Answer the statistical measures and create a box and whiskers plot for the following set of data. You may optionally click and drag the numbers into numerical order.
3, 4, 5, 6, 6, 7, 7, 12, 13, 14, 14, 15, 15, 16, 17
3,4,5,6,6,7,7,12,13,14,14,15,15,16,17
Min:
Q1:
Med:
Q3:
Max:
For the box and whiskers plot for the following set of data the value of Min is 3, Q1 is 6, Med is 12, Q3 is 14.5 and Max is 17.
What is box and whiskers plot?
Box and wishkers plot is the way of representation of data which gives the graphical image of the data set to understand better. In this the data is represented with the help of quartile.
The minimum and the maximum values in the box plot is plotted at the end points.
The following set of data which i s given in the problem.
3, 4, 5, 6, 6, 7, 7, 12, 13, 14, 14, 15, 15, 16, 17
Min: 3The minimum value in the given data is 3. Thus, the min is 3.
Q1:6First quartile appears at 6. Thus, the value of Q1 is 6.
Med:12The middle value of the given data is 12 which appears at the center of all the values. Thus the med is 12.
Q3:14.5Second quartile appears at 14.5. Thus, the value of second quartile Q2 is 6.
Max: 17The minimum value in the given data is 17 as shown in the image attached below. Thus, the min is 17.
Hence, for the box and whiskers plot for the following set of data the value of Min is 3, Q1 is 6, Med is 12, Q3 is 14.5 and Max is 17.
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Raj takes a taxi to the airport. He expects the taxi to travel at an average speed of 40 mph. The distance from Raj's house to the airport is 30 miles. If Raj's taxi actually travels at an average speed of 30 mph, how many more minutes does the journey take than expected?
Answer:
15 minutes more, as 60-45mins = 15 minutes
Step-by-step explanation:hope it helps
It will take 15 more minutes for the journey than the expected.
What is Speed?Speed is the unit rate in terms of distance travelled by an object and the time taken to travel the distance.
Speed is a scalar quantity as it only has magnitude and no direction.
Given that,
The distance from Raj's house to the airport is 30 miles.
He expects the taxi to travel at an average speed of 40 mph.
If he travels at a speed of 40 mph, let t be the time taken.
Speed = Distance / Time
40 = 30 / t
t = = 0.75 hours = 45 minutes
If Raj's taxi actually travels at an average speed of 30 mph, let t' be the time taken.
30 = 30 / t'
t' = 1 hour = 60 minutes.
t' - t = 60 - 45 = 15 minutes
Hence the journey takes 15 more minutes than expected.
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The diameter of a circle is 40 m. Find the area of the circle in terms of π. 40π m2 80π m2 400π m2 160π m2
Answer:
[tex]400\pi m^2[/tex]
Step-by-step explanation:
If the diameter is 40, the radius is 20.
The area is 400π
Identify a pattern in this list of numbers. Then use this pattern to find the next number. (More than one pattern might exist, so it is possible that there is more than one correct answer.) 3, 5, 9, 15, 23, 33, _____
Answer:
a) 45
The sequence 3 , 5, 9 , 15 , 23 , 33 , 45
Step-by-step explanation:
Given The sequence 3 , 5, 9 , 15 , 23 , 33
First term = 3
Add 2 of first term
Second term = 3 +2 = 5
Add 4 of second term
Third term = 5 + 4 = 9
Add 6 of Third term
Fourth term = 9 + 6 = 15
Add 8 of fourth term
fifth term = 15 + 8 = 23
Add 10 of fifth term
sixth term = 23 + 10 = 33
Add 12 of sixth term
seventh term = 33 +12 = 45
Final answer:-
Now the sequence 3, 5, 9, 15, 23, 33, __45___
graph each linear equation y equals negative 3x - 2
Answer: y=-(3x-2)= -3x+2
The intercept with y is 2
The intercept with x is 2/3
Find the mode of this data.
2, 8, 14, 7, 8, 13, 2, 20, 8, 17
A. 8
B.
13
C.
7
D.
17
The formula for finding the surface area of a triangular prism is SA = 2 B + Ph . TrueFalse PLZZZZZZZZZZZZZZ HELPPPPPPPPPPPPPPPP MMMMMMMMMMMMEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEe
Answer:
The Surface Area = 2 B + p h. So True
Step-by-step explanation:
Solve for the missing value x 3:9=x:81
Answer:
x=27
Step-by-step explanation:
So let's look at the ratio
3:9
x:81
x is proportional to 3 the same way that 81 is to 9
How would we get 9 to 81?
We would multiply by 9
So what is 3*9?
27
HELPPPPP ASAPPPPP 30 pointsss!!!!!
A It is lunch time at I.S. 237 and the table below lists the lunches that have
been served so far. Based on the results in the table, what is the
probability the next student will choose pizza?
Answer:
3/10
Step-by-step explanation:
How many dimes are in $25.00
Answer:
250 dimes
Step-by-step explanation:
i) A fish tank measures 1m long by 40cm wide and 60cm height.
