Answers
The box and whisker plot is a 71 and 53 and 89 which represent the
median, upper value and lower value.
According to the statement
we have given that the some data of the marks of 18 students and we have to make the plot of that data.
So, For this purpose, we have given that the
A box and whisker plot is a visual tool that is used to graphically display the median, lower and upper quartiles, and lower and upper extremes of a set of data.
And it is used to find the median and the lower value and the maximum value.
So, The median become:
median = n /2
median = 18/2
median = 9th term and
median value is 71.
And then the lower value of the data is a 53.
And the upper value of the data is a 89.
So, overall we can say that the combination of median, upper value and lower value is called the box and whisker plot.
So, The box and whisker plot is a 71 and 53 and 89 which represent the
median, upper value and lower value.
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Related Questions
M angle JKL=
Help me please! Asap thanks so much :)
Answers
The measure of the angle <JKL is 56 degrees
Tangent secant theorem of a circleThe theorem states that if a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.
Given the following parameters
m<IL = 112 degrees
Since the measure of the vertex is half the measure of its intercepted arc, hence;
<JKl = 1/2(m<IL)
Substitute the given parameters into the formula to have;
<JKl = 1/2(112)
<JKL = 56 degrees
Hence the measure of the angle <JKL is 56 degrees
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PLS HELP IM SO STUCK
Answers
3x-2y= 7
Slope intercept form y= mx+b
3x- 2y= 7
- 3x -3x
-2y/-2= 3x/-2 - 7/2
y= 3x/-2 -7/2
Answer:
3x/2 and the second 7/-2y
Step-by-step explanation:
thats how is what i got
Find the center of a circle with the equation: x2 y2−32x−60y 1122=0 x 2 y 2 − 32 x − 60 y 1122 = 0
Answers
The equation of a circle exists:
[tex]$(x-h)^2 + (y-k)^2 = r^2[/tex], where (h, k) be the center.
The center of the circle exists at (16, 30).
What is the equation of a circle?
Let, the equation of a circle exists:
[tex]$(x-h)^2 + (y-k)^2 = r^2[/tex], where (h, k) be the center.
We rewrite the equation and set them equal :
[tex]$(x-h)^2 + (y-k)^2 - r^2 = x^2+y^2- 32x - 60y +1122=0[/tex]
[tex]$x^2 - 2hx + h^2 + y^2 - 2ky + k^2 - r^2 = x^2 + y^2 - 32x - 60y +1122 = 0[/tex]
We solve for each coefficient meaning if the term on the LHS contains an x then its coefficient exists exactly as the one on the RHS containing the x or y.
-2hx = -32x
h = -32/-2
⇒ h = 16.
-2ky = -60y
k = -60/-2
⇒ k = 30.
The center of the circle exists at (16, 30).
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Thirty percent of high-school senior boys play in the school band. If a certain high school has 60 senior boys, how many boys play in the school band?
(A) 12
(B) 18
(C) 22
(D) 30
Answers
Graph paper recommended***
Quadrilateral MATH includes the points M(2,-4) and A(5,-2).
Part A: Find coordinates for T and H such that quadrilateral MATH is a rectangle.
Part B: Prove that the resulting quadrilateral is a rectangle.
18
Answers
a) The coordinates for T and H such that quadrillateral MATH is a rectangle are T(x, y) = (2, - 2) and H(x, y) = (5, - 4).
b) The quadrilateral MATH is a rectangle.
How to create and analyze quadrillateral on a Cartesian plane
Quadrilaterals are figures with four sides and whose internal angles sums a total of 360 degrees. A quadrilateral is a rectangle when each pair of opposite sides are parallel and have the same length to each others, each of the four angles are right angles and each pair of perpendicular sides.
a) Vectorially speaking, we can construct a rectangle by using the following definitions:
M(x, y) = (a, b), A(x, y) = (c, d), T(x, y) = (a, d), H(x, y) = (c, b)
If we know that a = 2, b = - 4, c = 5, d = - 2, then the points T and H are described below:
T(x, y) = (2, - 2), H(x, y) = (5, - 4)
The coordinates for T and H such that quadrillateral MATH is a rectangle are T(x, y) = (2, - 2) and H(x, y) = (5, - 4).
b) To prove that quadrilateral MATH, we need to prove that:
MT = HA
(2, - 2) - (2, - 4) = (5, - 2) - (5, - 4)
(0, 2) = (0, 2)
TA = MH
(5, - 2) - (2, - 2) = (5, - 4) - (2, - 4)
(3, 0) = (3, 0)
MT • TA = 0
(0, 2) • (3, 0) = 0 · 3 + 2 · 0 = 0
MH • HA = 0
(3, 0) • (0, 2) = 3 · 0 + 0 · 2 = 0
Therefore, the quadrilateral MATH is a rectangle.
