What is the interquartile range of this data? 6 7 8 9 Box-and whisker plot titled Temperatures in Celsius ranging from 12 to 48 with the five number summary from left to right 18, 25, 28, 33, and 42
Answers
Hope this helps!
What is the interquartile range of this data? 6 7 8 9 Box-and whisker plot titled Temperatures in Celsius ranging from 12 to 48 with the five number summary from left to right 18, 25, 28, 33, and 42
Solution:
The problem is not clear.
But, considering data set is:
18,25,28,33,42
So, if we consider the data set, Interquartile Range is the difference of Quartile3-Quartile1
IQR=Q3-Q1
To find, Q1 and Q3. Let us find the median, or, Q2 first.
Median is the middle term of the data set.
So, Median, Q2=28
Q1 is the median of first half of the data set. That is, 18,25,28
So, Lower Quartile, Q1=25
Q3 is the median of second half of data set. That is, 28, 33,42
So, Upper Quartile, Q3=33
IQR=Q3-Q1
=33-25=8
Answer: IQR=8
If we consider data set: 6,7,8,9
Median, Q2=[tex] \frac{(7+8)}{2}=\frac{15}{2} [/tex]=7.5
Lower Quartile, Q1=6.25
Upper Quartile, Q2=8.75
IQR=Q3-Q1=8.75-6.25=2.5
IQR=2.5
Related Questions
I WAS ONLY ABLE TO SELECT 40 PTS THIS TIME, PLS ANSWER THIS ONE IT HAS THE PICTURE WITH IT.
In the figure, lines a and b are parallel.
Which statements are true?
Select each correct answer.
MORE THAN ONE ANSWER
m∠2=m∠1
m∠2=105°
m∠1=75°
m∠3=m∠1
Answers
The second one is wrong.
the third one is right.
The forth one is wrong.
180 - 105 = 75°
∠1 = 75°
∠1 and ∠2 are corresponding angles, and so there measurements will be the same
∠1 = ∠2
∠1 = 75°
∠2 = 75°
105° and ∠3 are same side, and are corresponding angles. Therefore, ∠3 = 105°
m∠1=75°
180° (the measurement of a straight angle).
Subtract the 105° (given) from the straight angle
180 - 105 = 75
m∠1=75°
hope this helps
For the function y = -2x + 20, what is the output when the input is 50.
Answers
Input 50
Y=-2(50)+20
Y=-100+20
y=-80
I hope this helps :) feel free to ask if you need anything cleared up
On average, for every 15 points scored by his basketball team, Riley scores 4 of them. About how many points would you expect Riley to score in a game where his team had a final score of 90 points?
Answers
A hyperbola centered at the origin has a vertex at (9, 0) and a focus at (−15, 0).
Which are the equations of the asymptotes?
Answers
[tex]\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1[/tex]
Asymptotes:
[tex]y = \pm \frac{b}{a} x[/tex]
'a' is distance vertex is from center --> a = 9
'c' is distance focus is from center --> c = 15
[tex]a^2 + b^2 = c^2 \\ \\ b^2 = 15^2 - 9^2 = 144 \\ \\ b = 12[/tex]
Asymptotes are:
[tex]y = \pm \frac{12}{9} x = \pm \frac{4}{3} x[/tex]
Answer:
C
Step-by-step explanation:
A number is multiplied by 6. If 8 is subtracted from the product you get 34.
What is the number?
A-4
B-6
C-7
D-8
Answers
You can make an equation based on what you know
A number multiplied by 6
x * 6
Subtracted by 8
x * 6 - 8
You get 34
x * 6 - 8 = 34
Now you solve it algebraically
Add 8 to both sides
x * 6 = 42
Divide both sides by 6
x = 7
The answer is C) 7
Hope this helps!
Which kind of function best models the data in the table? Use differences or ratios.
x y
0 1.7
1 6.8
2 27.2
3 108.8
4 435.2
Answers
The line represented by y = 3x − 6 and a line perpendicular to it intersect at R(3, 3). What is the equation of the perpendicular line?
A)y=-1/3x +4
B)y=1/3x + 7/3
C)y=-1/2x +5/2
D)y=-3x + 5
Answers
opposite slop
Flip the original slop and change the sign
The equation gonna be like (A)
y-intercept is doesn't matter same or different
hope it's help
The surface area of a sphere is 200.96 square centimeters. What is the approximate volume of the sphere?
