Median = 6, Lower quartile = 5; Upper quartile = 7; Interquartile range =2
What are Lower quartile and Upper quartile?The numbers that divide a piece of data into four equal portions are known as quartiles. A data set is divided in half by its median. The lower quartile (LQ) is the median value for the lowest half of a set of data. The upper quartile (UQ) is the median value for the higher half of a set of data.
Given data is:
7, 5, 3, 8, 6.
in ascending order the data is:
3, 5, 6, 7,8.
Hence, the median is = middle number from the data = 6.
The Lower quartile is =middle number from the lower part of the data = 5
The Upper quartile is = middle number from the data =7.
hence, the Interquartile range is = upper quartile - lower quartile
= 7 - 5
= 2.
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Answer:
The bar graph shows the number of games a soccer team played each month. Use the data to find each measure.
Median =
✔ 6
Range =
✔ 5
Interquartile range =
✔ 3.5
Which is true of this data?
✔ The values are clustered around the median.
Step-by-step explanation:
Question 2 - Find the nth term of the following
a) 10, 7, 4, 1
b 6, 4, 2,0
c) 9,4 -1,-6
d) 2.5, 2. 1.5, 1
Please help me quick
Answer:
nth term = 10 + (n - 1)-3
Step-by-step explanation:
a) 10, 7, 4, 1
First term,a = 10
Common difference,d = 7 - 10 = -3
nth term = a + (n - 1)d
nth term = 10 + (n - 1)-3
b 6, 4, 2,0
First term,a = 6
Common difference,d = 4 - 6 = -2
nth term = a + (n - 1)d
nth term = 6 + (n - 1)-2
c) 9,4 -1,-6
First term,a = 9
Common difference,d = 4 - 9 = -5
nth term = a + (n - 1)d
nth term = 9 + (n - 1)-5
d) 2.5, 2. 1.5, 1
First term,a = 2.5
Common difference,d = 2 - 2.5 = -0.5
nth term = a + (n - 1)d
nth term = 2.5 + (n - 1)-0.5
2x-2= 10x -4 help me
Answer
-8x=-2
x=-2/-8
x=1/4
Step-by-step explanation:
What is the circumference of the circle
below?
The sixth-graders at Jen's school got to choose between a field trip to a museum and a field trip to a factory. 57 sixth-graders picked the museum and 38 sixth-graders picked the factory. What percentage of the sixth-graders picked the museum?
Answer:
60% choose the Museum.
Step-by-step explanation:
Add the students who choose the museum and the students who choose the factory to get 95. You would then need to divide the amount of students who choose the museum by the total amount of students. Your answer would be 0.6, or 60%
60% of the students sixth-graders at Jen's school picked the museum.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, 57 sixth graders picked the museum and 38 sixth graders picked the factory.
So, the total no. of students is (57 + 38) = 95.
∴ The percentage of the sixth-graders who picked the museum is,
= (57/95)×100%.
= 60%.
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The value of x in the equation 161 - 6 - 26 is
Answer:
129
161-6=155-26=129 so x is 129
Answer:
x= 129
Step-by-step explanation:
161-6-26=x
161-6= 155
155-26= 129
x=129
How many three-digit numbers are divisible by 2,3 or 5? plEASe helP I aM DeSpeRatE
GIVE ME THE RIGHT ANSWER
Answer:
30
Step-by-step explanation:
- A number is divisible by 2 if its last digit is 2, 4, 6, 8 or 0
- A number is divisible by 3 if ist sum of digits is divisible by 3.
- A number is divisible by 5 if its last digit is a 5 or a 0.
_
The least 3 digit number divisible by 30 is 120 and the greatest is 990.
Answer: 30
Step-by-step explanation:
Divisible by 2,3 and 5 means divisible by 2*3*5=30
So we require to calculate number of multiples of 30 in the range 100 to 999.
The least 3 digit number divisible by 30 is 120 and greatest is 990.
This is an AP series with common difference 30.
First number is 120 and n'th number is 990.
We need to find n.
Using the AP series formula
120 + (n-1)*30= 990
or n= 30
There are 30 3-digit numbers divisible by 2,3 and 5.
