The list shows the scores made be each member of Jaime's discussion group on the last test. 69 79 62 93 73 81 73 78 Which box-and-whiskers plot correctly displays the information? f Box-and-whiskers plot G g Box-and-whiskers plot J h Box-and-whiskers plot F j Box-and-whiskers plot H
Answers
Explanation
We first order the data from least to greatest:
62, 69, 73, 73, 78, 79, 81, 93
The median is the middle data value. Since there is an even number of values, the median is between 73 and 78:
(73+78)/2 = 151/2 = 75.5
The Upper Quartile (UQ) is the median of the upper half of data, cut by the median. This half has an even number of data points, so the UQ is between 79 and 81:
(79+81)/2 = 160/2 = 80
The Lower Quartile (LQ) is the median of the lower half of data, cut by the median. This half has an even number of data points, so the LQ is between 69 and 73:
(69+73)/2 = 142/2 = 71
The center line of the box will be at 75.5, the median. The left edge of the box is at the LQ, 71. The right edge of the box is at the UQ, 80. There is a whisker extending from the right side of the box to the highest value, 93. There is a whisker extending from the left side of the box to the lowest value, 62.
Final answer:
To choose the correct box-and-whiskers plot for Jaime's discussion group scores, we must calculate the five key statistics and match them with a plot displaying those exact values, factoring in the majority of scores in the 70-89 range.
Explanation:
To determine which box-and-whiskers plot correctly displays Jaime's discussion group scores, we need to calculate five key statistics: the minimum, lower quartile (Q1), median (Q2), upper quartile (Q3), and the maximum. These statistics help us create an accurate box plot representation of the dataset.
First, we organize the scores in ascending order: 62, 69, 73, 73, 78, 79, 81, 93. From here, we can identify the minimum (62) and maximum (93) scores directly. The median score will be the average of the fourth and fifth scores since we have an even number of observations, which is (73+73)/2 = 73. The lower quartile (Q1) is the median of the lower half of the data, which would be (69+73)/2 = 71. The upper quartile (Q3) is the median of the upper half of the data, which is (79+81)/2 = 80.
Now that we have all the necessary statistics, we can select the box plot that matches these values. Jaime's scores are mostly within the 70-89 range, reflecting a majority of C and B grades, with a few scores in the 60-69 and 90-100 ranges, which correspond to D/F and A ranges respectively. The correct box-and-whiskers plot will show a box ranging from Q1 (71) to Q3 (80), a median line at 73, a whisker extending to the minimum score of 62, and another whisker extending to the maximum score of 93.
Related Questions
Use the graph of f (x) to find the solutions to the equation f (x) = 0.
A. two solutions: x = 6, -2
B. two solutions: x = -6, 2
C. one solution: x = -12
D. no solutions
Answers
The graph of f(x) have two solution: x= -6, 2.
What is Solution of function?To graphically solve a system of linear equations, we graph both equations in the same coordinate system. The system's solution will be found where the two lines intersect.
For instance, The intersection of the two lines is (-3, -4), which is the solution to this system of equations.
To find the solution of f(x) at f(x) = 0.
we need to focus on the the points where the graph cuts the x axis.
This is because when f(x)= 0 then it means that y= 0 such that the points will lies on the x axis.
Now, from seeing the function have two solutions.
Thus, the solution of the f(x) is -6 and 2.
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I have a formula of 10 ounces of powder to 1 gallon of water, I need to know how much powder to use to a pint.
Answers
How many solutions over the complex number system does this polynomial have
3x^6-x^3-4x^2+3x+52=0
Answers
We note that the polynomial graph cuts only the vertical axis at one point.
The graph has no other cut points on the x axis
Therefore, the polynomial has:
6 complex solutions
0 real solution
Answer:
6 complex solutions
See attached image
Answer:
6 complex solutions
Step-by-step explanation:
Mrs. Thomas is preparing a lunch for a group of students.
A can of juice has a radius of 4 cm and a height of 11 cm.
Mrs. Thomas knows she needs at least 5,100 Cm^3 of juice.
How many cans of juice will Mrs. Thomas need to buy?