Answers
The approximate volume of the sphere is 266.19 cubic centimeters.
To find the approximate volume of a sphere from its surface area, we will use the relationship between the surface area and radius of the sphere and then apply the formula for the volume. The surface area (A) of a sphere is given by the formula A = 4πr2, and the volume (V) is given by the formula V = (4/3)πr3. Given that the surface area of the sphere is 200.96 square centimeters, we can solve for the radius (r) first:
A = 4πr2
=> r2 = A / (4π)
=> r2 = 200.96 / (4π)
=> r = √(200.96 / (4π))
=> r ≈ 3.99 cm (after calculating using a calculator)
Now that we have the radius, we can find the volume:
V = (4/3)πr3
=> V = (4/3)π(3.99 cm)3
=> V ≈ 266.19 cm3 (after calculating using a calculator)
Therefore, the approximate volume of the sphere is 266.19 cubic centimeters.
I got 4/7s + 5/7 But I’m not sure if that’s correct
Answers
2/7(2s + 3)
Simplify by by using the rainbow tactic.
(2/7 × 2s) + (2/7 × 3)
Simplify.
**Remember : 2s is the same as 2/1s and 3 is the same as 3/1**
(2/7 × 2/1s) + (2/7 × 3/1)
Simplify.
4/7s + 6/7
~Hope I helped!~
WILL GIVE BRAINLIEST
FIND VOLUME
60 is the area of the base
Answers
First of all, V (prism) = area of base (B) × h
We know that the height (h) of this prism is given, which we'll need later on: h = 5 ft, and area of base (B) is given as 60 ft2
So V = 60 ft2 × 5 ft = 300 ft3
So now for the hard part... how to calculate the SA of this prism
IF YOU DON'T NEED SA FOR THIS TYPE OF PROBLEM, DO NOT PROCEED!!!
[VERY DETAILED]
means solving the dimensions (sides) of that pesky polygon base (B) or lid.
The most important things about polygons are:
1) is it regular (same angle ° and side length)??
2) How many sides or angles??
This has to be regular, because they give you no other info so it has to be, in order to solve. And then it has 5 sides and angles = regular pentagon. ("penta" means 5).
Now there are 360° in any circle, so:
take the central angles of where the sides meet at the center forming triangles (see drawing above), each of those (5) central <'s = 360/5 = 72°
Now the apex of each of these triangles = 72°
but with our 5 triangles, we need to find the height of each triangle -- which is the midpoint of the side (base (b) of triangle), and h is perpendicular to this b. By bisecting that apex angle of 72, it forms 2 equal right triangles of
72/2 = 36°. So each right triangle has 36, 90, and?? 180-36-90 = 90-36 = 54°
let's call the base (b) = 1 side of pentagon
= side (s)
Therefore (see 2nd image drawn above) tangent (tan) of € = opposite/adjacent, or
tan (54) = h÷1/2b --> h = [tan (54)]×(1/2)b
1/2b = h/[tan (54)] = h/1.38
Also the area of each of the larger 5 triangles A(t) = 1/2b×h, and that area A(t) × 5 = area of whole pentagon base A(B)
So now after all that... our A(B) given at beginning = 60ft2. let's put it all together:
1/2b = h/[tan (54)] = h/1.38
A(t) = 1/2b×h, and A(B) = 5×A(t)
which means that A(B) = 5×(1/2b×h)
AND since the other calculation shows that 1/2b = h/1.38, plug that value into the A(B) formula...
.
.
.
now that we have height (h) of each triangle, we can go back to our tan equation for the triangle: tan (54) = 1.38 = h/(1/2b)
--> 1/2×b = h/1.38 --> base (b) = 2h/1.38
b = 2(4.06 ft)/1.38 = 8.12 ft/1.38 = 5.90 ft, for which b us also the width of each rectangular side panel (w)
length (l) of these sides was given as height of the whole prism = 5 ft
NOW FINALLY... THE FINAL SURFACE AREA OF THE PRISM (SA) = (2×A(B)) + (5×rectangular side)
SA = (2×60 ft2) + (5×(l×w)) = 120 ft2 + 5×5ft×5.9ft
SA = 120 ft2 + 147.62 ft2 = 267.62 ft2
Answer:
300 ft³
Step-by-step explanation:
Volume = Area of base × height
Volume = 60ft² × 5ft
Volume = 300 ft³
Sal wants to know if he has enough money to buy 4 gallons of gas if he has 15$ and each gallon of gas costs 3.29$ which is a good estimate for weather sal will be able to afford 4 gallons of gas ?