What is the capacity of the fish tank?
ii) How many litres of water does it take to fill it three quarters full ?
Answer:
1. The capacity of the water tank = 240 litres
2. So it will take 180 litres to fill it three quarters full.
Step-by-step explanation:
Dimensions of a water tank:
1 Meter=100 CM
Length (l) = 100 cm,
wide (w) = 40 cm,
Depth (h)= 60 cm,
Volume of the tank (V)
LWH
100 cm × 40 cm × 60 cm
240,000 cm³
The capacity of the water tank = 240,000 cm³ / 240 litres
(240,000*3)/4 = 180,000 cm3
So it will take 180 litres to fill it three quarters full.
What is the area, in square units, of the parallelogram shown below? A parallelogram ABCD is shown with height 9 units and base 7 units.
A. 21 square units
B. 56 square units
C. 63 square units
D. 81 square units
Answer: 63 square units
Step-by-step explanation:
Area of a parellelogram = b x h
7 x 9 = 63 square units
Answer:
63
The triangle can be moved to the other side making the parallelogram a rectangle with a length and width of 7 and 9
7 x 9 = 63
Step-by-step explanation:
80 POINTS!!!!
The table shows how much Eric earns for pruning trees. Write an equation that relates t, the number of trees Eric prunes to p, the amount he earns. Solve your equation to find how much Eric earns if he prunes 7 trees.
Answer:
Equation: 15t
Solution: 105
Step-by-step explanation:
You multiply 15 and 7 to get your solution.
How many seed pockets are there ?
Find the value of y.
Answer:
Step-by-step explanation:
DB=√(y²-25)
again DB=√(x²-36)
so √(y²-25)=√(x²-36)
squaring
y²-25=x²-36
x²=y²-25+36
or x²=y²+11
also x²+y²=(6+5)²
x²+y²=121
y²+11+y²=121
2y²=121-11
2y²=110
y²=110/2=55
y=√55
please answer neat will mark brain.
Answer:
9.110° and y are the same(alternate angles)
thus y=110°. 110+x=180(seplementary angles). thus x=180-110=70°
z(alternate)=70°
10.y=78°. x=(180-78)=102°. z=102°
11.x=83°. y=(180-83)=97°. z=97°
12.y=37°. x=(180-37)=143. z=143°
to confirm the answers all angles in a circle at the centre add up to 360°
Use the graphing calculator to graph the function f(x) = –StartRoot x EndRoot. Which list contains three points that lie on the graph of the function? (–9, 3), (–4, 2), (–1,1) (1,1), (4, 2), (9, 3) (–9, –3), (–4, –2), (–1,–1) (1,–1), (4, –2), (9, –3)
Answer:
(1,–1), (4, –2), (9, –3)
Step-by-step explanation:
In the picture attached, the plot of the function f(x) = -√x is shown.
To verify which points lie on the line we compute the following table.
x √x f(x) = -√x
1 1 -1
4 2 -2
9 3 -3
The points which lie on the graph will be (1,–1), (4, –2), and (9, –3) so the correct answer is option D.
What is a graph?A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
In the picture attached, the plot of the function f(x) = -√x is shown. To verify which points lie on the line we compute the following table.
x √x f(x) = -√x
1 1 -1
4 2 -2
9 3 -3
We can see that the above points are satisfying the function. Therefore points that lie on the graph will be (1,–1), (4, –2), and (9, –3) so the correct answer is option D.
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Please help! Read the question down below!
Which of the following is a rational function?
Answer:
the answer is A
Step-by-step explanation:
a rational function is a ratio of two polynomial that has a denominator and numerator and can not be zero
Simplify the expression.
5^2 - 4 x 4
Answer:
Simplified equation: 25 - 16=9
Step-by-step explanation:
Evaluate the power
25 - 4 * 4
Multiply the numbers
25 - 16
Subtract the numbers
9
A water trough is 8 m long and has a cross-section in the shape of an isosceles trapezoid that is 40 cm wide at the bottom, 100 cm wide at the top, and has height 60 cm. If the trough is being filled with water at the rate of 0.1 m3/min how fast is the water level rising when the water is 30 cm deep?
Answer:
1.785 cm / min
Step-by-step explanation:
We have to the following equation:
V = A * L
The volume is equal to the area times the length, now, if we derive with respect to time we have:
dV / dt = dA / dt * L
Now, the area of a trapezoid is:
A = (Upper base + Lower base) / 2 * height
Now we have:
Upper base = 40 + h
Lower base = 40
Replacing we have:
A = (40 + h + 40) / 2 * h
A = (h ^ 2) / 2 + 40 * h
Now, we derive and we are left:
dA / dt = d [(h ^ 2) / 2 + 40 * h] / dh * dh / dt
dA / dt = (h + 40) * dh / dt
we replace dA / dt:
dV / dt = [(h + 40) * dh / dt] * L
We have that dV / dt is equal to 0.1 m ^ 3 / min, we know that 1m ^ 3 is equal to 10 ^ 6 cm ^ 3, therefore:
dV / dt = 10 ^ 5 cm ^ 3 / min
in addition L is equal to 8 m or what is equal to 800 cm, and also h at the required moment is 30 cm
we replace everything and we have:
10 ^ 5 = 800 * (30 +40) * dh / dt
dh / dt = 10 ^ 5/56000
dh / dt = 1.785 cm / min
The figure shows a carpeted room. How many square feet of the room is carpeted?
