Answer:
The interquartile range for this data set is 3.
Step-by-step explanation:
We are given the data set : 3, 4, 4, 6, 7, 7, 9
In order to find the interquartile range, we can create a box plot for this data set. Each box plot contains a minimum, lower quartile, median, higher quartile, and maximum. Let's find the minimum and maximum before the others as it is the easiest one to identify. The minimum here would be 3 since that's the lowest number here in this data set. The maximum here would be 9 since that's the highest number here in this data set. Before we find the lower and higher quartile, let's find the median first since that way, we don't get mixed up between so many numbers. To find the median, you need to find the value that lies at the middle point throughout the data set. Since there are 7 values in this data set which is a odd number, all we need to do is cross out the first and last value as each set goes by.
3, 4, 4, 6, 7, 7, 9
4, 4, 6, 7, 7
4, 6, 7
6
The work above shows each set of the first and last value getting shorter and shorter, so the median of the data set would be 6. The values, 3, 4, and 9 have already been used. Now that we know the median, the second lowest number here is 4 (lower quartile) and the second highest number here is 7 (higher quartile). In order to find the interquartile range, you need to find the difference between the lower quartile and higher quartile, which means to subtract.
7 (higher quartile) and 4 (lower quartile) = 3 (interquartile range)
Therefore, the interquartile range for this data set is 3.
The probability distribution for a
random variable x is given in the table.
-5
3
-2
0
2
3
Probability
.17
.13
33
(16
.10
Find the probability that xs-3
There are only two possible outcomes in the table that satisfy x ≤ -3; either x = -5 or x = -3. Then
P(x ≤ -3) = P(x = -5) + P(x = -3) = 0.17 + 0.13 = 0.3
Below is the entire graph of function f graph f^-1, the inverse of f
The graph of the inverse of a function is its reflection across the line y = x
Please find attached the required graph created with MS Excel
The graph of the inverse of a function is reflected over the line y = x
In order to graph the function f⁻¹, either the line y = x is drawn and the points of f⁻¹ are traced by taking equal distance from the line y = x, or the x, and y-coordinates of the f are reversed to get the coordinates of f⁻¹ as follows;
The reflection of the point (x, y) across the line y = x is (y, x)
The vertices of the graph of the function f, staring from the top are;
(5, 6), (3, -3), (-3, -5)
Therefore, we have;
The reflection of the point (5, 6) across the line y = x is (6, 5)
The reflection of the point (3, -3) across the line y = x is (-3, 3)
The reflection of the point (-3, -5) across the line y = x is (-5, -3)
The graph of the function f⁻¹ can be plotted using MS Excel, and the above values, as shown in the attached diagram
Learn more about graphing the inverse of a function here:
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Help me please!!!!!!!!!!!!!!
Can someone talk to me please?
Answer:
hi
Step-by-step explanation:
Answer:
sure why not .
Hi!:D
Step-by-step explanation:
can I have brainiest
Brittany uses the ski machine and the treadmill at the gym for an exercise program. Her trainer wants her on an exercise program that meets these two conditions:
1) Brittany will exercise for at least 45 minutes and at most 1 hour and 15 minutes,
dividing her time between the ski machine and the treadmill.
2) Brittany will spend at least three times as much time on the treadmill as on the
ski machine.
a. Let x represent the time on the ski machine and y represent the time on the
treadmill. Write a system of inequalities that models the relationships between the
amounts of time Brittany spends on the two machines. You will have three
inequalities.
Answer:
Required inequalities are as following.
Brittany will exercise for at least 45 minutes:
x + y ≥ 45Brittany will exercise at most 1 hour and 15 minutes (= 75 min):
x + y ≤ 75Brittany will spend at least three times as much time on the treadmill as on the ski machine:
y ≥ 3xAnswer:
[tex]x + y = 5 \\ 5 \times 5 = 25[/tex]
Dawson's Garage charges $55 per hour to do car repairs plus the cost of the parts.
Part A
Write an equation to model this situation using h to represent the number of hours the repairs take, p to represent the cost of the parts and, cto represent the
total cost of the repairs.
Part B
What will the cost of the repairs be if the parts cost $142 and it takes 4 hours to do the repairs?