Answers
15 = 3.29x
Before we start solving,, we need to plug the 4 gallons in for x.
15 = 3.29(4)
Now multiply the numbers on the right side.
15 = 13.16
This show us that the cost of 4 gallons is less than $15,, which means that Sal will be able to afford 4 gallons of gas.
Let me know if you have any further questions.
:)
A car wash machine cleaned 20 cars in 50 minuets at this rate how many minutes will it take the machine to clean 1 car
Answers
x: time in minutes
y: number of clean cars
We then have the following equation:
y = (20/50) x
For 1 car we have:
1 = (20/50) x
Clearing x:
x = 50/20
x = 2.5 minutes
Answer:
It will take the machine to clean 1 car about:
x = 2.5 minutes
The machine will take 2.5 minutes to clean 1 car.
Explanation:To find the number of minutes it will take the machine to clean 1 car, we can use the concept of ratios. If the machine cleaned 20 cars in 50 minutes, we can set up a ratio:
20 cars / 50 minutes = 1 car / x minutes
Using cross-multiplication, we can solve for x:
20x = 50
x = 50 / 20 = 2.5 minutes
Therefore, it will take the machine 2.5 minutes to clean 1 car.
Which equation in point-slope form contains the points (6, 2) and (2, 4)? A -4=-1/2(x-6) B y – 4 = –2(x – 2) C y-2=-1/2(x-6)
Answers
The equation for point-slope form is
y - b = m(x - a)
m is the slope
(a, b) is a point the line passes through
We are looking for a equation that follows this
The answer is C because a point the line goes through is (6, 2)
The answer is C
Hope this helps!
Calculate the length b to two decimal places A) 890.68 B) 36.99 C) 36 D) 29.84
Answers
we know that
the law of cosines established that
b² = a² + c² − 2ac cos(B)
in this problem
a=22 units
c=14 units
B=110°
b² = 22² + 14² − 2*22*14*cos(110°)----> b²=890.68------> b=29.84 units
the answer is the option
D) 29.84
The price of buying gasoline varies directly with the number of gallons bought.If five gallons of gas cost $17.50,what is the rate of change of this linear equation.
Answers
$2,400 principal earning 2%, compounded annually, after 7 years
Answers
so i think the answer is 14 lol i could be wrong i did this so long ago...
Answer:
The answer is 2,765.85 dollars. Thanks.
Step-by-step explanation:
Solve for x. Round your answer to 2 decimal places.
Select one:
a. 7.55
b. 15.44
c. 19.07
d. 9.33
Answers
[tex]x = \dfrac{12}{ \cos (51)} [/tex]
[tex]x = 19.07[/tex]
Answer: x = 19.07 (Answer C)
The English Alphabet has 20 letters more than one-fourth the number of letters in the Greek Alphabet. The English Alphabet has 26 letters. Which of the following equations would you use to find the number of letters, g, in the Greek Alphabet?
Answers
Greek Alphabet = g
The English Alphabet has 20 letters more than one-fourth the numbers of letters in the greek alphabet: 1/4g + 20 = e
The English has 26 letters.
Plug in 26 for e
1/4g + 20 = 26
Isolate the g, do the opposite of PEMDAS. Note the equal sign. What you do to one side you do to the other.
Subtract 20 from both sides
1/4g + 20 (-20) = 26 (-20)
1/4g = 26 - 20
1/4g = 4
Multiply 4 to both sides to isolate the g
1/4(4)g = 4(4)
g = 4(4)
g = 16
The Greek Alphabet has 16 letters
hope this helps
sally is comparing the prices of two window cleaning companies. company A charges $7 per window and ajbadditional $12 as service charges. company B charges $5 per window and an additional $15 as service charges. Part A: write an equation to represent each company’s total charges for cleaning a certain number of windows, for both equations (one for company A and one for company B), define the variable used . Part b: how much would company A AND company B each charge for cleaning 8 windows ?
