The median of a set of numbers is the middle number in the set (after the numbers have been arranged from least to greatest) -- or, if there are an even number of data, the median is the average of the middle two numbers.
For example:
Find the median of the set {2,5,8,11,16,21,30} .
There are 7 numbers in the set, and they are arranged in ascending order. The middle number (the 4 th one in the list) is 11. So, the median is 11.
The center of a data set is also a way of describing the location. The two most widely used measures of the center of the data are the mean (average) and the median. To calculate the mean weight of 50 people, add the 50 weights together and divide by 50. To find the median weight of the 50 people, order the data, and find the number that splits the data into two equal parts. The median is generally a better measure of the center when there are extreme values or outliers because it is not affected by the precise numerical values of the outliers.
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1.) What is the least positive integer divisible by the numbers 2, 3, 4 and 5? Show your work.
The scale of a map is 1 in.: 15 mi. Find the actual distance corresponding to the map distance.
The distance on the map is 4.5 in..
The actual distance is
mi.
The given scale for the map is 1 in. : 15 mi., gives the actual distance corresponding to the map distance of 4.5 in. as 67.5 mi.
In the question, we are given that the scale of a map is 1 in.: 15 mi.
We are asked to find the actual distance corresponding to the map distance, given the map distance is 4.5 in.
The scale given to us is 1 in. : 15 mi.
This means that 1 inch on the map represents 15 mi. in the actual case.
Thus, the actual distance corresponding to the map distance of 4.5 in. is 15 * 4.5 mi. = 67.5 mi.
Thus, The given scale for the map is 1 in. : 15 mi., gives the actual distance corresponding to the map distance of 4.5 in. as 67.5 mi.
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how to multiply a fraction(s)?
Fractions Context: How do they work? -
- In every fraction, there's a top number and a bottom number, separated by a short horizontal line.
- In a proper fraction, the smaller number — called the numerator — will always be on top, while the larger number — the denominator — will be on the bottom.
(NOTE: The larger number is not always on the bottom, when it's on the top it is considered an improper fraction!)
- The numerator tells us how many units we have of a whole and the denominator tells us how many units make up the whole. So, in the fraction 1/2, 1 is the numerator and 2 is the denominator — there are two units in the whole, but this fraction tells us that we only have one of these units.
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How can we muiltiply fractions?
Unlike when you are adding or subtracting fractions, you can multiply fractions with different denominators. For instance, it's not a problem to multiply 3/4 x 2/5.
Here's an example:
[tex]\frac{3}{4} * \frac{2}{5 } = \frac{3*2}{4*5} = \frac{6}{20}[/tex]
Think we're done here? Haha, not in the least!
Fractions in the form of answers must ALWAYS be simplified unless asked to do the opposite! We must simplify the fraction and reduce it to its purest form.
6/20 can be divided by 2 on both the numerator and the denominator.
3/10 would be the FINAL ANSWER!
________________________________________________________
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Have a WONDERFUL day! (:
a) The quadratic x² - 4x-21 can be written in the form (x + a)² + b
Find the values of a and b.
quadratic formula
60 Points!
a function is decreasing on an interval if the output values decrease as the input values decrease.
a .true
b .false
Answer:
A: true
I'm positive
Step-by-step explanation:
Answer:
false
Step-by-step explanation:
write the equation in slope intercept form for the line with the given slope that contains the given point.
slope=1;(-2,3)
Answer:
y = x + 5
Step-by-step explanation:
m = 1, x = -2, y = 3
y = mx + b
3 = 1(-2) + b
3 = -2 + b
b = 3 + 2 = 5
therefore
y = x + 5
Write an equation in slope-intercept form for the perpendicular bisector of the segment with the given endpoints. Justify your answer. (Lesson 5-1)
D(-2,-4) and E(2,1)
The equation of the perpendicular bisector of the segment with the endpoints located at D(-2 ,-4) and E(2 , 1) is y = -4/5x - 3/2.
A perpendicular bisector of a segment is a line that divides the segment into two equal parts forming right angles at the point of intersection.
