Based on the box-and-whisker plot shown below, match each term with the correct value.
(1)Median
a0
(2)Range
a1
(3)25th percentile
a2
(4)75th percentile
a3
(5)Inter-quartile Range
a4
Answers
range -- highest number - lowest number = 21 - 15 = 7
25th percentile (Q1) -- the beginning of the box = 17
75th percentile (Q3)-- the end of the box = 20
Interquartile range -- Q3 - Q1 = 20 - 17 = 3
Median will be 18, Range will be 15 to 21, 25th percentile will be 15 to 17, 75th percentile 15 to 20, and Inter-quartile Range will be 17 to 20.
What is a box-and-whisker plot?Solid lines on either outside of the rectangle represent the minimum and maximum interquartile range.
Based on the box-and-whisker plot shown below.
1) Median will be 18.
2) Range will be 15 to 21.
3) 25th percentile will be 15 to 17.
4) 75th percentile 15 to 20.
5) Inter-quartile Range will be 17 to 20.
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Related Questions
If Juan drives 50 mph for 1.5 hours and then 70 mph for 0.5 hours, then how far did he drive?
Answers
50 miles = 1 hr
25 miles = .5 hr
so that makes 75 miles so far
70/2 = 35 = .5 hr
75+35
110 miles
Juan drove 110 miles for a total of two hours
The total distance that he drive is:
110 miles.
Step-by-step explanation:We know that the distance is defined as the product of speed and time.
i.e.
[tex]Distance=Speed\times Time[/tex]
It is given that:
Juan drives 50 mph for 1.5 hours.
This means that at this rate the distance traveled by him is:
[tex]Distance_1=50\times 1.5\\\\i.e.\\\\Distance_1=75\ miles[/tex]
and he travels at the rate of 70 mph for 0.5 hours.
This means that the distance traveled by him at this rate is:
[tex]Distance_1=70\times 0.5\\\\i.e.\\\\Distance_1=35\ miles[/tex]
Hence, the total distance that he drive is:
[tex]Total\ distance=Distance_1+Distance_2\\\\Total\ distance=75+35\\\\i.e.\\\\Total\ distance=110\ miles[/tex]
In the cafeteria 100 milk cartons were put out for breakfast. at the end of breakfast 27 remained what is the number of milk cartons taken to the total number of mil cartons
Answers
total number of milk cartons : 100
ur answer is 73/100 or 73:100 or 73 to 100
Which of the following statements says that a number is between -3 and 3?
A. |x| < 3
B. |x| > 3
Answers
Answer:
A. |x| < 3
Step-by-step explanation:
The absolute value of a number is the value that a number has beyond its sign. This means that the absolute value is the numerical magnitude of the number regardless of whether its sign is positive or negative. Formally, the absolute value of any real number x, is defined by:
[tex]|x|=\left \{ {{x,\hspace{3}if\hspace{3}x\geq0} \atop {-x,\hspace{3}if\hspace{3}x<0}} \right.[/tex]
In this sense, to satisfy the inequality [tex]|x|<3[/tex], the domain of x must be:
[tex]-3<x<3\\\\or\\\\(-3,3)[/tex]
Because for [tex]x<-3[/tex] or [tex]x>3[/tex] the inequality is absurd. For example if x=-4
[tex]|-4|=4<3[/tex] which is not true.
and for x=4
[tex]|4|=4<3[/tex] which is not true.
On the other hand to satisfy the inequality [tex]|x|>3[/tex], the domain of x must be:
[tex]-3>x>3\\\\or\\\\(-\infty,-3)\cup(3,\infty)[/tex]
Because for [tex]x<3[/tex] the inequality is absurd. For example if [tex]x=2[/tex]
[tex]|2|=2>3[/tex] which is not true.
and for x=-1
[tex]|-1|=1>3[/tex] which is not true.
Therefore the correct statement is:
A. |x| < 3
288 miles on 12 gallons of fuel; 240 miles on 10 gallons of fuel
Answers
Ratio: 24:1
They are proportional.
Hope this helped!
What is 4h-3 expression factored
Answers
This is not factor-able.
-No Common Factors, other than "1"
-Not a difference in squares
-Can't group
You can factor:
1(4h-3)
But, this is useless.
Hope this helps.
-Benjamin
One of the factors of p^5 - 144p^3 is
A. P^3
B. P + 12
C. P - 12
D. All of the above
Answers
= p^3(p^2 - 144)
= p^3(p + 12)(p - 12)
answer
D. All of the above
The factors are below
p^3(p^2-144)
p^3(p-12)(p+12)
Which answer gives the number and type of solutions to the equation x2+14x+49=0 ?