PLEASE I NEED HELP FAST ITS PAST DUE AND IM STUCK ON THIS ONE. ILL MRK BRAINLIEST FOR THE FIRST PERSON WHO GIVES ME THE CORRECT ANSWER
Answer:
[tex]-27x^2\\[/tex]
Step-by-step explanation:
(Assuming you can use a calculator)
[tex]\sqrt[3]{-729x^6} = \sqrt[3]{-1} * \sqrt[3]{729} * \sqrt[3]{x^6} \\\sqrt[3]{-1} =-1\\\sqrt[3]{729} = 27\\\sqrt[3]{x^6} = ((x^6)^{1/3}) = x^(6/3) = x^2\\\\hence\\\sqrt[3]{-729x^6} = -1*27*x^2 = -27x^2[/tex]
Answer:
d
Step-by-step explanation:
Stephen places 950 pounds in a bank that pays 1.6 percent simple interest per year. How much interest will he earn each year
Answer:
15.2
Step-by-step explanation:
You have to divide 950 by 1.6 percent
950/1.6
Help please the problem is in the picture below.
Answer:
Step-by-step explanation:
C=pi times 4
C= 3.14 times 4
C=12.56
AB, CD and EF are straight lines.
AB is parallel to CD.
work out the size of angle y.
Answer:
y = 108°
Step-by-step explanation:
Since, line AB is parallel to line CD,
By the definition of corresponding angles,
m∠FPB = m∠FQD
(2x + 16)° = (3x - 12)°
3x - 2x = 16 + 12
x = 28
(3x - 12) = 3(28) - 12
= 72°
m∠FQD + m∠EQD = 180° [Linear pair of angles]
72° + y = 180°
y = 180 - 72
y = 108°
please help me solve this
HELP ME PLEASEEEEE PLEASEEEEE
Answer:
5.46π cm³
Step-by-step explanation:
Volume of sphere= 4/3πr³
= 4/3×π×(1.6)³ cm³
=5.46π cm³
hope this helped you!
A triangle has a base of 3 inches and an area of 5 to square inches. Find the height of
the triangle. Show your reasoning.
Answer:
Four Is The Answer
Step-by-step explanation:
Thx Me Later
What is the other match?
Answer:
A
Step-by-step explanation:
Kari bought a fountain online. It cost $946 plus 28% shipping and handling. What was the total cost?
Answer:
$1210.88
Step-by-step explanation:
100 + 28 = 128
946/100 X 128 = 1210.88
How do you do 20/4 divided by 8/9 and put it in simplest form?
Answer:
45/8, or 5.625
Step-by-step explanation:
20/4 is simplified to 5/1.
5/1 divided by 8/9
5/1 * 9/8
45/8
simplified to 5.625
Answer:
45/8 or 5 5/6.
Step-by-step explanation:
20/4 / 8/9 We invert the second fraction and multiply:
= 20/4 * 9/8
= 180 / 32
= 45/8
= 5 5/8.
HELP PLEASE ON THIS PROBLEM! LOT OF POINTS!!!!
Select all the proportional relationships.
Multiple select question.
A)
(Picture Below)
B) A train is traveling at a constant speed of 60 miles per hour. The number of hours the train has been traveling is t. The number of miles the train has traveled is d.
C)
The relationship is represented by this table:
(Picture Below)
D) y=3x , where x and y are both positive numbers.
E) y=1x
Answer:
A, C, D, and E
Step-by-step explanation:
They all have a constant rate.
Which expression is equivalent to 2.2m2 – 3.5(4m – 1.4) + 3.6(8m2 – 4.5m)?
Answer:
31m2−30.2m+4.9
Step-by-step explanation:
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The equivalent expression to 2.2m² – 3.5(4m – 1.4) + 3.6(8m² – 4.5m) is
31m² - 30.2m - 4.9
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
2.2m² – 3.5(4m – 1.4) + 3.6(8m² – 4.5m)
Remove the parenthesis.
2.2m² - 3.5 x 4m - 3.5 x 1.4 + 3.6 x 8m² - 3.6 x 4.5m
2.2m² - 14m - 4.9 + 28.8m² - 16.2m
Combine the like terms.
31m² - 30.2m - 4.9
Thus,
The equivalent expression to 2.2m² – 3.5(4m – 1.4) + 3.6(8m² – 4.5m) is
31m² - 30.2m - 4.9
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efectúa la siguientes operaciones 3254+535
Answer:
3789
Step-by-step explanation:
13) Find the measure of an exterior angle of a regular 20-gon.*
360
n
A) 18°
OB) 20°
0 C) 162
Diamond is playing a game. In the game she has to spin a spinner
that is divided into 4 equal sections of green, red, blue, and yellow.
What is the probability that on her first spin she will land on green
and then red on her second spin?
Answer: 1/16
In decimal form, this is equivalent to 0.0625
=====================================================
Explanation:
Each of the four sections are of equal area, so that means the probability of landing on any given color is 1/4.