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if the earth is 12.5 million years old, how old is the earth in hours?
Answers
Answer:
1.09575e+11
Step-by-step explanation:
365 days per year
12,500,000 years
12,500,00*365*24=
1.095 x 10^11
In each of the following, the type of variation is given along with 1 data point. Find the variation constant. a. direct variation; y = Kx where x = 3 and y = 6 b. inverse square variation; y = K/x2 where x = –2 and y = 1 c. inverse variation; y = K/x where x = 8 and y = 10 d. inverse variation; y = K/x where x = 3 and y = 3 e. direct square variation; y = Kx 2 where x = 5 and y = 15 f. direct variation; y = Kx where x = –7.5 and y = 6.3
Answers
For direct variation, variation constant = 2.
For inverse square variation, variation constant = 4.
For inverse variation, variation constant =80.
For inverse variation, variation constant = 9.
For direct square variation, variation constant = 0.6
For direct variation, variation constant = -0.84
(a) Direct variation: y = Kx where x = 3 and y = 6
Variation constant(k) = y/x = 6/3 =2
(b) Inverse square variation: y = K/[tex]x^{2}[/tex] where x = -2 and y = 1
Variation constant(k) = y[tex]x^{2}[/tex] = 1(-2)(-2) =4
(c) Inverse variation: y = K/x where x = 8 and y = 10
Variation constant(k) = y*x = 8*10 =80
(d) Inverse variation: y = K/x where x = 3 and y = 3
Variation constant(k) = y*x = 3*3 =9
(e) Direct square variation: y = K[tex]x^{2}[/tex] where x = 5 and y = 15
Variation constant(k) = y/[tex]x^{2}[/tex] = 15/25 =0.6
(f) Direct variation: y = Kx where x = -7.5 and y = 6.3
Variation constant(k) = y/x = -6.3/7.5 = -0.84
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Four interior angles of a pentagon measure 156°, 72°, 98°, and 87°. What is the measure of the final interior angle?
108°
127°
150°
487°
Answers
Answer:
127
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
What is the area of the sector of the circle below, if the radius is 5 m. and the central angle < AOB measures 88 °. (round answer to the nearest tenth)
Answers
Answer:
b 19.2
Step-by-step explanation:
a = [tex]\pi[/tex][tex]r^{2}[/tex] for a circle. We do not want to find the area for a whole circle. We only want to find the area for part of a circle. a hole circle is 360 degrees.
a = [tex]\frac{88}{360}[/tex][tex]\pi[/tex][tex]r^{2}[/tex]
a = [tex]\frac{88}{360}[/tex][tex]\pi[/tex]([tex]5^{2}[/tex])
a = 19.2 rounded.
The area of the sector of circle is b. 19.20 square meter.
What is the area of sector of circle?The space enclosed by the sector of circle is called area of the sector of circle.Mathematically,
Area of the sector of circle, A = θ/360πr²
where θ is the angle of the arc and r is the radius of the circle.
Now it is given that,
radius of the circle, r = 5m
Angle of arc, θ = 88°
Therefore, area ofsector of circle A = θ/360πr²
Put the values,
A = 88/360 π 5²
Solving the equation we get
A = 19.20 square meter.
Hence,the area of the sector of circle is b. 19.20 square meter.
So the correct answer is b.) 19.20 square meter.
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c) Shin thinks of a number. She multiplies it bye 5 then subtract 7. The answer is he
same as 3 times a number plus 11. What number did shin think of?
