x + 4| ≤ 6x2 + 3x + 4.
Thus, we need to show that:
6x2 + 3x + 4 ≤ 13(22) for all x ≥ 1.
Simplifying the inequality, we get:
6x2 + 3x + 4 ≤ 286
This inequality holds for all x ≥ 1, since the left-hand side is a quadratic function that is increasing for x ≥ 0. Therefore, option b is a suitable choice.
Option c, where c = 1 and k = 87, is not a suitable choice because it is too small of a value for c.
Option d, where c = 10 and k = 2, is not a suitable choice because it is too small of a value for k.
Option f, where c = 7 and k = 1, is also a possible choice. To show this, we need to prove that there exist constants c = 7 and k = 1 such that:
\(|6x2 + 3x + 4| ≤ 7|22| for all x ≥ 1.\)
Note that |22| = 22 and |6x2 + 3x + 4| ≤ 6x2 + 3x + 4.
Thus, we need to show that:
6x2 + 3x + 4 ≤ 154 for all x ≥ 1.
This inequality holds for all x ≥ 1, since the left-hand side is a quadratic function that is increasing for x ≥ 0. Therefore, option f is also a suitable choice.
In summary, options b and f are both suitable choices for c and k in the definition of big-O to show that 6x2 + 3x + 4 is O(22).
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A survey of 5000 people includes each participant’s age, city of residence, and the preferred political party. Determine an appropriate data display to compare the conditional relative frequencies of political party based on age.
Multiple choice question.
cross out
A)
two-way relative frequency table
cross out
B)
scatter plot
cross out
C)
histogram
cross out
D)
line graph
Answers
Answer:
A) two-way relative frequency table
Step-by-step explanation:
The appropriate data display to compare the conditional relative frequencies of political party based on age in this case would be a two-way relative frequency table.
Therefore, the correct option is:
A) two-way relative frequency table
Select the survey question that will produce categorical data. A. How long does it take to finish math homework each night? B. How much time do you spend on social media each day? C. What were the class scores on the last math quiz? D. What is your favorite snack food?
Answers
Answer:
3
Step-by-step explanation:
cdawwwwwwUse the formula for the area of a circle to solve for the radius of the circle if the area is 78.5cm^2
Answers
Answer:
\(r=\frac{\sqrt{314\pi}}{2\pi}\)
Step-by-step explanation:
\(A=\pi r^2 \\ \\ 78.5=\pi r^2 \\ \\ r^2=\frac{78.5}{\pi} \\ \\ r=\frac{\sqrt{314\pi}}{2\pi}\)
Conduct a hypothesis testing to the claim about a population proportion. 1) A supplier of digital memory cards claims that no more than 1% of the cards are defective. In a random sample of 600 memory cards, it is found that 2% are defective, but the supplier claims that this is only a sample fluctuation. At the 0.01 level of significance, test the supplier's claim that no more than 1% are defective.
Answers
The supplier's claim that no more than 1% of the cards are defective is valid.
Hypothesis Testing
Hypothesis testing is a statistical technique that helps in making a decision about the population parameter. Here, we need to conduct a hypothesis testing to the claim about a population proportion. The hypothesis testing is given below:
Null Hypothesis H0: p ≤ 0.01 (Supplier's claim)
Alternate Hypothesis Ha: p > 0.01 (Supplier's claim is not correct)
Where, p is the population proportion. Significance level (b) = 0.01, this means b = 0.01,
The test statistics formula is given by:
z = (p1 - p) / √(p(1 - p) / n)
Here, p1 is the sample proportion, p is the hypothesized population proportion, n is the sample size.
Substituting the given values, we get
z = (0.02 - 0.01) / √(0.01(0.99) / 600 )= 2.04 (approx.)
The critical value for the significance level of 0.01 with right-tailed z-test is given by:
zb= 2.33
Since the calculated value of z (2.04) is less than the critical value of zb (2.33), we fail to reject the null hypothesis. Hence, there is not enough evidence to claim that the supplier's claim is not correct.
Therefore, the supplier's claim that no more than 1% of the cards are defective is valid.
Hence, we can conclude that the null hypothesis is accepted.
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1
maining:
out of
question
Is it a Function?
Instructions: Determine whether the following relationship is a function.
You're headed to the bank with two friends to exchange your American dollars for the South
African currency rand, for an upcoming trip to South Africa. You and one friend both plan to
exchange $100. If you go first and then your friend goes right after you, think about what you
would expect about the amount of rand you both get back. Does the relationship between dollars
turned in and rand received represent a function?
Is it a function? No
Check
Answers
The relationship between dollars delivered and rand received represents a function.
What is a function?Corresponds to a mathematical relationship between two variables, x and y, where the set of x values is associated with a y value. Being expressed by the formula:
y = f(x)Therefore, in the exchange rate question, x is the independent variable, that is, the value of $100, and y will correspond to the dependent variable, which is the value of rand that will be received in relation to the dollar.
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What is the midpoint of the set of points (6,-3) (8,5)
Answers
Answer:
(7,1)
Step-by-step explanation:
..............