Answers
V=π4^2(11)
V= (approximately) 552.92 cm cubed
5100/552.92= (approximately) 9.2 cans
To determine the number of cans of juice Mrs. Thomas needs to buy, calculate the volume of juice in one can and then divide the total required volume by the volume of one can. Mrs. Thomas will need to purchase at least 10 cans of juice.
To find out how many cans of juice Mrs. Thomas needs to buy, we need to calculate the volume of juice in one can first.
We use the formula for the volume of a cylinder: V = πr²h, where r is the radius and h is the height.Calculate the volume of one can: V = 3.142 x (4 cm)² x 11 cm = 554.632 cm³.Divide the total volume needed by the volume of one can: Number of cans = 5,100 cm³ / 554.632 cm³ = 9.19.Since you can't buy a fraction of a can, Mrs. Thomas will need to buy at least 10 cans of juice.
janis and susan went to a clearance sale at a clothing store all blouses were selling for the same price and all skirts were selling for the same price janis bought 4 blouses and skirts in total of $68 what was the cost of each blouse?
Answers
If all 4 items were blouses, each blouse would cost $17. Without knowing how many skirts were bought, we can't definitively determine the exact price of each blouse.
Explanation:In order to find the cost of each blouse we need to follow the step-by-step solution. Imagine that all items Janis purchased were blouses. As we don't know the exact number of skirts she bought, assume she bought 4 blouses for $68, so the price of one blouse would be $68 divided by 4, which equals $17. However, if Janis also purchased skirts which are not necessarily the same price as blouses, the price of a blouse could actually be less than $17. Without further information on the number and price of skirts, we can't definitively say what the price of each blouse would be.
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how to solve 2x squared -6x-+=0
[tex] {2x}^{2} - 6x - 1 = 0[/tex]
Answers
[tex]Used:\ (a-b)^2=a^2-2ab+b^2[/tex]
Kali wants to build this birdhouse.she bought a24 inch by 48 inch sheet of plywood does kali have enough wood to make the bird house Explain Next Question: kali Decides to paint the bird house.she a a pint of paint that covers 32.5ft^2 of surface how can you tell that kali has enough paint without calculating?? 14 Points
Answers
where
[tex]A[/tex] is the area
[tex]w[/tex] is the width
[tex]l[/tex] is the length
We can infer from our problem that the width of the plywood's sheet is 24 inch and the length is 48 inch, so [tex]w=24[/tex] and [tex]l=48[/tex]. Lets replace those values in our formula:
[tex]A=wl[/tex]
[tex]A=(24)(48)[/tex]
[tex]A=1152[/tex] square inches
Next, we are going to find the surface area birdhouse. The birdhouse is a rectangular prism with 5 inches width, 5 inches length, and 8 inches height, so we can use the formula for the surface area of a prism: [tex]A=2(wl+hl+hw)[/tex]
where
[tex]A[/tex] is the surface area
[tex]w[/tex] is the width
[tex]l[/tex] is the length
[tex]h[/tex] is the height
We already know those values, so lets replace them:
[tex]A=2(5*5+8*5+8*5)[/tex]
[tex]A=210[/tex] square inches
Since 210 square inches is less than 1152 square inches, we can conclude that Kali has enough plywood to build the birdhouse.
2. We know that there are 144 in^2 in 1 ft^2; those are a lot of square inches! We also know that the surface area of Kali's birdhouse is 210 in^2. Since there are a lot more than 210 square inches in 32.5 square feet, we can conclude that he has more than enough painting to paint his bird house.
Find the volume of this triangular prism. Dimensions are in inches
Answers
12×16=192 (l×w)
192×10=1,920in=volume
calculate the area of a rectangle with an altitude of 30 cm and a diagonal of 50 cm
Answers
Given the diagonal and altitude of a rectangle, we can use the Pythagorean theorem to find the base. From there, multiply the base and altitude to find the area of the rectangle. In this case, the area is 1200 cm².
Explanation:The question is asking to calculate the area of a rectangle given the altitude (height) and the diagonal. We have two parameters, the altitude which is 30 cm and the diagonal which is 50 cm. From this, we can infer that the rectangle forms a right triangle with the altitude and the base being the two perpendicular sides and the diagonal being the hypotenuse. In this case, we can apply the Pythagorean theorem: base² = diagonal² - altitude².
