The box plot shown represents the age of cars in a parking lot. Which statements are correct?
Select 3 correct answer(s)
The box plot suggests that about 75% of the cars are older than 5 years.
The mean age of a car is 8 years.
The box plot suggests that about 75% of the cars are newer than 11 years.
There are no outliers.
The box plot suggests that about 33.33% of the cars are between 5 and 11 years.
Answers
The correct statements from the box plot are given as follows:
The box plot suggests that about 75% of the cars are older than 5 years.The box plot suggests that about 75% of the cars are newer than 11 years.There are no outliers.What does a box-and-whisker plot shows?A box and whisker plots shows these five features from a data-set, listed as follows:
The minimum non-outlier value.The 25th percentile, which is the median of the bottom 50%.The median, which splits the entire data-set into two halfs, the bottom 50% and the upper 50%.The 75th percentile, which is the median of the upper 50%.The maximum non-outlier value.Hence the correct statements are given as follows:
The box plot suggests that about 75% of the cars are older than 5 years -> as Q1 = 5.The box plot suggests that about 75% of the cars are newer than 11 years -> as Q3 = 11.There are no outliers -> they would appear as a lonely mark outside the bot plot.The false statements are given as follows:
The mean age of a car is 8 years. -> Median, not mean.The box plot suggests that about 33.33% of the cars are between 5 and 11 years. -> 50% of the cars, it is the IQR.More can be learned about box plots at https://brainly.com/question/12343132
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Related Questions
A sleep study was given to 20 randomly selected people between the ages of 1 and 16. The graph shows the relationship between the age of the person and the number of hours they slept.
Which of the following describes the pattern of association between the variables, based on the graph?
There is a positive linear association.
There is a positive nonlinear association.
There is a negative linear association.
There is a negative nonlinear association.
Answers
1. The table below shows different make of cars owned by teachers in a certain school. Work out the angles and percentages then illustrate the information using a pie chart.
Make of cars Frequency
Toyota
Nissan
Datsun
Volvo
Peugeot 12
8
8
2
10
Answers
The angles and percentages have been calculated as shown below.
A pie chart for the information about the different make of cars is shown below.
How to determine the angles and percentage?For the total number of car makes, we have the following:
Total make of cars = 12 + 8 + 8 + 2 + 10
Total make of cars = 40.
Next, we would determine the angles and percentage as follows;
Toyota
12/40 × 360 = 108°
12/40 × 100 = 30%.
Nissan
8/40 × 360 = 72°
8/40 × 100 = 20%.
Datsun
8/40 × 360 = 72°
8/40 × 100 = 20%.
Volvo
2/40 × 360 = 18°
2/40 × 100 = 5%.
Peugeot
10/40 × 360 = 90°
10/40 × 100 = 25%.
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Greatest common factor of 32
Answers
You can evenly divide 32 by 1, 2, 4, 8, 16 and 32. So the largest common factor of 32 and _______ your number you didn’t mention would be the largest number that they both have in common.
Example, if your other number was 24, you can divide 24 by 1, 2, 3, 4, 6, 8, 12, 24.
The greatest common factor would be 8, the biggest number both have in common.
I hope this helps.
Find the total surface area of this cylinder. Give your answer to 1 decimal place. 18 cm 24 cm
Answers
The total surface area of the cylinder is 2260.8 cm².
How to find the total surface area of a cylinder?The height of the cylinder is 18 centimetres and the diameter of the cylinder is 24 centimetres.
Therefore, the total surface area of the cylinder can be calculated as follows:
total surface area = 2πr(r + h)
where
r = radiush = heightTherefore,
r = 24 / 2 = 12 cm
h = 18 cm
total surface area = 2 × 3.14 × 12(12 + 18)
total surface area = 75.36(30)
total surface area = 2260.8 cm²
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Help meeeeeeeewwwwwwerr
Answers
Which of the following coordinates represents a point that is collinear with the given points.