Answers
Answer:
9
Step-by-step explanation:
let the number be y
5×y - 7 = 3×y + 11
5y-7 = 3y+11
collect like terms
5y-3y = 11+7
2y = 18
y = 18/2
y = 9
find the value of x and y that satisfies both the equaties x/y= 2/3 and y/24=3/4
Answers
Answer:[tex]\Large\boxed{x=12~;~y=18}[/tex]
Step-by-step explanation:
Given a system of equations
[tex]1)~\frac{x}{y} =\frac{2}{3}[/tex]
[tex]2)~\frac{y}{24} =\frac{3}{4}[/tex]
Multiply 24 on both sides of 2) equation to isolate y-value
[tex]\frac{y}{24}\times24 =\frac{3}{4}\times24[/tex]
[tex]\Large\boxed{y=18}[/tex]
Substitute the y-value into the 1) equation
[tex]\frac{x}{18} =\frac{2}{3}[/tex]
Multiply 18 on both sides of 1) equation to isolate y-value
[tex]\frac{x}{18}\times18 =\frac{2}{3}\times18[/tex]
[tex]\Large\boxed{x=12}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
What are the points if the slope is 4 and the point is (1,-1)
Answers
The points if the slope is 4 and the point is (1,-1) are (1,-1) and (2, 3)
What are linear equations?Linear equations are equations that have constant average rates of change, slope or gradient
How to determine the points?The given parameters are:
Slope = 4
Point = (1, -1)
The slope of 4 means that as x changes by 1, the value of y changes by 4
This means that, we have:
(x + 1, y + 4)
Substitute the known values in the above equation
(1 + 1, -1 + 4)
Evaluate
(2, 3)
Hence, the points if the slope is 4 and the point is (1,-1) are (1,-1) and (2, 3)
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find the value of n:
[tex]\frac{10}{n} =\frac{15}{6}[/tex]
Answers
what is 5/8 divided by 1/2?
Answers
Answer:
5/4
Step-by-step explanation:
(5/8)(2/1)
(Reciprocal of 1/2 is 2/1 as shown above)
(5)(2)/(8)(1)=10/8
10/8=5/4
Jamie is 6 years older than tyrion now. in 2 years, jamie will be one year less than twice tyrion's current age. what is jamie's current age?
Answers
Answer:
Jamie is currently 15.
Step-by-step explanation:
Scalcet8 4. 2. 26. suppose that 2 ≤ f '(x) ≤ 4 for all values of x. what are the minimum and maximum possible values of f(4) − f(1)? ≤ f(4) − f(1) ≤ show my work (optional)
Answers
The minimum value of f(4) - f(1) is 6.
The maximum value of f(4) - f(1) is 12.
In the question, we are given that, 2 ≤ f'(x) ≤ 4 for all values of x.
Taking the given inequality as (i).
We are asked to find the minimum and maximum possible values of f(4) - f(1).
We multiply (i) by dx throughout, to get:
4dx ≤ f'(x)dx ≤ 5dx.
To find this, we integrate (i) in the definite interval [4, 1] with respect to dx, to get:
[tex]\int_{1}^{4}2dx \leq \int_{1}^{4}f'(x)dx \leq \int_{1}^{4}4dx\\\Rightarrow [2x]_{1}^{4} \leq [f(x)]_{1}^{4} \leq [4x]_{1}^{4}\\\Rightarrow 2*4 - 2*1 \leq f(4)-f(1) \leq 4*4 - 4*1\\\Rightarrow 6 \leq f(4) -f(1) \leq 12[/tex]
Thus, the minimum value of f(4) - f(1) is 6.
The maximum value of f(4) - f(1) is 12.
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what is the equivalent expression (3*5)^6=?
Answers
Answer:
15^6
Step-by-step explanation:
According to BODMAS
where;
B - Bracket ()
O - Off (*)
D - Division (/)
M - Multiplication (*)
A - Addition (-)
S - Subtraction (+)
Bracket should be solved first
therefore;
(3*5)^6
15^6 = 11390625
Which can be approximately in standard form written as 1.1*10^7
Write a series of instructions that will multiply eax by 18, using a combination of shift, mov, and add instructions
Answers
MOV EBX,EAX
SHL EAX,4
SHL EBX,1
ADD EAX,EBX these are the series of instructions that will multiply eax by 18, using a combination of shift, mov, and add instructions.
STEPS:
1. Copy EAX into another register, say EBX
2. We know that shift left by 'n' bits results in multiplication with 2^'n' , so perform shift left operation of EAX by 4 bits ( results in multiplication of EAX with 16) and perform shift left operation of EBX by 2 bits(results in multiplication of EBX with 2)
3. Now add EAX and EBX which is the required answer ( Since, i*16 + i*2 equals to i*18 )
INSTRUCTIONS:
mov ebx,eax ; make copy
shl eax,4 ; eax * 16
shl ebx,1 ; ebx * 2
add eax,ebx ; answer
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Find the width and heigth of a newer 47-inch television whose screen has an aspect ratio of 4:3
Find the área of the screen
Answers
Answer:
width: 37.6 inheight: 28.2 inarea: 1060.32 in²Step-by-step explanation:
The measurement used to describe a television is the length of its diagonal. The relation between the width, height, and diagonal is described by the Pythagorean theorem.