Absolving, we find the value of the base of the rectangle: base = sqrt(50² - 30²) = 40 cm. The area of the rectangle can be calculated using the formula: Area = base x altitude = 40 cm * 30 cm = 1200 cm². Therefore, the area of the rectangle is 1200 cm².
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Can someone help me find the area
Answers
In total, you should get a volume of 1078in^3 (the bigger container) plus 175in^3 (the smaller container on top of the bigger one). The answer is 1,253in^3.
Hope this helped! :)
Annie is making square shaped flags to cheer on the swim team. The length of the side of the square is given by the expression 2x + 4. Which of the following gives an expression for the perimeter of the square? 4x + 8 2x + 16 8x +16 4x + 16 If x has a value of 5, what is the perimeter of the square? The perimeter is units. If x has a value of 3, what is the area of the square? Show all of your steps. Previous
Answers
If x=5, then the perimeter is P=8*5+16=56
If x=3, then the side of the square is 2*3+4=10 and the area is [tex]A=10*10=100[/tex]
The expression for the perimeter of Annie's square-shaped flag is 8x + 16 units. When x is 5, the perimeter of the flag is 56 units. If x is 3, the area of the flag is 100 square inches.
Annie is making a square-shaped flag with the side length given by the expression 2x + 4. To find the expression for the perimeter of the square, we recall that the perimeter of a square is the sum of all its sides. Since all sides of a square are equal, the perimeter is 4 times the length of one side. Therefore, the expression for the perimeter is 4(2x + 4), which simplifies to 8x + 16.
If x has a value of 5, we substitute 5 into our expression for the perimeter, giving us 8(5) + 16, which equals 40 + 16, so the perimeter is 56 units.
If x has a value of 3, the side of the square would be 2(3) + 4, which is 6 + 4, thus the side is 10 inches. The area of a square is the side length squared, so the area would be 10²or 100 square inches.
Which ratio is not equivalent to the other three? A. 2/5 B. 12/25 C. 6/15 D. 18/45.
Answers
because 2/5=.4
12/25=.48
6/15=.4
18/45=.4
Which of the following statements is NOT true?
1) Similar quadrilaterals have all corresponding angles.
2) Similar quadrilaterals have corresponding sides in the same proportion.
3) Similar quadrilaterals are always reflections of one another.
4) Similar rectangles have corresponding angles & sides that are in proportions
Answers
The incorrect statement about similar quadrilaterals is that they are always reflections of one another. Similarity requires equal angles and proportional sides, but does not require figures to be reflections.
Explanation:The statement that is NOT true among the ones provided about similar quadrilaterals is "Similar quadrilaterals are always reflections of one another."While similar quadrilaterals do have corresponding angles and sides that are in proportion, that alone does not necessitate that one is a reflection of the other.
Reflection involves a specific type of isometry where the figure is flipped across a line, creating a mirror image.
Similarity, on the other hand, only requires that all angles are congruent and all sides are in proportion, regardless of any reflection or orientation.
To further illustrate, consider two rectangles that are similar. They may simply have their sides scaled up or down by the same factor, without necessarily being reflections of one another.
On the other hand, two shapes that are reflections of each other would be congruent, implying that they are the same size as well as being mirror images with respect to a line of reflection.
Final answer:
The statement that is NOT true is number 3: Similar quadrilaterals are always reflections of one another.
Explanation:
The statement that is NOT true is number 3) Similar quadrilaterals are always reflections of one another.
Similar quadrilaterals have all corresponding angles (statement 1) and corresponding sides in the same proportion (statement 2). However, not all similar quadrilaterals are reflections of each other. Similarity refers to the relationship between the corresponding angles and sides of two shapes, not their orientation or position in space.
For example, consider two rectangles with different orientations, but the same angle measures and ratio of corresponding sides. These rectangles are similar, but they are not reflections of each other.
Please Help!! Will pick brainliest!
Answers
(60 Points)
Question 1
Use the net to determine the total surface area.