(4, -10) and (-2, 0)
Answers
The coordinates that represents a point that is collinear with the given points: (4, -10) and (-2, 0) is (0, 10/3). So the correct answer is option C.
We must check to see if a point is on the straight line that connects two other points in order to determine if they are collinear.
Using the point-slope form of a line we can find the equation of the straight line passing through the points (4,-10) and (-2,0):
(y - y1)/(x - x1) = (y2 - y1)/(x2 - x1)
where (x1, y1) = (4, -10) and (x2, y2) = (-2, 0).
Substituting the values, we get:
(y + 10)/(x - 4) = (0 + 10)/(-2 - 4)
Simplifying, we get:
(y + 10)/(x - 4) = -5/3
Multiplying both sides by (x - 4), we get:
y + 10 = (-5/3)(x - 4)
Simplifying, we get:
y = (-5/3)x + (10 + 20/3)
y = (-5/3)x + (50/3)
So, any point that satisfies this equation is collinear with the given points.
Now checking all the three points whether they satisfy the equation:
(a) (2, -6)
Substituting the values in the equation, we get:
-6 = (-5/3)(2) + (50/3)
-6 = -10/3 + 50/3
-6 = 40/3, which is not true.
Therefore, the point (2, -6) is not collinear with the given points.
(b) (3, -3)
Substituting the values in the equation, we get:
-3 = (-5/3)(3) + (50/3)
-3 = -15/3 + 50/3
-3 = 35/3, which is not true.
Therefore, the point (3, -3) is not collinear with the given points.
(c) (0, 10/3)
Substituting the values in the equation, we get:
10/3 = (-5/3)(0) + (50/3)
10/3 = 50/3, which is true.
Therefore, the point (0, 10/3) is collinear with the given points.
Hence, the answer is (c) (0, 10/3).
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Correct Question
Which of the following coordinates represents a point that is collinear with the given points.
(4, -10) and (-2, 0)
(a) (2, -6)
(b) (3, -3)
(c) (0, 10/3)
Can you help please i need to answer real quick please
Answers
Answer:
Step-by-step explanation:
D 48 cubic ft
A hair stylist is creating a price list for his services. As he prices services for hair coloring, he must take into account the cost of the products that he uses for the process along with the time he spends applying the product. He charges $25 per hour for his time and the process takes an hour and 15 minutes. The products he uses cost him $32. He also wants to add 20% to the total amount for profit. What is the total he should charge for the coloring service? Show your work and/of explain your answer.
Answers
First, we need to convert the time he spends applying the product to hours. 15 minutes is a quarter of an hour, so the total time is 1.25 hours.
The cost of his time is $25 per hour, so the cost of his time for the coloring service is:
$25/hour * 1.25 hours = $31.25
The cost of the products is $32.
Adding the cost of his time and the cost of the products, we get:
$31.25 + $32 = $63.25
To add 20% to the total amount for profit, we need to multiply $63.25 by 1.2:
$63.25 * 1.2 = $75.90
Therefore, the hair stylist should charge $75.90 for the coloring service.
A three dimensional figure is formed by a rectangular prism and an isosceles triangular prism as shown in the diagram below
Use the information given in the image to find the surface area of the composite figure
Answers
The surface area of the composite figure is 4364 sq. m.
What is a composite figure?A composite figure that consists of more than one shape. Thereby it is formed by joining two or more shapes.
In the given composite figure, we have;
i. area of one triangular surface = 1/2 x base x height
= 1/2 x 25x13
= 162.5
area of one of its triangular surfaces is 162.5 sq. m.
ii. area of rectangular surface 1 = length x width
= 27 x 18
= 486 sq. m.
iii. area of rectangular surface 2 = length x width
= 27 x 23
= 621 sq. m.
iv. area of rectangular surface 3 = length x width
= 25 x 23
= 575 sq. m.
v. area of its base = length x width
= 27 x 25
= 675 sq. m.
surface area of the composite figure = (2*162.5) + (2*486) + (2*621) + (2*575) + 675
= 4364
The surface area of the composite figure is 4364 sq. m.