$
Answer:
Part A
c = p + 55h
Part B
$362
Step-by-step explanation:
Dawson's Garage charges $55 per hour to do car repairs plus the cost of the parts.
Part A
h = the number of hours
p = the cost of the parts
c = the total cost of the repairs.
The equation to model this situation is written as:
c = p + $55 × h
c = p + 55h
Part B
What will the cost of the repairs be if the parts cost $142 and it takes 4 hours to do the repairs?
From the above question:
p = $142
h = 4
Since our equation =
c = p + 55h
Hence,
c = 142 + 55 × 4
c = 142 + 220
c = 362
Therefore, the cost of repairs = $362
Find the value of x.
Answer:
5
Step-by-step explanation:
Using pythagoras theorem
Answer:
4056 is the correct answer I think
Step-by-step explanation:
13×13×24=4056
Can I get sum more help?
Answer:
184.96
Step-by-step explanation:
V = (base × height) ÷ 3
base = pi × radius^2
2 × pi × radius = circumference
2×pi×r = 29.516
÷2 ÷2
pi×r = 14.758
÷3.14 ÷3.14
r=4.7
base= 3.14 × 4.7^2
= 69.36
V = (69.36 × 8) ÷ 3 = 184.96
Graph the piecewise function.
Answer:
Y=32
Step-by-step explanation:
A rock climber is standing at the edge of a cliff looking down into a valley and sees a lion laying 120 feet from
the base of the cliff. The angle of depression of the rock climber to the lion is 35º. How high is the cliff in feet?
State if the triangles in each pair are similar.
Which is the expression 4 x 4 x4 x 3 x 3 x 2 x 2 x 2 x 2 written using
exponents?
area of isosces triangle formula
Answer:
area = height x Base/2
Step-by-step explanation:
Extend to find solutions that fit a second constraint in the formx *a, where inequality symbol and a is an integer. For example solve 3x + 4 >10, then find integers that satisfy bothx < 6 and 3x +4 >10.
Answer:
[tex]x = \{3,4,5\}[/tex]
Step-by-step explanation:
Given
[tex]3x + 4 > 10[/tex]
[tex]x < 6[/tex]
Required
Solve
We have:
[tex]3x + 4 > 10[/tex]
Collect like terms
[tex]3x > 10 - 4[/tex]
[tex]3x > 6[/tex]
Divide by 3
[tex]x > 2[/tex]
So, we have:
[tex]x > 2[/tex] and [tex]x < 6[/tex] i.e. between 2 and 6 (exclusive)
This implies that:
[tex]x = \{3,4,5\}[/tex]
1. A rubber ball consists of a sphere with 150 small cones protruding from the surface. The volume of the sphere is 50 cubic centimeters. Each cone has a radius of 0.2 centimeters and a height of 0.4 centimeters. What is the total volume of the ball? Round to the nearest hundredth.
A. 60.05 cm3
B. 2.51 cm3
C. 52.51 cm3
D. 50.02 cm3
2. A baker fills a piping bag with frosting to decorate a cake. The bag has the shape of a cone, and the frosting fills the bag to a height of 12 inches and diameter of 5 inches. Approximately what volume of frosting in cubic inches does the piping bag contain? Round to the nearest tenth.
A. 117.8 in3
B. 314.2 in3
C. 78.5 in3
D. 235.6 in3
3. A ski resort creates a three-dimensional model of its logo consisting of two cones. One of the cones has a radius of 6 feet and a height of 12 feet, and the other has a radius of 5 feet and is 23 the height of the first. What is the volume of the model? Round to the nearest hundredth.
A. 661.83 ft3
B. 496.37 ft3
C. 766.55 ft3
D. 1,985.49 ft3
Answer:
1. C. 52.51 cm3
2. C. 78.5 in3
3. A. 661.83 ft3
Step-by-step explanation:
just finished the quick check
A square room has a perimeter of 40 feet. What is the area of the room?