Very quick please
Answers
Company B: 5w+15
Part B:::
company a would charge $68
and company B would charge $55
Mei puts 600.00 in an account to use for school expenses . The account earns 10% interest , compound quarterly. How much interest will he have earned after 6 years
Answers
Hope this helped:D
What is the trigonometric ratio for cos D?
Answers
The definition of the cosine:
[tex] \cos( \alpha ) = \frac{adjecent}{hypotenuse} [/tex]
When we fill in this formula with the data from the picture, we get the following:
[tex] \cos(d) = \frac{21}{75} = \frac{7}{25} [/tex]
Therefore, the answer is 7 / 25
find the three arithmetic means in this sequence 14 and 26
Answers
(26-14)=12
hence
12/4=3
thus
d=2 and the missing means are:
26, 23,20,17,14
Find the LCD of the pair of expressions.
8/5b; 12/7b^3c
A) 7b^3c
B) 12b^3c^2
C) 35b^3c^2
D)'35b^3c
Answers
The LCD, least common denominator, is the smallest denominator that both denominators will go into. The LCD of 5 and 7 will be 35; the variable portion will be b³c, since that is the smallest thing the second fraction can go into.
This gives us a denominator of 35b³c.
Find k if 64 ÷ k = 4
Answers
Let's solve this problem step by step!
[tex]64 \div k = 4[/tex]
Multiply both sides by k.
[tex]64 = 4k[/tex]
Switch sides.
[tex]4k = 64[/tex]
Divide both sides by 4.
[tex]k = \frac{64}{4} = 16[/tex]
~ Hope this helps you!
There are 9 red gum balls, 5 green gum balls, 8 yellow gum balls, and 8 blue gum balls in a machine. find p(green, then yellow).
a. start fraction 40 over 900 end fraction
b. the term shows 5 over 30.
c. the term shows 8 over 30.
d. start fraction 40 over 870 end fraction
Answers
Green: 5/30
Yellow: 8/29 (you subtract one from the denominator because you already picked a green the first time)
5/30 x 8/29 = 40/870
The correct option is d. [tex]\( \frac{40}{870} \)[/tex]
To find the probability of selecting a green gum ball followed by a yellow gum ball, we first calculate the total number of gum balls and then determine the number of ways to select a green gum ball followed by a yellow gum ball.
[tex]\text{Total number of gum balls} = 9 (red) + 5 (green) + 8 (yellow) + 8 (blue) = 30[/tex]
Number of ways to select a green gum ball followed by a yellow gum ball:
There are [tex]5[/tex] green gum balls and [tex]8[/tex] yellow gum balls.
Therefore, the number of ways to select a green gum ball followed by a yellow gum ball is [tex]\(5 \times 8 = 40\)[/tex]
The probability of selecting a green gum ball followed by a yellow gum ball is the number of ways to select them divided by the total number of gum balls:
[tex]\[ P(\text{green, then yellow}) = \frac{40}{30 \times 29} \][/tex]
[tex]\[ P(\text{green, then yellow}) = \frac{40}{870} \][/tex]
The length of a rectangle is increase by 25%. to keep the area of the rectangle the same, by what percent must the width be decreased
Answers
A square can be changed into a rectangle by increasing the length of the square by 5 units and increasing the width by 3 units. which expression represents the area of the rectangle in square units?
Answers
The area of the rectangle that was transformed from a square by increasing the length by 5 units and the width by 3 units is given by the expression (a + 5)(a + 3), or when expanded a² + 8a + 15.
Explanation:Given that the original shape was a square, the length and width of the square are the same. Let's denote this common length as 'a'. When transformed into a rectangle, the length was increased by 5 units and the width increased by 3 units. Therefore, the new length and width of the rectangle are 'a + 5' and 'a + 3' respectively.
The area of a rectangle is calculated by multiplying its length by its width. Therefore, the area of the rectangle in square units is represented by the expression (a + 5)(a + 3), which when expanded gives a² + 8a + 15.