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A number, y, is equal to twice the sum of a smaller number and 3. The larger number is also equal to 5 more than 3 time
the smaller number. Which equations represent the situation?
O 2x-y--6 and 3x-y--5
O 2x-y--3 and 3x-y--5
O 2x-y--6 and x-3y-5
O 2x-y--3 and x-3y-5
Mark this and return
Save and Exit
Next
Submit
Answers
Answer:
So the smaller number is x = 1 and the larger number is y = 8.
Step-by-step explanation:
substitute y = 3x + 5 into the first equation and solve for x.
y = 2(x + 3) 3x + 5 = 2(x + 3) Expand the parentheses 3x + 5 = 2x + 6 Subtract 2x from both sides x + 5 = 6 Subtract 5 from both sides x = 1
Now we can plug x = 1 into either equation to find y.
y = 2(x + 3) y = 2(1 + 3) y = 2(4) y = 8
Which of the following are solutions to the equation sinx cosx = -1/4? Check all
that apply.
A. 7pi/12 + npi
B. 7pi/12 + npi/2
C. 7pi/6 + npi
D. 11pi/12 + npi
Answers
Answer: A, D
Step-by-step explanation:
We have sinx cosx = -1/4. This means that either sinx = -1/2 and cosx = 1/2 or sinx = 1/2 and cosx = -1/2. In the first case, we get x = 7pi/6 + 2npi or x = 11pi/6 + 2npi. In the second case, we get x = 7pi/12 + 2npi or x = 17pi/12 + 2npi. Therefore, the solutions are x = 7pi/12 + npi and x = 11pi/12 + npi. So, options A and D are correct. Options B and C are not solutions to the given equation.
Find the lateral surface area of the cylinder. Round your answer to the nearest tenth
ft²
10 ft
6 ft
1990
Answers
The lateral surface area of the cylinder is 376.8 sq ft
Finding the lateral surface area of the cylinder.From the question, we have the following parameters that can be used in our computation:
Radius, r = 10 ft
Height, h = 6 ft
The lateral surface area of the cylinder is calculated as
Lateral area = 2 * 3.14 * rh
Substitute the known values in the above equation, so, we have the following representation
Lateral area = 2 * 3.14 * 6 * 10
Evaluate the products
So, we have
Lateral area = 376.8
Rounding the answer to the nearest tenth, we have
Lateral area = 376.8
Hence, the Lateral area is 376.8 sq ft
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which of the following functions represent the graph g(x) above
Answers
The function represented by the graph given is equivalent to -
g(x) = (x - 4)².
The function plotted represents a quadratic equation. A quadratic equation has a degree of 2. The given function is shifted to the left by 4 units. This means that the following transformation will take place on the x - coordinate of each and every point lying on the graph -
f(x, y) → f(x - 4, y)
So, we can write the function as -
g(x) = (x - 4)²
So, the function represented by the graph given is equivalent to -
g(x) = (x - 4)²
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help pleaseeeeeeeeee
Answers
Which of the
�
nn-values satisfy the following inequality?
3
�
−
7
<
26
3n−7<263, n, minus, 7, is less than, 26
Choose all answers that apply:
Choose all answers that apply:
(Choice A)
�
=
10
n=10n, equals, 10
A
�
=
10
n=10n, equals, 10
(Choice B)
�
=
11
n=11n, equals, 11
B
�
=
11
n=11n, equals, 11
(Choice C)
�
=
12
n=12n, equals, 12
C
�
=
12
n=12n, equals, 12
Answers
All values of n must be smaller than 11 in order to meet the inequality. The answer may be expressed as follows in interval notation: n (-∞, 10)
To solve the inequality 3n - 7 < 26, you can follow these steps:
Add 7 to both sides of the inequality to isolate the n variable on one side:
3n - 7 + 7 < 26 + 7
3n < 33
Divide both sides of the inequality by 3 to get n by itself:
3n/3 < 33/3
n < 11
Therefore, the values of n that satisfy the inequality are all values less than 11. In interval notation, you can write the solution as:
n ∈ (-∞, 10)
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please write the answer in minutes.
