which values are outliers ?
5.8, 6.1, 4.9, 10.9, 0.8, 6.1, 7.4, 10.2, 1.1, 5.2, 5.9
select all correct answers
Answer:
0.8 and 1.1 are outliers of the given data set.
Step-by-step explanation:
The given data set is
5.8, 6.1, 4.9, 10.9, 0.8, 6.1, 7.4, 10.2, 1.1, 5.2, 5.9
Arrange the data set in ascending order
0.8, 1.1, 4.9, 5.2, 5.8, 5.9, 6.1, 6.1, 7.4, 10.2, 10.9
Divide the data in four equal parts.
(0.8, 1.1), 4.9,( 5.2, 5.8), 5.9,( 6.1, 6.1), 7.4, (10.2, 10.9)
From the above division we get,
[tex]Q_1=4.9[/tex]
[tex]Median=5.9[/tex]
[tex]Q_3=7.4[/tex]
The interquartile range of the data is
[tex]IQR=Q_3-Q_1[/tex]
[tex]IQR=7.4-4.9=2.5[/tex]
If all the data elements lies in the interval [Q₁-1.5(IQR),Q_3+1.5(IQR)], then the data set has no outliers.
[tex][Q_1-1.5(IQR),Q_3-1.5(IQR)]=[4.9-1.5(2.5),7.4-1.5(2.5)]=[1.15,11.15][/tex]
Since all the elements lie in the interval [1.15,11.15] except 0.8 and 1.1, therefore 0.8 and 1.1 are outliers.
What is the output value for the following function if the input value is 3.2?
y = 2x - 1
1
2
4.2
5.4
The given function is y = 2x -1 which is of the form of a straight line with the form y = mx + c
now, we have been given that the value of x is 3.2 as it says input value is 3.2
we plug in x =3.2 in the equation
y = 2x -1
y = 2*3.2 -1
y = 6.4 -1
y = 5.4
So the value of y we get is 5.4
Answer = 5.4 (option D)
help me? Answers por favor ?
35x^7+15x^5-10x^3/5x^3
Which characteristics best describe an obtuse isosceles triangle? I. One angle is greater than 90°. II. All side lengths are equal. III. Two sides meet at a 90° angle. IV. Two sides are equal in length. A. I and IV B. II and III C. I and II D. III and IV
An obtuse isosceles triangle is defined as a three-sides triangle shape that has one angle (out of three angles) more than 90 degrees and whose two sides are always congruent that includes obtuse angle in between. So it will follow :-
⇒ Obtuse means "one angle is greater than 90 degrees".
⇒ Isosceles means "Two sides are equal in length".
So, option A is correct, i.e. statements I and IV.
I need help ASAP
The figure of a rocket launched for space exploration is shown below.
Find the volume of the rocket to the nearest hundredth.
A) 90.36 cubic meters
B) 98.91 cubic meters
C) 80.07 cubic meters
Which of the following sequences is not arithmetic?
a.1, 2, 3, 4, ...
b.2, 4, 6, 8, ...
c.0, -2, -4, -6, ...
d.1, 4, 9, 16, ...
Answer:
1, 4, 9, 16, ...
Step-by-step explanation:
a store sign reads take 90% off the original price when you take an additional 15% off the sale price which is 75% of the original price. Is the store sign correct
what equation results from completing the square and then factoring.
Find the difference. express your answer in simplest form. (2s/s^2-4s+4) - (4/s^2-4s+4)
Which graph represents the given inequality?
y > 4x - 2
PLEASE HELP AND FAST, 15 POINTS! In the coordinate plane shown, how far apart are points B and D? Explain how you can use the Pythagorean theorem to determine this.
four times the sum of a number and 2/3 is 16/3. find the number. express your answer as a fraction in simplest form
helppppppppppppppppppppppppp
Help with question 12 please
can somebody help me please this is my last question i need to submit this!! help!!
the initial number of bacteria in a culture is 12,000. the xulture doubles each day write an exponential functin to model the population Y of bacteria after X days
Answer:
[tex]Y = 12,000 \cdot (2)^X[/tex]
Step-by-step explanation:
The exponential function is given by:
[tex]y =a \cdot b^x[/tex]
where,
a is the initial values and b is the growth factor.