(Picture 1)
A. 72 in2
B. 192 in2
C. 232 in2
D. 200 in2
Question 2
Use the net to determine the total surface area.
(Picture 2)
A.270 in2
B. 330 in2
C. 350 in2
D. 310 in2
Question 3
Use the net to determine the lateral surface area.
(Picture 3)
A. 134.4 in2
B. 72 in2
C. 103.2 in2
D. 92.8 in2
Question 4
Use the net to determine the total surface area.
(Picture 4)
A. 528 cm2
B. 480 cm2
C. 336 cm2
D. 192 cm2
Question 5
Use the net to determine the total surface area.
(Picture 5)
A. 249.6 cm2
B. 499.2 cm2
C. 108 cm2
D. 278.4 cm2
Answers
D
C
B
I believe those are your answers
The total surface area of each of the figure are 232 inches², 310 inches², 103.2 inches², 336 cm² and 249.6 cm².
What is Surface Area?The area of a three dimensional object on it's outer surface is called the surface area of the object.
1) Total surface area = (10 × 8) + (10 × 2) + (10 × 8) + (10 × 2) + (8 × 2) + (8 ×2)
= 232 inches²
2) Total surface area = 2 [(10 × 7) + (10 × 5) + (7 × 5)]
= 310 inches²
3) Total surface area = (2)(6)(4) + (2)(1/2)(6)(5.2) + (6)(4)
= 103.2 inches²
4) Total surface area = (4)(1/2)(8)(12) + (12)(12)
= 336 cm²
5) Total surface area = (4)(1/2)(12)(10.4)
= 249.6 cm²
Hence the total surface area area found.
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gene bakes 10 loaves of bre for the party. He needs 4 cups of milk for each loaf. How many quarts of milk does he need to make all of the loaves?
Answers
The number of loaves Josh can bake with 13 and one-third cups of flour is 4 loaves.
What is a unit rate?It is the quantity of an amount of something at a rate of one of another quantity. Unit rate is the quantity of an amount of something at a rate of one of another quantity.
In 2 hours, a man can walk for 6 miles
In 1 hour, a man will walk for 3 miles.
We have,
Josh wants to determine the number of loaves of bread he can bake using the 13 and one-third cups of flour he has.
13(1/3) can be written as,
= 13(1/3)
= 40/3
Each loaf requires 3 and four-fifths cups of flour.
This can be written as,
3(4/5) cups of flour = 1 loaf
19/5 cups of flour = 1 loaf
Multiply 5/19 on both sides.
1 cup of flour = 5/19 loaf
Multiply 40/3 on both sides.
40/3 cups of flour = 40/3 x 5/19 loaf
40/3 cups of flour = 3.5 loaf
This means we can make 4 loaves.
Thus,
The number of loaves Josh can bake with 13 and one-third cups of flour is 4 loaves.
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complete quesrtion:
Josh wants to determine the number of loaves of bread he can bake using the 13 and one-third cups of flour he has. If each loaf requires 3 and four-fifths cups of flour, how many loaves can Josh bake? 3 loaves of bread 4 loaves of bread 50 loaves of bread 51 loaves of bread
Find M angle P
The diagram is not a scale
Answers
Subtract 106 from both sides.
m∠p = 74°, the second option.
In a wooded area, you randomly select 10 trees and find that 3 are tagged. You conclude that there is a 30% probability of randomly selecting a tagged tree.
A. Empirical
B. Theoretical
Answers
A. It's Empirical (APEX)
If the radius of the compass is 14 millimeters, what is the
approximate area of the compass?
A. 87.92 mm2
B. 615.44 mm2
C. 1,230.88 mm2
D. 43.96 mm2
Answers
area of a circle=pi*r²
for r=14 mm
area=pi*14²----> 615.44 mm²
the answer is
615.44 mm²
What is the value of x in the triangle ?
Answers
The length and width of the screen of the TV set are in the ratio 16:9. If the perimeter of the screen is 180cm find its length and width
Answers
x--------> the length of the screen of the TV
y--------> the width of the screen of the TV
we know that
perimeter of the screen=2*[x+y]
perimeter=180 cm
180=2*[x+y]-----> 90=x+y--------> equation 1
x/y=16/9------>x=(16/9)*y-----> equation 2
substitute the equation 2 in equation 1
90=[(16/9)*y]+y----------> (25/9)*y=90------> y=32.4 cm
x=(16/9)*32.4-----> x=57.6
the answer is
the length of the screen of the TV is 57.6 cm
the width of the screen of the TV is 32.4 cm
The circle has a radius of 3 cm. What is the area of the circle?
A. 9.42 cm2
B. 56.52 cm2
C. 18.84 cm2
D. 28.26 cm2
Answers
3.14*r^2
which is 3
r=3
what you do is
3.14*3*3 which is 28.26cm^2 which is D
Answer:
D: 28.26
Step-by-step explanation:
What is 10and 1/9 +7and5/6
Answers
First, let's add the whole numbers . . .
10 + 7 = 17
-----------------------------------------------------
Finding the LCD ...
1/9 = 2/18
5/6 = 15/18
2 + 15 = 17
(If both denominators are the same, then they stay the same in the total fraction)
= 17/18
17 + 17/18 = 17 17/18 ←
The correct answer is 17 17/18
10 1/9 + 7 5/6 = 17 17/18
I hope this helps you.
Have a great day! :)
Using the continuously compounding formula, what would the be the balance if you invest $5500 at a rate of 8% compounded continuously for 6 years? PLEASE SHOW ALL OF YOUR WORK in the space provided.
Answers
A=Pe^(rn)
where:
A=future value
P=principle
r=rate
n=number of terms
From the information given:
P=$5500, r=8%, n=6 years
thus
A=5500e^(0.08×6)
A=5500e^(0.48)
A=$8888.41
The balance would be $8888.41
Jewelers building a pen for her baby turtles. She wants the pain to be 30 in long and 45 in wide. What piece of wood will Jill need to purchase to buildTurtle pin?
Answers
Beth drew four quadrilaterals which of the four quadrilaterals that she Drew is a regular polygon
Answers
let f(x)=2x^2-3x+8.what is the value of f(-4)?
Answers
f(-4) = 2(-4)² - 3(-4) + 8 = 52
Answer: 52
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Heather is planning a dessert display. She needs 4 ounces of strawberries for each dessert.
Part A: Heather is not sure how many desserts she will make. Write an expression with a variable that represents the amount of strawberries Heather needs for the desserts. Identify what the variable represents.
Part B: If Heather has 24 ounces of strawberries, how many desserts can she make? Create an equation and show all work to solve it.
Answers
part B. 6-
24 / 4 is 6
Answer:
4x=24
Step-by-step explanation:
Write and solve an inequality that represents the followinh: You want to read at least 12 books over the next 3 months. Let X represent the number of books read each month.
A. 3x>12;x>4
B.4x>12;x>3
C.3x>12;x<4
D.4x>12;x<3
(The signs are Greater than or equal to AND Less than or equal to signs but I couldn't put a line under them to signify that)
Answers
This is an EXPLAIN YOUR THOUGHTS QUESTION, be sure to answer ALL parts of the questions and show all your work.
Task: Find the surface area of a square pyramid with each side of the base measuring 6 cm and the slant height is 12 cm.
Part a) Identify the known values
Part b) Set up the equation that you will use to solve (be sure to include the known values and the variable that you are trying to solve for)
Part c) Solve the equation. (Be sure to include units!)
Answers
• the edge length of the square pyramid base is 6 cm
• the slant height of the square pyramid faces is 12 cm
b) The surface area is the sum of the area of the base and the area of the four triangular sides. The area of a triangle is half the product of base length and height (slant height, in this case).
A = b² +4*(1/2)*bh = b(b +2h)
Substituting known values, we have ...
A = (6 cm)*(6 cm +2*12 cm)
c) A = (6 cm)*(6 cm +24 cm) . . . . order of operations: multiplication inside parens
A = (6 cm)*(30 cm) . . . . . addition inside parens
A = 180 cm² . . . . . . . . . . multiplication
The area of the pyramid is 180 cm².