Thank you.
My life depends on you
Answers
Note that the estimated time it will take to cause hearing loss at 106 decibels is 0.0625 hours or 3 minutes, 75 seconds.
How did we arrive at this conclusion?The formula used is:
Exposure Time = 8/ 2^((dBA-85)/3)
Since the decibel (dBA) given is 106
Exposure Time = 8/ 2^((106-85)/3)
= 8/2^1
= 8/ 128
= 0.0625 hours or 3 minutes, 75 seconds.
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Which of the numbers is not equal to the other?
Answers
Comparing all the numbers, we can see that (d) 21/2500 is not equal to the other numbers, since it is a fraction and all the other numbers are decimals. Therefore, (d) is the answer.
To determine which of the numbers is not equal to the other, we can convert all the numbers to the same form and compare them.
a) 0.84% can be written as 0.0084 in decimal form.
b) (0.21)(0.04) equals 0.0084.
c) 8.4 x 10⁻² can be written as 0.084 in decimal form.
d) 21/2500 can be simplified by dividing both the numerator and denominator by 21 to give 1/119.
e) 21/2500 x 10⁻² can be simplified by dividing both the numerator and denominator by 21 and multiplying by 100 to give 0.084.
In conclusion, to determine which number is not equal to the other, we need to convert all the numbers to the same form and compare them. In this case, we converted all the numbers to decimal form except for (d), which is a fraction. By comparing the numbers, we found that (d) is not equal to the other numbers.
Therefore, (d) is the answer.
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need help pls quick.. algebra here is screenshot right answer only
Answers
The value that would help Charlie find out how long it takes his basketball to reach the highest point is "x at the vertex". The correct option is A.
When the basketball reaches the highest point, its vertical velocity is zero. The time taken to reach this point can be found using the equation:
t = -b / (2a)
where a is the acceleration due to gravity (-9.8 m/s²) and b is the initial vertical velocity of the basketball.
The vertex of the parabolic path that the basketball follows is the point where the basketball reaches its maximum height. This point occurs at the halfway point of the ball's total flight time. The horizontal distance the basketball travels during this time is called "Ox at the vertex".
Therefore, by finding the "x at the vertex", Charlie can calculate the total flight time of the basketball, and then use the equation above to find the time it takes to reach the highest point.
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Need help in Question no: 8.
With workings please.
Thank you.
Answers
The possible values for t for the points A and B with gradient 2 are t = -1 or t = 3/2.
How to evaluate for the possible values of tGiven the gradient 2 for the point A and B, we have that;
gradient = (y₂ - y₁)/(x₂ - x₁)
so;
2 = (2t² + 7 - t)/(7 - 2)
2 = (2t² + 7 - t)/5
10 = 2t² + 7 - t {cross multiplication}
2t² + 7 - t - 10 = 0
2t² - t - 3 = 0
2t² + 2t - 3t - 3 = 0 {we rewrite the middle term}
2t(t + 1) -3(t + 1) = 0
(2t - 3)(t + 1) = 0 {factorization}
2t - 3 = 0 or t + 1 = 0
t = 3/2 or t = -1
Therefore, the possible values for t for the points A and B with gradient 2 are t = -1 or t = 3/2.
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what is the base what is the length of the base in the Triangle below
Answers
Answer:
Step-by-step explanation:
4
Determine, to the nearest tenth of a meter, the radius of a sphere with a volume of 10000 cubic meters.
Answers
The radius of a sphere with a volume of 10000 cubic meters is 13.36 meters
We know that the formula for the volume of sphere is :
V = 4/3 × π × r³
where r is the radius of the sphere
Here, a volume of the sphere is 10000 cubic meters.