As per the statement:
The initial number of bacteria in a culture is 12,000.
⇒Number of bacteria initially(a) = 12,000
It is also given that the culture doubles each day.
⇒ growth factor [tex]b= 2[/tex]
We have to find the exponential function to model the population Y of bacteria after X days.
By definition of exponential function:
[tex]Y = 12,000 \cdot (2)^X[/tex]
where, x represents the days and Y is the population after X days.
Therefore, an exponential function to model the population is,
[tex]Y = 12,000 \cdot (2)^X[/tex]
a number is chosen at random from 1 to 50. find the probability of selecting divisors of 12
What is the coefficient of y in the expression 3 ⋅ 6 + 4y?
Answer:
Sorry I'm late, but I think the answer is D.
Step-by-step explanation:
Cindy's job is to check computer printers for defects. Out of 420 printers she has to check, only 3 of the first 84 have been defective. What is the best prediction of the total numbers of printers in this group that will be defective?
Part 1: Solve the system by graphing. Draw the graphs on paper and indicate their intersection point. Type the ordered pair solution here as your answer to Part 1.
Part 2: Solve the system using the substitution method. Show all work here and indicate the solution for the system as an ordered pair.
Part 3: Solve the system using the addition method. Show all work here and indicate the solution for the system as an ordered pair.
2x+3y=6
x-2y=10
What is the solution of x+8/5x-1>0 ?
Answer:
Step-by-step explanation:
I need help on these problems
I need help with the first three please!!!
what's the answer to this?
The measure of the side length of the right triangle is 20.
What is the measure of the missing side length?A tangent makes an angle of 90 degrees with the radius of a circle.
Therefore, the triangle formed is a right triangle.
From the diagram:
Leg 1 = 12
Leg 2 = 16
Hypotenuse =?
To find the hypotenuse, we use the Pythagoras theorem:
(Hypotenuse)² = ( Leg 1 )² + ( Leg 2 )²
(Hypotenuse)² = ( 12 )² + ( 16 )²
(Hypotenuse)² = 144 + 256
(Hypotenuse)² = 400
Take the square roots of both sides:
Hypotenuse = √400
Hypotenuse = 20
Therefore, the side length measures 20 units.
Option C) 20 is the correct answer.
The complete question is:
Find the missing line segment in the diagram.
Learn more about Pythagorean theorem here: brainly.com/question/343682
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In 1980 the population in Detroit, Michigan was approximately 1, 200, 000. If the population decreased at an annual rate of 14.6% over the next decade What was the population of Detroit in 1990, 10 years later
Eli, Freda and Geoff were given £800 to share in the ratio of their ages.
Eli is 9 years old,Feda is 13 years old and Geoff is 18 years old.
How much should they each get?
Eli-
Freda-
Geoff-
Final answer:
Calculate how £800 should be divided among Eli, Freda, and Geoff based on their ages.
Explanation:
Ratio of ages: 9:13:18 = 9/40 : 13/40 : 18/40
Total amount: £800
Eli: £200
Freda: £290
Geoff: £410
watts,volts and amps are used to measure electricity. there is a formula that shows the relationship between watts,volts and amps. volts times amps = watts . if the volts are 120 and the amps are 5 how many watts are there?
The number of watts for a circuit with 120 volts and 5 amps is 600 watts.
Explanation:The formula for calculating the power in an electrical circuit is: Power (P) = Voltage (V) × Current (I).
To calculate the number of watts, we can substitute the given values into the formula:
Volts (V) = 120
Amps (I) = 5
Therefore, the number of watts (P) = 120 V × 5 A = 600 W.
The area of this rectangle is 5x2. What does the coefficient 5 mean in terms of the problem?
Answer: The length is 5 times the width
Step-by-step explanation:
Given: The area of rectangle = [tex]5x^2=(5x)(x)[/tex]
Here x must be a positive real number since it can not be negative.
Also for area of rectangle =[tex]length \times width[/tex]
And length is always greater than width of rectangle, therefore in the given expression 'x' must be width and '5x' must be length of rectangle .
[∵ for every positive x , 5x>x]
Hence, the coefficient 5 means the length is 5 times the width.
the following scatter plot demonstrates that there is a positive correlation between the two quantities.