Answer:
100 ft²
Step-by-step explanation:
There are 4 congruent sides in a square
Perimeter = 4x
40 = 4x
x = 10
Area = base x height or length x width
Since all sides are the same, 10 is base and height
10x10 = 100
units = ft²
Answer = 100 ft²
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
100 feet (I forget area units so there might be an exponent or something)
Step-by-step explanation:
Basically, the formula for perimeter is the sum of all sides. With area, you are just multiplying length times width. With a square, all of the sides are equal, and there are four sides. 40/4=10. So, each side is 10 feet. With that, you can multiply 10*10 and get 100!
HELP!!! this is graded and no links plss!!!
Answer:
396 mm squared
Step-by-step explanation:
(8 x 12) ÷ 2 = 48
48 x 2 = 96
10 x 10 = 100
100 x 3 = 300
300 + 96 = 396
Answer:
396 mm squared is what I see
Elli painted two fourths of the fence. Nolan painted three eighths of the fence. How much of the fence did they paint
Answer:
7/8.
Step-by-step explanation:
What you need to do, is that you need to add 2/4 to 3/8. And then you get, 7/8!
Answer: 7/8
Step-by-step explanation:
help pls this is confusing me
Answer:
The probability is 1/10.
Step-by-step explanation:
Since there are 10 shirts in total, and only 1 red shirt, the probability of choosing a red shirt is 1/10.
It would be INSANLEY FANTABULOUS if I could receive brainliest!!!!!
Help me - prime factorization of 136
Answer:
136 = 2³ x 17.
Step-by-step explanation: Factors of 136: 1, 2, 4, 8, 17, 34, 68, 136. Prime factorization: 136 = 2 x 2 x 2 x 17, which can also be written 136 = 2³ x 17.
What is -7 + 1/3?
Answers:
-7 1/3
-6 2/3
6 2/3
7 1/3
Answer:
-6 2/3
Step-by-step explanation:
Answer
- 6 2 / 3
Step-by-step explanation:
answer is - 6 2/ 3
Clark is conducting and expermint in which he drains water form buckets. The buckets do not have the same amount of water. Bucket A loses water at the rate of 10 ml per minute. The table represents the water in bucket B. The graph represents the water in bucket C
Answer:
A - B - C
Step-by-step explanation:
Estimate the measure of the angle shown below.
85°
110°
95°
150°
Answer:
85 angle degree is the answer
Answer:
85 degrees
Step-by-step explanation:
The angle Looked like a acute angle and 85 degrees is the only choice there is of an acute angle
Drag each tile to the correct box. Amanda, Derrick, and Todd attend the same high school. Each student works as the cashier one night a week at the school's concession stand. The number of items sold at the concession stand to the first 20 customers on three different nights is represented on the dot plots below. Find the interquartile range, IQR, for each dot plot. Then, place the students in order from greatest to least IQR.
Answer:
Amanda > Todd > Derrick
Step-by-step explanation:
Amanda's IQR- 3.5
Derrick's IQR- 2
Todd's IQR- 3
The solution is, ordering the IQR in descending order :
Emma, Sally, Olivia
What is IQR?The interquartile range (IQR) contains the second and third quartiles, or the middle half of your data set. Whereas the range gives you the spread of the whole data set, the interquartile range gives you the range of the middle half of a data set.
here, we have,
Writing out the points obtained from the dot plot, and applying the relevant formula, the Interquartile range of each dot plot is given below ;
Writing out each score on the dot plot to calculate the statistical values :
Emma's Scores:
6 , 7 , 8 , 8 , 9 , 9 , 9 , 10 , 10 , 11 , 11 , 11 , 11 , 11 , 12 , 13 , 13 , 13 , 13 , 14
Q1 = 1/4(n+1)th term
Q1 = (5th + 6th) terms
Q1 = (9 + 9) / 2 = 9
Q3 = 3/4(n+)th term
Q3 = (12 + 13) ÷ 2 = 12.5
IQR = Q3 - Q1
IQR = 12.5 - 9 = 3.5
Sally's Scores:
6 , 6 , 6 , 7 , 7 , 8 , 8 , 8 , 9 , 9 , 10 , 10 , 10 , 10 , 10 , 10 , 11 , 11 , 12 , 12 , 14
Q1 = 1/4(n+1)th term
Q1 = (7 + 8) ÷ 2 = 7.5
Q3 = 3/4(n+1)th term
Q3 = (10 + 11) ÷ 2 = 10.5
IQR = Q3 - Q1
IQR = 10.5 - 7.5 = 3
Olivia's Scores:
6 , 6 , 7 , 7 , 7 , 8 , 8 , 8 , 8 , 9 , 9 , 9 , 9 , 9 , 10 , 10 , 12 , 12 , 13 , 14
Q1 = 1/4(n+1)th term
Q1 = (7 + 8) ÷ 2 = 7.5
Q3 = 1/4(n+1)th term
Q3 = (10 + 10) ÷ 2 = 10
IQR = Q3 - Q1
IQR = 10 - 7.5 = 2.5
Therefore, ordering the IQR in descending order :
Emma, Sally, Olivia
Learn more on IQR :
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#SPJ3
complete question:
Drag each tile to the correct box.