V = 10000 cubic meters
we need to find the radius 'r'
V = 4/3 × π × r³
10000 = 4/3 × π × r³
r³ = 10000 × 3/4 × 1/π
r³ = 30000/4π
r³ = 2387.32
taking cube root,
r = 13.36 meters
Therefore, the radius is 13.36 meters.
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Number 22. The local toy store sells a package of 7 different shaped erasers for 4.20 $ what is the unit cost of each eraser in the package
Answers
Answer:
$4.20 / 7 erasers = $0.60 per eraser
So each eraser in the package costs $0.60.
Boris needs $8058 for a future project. He can invest $6000 now at an annual rate of 7%, compounded quarterly. Assuming that no withdrawals are made, how long will it take for him to have enough money for his project?
Do not round any intermediate computations, and round your answer to the nearest hundredth.
Answers
It will take Boris approximately 4.02 years to have enough money for his project if he invests $6000 now at an annual rate of 7%, compounded quarterly.
The formula for compound interest is:
[tex]A = P(1 + \dfrac{r}{n})^{(nt)}[/tex]
where A is the future value of the investment, P is the principal amount invested, r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the number of years.
In this case, Boris has invested $6000 at an annual interest rate of 7%, compounded quarterly. Therefore, we have:
P = 6000
r = 0.07 (since 7% is the annual interest rate)
n = 4 (since the interest is compounded quarterly)
A = 8058
We can solve for t by rearranging the formula:
[tex]t =\dfrac{ ln(\dfrac{A}{P})} { n ln(1 + \dfrac{r}{n})}[/tex]
Substituting the values we have:
[tex]t = \dfrac{ln(\dfrac{8058}{6000}) }{ [4 ln(1 + \dfrac{0.07}{4})]}[/tex]
t ≈ 4.02 years
Therefore, it will take Boris approximately 4.02 years to have enough money for his project if he invests $6000 now at an annual rate of 7%, compounded quarterly.
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What’s the distance between 15,-17 and -20, -5
Answers
The distance will be in the decimal form is :41.34
Pythagoras Theorem Formula:Consider the triangle :
Where “a” is the perpendicular,
“b” is the base,
“c” is the hypotenuse.
According to the definition, the Pythagoras Theorem formula is given as:
[tex]Hypotenuse^2 = Perpendicular^2 + Base^2[/tex]
[tex]c^2 = a^2 + b^2[/tex]
We have the points are:
15,-17 and -20, -5
To find the distance between them.
The distance of x- axis is:
15 - (-20)
= 15 + 20
= 35
The distance of y- axis is:
|17 - 5| = |-22| = 22
We can now use the Pythagorean theorem (a²+b²=c²) with our imaginary triangle:
[tex]x^2+y^2=(distance)^2[/tex]
[tex]35^2+22^2=distance^2[/tex]
[tex]1709= distance^2\\Distance = \sqrt{1709}[/tex]
In decimal form the distance would be around 41.34.
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A child’s pool is in the shape of a rectangular prism with a height of 2 ft and a base that is 4 ft wide by 5 ft long. During the course of the summer, the child’s pool needed to be filled 3 times. How many cubic feet of water were needed to fill the pool during the summer? Responses 40 ft³ 40 ft³ 80 ft³ 80 ft³ 120 ft³ 120 ft³ 160 ft³ 160 ft³
Answers
The requried, 120 ft³ of water was needed to fill the pool during the summer.
The volume of the child's pool is given by multiplying its length, width, and height.
The volume of the pool = Length x Width x Height
= 5 ft x 4 ft x 2 ft
= 40 cubic feet
Since the pool was filled 3 times during the summer, the total amount of water needed is:
The total volume of water = Volume of pool x Number of times filled
= 40 ft³ x 3
= 120 ft³
Therefore, 120 ft³ of water was needed to fill the pool during the summer.