Learn more about Area of Rectangle here:https://brainly.com/question/15218510
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The area of a new rectangle formed from a square by increasing the length by 5 units and the width by 3 units is represented by the mathematical expression (side+5) * (side+3) in square units. This equation stems from the basic geometric formula of calculating the area by multiplying the length by the width.
Explanation:The area of a shape, such as a square or rectangle, is calculated by multiplying its length by its width. In the case of a square, where all sides are equal, the formula for area can be represented as side² or side * side. If we know the side of the square, and it is increased in length by 5 units and width by 3 units, we are essentially creating a rectangle now. The formula for the rectangle area changes to (side+5) * (side+3). So, if you have a square and you increase the length by 5 units and the width by 3 units, the expression that represents the area of the new rectangle in square units would be (side+5) * (side+3). For example, if side of the square was 5 units originally, upon modification, length of rectangle will be [tex]5+5 = 10[/tex] and width will be [tex]5+3 = 8[/tex]. So, area of rectangle becomes [tex]10*8 = 80[/tex] square units.
Learn more about Area Calculation here:https://brainly.com/question/34380164
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For the function shown below, find f(3): f(x)=2x^4-8x^2+5x-7
Answers
We have been given the function
[tex]f(x)=2x^4-8x^2+5x-7[/tex]
We have to find the value of f(3). In order to find the same, substitute x=3 in the given function.
[tex]f(3)=2(3)^4-8(3)^2+5(3)-7[/tex]
Now, we simplify this step by step.
First of all [tex]3^4=81\text{ and }3^2=9[/tex]. Thus, we have
[tex]f(3)=2\times 81 -8\times 9+5(3)-7[/tex]
Now, we can easily simplify it by PEMDAS
[tex]f(3)=162-72+15-7[/tex]
[tex]f(3)=98[/tex]
Therefore, the value of f(3) is 98.
Delia measured a doorway to be 1 meter wide. Which of these is a nearly equivalent measurement
A: 15 mi
B: 10.5 yrds
C: 3.3 ft
D: 98.7 in
Answers
To find a nearly equivalent measurement to 1 meter wide, the correct answer is C: 3.3 feet, as it is very close to 39.37 inches, the length of 1 meter in inches.
Explanation:To find a nearly equivalent measurement, we can examine the conversion between meters and other units of length. Based on the provided information, 1 meter is equivalent to 1.094 yards or 39.37 inches.
When comparing the options given:
15 miles (mi) is much larger than a meter and, therefore, not equivalent.10.5 yards (yrds) is significantly more than 1 meter, so it is not a close match either.3.3 feet (ft) can be checked by knowing that there are 12 inches in a foot, which would be equivalent to 39.6 inches, making this measurement very close to 1 meter.98.7 inches (in) would be more than twice the length of 1 meter since we know 1 meter is about 39.37 inches.Therefore, the answer that is nearly equivalent to 1 meter is C: 3.3 feet.
This is because 3.3 feet, when converted to inches (3.3 ft x 12 in/ft), is approximately 39.6 inches, which is very close to the 39.37 inches that make up 1 meter.
Final answer:
The most nearly equivalent measurement to 1 meter wide, among the provided options, is 98.7 inches (option D), as 1 meter equals approximately 39.37 inches.
Explanation:
Delia measured a doorway to be 1 meter wide. To find a nearly equivalent measurement in a different unit, we must look at the options provided and use unit conversion reference information:
1 m = 1.094 yd = 39.37 inches1 in. = 2.54 cmComparing the given options against the meter measurement:
A: 15 mi – This is substantially larger than a meter.B: 10.5 yrds – This is also considerably larger than a meter.C: 3.3 ft – This is approximately 1 meter since 1 yard (3 feet) is slightly less than a meter (1 m = 1.094 yd).D: 98.7 in – This is close to a meter (1 m = 39.37 inches).Thus, the most nearly equivalent measurement to 1 meter wide is option D: 98.7 inches.
PLSSSSS HELP :(
Determine whether the following pair of lines are parallel, perpendicular, or neither.
3x + 4y = 7 y = −2 − 34x
Answers
y = -34x - 2
4y = -3x + 7
y = (-3/4)x + 7/4
if the first equation is meant to b -3/4x - 2 then they are parallel