Answer:
40
Step-by-step explanation:
So split it into two shapes. Two rectangles.
Rectangle 1 = 4 * 5 = 20
Rectangle 2 = 2 * 10 = 20
20 + 20 = 40
Answer:
40 square feet
Step-by-step explanation:
we can cut the carpeted space into 2 parts for easier calculation.
we can do 4 x 5 to find the first part, which equals to 20 square feet.
then, to find the side length of the left over rectangle, you can do 6 - 4, making it the length of the side length, which is 2. then all you must do is multiply 2 by 10, which also equals to 20 square feet.
Just add up both of the calculations(20 +20) then you'll get your answer!
the answer is 40 square feet.
Hope this helps and you understand now!
reduce to simplest form -1/3-(-3/5)
Answer:
4/15
Step-by-step explanation:
-1/3-(-3/5)
Subtracting a negative is like adding
-1/3 + 3/5
We need to get a common denominator of 15
-1/3 *5/5 + 3/5 *3/3
-5/15 + 9/15
4/15
Answer:
4/15
Step-by-step explanation:
-1/3 + 3/5 (2 negatives make a positive)
Taking the lowest common multiple, we get:
= (- 5 + 9)/15
= 4/15
Hope this helps!
A smart-phone is thrown upwards from the top of a 240-foot building with an initial velocity of 32
feet per second. The height h of the smart-phone after t seconds is given by the quadratic equation
h = - 16t2 + 32t + 240. When will the smart-phone hit the ground?
Answer:
t = 5 sec
Step-by-step explanation:
h = - 16t² + 32t + 240
On the ground h = 0.
- 16t² + 32t + 240 = 0 / : (- 16)
t² - 2t - 15 = 0
(t-5)(t+3) = 0
t = 5, t = - 3
Time can be only positive, so t = 5 sec
So this isn’t a test I just want to make sure I’m writing this correctly.
I have written 2x-18=-2y+12
Then I added 18 is that correct so far.
Answer:
[tex]3[/tex]
Step-by-step explanation:
[tex]2x-18=-2y+12[/tex]
[tex]y=12[/tex]
[tex]2x-18=-2(12)+12[/tex]
[tex]2x-18=-24+12[/tex]
[tex]2x-18=-12[/tex]
[tex]2x-18+18=-12+18[/tex]
[tex]2x=6[/tex]
[tex]\frac{2x}{2} =\frac{6}{2}[/tex]
[tex]x=3[/tex]
Answer:
x = 3
Step-by-step explanation:
=> 2x-18 = -2y+12
Given that y = 12
Putting in the above equation to get the value of x
=> 2x-18 = -2(12)+12
=> 2x-18 = -24+12
=> 2x-18 = -12
Adding 18 to both sides
=> 2x = -12+18
=> 2x = 6
Dividing both sides by 2
=> x = 3
Simplify the following polynomial expression.
3x(-2x + 7) - 5(x -1) (4x -3)
The simplest polynomial expression is
-26x^2+56x-15
Answer: -26x^2 + 56x -15
Step-by-step explanation:
3x(-2x + 7) - 5(x -1) (4x -3)
-6x^2 + 21x - (5x + 5)(4x-3)
-6x^2 + 21x -20x^2 +15x + 20x -15
= -26x^2 + 56x -15
Help! Please show work and identify the solution or how many solutions there are to the system
Answer:
Step-by-step explanation:
the two given lines are parallel.
Hence they do not intersect.
or they have no solution.
What is the measure of ED (the minor arc) in the diagram below?
HELPPP ASAP PLS
Answer:
C
Step-by-step explanation:
The measure of the inscribed angle DEF is half the measure of its intercepted arc, that is
[tex]\frac{1}{2}[/tex] ∠ DEF = arc ED , that is
arc ED = 2 × 78° = 156° → C
Option c 156 is correct.
Angle of the arc at tangent EF = 78
Area of circle is given by the pie times square of radius.
Since Angle made by chord with tangent is equal to halve the angle made by cord with its radius.
So
2 ∡DEF = measure of arc ED
= 2 x 78
= 156
Thus, the measure of are ED is 156°
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The smallest number by which 192 should be multiplied to make it a perfect cube is __
Answer: 9
Step-by-step explanation:
192 * 9 = 1728
Cube root of 1728 is 12
The exponent in “8n5” is:
Answer:
The exponent in "8n^5" is 5. We already know that the base is 8 and the variable is n, so that leaves the exponent to be 5. Hope this helps! Good luck on your assignment! (Brainliest would be appreciated if possible)