The probability of landing on green first is 1/4, then followed by red is another 1/4. We multiply these fractions. This is valid because each event of spinning the spinner is independent of one another. None of the spins affect any others.
We then get (1/4)*(1/4) = (1*1)/(4*4) = 1/16
The probability of Diamond landing on the green on her first spin and then red on her second spin is 1/16.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required event / Total number of outcomes.
Example:
The probability of getting a head in tossing a coin.
P(H) = 1/2
We have,
Assuming that each section of the spinner has an equal chance of being landed on, the probability of landing on the green on the first spin is 1/4.
Since each spin is independent of the others, the probability of landing on red on the second spin is also 1/4.
To find the probability of both events happening, we multiply the probabilities of each event:
P(green and red) = P(green) × P(red) = 1/4 × 1/4 = 1/16
Therefore,
The probability of Diamond landing on the green on her first spin and then red on her second spin is 1/16.
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Fill in the blank to complete the equation below.
14 + 35
= 7(2 + ___)
Answer:
5
Step-by-step explanation:
14+35=49 and we are looking for the number times 7 that gives us 49.
So, we already have 2. 2+ what times 7 gives us 49? 2 + 5 = 7 and so now our equation looks like this:
14+35 =7 (2+5)
Or
14+35= 7x7 becuase 7x7 is 49 and 14+35 is also 49.
(If you need more help, let me know!)
how many gallons of gas can you get for $15.80
A total of 2 yards of fabric is used to make 5 identical pillows. How much fabric is used for each pillow? Do not include units (yards) in your answer. Modified from EngageNY ©Great Minds Disclaimer
Answer:
2/5 yards of fabric
Step-by-step explanation:
A total of 2 yards of fabric is used to make 5 identical pillows. How much fabric is used for each pillow?
5 identical pillows = 2 yards of fabric
1 pillow = x yards
Cross Multiply
x yards × 5 pillows = 2 yards × 1 pillow
x yards = 2 yards × 1 pillow/5 pillows
x yards = 2/5 yards of fabric
Therefore, 2/5 yards of fabric was used for 1 pillow
Explain how solving an equation with variables on both sides of the equation is different than solving an equation with a variable on only one side. Please use an example of each to show your work. You may use these examples or make up your own: 6x -9 = 15 16x - 20 = 44+ 5x show your work and explain your steps and why.
Answer:
See explanations below
Step-by-step explanation:
Given the equation
6x-9 = 15
Add 9 to both sides
6x-9+9 = 15+9
6x = 24
x = 24/6
x = 4
For the equation
16x - 20 = 44+ 5x
Since we have x variables on both sides, we will collect the like terms
16x - 5x = 44+20
11x = 64
Divide both sides by 11
11x/11 = 64/11
x = 64/11
x = 5.82
Hence the value of x is 5.82
Question 9 of 10
Solve the system of equations:
y= 2x + 1
y = x2 + 2x - 8
A. (0.1) and (2,5)
B. (-4,0) and (2,0)
C. (-3, -5) and (3,7)
O D. (-3,5) and (3, 2)
Answer:The answer is =3,7
Step-by-step explanation:
PLEASE HELP NOW,WILL GIVE BRAINLEIST!!!
Simplify the expression and show all work.
9(3x+4y+10)+4(5x-2y-4)
Answer:
47 x + 28 y + 74
Step-by-step explanation:
Find the measure of the indicated angle to the nearest degree?
Please hurry
Answer:
53.13°
Step-by-step explanation:
Sin x = Opp/Hyp
Sin x = 76/95
x = Sin- 0.8
=53.13°
Simplify (x^2-4x-12)/(x^2-4)
Answer:
(x-6)/(x-2)
Step-by-step explanation:
(x^2-4x-12)=(x^2+2x-6x-12)
X(X+2)-6(X+2)
(x-6)(X+2)
(x^2-4)
= (x-2)(x+2)
(x-6)(X+2)/(x-2)(X+2)
(x-6)/(x-2)
use cross products property to solve the proportion a/6=15/2
Answer:
a = 45
Step-by-step explanation:
[tex]\frac{a}{6} = \frac{15}{2}[/tex] Original equation.
[tex]a = 6(\frac{15}{2})[/tex] To solve for a, multiply both sides by 6 to isolate a.
[tex]a = 3(15)[/tex] 6 reduces to 3 when divided by 2.
[tex]a=45[/tex] Multiply 3 and 15 to get a.