Diagonal unitsThe Pythagorean theorem tells us the relation between the sides of a right triangle and its hypotenuse. The diagonal of a rectangle is the hypotenuse of a right triangle whose sides are the width and height of the rectangle. If 'c' is the number of "ratio units" in the diagonal, we have ...
4² +3² = c²
c = √(16 +9) = 5
The diagonal of the screen is 5 ratio units, so the width is 4/5 of the length of the diagonal, and the height is 3/5 the length of the diagonal.
Screen dimensionsThe width is ...
(4/5)(47 in) = 37.6 in . . . width
The height is ...
(3/5)(47 in) = 28.2 in . . . height
AreaThe area is the product of the width and height:
A = WH = (37.6 in)(28.2 in) = 1060.32 in²
The area of the screen is 1060.32 square inches.
find PQ if possible
Answers
Answer: 11 units
Step-by-step explanation:
We can say that [tex]\triangle TSQ\sim\triangle PSR[/tex] by AA Similarity Postulate. This is since [tex]\angle T\cong\angle P[/tex] and both ∠TSQ and ∠RSP are right angles, making them congruent.
Similar triangles have a property that corresponding sides are proportional. Hence, we can say that
[tex]\frac{ST}{PS}=\frac{SQ}{SR}\\\frac{15}{PS}=\frac{9}{12}\\\frac{15}{PS}=\frac{3}{4}\\60=3*PS\\PS=20[/tex]
We also know that PS is the combined length of PQ and QS. Since we know that QS is 9, let's substitute PQ + 9 in and solve.
[tex]PQ+9=20\\PQ=11[/tex]
help me with this, correct answer get brainliest
Answers
Answer:
B
Step-by-step explanation:
Use the bisection method to find solutions accurate to within 10−2 for x 4 − 2x 3 − 4x 2 4x 4 = 0 on each interval.
(a) [−2, −1].
(b) [0, 2].
(c) [2, 3].
(d) [−1, 0].
Answers
The solution accurate to equation within [tex]10^{-2}[/tex] for [tex]x^{4}-2x^{3} -4x^{2} +4x+4=0[/tex] lies in [0,2].
Given the equation [tex]x^{4}-2x^{3} -4x^{2} +4x+4=0[/tex] and range is [tex]10^{-2}[/tex].
We are required to find the interval in which the solution lies.
The attached table shows the iterations. At each step, the interval containing the root is bisected and the function value at the mid point of the interval is found. The sign of its relative to the signs of the function values at the ends of the interval tell which half interval contains the root. The process is repeated until the interval width is less than [tex]10^{-2}[/tex].
Interval:[0,2], signs [+,-],mid point:1, sign at midpoint +.
[1,2] 3/2
[1,3/2] 5/4
The rest is in the attachment. The listed table values are the successive interval mid points.
The final midpoint is 181/128=1.411406.
This solution is within 0.0002 of the actual root.
Hence the solution accurate to equation within [tex]10^{-2}[/tex] for [tex]x^{4}-2x^{3} -4x^{2} +4x+4=0[/tex] lies in [0,2].
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Select the correct answer.
What is the solution to the equation?
2(x + 7) = 8
OA. -15 and 1
OB. -15
OC. 1
OD.
no solution
Answers
Answer:
Option D is correct.
No solution
Step-by-step explanation:
2(x+7)=8
Apply 2 into bracket:
2x+14=8
2x=8-14
2x=-6
Divide both sides by 2:
x=-3
hence here is no option for x=-3, so answer is no solution.
Charlie began hiking from her campsite back to her car. Her campsite was located 9 miles from her car. She had walked for 1 hour and was 2 miles from her campsite when she realized she had forgotten her water bottle. She hurried back to her campsite in 0.5 hours, collected her water bottle, and rested for 0.5 hours. Then she began hiking back to her car at a quicker pace. She hiked for 3 more hours before she reached her car. Which graph represents Charlie's distance from her car at different times?
Answers
The Distance - Time graph that represents that represents Charlie's trip is attached accordingly.
What is a Distance - Time Graph?A distance-time graph can be used to illustrate the distance traveled by an item moving in a straight line.
The gradient of the line in a distance-time graph equals the speed of the item. The quicker the item moves, the higher the gradient (and the steeper the line).