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Please help 100 points
Answers
The surface area of the triangular prism is 184 metres².
How to find the surface area of a triangular prism?The surface area of the triangular base prism can be found as follows:
surface area of the prism = (s₁ + s₂ + s₃)l + bh
where
b =base
h = height
l = height of the prism
s₁, s₂ and s₃ are side length of the prism.
Therefore,
b = 6 units
h = 4 units
s₁ = 5 units
s₂ = 5 units
s₃ = 6 units
l = 10 units
Hence,
surface area of the prism = (5 + 5 + 6)10 + 6(4)
surface area of the prism = 160 + 24
Therefore,
surface area of the prism = 184 metres²
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Find the sum of the first 9 terms of the arithmetic sequence 1, 3, 5,....
Answers
The sum of the first 9 terms of the arithmetic sequence is 81.
What is an arithmetic sequence?An arithmetic sequence is an ordered set of numbers that have a common difference between each consecutive term.
To calculate the sum of the first 9 terms of the arithmetic sequence, we use the formula below
Formula:
S₉ = n/2[2a+( n-1)d]........................... Equation 1Where:
S₉ = Sum of the first 9 termsa = First term of the sequencen = Number of termsd = Common differenceFrom the question,
Given:
a = 1d = (3-1) = 2n = 9Substitute these values into equation 1
S₉ = 9/2[(2×1)+(9-1)2]S₉ = 9/2(2+16)S₉ = 9(18)/2S₉ = 81Learn more about Arithmetic sequence here: https://brainly.com/question/28369191
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I’ll give brainliest Write an inequality that represents this situation below.
Your suitcase for vacation will fit at most 11 outfits you already have 5 packed
Answers
Answer: 6 ≤ x ≤ 11
Step-by-step explanation:
Let x be the number of additional outfits that can be packed in the suitcase.
The suitcase will fit at most 11 outfits, which means that x cannot be greater than 11 outfits.
On the other hand, 5 outfits have already been packed, so the number of additional outfits that can be packed is at least 6.
Therefore, the inequality that represents this situation is 6 ≤ x ≤ 11.
Twelve of the 100 digital video recorders (DVRs) in an inventory are known to be defective. What is the probability you randomly select a DVR that is not defective?
Answers
Step-by-step explanation:
a probability is always the ratio
"desired" cases / totally possible cases
the totally possible cases here are 100.
now, the question focuses on non-defective units.
how many out of the 100 are non-defective ?
well, 100 - 12 = 88 units.
so, the probability to select a non-defective (= working) unit is
88/100 = 22/25 = 0.88
in other words, as a mean and expected value, in 88 of 100 attempts, or in 22 of 25 attempts you will select a non-defective unit.
There are 100 DVRs in the inventory, and 12 of them are defective. Therefore, the number of non-defective DVRs is:
100 - 12 = 88
The probability of selecting a non-defective DVR can be found by dividing the number of non-defective DVRs by the total number of DVRs:
P(non-defective DVR) = number of non-defective DVRs / total number of DVRs
= 88 / 100
= 0.88
Therefore, the probability of randomly selecting a DVR that is not defective is 0.88, or 88%.
Simplify fraction numerator 6 minus x over denominator x squared minus 8 x plus 12 end fraction
Answers
The simplified form of the fraction is A = -1 / (x - 2)
Given data ,
Let the fraction be represented as A
Now , the value of A is
A = (6 - x) / (x² - 8x + 12)
On factorizing the denominator , we get
(x² - 8x + 12) = ( x - 6 ) ( x - 2 )
So , the new fraction is
A = ( 6 - x ) / ( x - 6 ) ( x - 2 )
A = - ( x - 6 ) / ( x - 6 ) ( x - 2 )
Taking the common factor out , we get
A = -1/ ( x - 2 )
Hence , the fraction is A = -1/ ( x - 2 )
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