Answers
Answer:
16.(a) 24
16.(b) See attachment.
Step-by-step explanation:
Cumulative frequency means ‘running total’. A cumulative frequency diagram plots this running total so you can estimate the median and the quartiles easily.
Part (a)According to the given cumulative frequency graph, the number of necklaces that have a mass 21 g or less is 16.
Therefore, an estimate of the number of necklaces with a mass of 21 g or greater is:
[tex]\implies 40-16=24[/tex]
Part (b)To draw a box plot to represent the data, estimate the median and quartiles from the graph.
Calculate the position of the median and quartiles, then go to the position on the vertical scale of the graph and read off the value from the horizontal axis. (See attached annotated graph).
[tex]\sf Median \; position=\dfrac{40}{2}=20[/tex]
So the median = 22
[tex]\sf Q_1 \; position = \dfrac{1}{4} \times 40=10[/tex]
So Q₁ = 18
[tex]\sf Q_3 \; position = \dfrac{3}{4} \times 40=30[/tex]
So Q₃ = 24
Draw the box plot with the calculated median and quartiles, and the given lowest and highest values. (See second attachment).
Draw a box from Q₁ to Q₃ (18 to 24).Add the median as a the vertical line through the box at 22.Draw whiskers from each quartile to the minimum value 3 and maximum value 28.
Related Questions
Use the zero-product property to solve the equation.
(x + 3)^2 = 0
Answers
this is because -3+3=0 and 0^2= 0
14. On the test, Zeke answered 85% of the
questions correctly. If there were 60 problems
on the test, how many did Zeke answer
correctly?
Answers
51/60 = 85%
51/60 = 85%
Helppppp, I don’t know what to do, I just really need the answer
Answers
The completed statement on the exponential model that fits the data in the question is presented as follows;
The exponential model indicates that the plastic production has a 7.88% growth per year. The model predicts that the production 15 years after 1960 was closest to 30 million metric tons, because the correlation coefficient indicates a strong correlation between the model and the data, this prediction is correct.
What is a correlation coefficient?The correlation coefficient is an indication of the level at which the variables are interdependent.
The table of values in the question can be entered into a spreadsheet application as follows;
In the spreadsheet application, enter Year since 1960 values in a column, and the Plastic Production in an adjacent columnSelect the all the data entered into the spreadsheet document such as MS Excel, then select the Insert tabIn the charts section select scatter plot to create a scatter plot of the dataIn the Design tab, that appears when the chart is selected, select the Add Chart Element button access the Trendline functionSelect the Exponential trendline from the menu for trendlinesThe exponential trendline is then created by the spreadsheet applicationThe equation for the trendline obtained from MS Excel is presented as follows; f(x) = 9.2179·e^(0.0788·x)
The growth rate from the above exponential function is 7·88% per year
The production 15 years after 1960 is therefore;
f(15) = 9.2179·e^(0.0788 × 15) ≈30.06
The number of plastic produced 15 years after 1960 is about 30 million metric tons
The correlation coefficient obtained from MS Excel is R² = 0,9157, which indicates a strong correlation between the data and the model
The prediction is correct based on the strong correlation between the year and the number of plastic produced.
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Answers
a. [tex]123.1(1.069)^3 \approx 150.4[/tex]
b. [tex]123.1(1.069)^{20} \approx 467.5[/tex]
Which of the following are essential elements of hypothesis testing?
-It uses probability theory to determine if a hypothesis is a reasonable statement.
-It makes use of sample data.
Answers
The following are crucial factors in hypothesis testing:
It employs probability theory to evaluate if a hypothesis is a valid claim.It employs sample data.Explain the term hypothesis testing?In statistics, the process of hypothesis testing involves putting an analyst's presumption about a population parameter to the test.
The type of data being used and purpose of the study will determine the methodology the analyst uses. A basic hypothesis can anticipate a causal relationship between variables, i.e., that one has an impact on the other. This is known as hypothesis testing, and it uses sample data to determine the plausibility of a hypothesis.It is a technique for analysis that evaluates presumptions and establishes the likelihood of something based on a predetermined level of accuracy. Testing hypotheses offers a technique to determine whether the outcomes of an investigation are reliable.Thus, before conducting the hypothesis testing, a null hypothesis as well as an alternative hypothesis are established.