16. (1 point) The inflation gap π
3
−π
1
is 0. 3 A> B< C= D incomparable with 17. (1 point) Does this policy create "divine coincidence"? A Yes B No
Answers
The answer to the question above is C which is equal to (=) is the symbol that represents the answer to the inflation gap π3−π1.
The correct option is-C
It is important to know that Inflation gap refers to the difference between actual inflation and target inflation. Inflation gaps are also associated with inflation targeting. Inflation targeting is a monetary policy where a central bank tries to keep inflation within a particular range by adjusting interest rates. If inflation is too high, the central bank will increase interest rates to cool off the economy and prevent prices from rising too quickly.
Inflation gaps are also associated with inflation targeting. Inflation targeting is a monetary policy where a central bank tries to keep inflation within a particular range by adjusting interest rates. If inflation is too high, the central bank will increase interest rates to cool off the economy and prevent prices from rising too quickly. If inflation is too low, the central bank will lower interest rates to encourage borrowing and spending, which will stimulate the economy and boost prices. According to the question, the inflation gap π3−π1 is 0.
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Insulators are materials that stop the flow of electricity.Which of these is an example of an insulator.
A) nail
B) staple
C) crayon
D) paper clip
Pls give a explanation
Answers
Answer:
C
Step-by-step explanation:
because nobody makes wires out of crayons but crayons r cheap and they would be used as wires but they arent probably cuz they dont conduct electricity
Lines/and n intersect, as shown below.
45
The measure of angle X is 135
The measure of angle Y is
Answers
Answer:
.................. ........
Spongebob Squarepants is a surprisingly fast swimmer. Spongbob can swim at a velocity of 8.3 m/s. How much time would it take Spongebob to swim 1600 meters (about one mile)
Answers
Answer:
The time needed for Spongebob to swim that distance = 192.77 seconds
Step-by-step explanation:
From the laws of motion, we have that the time it takes a person (in this case, Spongebob) to move from one location to another, or through a distance, equals the distance covered divided by the speed.
i.e time = distance / speed
Velocity of Spongebob's swim = 8.3 m/s
Distance swam = 1600 metres
Time taken = 1600/8.3 = 192.77 seconds
Answer:
192.7 (192.77 to be exact)
Step-by-step explanation:
1600 divided by 8.3 would equal 192.77 (simplified down to 192.7)
Boris went for a drive in his new car. He drove at a speed of 62 miles per hour for 396.8 miles. For how many hours did he drive?
Answers
Answer:
he is drive 6.4 hours ......
How to solve it?
I suddenly forgot how to do simple equations
10p = 2
Answers
If 10p equals 2, then p would equal 0.2
Answer:
Step-by-step explanation:
Start by isolating the variable (in this case, "p") on one side of the equation. To do this, divide both sides of the equation by 10:
10p/10 = 2/10
Simplify both sides of the equation:
p = 0.2
So the solution is p = 0.2.
The attendance over a weekly period of time at a movie theater is normally distributed with a mean of 10,000 and a standard deviation of 1000 persons. Find the percent of attendance figures that differs from the mean by 1500 persons or more.
Answers
The percent of attendance figures that differs from the mean by 1500 persons or more is 6.68%.
From the question above, Mean μ = 10,000
Standard Deviation σ = 1,000
The formula for z-score is :
z = (x-μ) / σ
Where, x = observation
z = z-score
Mean μ = 10,000
Standard Deviation σ = 1,000
From the above formula, let's calculate z-score for x = 11,500
z = (x-μ) / σ
z = (11,500 - 10,000) / 1000
z = 1.5
Now, find the probability of attendance figures that differs from the mean by 1500 persons or more.
P(z ≥ 1.5) = 0.0668
To find the percentage, we need to multiply the above value by 100.
P(z ≥ 1.5) × 100 = 0.0668 × 100 = 6.68%
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4. (2 pts) A roll of 32 bills contains only $5 bills and $10 bills. If the value of the roll is $220,then how many of each bill are in the roll?
Answers
Given:
Total number of bills is, N = 32.
Total cost of the bill is, C = $220.
The first type of bill contans $5 bills and second type of bill contains $10 bills in the roll.
Explanation:
Consider the numer of $5 bills as x and $10 bills as y.
Then, the equation for total number of bill can be written as,
\(\begin{gathered} x+y=N \\ x+y=32 \\ x=32-y\text{. . . . . . . (1)} \end{gathered}\)Similarly the total cost of the bill can be written as,
\(undefined\)Dan's car depreciates at a rate of 5% per year. By what percentage has Dan's car depreciated after 3 years?
Answers
Answer:
44%
Step-by-step explanation:
a fair dice is rolled. work out the probability of getting a number more than 2. give your answer in its simplest form
Answers
Answer:
67% (rounded)
Step-by-step explanation:
Since there is 1-6,
There is 3,4,5,6 which is 4/6 chance being above 2.
2/3 = 66.6%
Answer:1/36
Step-by-step explanation: