Answers
School A: 6, 6, 7, 9, 14, 15, 15, 17, 17
School B: 5, 8, 8, 11, 12, 13, 15, 16, 19
Five-number summary School A:
1. sample minimum - 6 (the smallest number from the sample)
2. lower quartile - 6.5 (the number in the middle of the minimum and the median)
3. median - 14 (the middle number)
4. upper quartile - 16 (the number in the middle of the median and the maximum)
5. sample maximum - 17 (the biggest number from the sample)
IQR School A = Q3 − Q1 = 16 - 6.5 = 9.5 (The interquartile range is calculated by subtracting the lower quartile from the upper quartile.)
Five-number summary School B:
1. sample minimum - 5 (the smallest number from the sample)
2. lower quartile - 8 (the number in the middle of the minimum and the median)
3. median - 12 (the middle number)
4. upper quartile - 15.5 (the number in the middle of the median and the maximum)
5. sample maximum - 19 (the biggest number from the sample)
IQR School B = Q3 − Q1 = 15.5 - 8 = 7.5 (The interquartile range is calculated by subtracting the lower quartile from the upper quartile.)
Part B:
You can draw the box plots and see if they are symmetric. Below I'll represent it so you can have an idea.
School A - not symmetric
_________________________
|--|___________________|______|-----|
6 7 8 9 10 11 12 13 14 15 16 17
School B - not symmetric (but close)
_____________________
|-------------|__________|__________|-------------------|
5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
Related Questions
jeunesse earned $725 dollars by working 5 days in a week. What is the average amount that she earned per day?
Answers
725/5
Which term describes a person's previous pattern of borrowing and repaying?
Answers
Which of these is a verb?
Europe
Pretty
Cup
Glanced
Answers
Hope this helps you!
"The correct answer is ""Glanced.""
To determine which of the given words is a verb, we need to understand the function of each word in a sentence. A verb is a word used to describe an action, state, or occurrence, and it can change form to match the tense, mood, voice, aspect, person, and number of the subject.
Let's analyze each word:
- Europe: This is a proper noun, as it refers to a specific geographical location, the continent of Europe.
- Pretty: This is an adjective, as it describes a noun, modifying it to indicate that something has a pleasing appearance.
- Cup: This is a noun, as it names a thing, which in this case is a container used to hold liquids for drinking.
- Glanced: This is a verb, as it describes an action. ""Glanced"" means to look quickly or briefly at something. It is the past tense of the verb ""glance.""
Therefore, ""Glanced"" is the verb among the options provided."
help please!!!!!
Carlotta is constructing an equilateral triangle. She has already constructed the line segment and arc shown.
What should Carlotta do for her next step?
Place the point of the compass on point Q and draw an arc that intersects the first arc, using the same width for the opening of the compass as the first arc.
Use the straightedge to draw a line that passes through point P and intersects the arc.
Use the straightedge to draw a line that passes through point Q and intersects the arc.
Place the point of the compass on point Q and draw an arc that intersects the first arc, using a width for the opening of the compass that is less than 1/2PQ.
Answers
The next thing that Carlotta should do for the next step is A. Place the point of the compass on point Q and draw an arc that intersects the first arc, using the same width for the opening of the compass as the first arc
An equilateral triangle simply refers to the triangle that has all its sides to be equal. An equilateral triangle also means a triangle where all the angles are 60°.
Since she has already constructed the line segment and arc that's shown in the diagram, then the next thing to do is to place the point of the compass on point Q and draw an arc that intersects the first arc, using the same width for the opening of the compass as the first arc.
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the three inside angles (A, B, C) of a right angled triangle are in the ratio 7:18:11. The smallest angle is 35 degrees. Work out the angle A, B,C
Answers
ratio 7:18:11
so
7+18+11 = 36
180 / 36 = 5
7 x 5 = 35
18 x 5 = 90
11 x 5 = 55
answer
measures of right triangles are 35, 90 and 55
The three inside angles (A, B, C) of a right angled triangle are [tex]\rm \angle A = 35^\circ[/tex] which is the smallest angle, [tex]\rm \angle B = 90^\circ[/tex] which is the right angle and [tex]\rm \angle C = 55^\circ[/tex] which is the third angle of the triangle.
Given :
[tex]\rm \angle A :\angle B:\angle C = 7:18:11[/tex]Smallest angle = [tex]35^\circ[/tex]To solve this kind of problems first let x be in degree. So, angle A, angle B and angle C beecomes:
[tex]\rm \angle A = 7x[/tex] ----- (1)
[tex]\rm \angle B = 18x[/tex] ----- (2)
[tex]\rm \angle C = 11x[/tex] ----- (3)
From the properties of triangle, the sum of interior angles of a triangle is [tex]180^\circ[/tex].
[tex]\rm \angle A +\angle B+\angle C = 180^\circ[/tex] --- (4)
Now, put the values of [tex]\rm \angle A,\;\angle B,\;and \; \angle C[/tex] in equation (4).
[tex]7x+18x+11x=180^\circ[/tex]
[tex]36x = 180^\circ[/tex]
[tex]x = 5[/tex]
Now, put the value of x in equation (1), (2) and (3).
[tex]\rm \angle A = 7\times 5 = 35^\circ[/tex]
[tex]\rm \angle B = 18\times5 = 90^\circ[/tex]
[tex]\rm \angle C = 11\times5=55^\circ[/tex]
The three inside angles (A, B, C) of a right angled triangle are [tex]\rm \angle A = 35^\circ[/tex] which is the smallest angle, [tex]\rm \angle B = 90^\circ[/tex] which is the right angle and [tex]\rm \angle C = 55^\circ[/tex] which is the third angle of the triangle.
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Devin started the work shown to solve for the unknown angle measures. 8x – 1 + 9x – 6 = 180 17x – 7 = 180 17x = 187 What are the measures of angles Q and R?
Answers
Answer:
[tex]m<R=87\°[/tex]
[tex]m<Q=93\°[/tex]
Step-by-step explanation:
we have that
[tex]m<R=(8x-1)\°[/tex]
[tex]m<Q=(9x-6)\°[/tex]
[tex]m<R+m<Q=180\°[/tex] ------> by supplementary angles
Substitute the values and solve for x
[tex]8x-1+9x-6=180\°[/tex]
[tex]17x-7=180\°[/tex]
[tex]17x=187\°[/tex]
[tex]x=11\°[/tex]
Find the value of angle R
[tex]m<R=(8*11-1)\°=87\°[/tex]
Find the value of angle Q
[tex]m<Q=(9*11-6)\°=93\°[/tex]
The measure of angle Q and R can be obtained by supplementary angle. The supplementary angle is defined as the addition of two angle is [tex]180^{\circ}[/tex].
The angle Q is [tex]93^{\circ}[/tex] and angle R is [tex]87^{\circ}[/tex].
Given:
The equation for unknown angle is,
[tex]8x -1 + 9x - 6 = 180[/tex]
The supplementary angle is,
[tex]\angle R+\angle Q=180^{\circ}[/tex]
Compare the above equation.
[tex]\angle R=(8x-1)^{\circ}\\\angle Q=(9x-6)^{\circ}[/tex]
Solve the given expression.
[tex]\begin{aligned}8x -1 + 9x -6 &= 180\\ 17x - 7 &= 180 \\17x &= 187 \\x&=11\\\end[/tex]
Calculate the Angle R.
[tex]\angle R=(8\times 11-1)\\\angle R=87^{\circ}[/tex]
Calculate the Angle Q.
[tex]\angle Q=(9\times 11-6)\\\angle Q=93^{\circ}[/tex]
Thus, the angle Q is [tex]93^{\circ}[/tex] and angle R is [tex]87^{\circ}[/tex].
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In triangle abc, the measure of angle b is 20 more than three times the measure of angle
a. the measure of angle c is 55 more than the measure of angle
a. find the measure of each angle
Answers
Angle b: 20+3x
Angle c: 55+x
We know that all angles add up to 180 degrees.
180=x+(20+3x)+(55+x)
180= 5x+75
180-75=5x
105/5=x
21=x
Angle a: 21 degrees
Angle b: 20+3(21) => 83 degrees
Angle c: 21+55 => 76 degrees
Hope I helped :)
G(x) = x2 − 7x + 7, find g'(a) and use it to find equations of the tangent lines to the curve y = x2 − 7x + 7 at the points (0, 7) and (6, 1).
Answers
To find g'(a), take the derivative of G(x) with respect to x. Substitute x-values into g'(a) to find slope of tangent line. Use slope and point to write equation of tangent line.
Explanation:To find g'(a), we need to take the derivative of G(x) with respect to x. The derivative of G(x) is the slope of the tangent line to the curve at any given point. In this case, G(x) = x^2 - 7x + 7, so g'(a) = 2a - 7.
For the point (0, 7), we substitute x = 0 into g'(a) to find the slope of the tangent line at that point:
g'(a) = 2(0) - 7 = -7Therefore, the equation of the tangent line at (0, 7) is y = -7x + 7.
Similarly, for the point (6, 1), we substitute x = 6 into g'(a) to find the slope of the tangent line at that point:
g'(a) = 2(6) - 7 = 5Therefore, the equation of the tangent line at (6, 1) is y = 5x - 29.
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Which of the following is being constructed in the image?
Answers
Answer:
C) A line perpendicular to a given line through a point not on a line.
Step-by-step explanation:
In the given construction we draw a perpendicular line from a point which is not on line.
Please see the attachment for construction and naming of point.
We are given a line s and point P which is not on line. Through point P we draw an arc on line which cut at two points A and B Now we open an compass and mark an arc through point A. Using same arc we cut the arc A through point B at point C.Now we join PC. Such that PC ⊥ to line sThus, C is correct option. " a line perpendicular to a given line through a point not on a line".
Alana is writing a coordinate proof to show that the diagonals of a rectangle are congruent. she starts by assigning coordinates to a rectangle as shown. then she uses the coordinates to write and simplify expressions for the lengths of the diagonals.
Answers
The solution for the problem is:
d(S,P) = √(0-0)^2
+ √(b-0)^2
d(S,P) = √b^2
d(S,P) = b
so we know that, SP = b
d(P, Q) = √(a-0)^2 + √(b-b)^2
d(P, Q) = √a^2
d(P, Q) = a
so
PQ = a
SQ = c^2 = a^2 + b^2
SQ = √(a^2 + b^2)
Therefore, the answer is √(a^2 + b^2).
Proof of the congruence of the diagonals of a rectangle involves the distance formula stemming from the Pythagorean theorem and can be shown using specific coordinates. Comparing areas of squares uses the squares of the side lengths which simplifies to ratios.
Explanation:The lengths of the diagonals of a rectangle can be found using the distance formula, which is derived from the Pythagorean theorem. To prove the diagonals are congruent, coordinates are assigned to the vertices of the rectangle and the distance formula is applied to both diagonals. If the rectangle is placed with one corner at the origin and sides along the axes, then this process is further simplified as one can use the differences in x-coordinates and y-coordinates directly.
If we have a rectangle with vertices at coordinates (0,0), (a,0), (a,b), and (0,b), the diagonal lengths can be found by using the distance formula: the diagonal between (0,0) and (a,b) would have a length of √(a² + b²), and the diagonal between (a,0) and (0,b) would also have a length of √(a² + b²), proving that they are congruent. Additionally, when comparing areas using ratios, one simply needs to compare the squares of the lengths of respective sides, as the area of a square is the square of its side length.
k/2 -6=28
solve for k
Answers
k=68
+6 +6
_________
K/2 = 34
34*2 = 68
Answer: K = 68
The area of the base of a pyramid is 15 cm2.
If the height of the pyramid is 4 cm, what is the volume of the pyramid?
20 cm3 60 cm3 120 cm3 180 cm3
Answers
A figure such as a pyramid or cone has 1/3 of the volume of the prism which contains it. V = Bh/3
In the case of our pyramid here...
B = 15√3 cm²
h = 4 cm
Plug these into our formula...
V = Bh/3 = (15√3)(4)/3 = (60√3)/3 = 20√3 cm³
Hope this helps...
V = L*W*H/3 or B*H/3
V = (15*4)/3
V = 60/3
V = [tex] 20^{3} [/tex]
1. Estimate the area of the irregular shape. Explain your method and show your work.
Answers
notice, is just an approximation, leaving some bits out and some bits in, kinda compensating each other.
but a rectangle like so, of 6 x 5.5 units, will give you a ballpark approximation.
Answer:
The estimated area of figure is 30 square units.
Step-by-step explanation:
We need to find the area of the irregular shape.
Draw a quadrilateral as shown below.
It is a trapezium with bases 5 units and 7 units, and height 5 units.
Area of a trapezoid is
[tex]Area=\frac{a+b}{2}\times h[/tex]
where, a, b are bases and h is height.
Substitute a=5,b=7 and h=5 in the above formula.
[tex]Area=\frac{5+7}{2}\times 5[/tex]
[tex]Area=6\times 5[/tex]
[tex]Area=30[/tex]
Therefore, the estimated area of figure is 30 square units.
How many combinations are there to make $2.50 using one dollar bills, quarters, and dimes?
Answers
Final answer:
To make $2.50 using one dollar bills, quarters, and dimes, there are 7 different combinations.
Explanation:
To make $2.50 using one dollar bills, quarters, and dimes, we can use the concept of combinations. Let's break it down:
Start with the number of one dollar bills:0 one dollar bills: This gives us 0 dollars.1 one dollar bill: This gives us 1 dollar. We need to make $1.50 more with quarters and dimes.2 one dollar bills: This gives us 2 dollars. We need to make $0.50 more with quarters and dimes.Now let's consider the quarters and dimes:0 quarters and 25 dimes: This gives us $2.50.1 quarter and 20 dimes: This gives us $2.50.2 quarters and 15 dimes: This gives us $2.50.3 quarters and 10 dimes: This gives us $2.50.4 quarters and 5 dimes: This gives us $2.50.So, there are 7 different combinations to make $2.50 using one dollar bills, quarters, and dimes.
The lighthouse on the beach casts a shadow that is 4848 feet long. Your friend is 5.55.5 feet tall and casts a shadow that is 2.22.2 feet long. What is the height of the lighthouse?
Answers
Let H = height of the lighthouse
5.5/2.2 = H/48
5/2 = H/48
H = 5*48/2 = 120 feet
Hope this helped ☺
Multiply.
3⋅3/5
Enter your answer as an improper fraction, in simplified form, in the box.
Answers
Decimal form: 1.8
Mixed number form: 1 4/5
Answer:
[tex]1\frac{4}{5}[/tex]
Step-by-step explanation:
3 times 3/5
[tex]3 \cdot \frac{3}{5}[/tex]
To multiply whole number by fraction , then we multiply 3 with the numerator
[tex]\frac{3 \cdot 3}{5}[/tex]
[tex]\frac{9}{5}[/tex]
Now write the fraction in mixed form
when we divide 9 by 5, the quotient is 1 and 4 is the remainder
[tex]\frac{9}{5}[/tex]
[tex]1\frac{4}{5}[/tex]
A television commercial claims thta 9 out 10 dentists surveyed recommended bliss toothpaste. if 450 of the dentists surveyed recommended bliss, then how many did not recommend it?
Answers
_______________________________________________________
Note: 9/10 = 0.9 =0.90 = 90/100 = 90%
Let "x" representation total number of dentists surveyed.
90% of "x" = 450
(0.9)x = 450 ;
Multiple EACH SIDE of the equation by "10" ;
9x = 4500 ;
Dived each side of the equation by "9" ;
9x / 9 = 4500/ 9 ;
x = 500 ;
So; 500 dentists total in survey ; 450 out of 500 recommended Bliss ;
The number that did NOT recommend "Bliss" = 500 - 450 = 50 .
_______________________________________________________
The answer is: "50 [of the dentists surveyed]" .
_______________________________________________________
A philanthropist deposits $2,000 in a trust fund that pays 5.0% interest, compounded continuously. the balance will be given to the college from which the philanthropist graduated after the money has earned interest for 20 years. how much will the college receive? (round your answer to the nearest cent.)
Answers
What is given?
(A)mount = ?
(P)rincipal = $2000
e = 2.7183 (always)
(r)ate = .05 (turn into decimal)
(t)imd = 20 years
Plug into formula:
A = 2000*2.7183^(.05*20)
A = $5436.60
The college will receive an amount of $5436.56.
What is Compound Interest?Compound interest is different from simple interest. In compound Interest, interest amount will vary each year. Interest is calculated first on the principal amount and then interest is the accumulated interest on the previous year.
Compound interest compounded continuously means interest is accumulating not within a month or year, but continuously.
If compound interest is compounded continuously, then the formula for calculating the final amount is,
A = P e^rt
where A is the final amount, P is the principal amount, r is the rate of interest and t is the time period.
Here, P = $2,000
r = 5% = 5/100 = 0.05
t = 20 years
A = 2000 × e^(0.05 × 20)
= 2000 × e^1
= 2000e
The value of e = 2.7182818..
A = 2000 × 2.7182818
= 5436.5636 ≈ 5436.56
Hence by the amount deposited by philanthropist, if the interest is compounded continuously, the college will receive $5436.56.
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If a is a 3-digit integer and b is a 3-digit integer, is the units digit of the product of a and b greater than 5?
Answers
Which are correct representations of the inequality 6x ≥ 3 + 4(2x – 1)? Check all that apply.
Answers
The simplified inequality is x is less than or equal to -1/2.
[tex]x \leq -1/2[/tex] = [tex]1 \geq 2[/tex]
6x ≥ 3 + 4(2x – 1)
=[tex]6x \geq 3+8x-4[/tex]
-2x≥-1
x≤1/2
a correct
b -2x≥-1
x≤1/2
correct
c correct
d e incorrect
a, b, c are correct.
If all marbles in a bag are red, and all red marbles weigh 3oz, then all 3oz marbles are red. true or false?
Answers
hope this helps, Buddy
Can someone please help me with both of these! Thank youuuu!!! ❤️
Answers
The equation for line r can be written as y =-1 5 x – 1 .Line s includes the point (10, 4)and is parallel to line r. What is the equation of line s?
Answers
since line s is parallel to line r it will have the same slope.
now we can use the point-slope form equation to determine the equation of line s.
point (10.4) is taken as (x1,y1) and the equation is (y-y1)=m(x-x1)
which gives y-4=-15(x-10)
you can solve this equation to get the final equation
if the discriminant of an equation is zero, which of the following is true of the equation?
a. it has one real solution
b. it has two complex solutions
c. it has two real solutions
d. it has one complex solution
Answers
If the discriminant of an equation is zero, then the correct statement amongst given statement is:
a. It has one real solution
Step-by-step explanation:We have three cases of discriminant--
If the discriminant of the equation is strictly greater than zero then the equation has two real solutions.If the discriminant is equal to zero then it has one real solution.and if the discriminant is strictly less than zero then the equation has 0 real solutions i.e. both the solutions of the equation are complex.
A large bag of gumballs contains an equal amount of red, orange, yellow, blue, green, pink, purple, black, teal, and brown gumballs. Lane randomly selects 1 marble from the bag. Which of the following represents the probability of selecting an orange, green, teal, black, or purple gumball?
A. 0.6
B. 0.5
C. 0.7
D. 0.8
Answers
The answer would be B because there are 10 possible colors of marbles and an equal amount of them in the bag, you want to know the probability of picking five of the ten possible colors which is 50% of the total marble colors.
Hope this helped! (Brainliest would be nice only if you think i deserve it)
Dylan is 6 years younger than Briana. Briana's age can be represented by x. Write an expression representing Dylan's age.
Answers
-------------------------------------------------------------------
x is Brina's age
-6 is how many years younger Dylan is
Answer:
x - 6
Step-by-step explanation:
usatestprep
k-12
Determine the probability of getting a 4 when rolling a fair number cube. If Thelma rolls a fair number cube 600 times, how many times can she expect to get a 4?
Answers
1/6 * 600 = 100
in a tank that contains only golden platys, the probability of getting a female fish is 30%. If there are 18 female fishin the tank, how many total fish are in the tank?
Answers
Using probability concept in mathematics, the total number of fish in the tank would be 60, this is solved by the equation
[tex]X = (18*100)/30[/tex]Explanation:The student's question involves the concept of probability in mathematics. Given that the probability of finding a female golden platy is 30% and there are 18 female golden platys, we can formulate an equation to find the total number of fish. Let's say the total number of fish in the tank is X. Accordingly, we can write 30/100 * X = 18. Solving this equation would give X = 18 / (30/100), which simplifies to
[tex]X = (18*100)/30 = 60[/tex]golden platys in the tank.
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Use the graph to fill in the blank.
F(0)=_
Answers
hope it helps
Find the exact value of the trigonometric function. (if an answer is undefined, enter undefined.) tan(30°)
Answers
Final answer:
The exact value of tan(30°) is found using the sine and cosine values of 30°, resulting in tan(30°) being approximately 0.577.
Explanation:
To find the exact value of tan(30°), we look at the relationship between the sides of a 30-60-90 triangle or use the definitions of sine and cosine. The sine of 30° (sin(30°)) is 0.500, and the cosine of 30° (cos(30°)) is 0.866. The tangent is the ratio of sine to cosine, so:
tan(30°) = sin(30°) / cos(30°) = 0.500 / 0.866
When you calculate that ratio, you get tan(30°) = approximately 0.577, which is the exact value for tangent of 30 degrees.