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What is the formula for simple interest
Answers
Answer: The formula for simple interest is P*R*T/100
Step-by-step explanation: Where P stands for Principal and R for Rate T for Time
Question
Solve for m.
m+1/3<−2 1/4
m>−2 7/12
m<−2 7/12
m<−1 11/12
m>−1 11/12
Answers
The expression m < - 2 7/12 solved for m is m < - 2 7/ 12. Option B
What are inequalities?Inequalities are described as a relation which making an unequal comparison between two numbers or expressions.
It is mostly used to compare two numbers on the number line on the basis of their size.
Given the expression;
m+1/3<−2 1/4
Covert to improper fraction
m + 1/ 3 < -9/4
Now, collect like terms
m < - 9/ 4 - 1/3
Find the lowest common multiple
m < -27 - 4 /12
m < -31/ 12
convert to mixed fraction
m < - 2 7/ 12
Hence, the value is m < - 2 7/ 12
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a photo has a width to length ratio of 2:3. if the width of the photo is 4.8 cm, the length of the photo is
Answers
The length of the photo having a width to length ratio of 2:3 is 6.9 cm.
What is length?Length is the distance between two points.
To calculate the length of the photo, use the formula below.
Formula:
L = W/R............ Equation 1Where:
L = Length of the photoR = Width to length ratio of the photoW = Width of the photo.From the question,
Given:
W = 4.6 mR = 2:3 = 2/3Substitute these values into equation 1
L = 4.6/(2/3)L = 4.6×3/2L = 6.9 cmHence, the length of the photo is 6.9 cm.
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Answers
Answer:
A
Step-by-step explanation:
Eliminate B and C because they don't pass through (0,1).
Eliminate D because it doesn't decrease quickly enough.
TRUE/FALSE if a thumb is a finger, then three gloves and three shoes normally hold thirty-five fingers and toes.
Answers
Answer: False
(5 x 3) + (5 x 3) = 30
What is the slope that passes through (1,2) and (2,6)
Answers
Answer:
4
Step-by-step explanation:
use slope formula y2-y1/x2-x1
6-2/2-1
4/1
4 is the slope
Hopes this helps please mark brainliest
ABCD is a rectangle, where AB= x cm and
BC is 1.5 cm less than AB.
If the area of the rectangle is 52 cm³, form
an equation in x and solve it to find the
dimensions of the rectangle.
Answers
Answer:
AB = 8cm ; BC = 6.5 cm
Step-by-step explanation:
BC = x- 1.5
x * (x-1.5) = 52
x^2 - 1.5x - 52 = 0
Discriminant = 2.25 -4(-52) = 2.25 + 208 = 210.25
We are searching only positive value
(1.5 + 14.5)/2 = 16 / 2 = 8 cm
AB = 8 cm
BC = 8 - 1.5 = 6.5 cm
What is the y-intercept, b, of the additive relationship represented by this table?
Enter your answer as an integer in the box.
b = ?
Answers
Answer:
3
Step-by-step explanation:
Julian sells 4 pieces of artwork for $72, and each piece is sold at the same rate.
How much does one piece of Julian's artwork cost?
Enter your answer as a number, like this: 42
Answers
Answer: 18
Step-by-step explanation: 72 divided by 4= 18
$18
The answer is 18
if 2x+5y=180 and 3x+3y=180
what are the x and y values?
Answers
Answer:
x=40,y=20
Step-by-step explanation:
a{2x+5y=180
b{3x+3y=180
b-a
x-2y=0
x=2y
substitute:
2×2y+5y=180
9y=180
y=20
substitute:
x=2y
x=2×20
=40
What is 3x+6 I don’t know what this is
Answers
Answer:
it is a function.
Step-by-step explanation:
The answer is just 3x+6
Answer:
3x+6 can be be the result of 3(x+2) and then you distribute to get 3x+6
If you are asking how to solve you need an equal sign in the equation for example: 3x+6=27 you would have to solve to figure out wht x is. x is any unknown number we use x or any letter in the alphabet to fill in. You have to olve for the variable now.