Answers
(x + 7) (x + 7) = 0
x = -7
The quadratic equation[tex]x^2 + 14x + 49 = 0[/tex]factors into [tex](x + 7)^2 = 0[/tex], yielding one real repeated solution, x = -7. This means the graph of the quadratic function touches the x-axis at precisely one point.
The given equation [tex]x^2 + 14x + 49 = 0[/tex] is a quadratic equation and can be factored or solved using the quadratic formula.
However, this particular equation is a perfect square trinomial because the constant term 49 is the square of 7 and twice the product of 7 and the linear coefficient 14 is equal to the middle term 14x.
[tex]x^2+2*7*x+7^2=0[/tex]
Therefore, the equation can be factored as
(x + 7)^2 = 0.
To find the solution, we set the factor equal to zero:
(x + 7) = 0
(x + 7) = 0
This equation has one unique solution, x = -7, which means the quadratic equation has one real repeated solution.
In the context of the number and type of solutions, it means the graph of the quadratic function touches the x-axis at one point (x = -7) and does not cross it.
James ran at a rate of 11.5 km per hour. What was james' speed in miles per hour? (NOT TO BE SOLVED. Needs to be an equation)
Answers
1km = 0.621371 miles
so equation is
total miles per hour = 11.5km * 0.621371
(12, 10) , (-2, r) , m= -4
Answers
m= (y1-y2)/(x1-x2)
10-r/12+2 = -4
10-r =-4(12+2)
10-r = -48-8
10+56 = r
66 = r
Hope I helped :)
The value of r such that the slope associated with two points (12, 10), (-2, r) is -4 is 66.
What is the slope?A slope is a tangent or angle at a point and a slope is the intensity of inclination of any geometrical lines.
Slope = Tanx where x will be the angle from the positive x-axis at that point.
Given two points,
(12, 10) , (-2, r)
The slope associated with (x₁, y₁) and (x₂, y₂) →
Slope(m) = (y₂ - y₁)/(x₂ - x₁)
So,
m = (r - 10)/(-2-12)
(r - 10)/(-14) = -4
r - 10 = 56
r = 66
Hence "The value of r such that the slope associated with two points (12, 10), (-2, r) is -4 is 66".
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If a person wanted to purchase their dream car, and keep it for many years, should they lease or buy? Why? (Site 1)
Answers
Buying an asset or a vehicle means paying off the entire sum of money that is the cost of the asset at the time of its purchase.
Leasing an asset means purchasing an asset by not paying the entire sum of money at the time of purchasing, rather paying in the form of rent over the period of time.
If a person wants to purchase his dream car for keeping for many years, then Buying Option is better because the payment of the overall cost in buying will be less than leasing.
This will also provide benefit that at the time of sale the owner will be paid off higher value of car as compared to car taken on lease.
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If a person wants to purchase their dream car and keep it for many years, it is generally recommended to buy rather than lease. Buying a car provides long-term ownership, customization options, and potential resale value, while leasing offers lower monthly payments but no ownership.
Explanation:If a person wants to purchase their dream car and keep it for many years, it is generally recommended to buy rather than lease. Here are the reasons why:
Ownership: When you buy a car, you become the owner and have the freedom to modify or personalize the vehicle as you wish. Leasing, on the other hand, only provides temporary possession of the car.Long-term cost: Buying a car may have higher upfront costs, such as a down payment and monthly loan payments, but in the long run, you will own the vehicle. Leasing involves lower monthly payments, but you will not own the car at the end of the lease term.Resale value: Owning a car allows you to build equity over time. You can sell the car later and recoup some of the cost. Leasing does not provide this opportunity.In conclusion, buying a car is a better option if you want long-term ownership and the ability to customize the vehicle. Leasing may be suitable for those who prefer lower monthly payments and don't want to commit to long-term ownership.
Convert the following: 22km = ________m A. 0.022 B. 2.2 C. 22 D. 22,000
Answers
1km = 1000 m
22*1000 = 22,000
Answer is D. 22,000
12 cot2(x) = 4 find all values of x in the interval [0, 2π] that satisfy the equation
Answers
so, [tex]x= \pi/3 \\ x = \pi - \pi/3 = 2\pi/3 \\ x = \pi + \pi/3 = 4\pi/3 \\ x = 2\pi - \pi/3 = 5\pi/3 [/tex]
Final answer:
To solve 12 cot2(x) = 4, we simplify and use properties of the tangent function. The solution is x = π/3, 2π/3, 4π/3, and 5π/3 within the interval [0, 2π].