Emma, Sally, and Olivia play for the school basketball team. The dot plots show the number of points each of them scored in 20 games.
Find the interquartile range, IQR, for each dot plot. Then, place the basketball players in order from greatest to least IQR.
Which shows all the factors pairs of 45?
O A. 4,5
OB. 5,9
O C. 1,45
5,9
O D. 1,45
3, 15
5,9
O E. 1,45
3, 15
4,5
5,9
Which shows all the factors pairs of 45 ?
Geoff paddles his canoe at an average speed of 3.5 miles per hour. After 5 hours of canoeing, Geoff has traveled 18 miles. Write an equation in slope-intercept form to find the total distance y Geoff travels after x hours.
Answer:
d(x) = 3.5x + 0.5
Step-by-step explanation:
3.5 x 5 = 17.5 which means the canoe began from a starting point of 0.5
Answer:
y−18=3.5(x−5)
Step-by-step explanation:
from mcgraw hill
Mr chow is buying rolls of paper for the school. This is a lost of the suppliers, the size of their rolls, and their cost per roll. supplier x sells 25 meter rolls for 18.98, supplier y sells 30 meter rolls for 21.89, supplier z sells 40 meter rolls for 29.59 to the nearest cent what is the cost per meter for a roll of paper from the least expensive supplier
Answer:
0.73
Step-by-step explanation:
cost per meter for a roll of paper = total cost / total meter of rolls sold
Supplier x = 18.98 / 25 = 0.76
Supplier y = 21.89 / 30 = 0.73
supplier z = 29.59 / 40 = 0.74
the lowest per unit cost is 0.73
Ira walked 20 miles last week and 22 miles this week. Raj walked 1/3 the distance that Ira walked. Write an expression for the distance Raj walked
Answer:
Multiply your pace by your distance; If your pace is 9.5 minutes per mile and you ran 3 miles: 9.5 min per mi × 3 mi = 28.5 minutes = 28 minutes, 30 seconds How to calculate running speed. Divide your run distance by your run time; If you ran 2.5 miles and you ran for 20 minutes
Step-by-step explanation:
5) A real estate agent sells condominiums for $90,000 each. She earns 4% 6 points
commission. In May, she sold 9 condominiums. How much commission
does she make on each condominium?*
$86,400
$93,600
$32,400
$3,600
A running track has two semi-circular ends with radius 24m and two straights of length 85.9m as shown.
Calculate the total area of the track rounded to 1 DP.
Solve 3x2 + x - 10 = 0. Round solutions to the nearest hundredth. (5 points) a x ≈ −5 and x ≈ 2 b No real solutions c x ≈ −2 and x ≈ 1.67 d x ≈ −1.67 and x ≈ 2
Answer:
c) x ≈ −2 and x ≈ 1.67
Step-by-step explanation:
Solve 3x²+ x - 10 = 0.
We solve using Almighty formula
-b ± √b² - 4ac/2a for equation: ax² + bx + c
where a = 3, b = 1, c = -10
Hence
-1 ± √1² - 4 × 3 × -10/2 × 3
-1 ± √1 - (-120)/6
-1 ± √1 + 121/6
-1 ± √121/6
-1 ± 11/6
Hence:
-1 - 11/6
-12/6 = -2
-1 + 11/6
= 10/6
= 1.67
Therefore, x = -2, x = 1.67
Option c) x ≈ −2 and x ≈ 1.67 is the correct answer