A General Rule for Solving Equations
Simplify each side of the equation by removing parentheses and combining like terms.
Use addition or subtraction to isolate the variable term on one side of the equation.
Use multiplication or division to solve for the variable.
Step-by-step explanation:
Suppose a designer has a palette of 15 colors to work with, and wants to design a flag with 5 vertical stripes, all of different colors.
How many possible flags can be created?
Answers
The number of flags that could possibly be created, given the palette of colors to work with, and the number of stripes, is 360, 360 flags.
How to find the number of flags?The designer has the choice to pick from 15 colors to work with. They will then pick another color, and then another, until they pick five colors to make stripes.
When they pick a single color, the number of choices drops to 14 colors. When they pick 5 colors, they will be left with 11 colors.
The number of possible flags is therefore:
= 15 x 14 x 13 x 12 x 11
= 360, 360 possible flags
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Which system of equation is it
Answers
Answer:
the answer is none of the above
Step-by-step explanation:
Each week, Tasha saves 60% of the money she earns babysitting and spends the rest. This week she
earned $60.00
How much more money did she save than spend this week?
Answers
Out of a group of 360 students, exactly 18 are on the track team. What percent of the students are on the track team?
Answers
if we take 360 to be the 100%, what's 18 off of it in percentage?
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 360 & 100\\ 18& x \end{array} \implies \cfrac{360}{18}~~=~~\cfrac{100}{x}\implies 20=\cfrac{100}{x} \\\\\\ 20x=100\implies x=\cfrac{100}{20}\implies x=5[/tex]
A drawing ha a cale of 1:30. An a drawing, a kitchen i a rectangle meauring 12cm by 27cm. A bedroom ha an actual area of 300000cm
which ha the bigger actual area, the kitchen or the bedroom?
you mut how your working
Answers
Actual area of bedroom is bigger than the kitchen as per the given measurements and scale.
As per the given question,
Given drawing scale is:
1 : 30
Shape of the kitchen is rectangle with measurements = 12cm by 27cm
Using scale :
Length = 12cm
Actual length = 12 × 30
= 360cm
Width = 27cm
Actual width = 27 × 30
= 810 cm
Actual area of kitchen = 360 × 810
= 291,600 cm²
Actual area of bedroom = 300,000cm²
300,000 > 291,600
Actual area of bedroom > Actual area of kitchen
Therefore, actual area of bedroom is bigger than the actual area pf kitchen.
The complete question is:
A drawing has a scale of 1:30 On the drawing, a kitchen is a rectangle measuring 12 cm by 27 cm A bedroom has an actual area of 300 000 cm² Which has the bigger actual area, the kitchen or the bedroom? You must show your working.
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Find x and y values that make both y=−2/3x+3 and y=2x−5 true.
What is the ordered pair for your solution?
Answers
The ordered pair is (3, 1) which is the intersecting point of these two equations.
What is the graphical solution of a system of equations?Graphical solutions of a system of equations are a way of finding the intersection points of all the equations given.
A system with two or more than two equations has a solution only when they have a common intersection point.
Given, are two equations y = -(2/3)x + 3 and y = 2x - 5.
Now the solution to this system is the common intersecting point of these equations.
With the help of graphing we conclude that the intersecting point is (3, 1) and so is the solution.
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the gram-schmidt process produces from a linearly independent set {x1, x2, . . . , xp} an orthogonal set {v1, v2, . . . , vp} with the property that span{v1, . . . , vk}
Answers
The statement is true.
An orthogonal set with the same dimension as the initial collection of vectors is created by the Gram-Schmidt process.
Given that,
From a linearly independent collection of {x₁, x₂,..., xp}, the gram-Schmidt process creates an orthogonal set of {v₁, v₂,..., vp} with the feature that for each k, the vectors v₁...vk span the same subspace as that spanned by x₁...xk.
Whether the claim is true or false must be determined.
The statement is true.
An orthogonal set with the same dimension as the initial collection of vectors is created by the Gram-Schmidt process. An orthogonal set is further linearly independent. The orthogonal set produced by the Gram-Schmidt process and the original set will cover the same subspace if their dimensions are the same.