What is the use of a Distance - Time Graph?Some of the uses of the distance-time graph are;
The position of the object at a time can be detected using the distance - time graphThe D-T Graph can provide the speed at which a person or an object is traveling.Learn more about Distance - Time Graph:
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answer????? with steps
Answers
=600x5
=3000
Identify the slope of a line perpendicular to the given line Y=2x-4
Answers
[tex]m = \frac{ - 1}{a} = \frac{ - 1}{2} \\ y = \frac{ - 1}{2} x + b[/tex]
What is the next number in the arithmetic sequence below??
I think it's D but I'm not sure.
Answers
someone help me out please
Answers
Answer:
[tex]\displaystyle x=\frac{5}{4},\;\;1\frac{1}{4}, \;\; or \;\; 1.25[/tex]
Step-by-step explanation:
To solve for x, we need to isolate the x variable.
Given:
[tex]\displaystyle x+\frac{1}{2} =\frac{7}{4}[/tex]
Subtract [tex]\frac{1}{2}[/tex] from both sides of the equation:
[tex]\displaystyle (x+\frac{1}{2})-\frac{1}{2} =(\frac{7}{4})-\frac{1}{2}[/tex]
[tex]\displaystyle x=\frac{7}{4}-\frac{1}{2}[/tex]
Now, we will create common denominators to simplify.
[tex]\displaystyle x=\frac{7}{4}-\frac{2}{4}[/tex]
[tex]\displaystyle x=\frac{5}{4}[/tex]
Find the radius of convergence, then determine the interval of convergence
Answers
By the ratio test, the series converges for
[tex]\displaystyle \lim_{k\to\infty} \left|\frac{(x+2)^{k+1}}{\sqrt{k+1}} \cdots \frac{\sqrt k}{(x+2)^k}\right| = |x+2| \lim_{k\to\infty} \sqrt{\frac k{k+1}} = |x+2| < 1[/tex]
so that the radius of convergence is 1, and the interval of convergence is
|x + 2| < 1 ⇒ -1 < x + 2 < 1 ⇒ -3 < x < -1
The radius of convergence R is 1 and the interval of convergence is (-3, -1) for the given power series. This can be obtained by using ratio test.
Find the radius of convergence R and the interval of convergence:Ratio test is the test that is used to find the convergence of the given power series.
First aₙ is noted and then aₙ₊₁ is noted.
For ∑ aₙ, aₙ and aₙ₊₁ is noted.
[tex]\lim_{n \to \infty} |\frac{a_{n+1}}{a_{n} }|[/tex] = β
If β < 1, then the series convergesIf β > 1, then the series divergesIf β = 1, then the series inconclusiveHere [tex]a_{k}[/tex] = [tex]\frac{(x+2)^{k}}{\sqrt{k} }[/tex] and [tex]a_{k+1}[/tex] = [tex]\frac{(x+2)^{k+1}}{\sqrt{k+1} }[/tex]
Now limit is taken,
[tex]\lim_{n \to \infty} |\frac{a_{n+1}}{a_{n} }|[/tex] = [tex]\lim_{n \to \infty} |\frac{(x+2)^{k+1} }{\sqrt{k+1} }/\frac{(x+2)^{k} }{\sqrt{k} }|[/tex]
= [tex]\lim_{n \to \infty} |\frac{(x+2)^{k+1} }{\sqrt{k+1} }\frac{\sqrt{k} }{(x+2)^{k}}|[/tex]
= [tex]\lim_{n \to \infty} |{(x+2) } }{\sqrt{\frac{k}{k+1} } }}|[/tex]
= [tex]|{x+2 }|\lim_{n \to \infty}}{\sqrt{\frac{k}{k+1} } }}[/tex]
= [tex]|{x+2 }|[/tex] < 1
- 1 < [tex]{x+2 }[/tex] < 1
- 1 - 2 < x < 1 - 2
- 3 < x < - 1
We get that,
interval of convergence = (-3, -1)
radius of convergence R = 1
Hence the radius of convergence R is 1 and the interval of convergence is (-3, -1) for the given power series.
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A man left rs 1,800,000 as inheritance.his heirs are 6 daughters and 2 sons.find the share of each heir
Answers
Answer:$225,000 each
Step-by-step explanation: Assuming that they each get an equal share of the inheritance, there are 8 shares of the inheritance so we divided the $1.8m by 8 which equals $225,000 each.