Explanation:
To solve the trigonometric equation 12 cot2(x) = 4, we first simplify it to find cot2(x) = 1/3 by dividing both sides by 12. To find cot(x), we take the square root of both sides, giving us cot(x) = ±1/√3. Remember that cot(x) is the reciprocal of tan(x), so we now have tan(x) = ±√3.
To find the values of x that satisfy this equation within the interval [0, 2π], we look at the unit circle. The tangent function is positive in the first and third quadrants and negative in the second and fourth quadrants. Therefore, for tan(x) = √3, x = π/3, 4π/3, and for tan(x) = -√3, x = 2π/3, 5π/3. These are the values of x in the given interval that satisfy the equation.
find the product of: (x+3vs)(2x+3vs)
Answers
1/2(2d+6)=p solve for d
Answers
2d = 2p - 6
d = (2p - 6)/2
d = p - 3
Hope this helps!
Real world equation that can be modeled by the equation y=1/20x
Answers
The bakers healthy bakery can make 160 bagels in 5 hours. a.how many can they make in 1 hour? B.How many can they make in 12 hours?
Answers
B) Now take 160/5 and set the denominator equal to 12. 5 times 2.4 equals 12, so then multiply 160 times 2.4 = 384 bagels in 12 hours. Hope this helps!
For the second part you multiply B: 32x12=384
so 384 bagels in 12 hours.
Find an equation of the set of all points equidistant from the points a(−1, 6, 3) and b(4, 3, −2).
Answers
the set of all points M (x,y) equidistant from the points A(−1, 6, 3)
and B(4, 3, −2):
MA = MB or MA² = MB²
an equation is :
(x+1)²+(y -6)²+(z - 3)² = (x - 4)² +(y -3)² + (z+2)²
Multiply.
(21)⋅(−7)
−147
−14
14
147
Answers
Answer:
-147
Step-by-step explanation:
How many seconds are in 9 hours
Answers
9 h = 3600 × 9 sec
9 h = 32400 sec
The equation of a circle is x^2 + y^2 + Cx + Dy + E = 0. If the radius of the circle is decreased without changing the coordinates of the center point, how are coefficients C, D, and E affected?
A) C, D, and E are unchanged.
B) C increases, but D and E are unchanged.
C) C and D decrease, but E is unchanged.
D) C, D, and E increase.
E) C and D are unchanged, but E decreases.
Answers
x and y are the center point so since C and D are multiplied by x an y they would remain the same
E = the center points squared plus the radius squared.
Since the radius is getting smaller E would also decrease
Answer is E
Answer D:
The circle having (a,b) as center and R as radius has for equation:
(x-a)²+(y-b)²=R²
==>x²+y²-2ax-2by+a²+b²-R²=0
If R decreases then a²+b²-R² increases.
C and D are unchanged and E increases
Which variable is most important to the following problem? At 9:00 a.m., a wind speed of 20 miles per hour was recorded. After that, the wind speed was recorded every hour. Each measurement showed an increase in wind speed of 3 miles per hour. The strongest wind was recorded at 4:00 p.m. After that, the wind speeds started to decrease. What was the top wind speed? A. the time of day the first measurement was made B. the miles-per-hour speed of the wind at its maximum point C. the number of hours it took for the wind speed to reach its minimum for the day
Answers
Final answer:
The most important variable to determine the top wind speed at 4:00 p.m. is B. the miles-per-hour speed of the wind at its maximum point. The calculation shows an initial speed of 20 mph at 9:00 a.m., with an increase of 3 mph each hour leading to a top speed of 41 mph at 4:00 p.m.
Explanation:
The variable most important to the problem of determining the top wind speed recorded is B. the miles-per-hour speed of the wind at its maximum point. To find the top speed, you can calculate the increase in wind speed from the initial measurement at 9:00 a.m. The wind was increasing by 3 miles per hour each hour until it reached its peak at 4:00 p.m.
Here is the calculation:
Top wind speed = Initial speed + (Increase per hour × Number of hours)
Top wind speed = 20 mph + (3 mph/hour × 7 hours)
Top wind speed = 20 mph + 21 mph
Top wind speed = 41 mph
The perimeter of a rectangle is 50 centimeters. the length of the rectangle is one more than 3 times the width of the rectangle. what are the dimensions of the rectangle
Answers
Length = 3w+1
The perimeter of the rectangle is 2l+2w=P
2(3w+1) + 2(w) = 50 [base equation]
6w+2+2w=50 [distribute the 2]
8w+2=50 [combine like terms]
8w=48 [subtract 2 from both sides]
w=6 [divide 8 from both sides]
Therefore, the width is 6 cm.