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Express the formula d=rt in terms of the time,t. Use your formula to find the time when the distance is 40 and the rate is 8.
Answers
The expression for d=rt in terms of the time is t = d/r; t = 5.
What is time? Time can be defined as a continuous and ongoing sequence of events that occur consecutively from the past to the present to the future. Time is used to measure, measure or compare the duration of events or the intervals between them, and even the sequence of events. Time is a useful concept that we use in our daily life. We have to watch when we cook, play, study, go to school, meet someone, etc. So knowing the right time is very important. Time is usually the answer to when an event happens or happened. The concept of time determines when a certain event occurs, has occurred or will occur. Time is a measurable quantity and is also infinite. The time is calculated in seconds, minutes, hours, days, months and years.Therefore,
In the equation d=rt
t = d/r
when distance is 40 and the rate is 8
t = d/r
Replace d with 40 and rate with 8
t = 40/8
t = 5
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what is a x b when a=7 and b=9
Answers
Answer:
89
Step-by-step explanation:
if u divide and multiply theory is equivalent to its nominal answer thus your answer will be 89
what algebraic expression represents a number increased by 5
Answers
Answer: x+5
Step-by-step explanation:
Because we don't have a number so we call it x. And to increase by 5 just need to +5. So x+5
what does it mean for two shapes to be proportional.
Answers
Answer:
It means that the quantities have the same relative size. In other words they have the same ratio.
Step-by-step explanation:
For example look at the attached files
I need help please im so confused
Answers
Step-by-step explanation:
the x-intercept is the point, where the curve intercepts the x-axis (that means y = 0).
the y-intercept is the point, where the curve intercepts the y-axis (that means x = 0).
y = 10 - 2x
when x = 0, that means y = 10 - 2×0 = 10.
when y = 0, that means 0 = 10 - 2x, 2x = 10, x = 5
x-intercept = (5, 0)
y-intercept = (0, 10)
4y + 9x = 18
x = 0, 4y = 18, y = 18/4 = 9/2 = 4.5
y = 0, 9x = 18, x = 18/9 = 2
x-intercept = (2, 0)
y-intercept = (0, 4.5)
6x - 2y = 44
3x - y = 22
x = 0, -y = 22, y = -22
y = 0, 3x = 22, x = 22/3 = 7 1/3
x-intercept = ( 7 1/3, 0)
y-intercept = (0, -22)
2x = 4 + 12y
x = 2 + 6y
x = 0, 6y = -2, y = -2/6 = -1/3
y = 0, x = 2 + 6×0 = 2
x-intercept = (2, 0)
y-intercept = (0, -1/3)
Select all correct answers. one solution to a quadratic equation is . what is true about any remaining solutions? there are at least two more real solutions. there are no other real solutions. there is exactly one complex solution. there are two or more complex solutions. there are no complex solutions. there is exactly one more real solution.
Answers
There is exactly one more real solution or there is exactly one more complex solution
Given,
One solution to a quadratic equation is x = -5/3
We have to find the correct statements from the given ones;
A polynomial of degree two is a quadratic equation.
This implies that a polynomial has two solutions.
We already have an answer to the query, which is a true root.
Then, the additional response that we lack can appear in the form of two responses.
It may be a real root or a complicated root, depending on the situation.
The following is the response to this query:
There is exactly one more real solution or there is exactly one more complex solution
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a spring has a spring constant of 283 n/m. how far is the spring compressed to the right if 129 n of force are used
Answers
The spring is compressed to 95.5 cm to the right if 129 N of force are used.
In this question, we have been given the spring constant k = 283 N/m
if 129 N of force are used then we need to find distance that the spring compressed to the right.
Let the spring stretch from the equilibrium position x.
An equation for the spring's potential energy is,
PE = 1/2 kx^2
129 = 1/2 * 283 * x^2
2 * 129 = 283 * x^2
258/283 = x^2
x^2 = 0.9117
x = 0.9548 m
x = 95.5 cm
Therefore, the spring is compressed to 95.5 cm to the right if 129 N of force are used.
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