3(6)+1 is the length = 19 cm
The width of the rectangle is 6 centimeters and the length is 19 centimeters.
Explanation:To find the dimensions of the rectangle, we can assign variables to the length and width of the rectangle. Let's say the width is 'w' centimeters.
According to the information given, the length is '1 + 3w' centimeters. The perimeter of a rectangle is the sum of all its sides, so we can set up the equation: 2(length + width) = 50. Substituting the given expressions for length and width, we have: 2((1 + 3w) + w) = 50. Simplifying this equation, we get: 8w + 2 = 50. Solving for 'w', we find that the width of the rectangle is 6 centimeters. Substituting this value back into the expression for the length, we get: length = 1 + 3(6) = 19 centimeters.Therefore, the dimensions of the rectangle are width = 6 centimeters and length = 19 centimeters.
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Which figures are congruent? Will Give Brainliest Answer
A. B ≅D and A ≅C
B. B ≅D
C. B ≅D and E ≅F
D. B ≅D and E ≅F and A ≅C
Answers
There are 12 signs of the zodiac. how many people must be in a group before you are guaranteed that at least 6 of them have the same sign
Answers
Help plz someone give me an answer
Answers
"Solve for x: [tex]7x-4+x=12[/tex]"...
Add like terms.
[tex]8x-4=12[/tex]
Add 4 to both sides.
[tex](8x-4)+4=(12)+4[/tex]
Simplify.
[tex]8x=16[/tex]
Divide both sides by 8.
[tex](8x)/8=(16)/8[/tex]
Simplify.
[tex]x=2[/tex]
The variable is equal to 2.
Hope this helps.
-Benjamin
Ysidra paints a room that has 400 square feet of wall space in 2 and a half hours. at this rate, how long will it take her to paint a room that has 720 square feet of wall space?
Answers
The time taken to paint a room which has a wall space of 720 feet² is equal to [tex]4\frac{1}{2}[/tex] hours.
What is the unitary method ?
The unitary method is a method in which you find the value of one unit and then the value of required no. of units.
It is given that room is painted that has wall space of 400 feet². The time taken to paint this space is 2 and half hours.
So , the wall space painted per hour will be :
= 400 ÷ [tex]2\frac{1}{2}[/tex]
= 400 ÷ [tex]\frac{5}{2}[/tex]
= 400 × [tex]\frac{2}{5}[/tex]
= 160 square feet per hour
We have to find out the time taken to paint a room which has a wall space of 720 feet². So , this will be calculated by dividing 720 square feet wall space by the per hour painted wall space that is equal to:
= 720 / 160
= 4.5 hours
or
= [tex]4\frac{1}{2}[/tex] hours
Therefore , the time taken to paint a room which has a wall space of 720 feet² is equal to [tex]4\frac{1}{2}[/tex] hours.
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Is 0.245245245... a rational or irrational number?
Answers
Change the line 3x − 8y = 5 into slope-intercept form.
Answers
m=slope
b=y intercept
solve for y basically
3x-8y=5
minus 3x both sides
-8y=-3x+5
divide both sides by -8
[tex]y=\frac{3}{8}x-\frac{5}{8}[/tex]
3. Jocelyn needs to study two stars for her astronomy research. She has narrowed her choices down to four stars that are located on a straight line from earth. Star Distance from earth Star A 0.176 times 10 to the power of 18 km Star B 22.13 times 10 to the power of 16 km Star C 31.42 times 10 to the power of 14 km Star D 125.5 times 10 to the power of 15 km Jocelyn wants to study the two stars that are closest to each other. (a) Which two stars should she study? (b) What is the distance between the two stars? Show or explain your work.
Answers
A 176.0 times 10^15 km
B 22.13 times 10 to the power of 16 km =
2.213 x 10^15 km
C 31.42 times 10 to the power of 14 km =
3.142 x 10^15 km
D 125.5 times 10 to the power of 15 km
The recalculated list is now:
A 176.0 times 10^15 km
B 2.213 x 10^15 km
C 3.142 x 10^15 km
D 125.5 x 10^15 km
Just by looking, we can see the 2 stars closest to each other are
C 3.142 x 10^15 km and
B 2.213 x 10^15 km
The distance between them = 3.142 x 10^15 km -2.213 x 10^15 km
.929 x 10^15 km =
9.29 x 10^14 km
how many hours of training would you need to have a monthly pay of $2620
Answers
2620 /4 = 655 per week
suppose you work 40 hours per week
655/40 = $16.38 per hour
that is a good pay, but training all depends on the actual job.
some jobs don't require any training, some require 3 months or more.
it also depends on your education