To get the perpendicular bisector of a segment, get the point of intersection of the two lines which is the midpoint of the segment.
midpoint (x , y) = [(x1 + x2)/2 , (y1 + y2)/2]
midpoint (x , y) = [(-2 + 2)/2 , (-4 + 1)/2]
midpoint (x , y) = (0 , -3/2)
Get the slope of the perpendicular bisector of a segment by taking the negative reciprocal of the slope of the segment.
slope of segment = (y2 - y1)/(x2 - x1)
slope of segment = (1 - -4)/(2 - -2)
slope of segment = 5/4
slope of the perpendicular bisector = -4/5
Solving for the y-intercept, b, plug in the point (0 , -3/2) and the slope -4/5 to the slope-intercept form of the equation, y = mx + b.
y = mx + b
-3/2 = -4/5(0) + b
b = -3/2
Setting up the equation in slope-intercept form, where m = -4/5 and b = -3/2.
y = mx + b
y = -4/5x - 3/2
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Pls just do my homework
Write the expression in radical form x 3/7
Answer:
[tex]x^{\frac{3}{7} } =\sqrt[7]{x^{3} }[/tex]
Step-by-step explanation:
Hope this helps
Answer:
[tex]x \frac{3}{7} = \sqrt[7]{x^3}[/tex]
Step-by-step explanation:
That is your answer
translation: 2 units down
D(-4,1), A(-2, 5), S(-1, 4), N(-1,2)
Answer:
D (-4, -1), A (-2, 3), S (-1, 2), N (-1, 0)
Tip:
To move a point down by two units, subtract the y in (x, y) by 2.
leo drew a line that is perpendicular to the line shown on the grid and passes through point f g. which of the follwoing is the equation of leos lins
The equation that is perpendicular to the line that is drawn by Leo will be C. y - G = -1/2(x - F)
How to illustrate the information?Based on the information given, it should be noted that the slope of the line from the graph will be:
m = y intercept/ x intercept
= 2
The like is also passing through the coordinates (F, G).
Therefore, the appropriate equation will be y - G = -1/2(x - F).
In conclusion, the correct option is C.
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Leo drew a line that is perpendicular to the line shown on the grid and passes through point (F, G). Which of the following is the equation of Leo's line?
A) y - F = -2(x - G)y
B) y + F = 2(x + G)
C) y - G = -1/2(x - F)
D) y - G = -1/2(x + F)
Find the measure of the segment indicated.
RM = 24
SP = 30
Find QM
I am being tested on this tomorrow but this doesn’t make sense to me
You roll a 16-sided die (having values 1-16 on its faces).
What is the probability that the value of the roll will be a 6?
O2/16
10/16
O 1/16
06/16
The probability of six appearing is C. 1/16.
How to calculate the probability?It should be noted that probability simply has to do with the chance that something will happen.
In this case, the die has 16 faces
Therefore, the probability of six appearing will be:
= Number of six / Total number
= 1/16
Therefore, the probability of six appearing will be 1/16.
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3/8 divided by 9/10 is what
Answer:
5/12
Step-by-step explanation:
Answer:
5/12.
Step-by-step explanation:
3/8 / 9/10
= 3/8 * 10/9
= 1/8 * 10/3
= 1/4 * 5/3
= 5/12
8/9 mius -2/3 is how much
Answer:
1,56
Step-by-step explanation:
8/9minus-2/3
=8/9+2/3
(- multiply by - = +)
=24+18/27
=41/27
=1,5
To jump at a local trampoline park, each attendee is charged $14.75 per hour. In addition, each attendee must spend $3.50 to purchase a pair of jumping socks. The trampoline park also offers food specials. Currently, attendees can purchase a super pizza deal, which includes a large pizza and a pitcher of soda, for only $15.50 . Five friends decide to visit the trampoline park. Each friend will buy a pair of socks and jump for two hours. The friends will also buy one super pizza deal to share.
Answer:
Step-by-step explanation:
(14.75x10)+(3.5x5)+15.50= 180.5
14.75= trampoline per hour
10= the friends 2x hours
3.5= socks
5= the number of friends
15.50= the super pizza deal
If you were to play the game many times (say, 36 times in a row), which option would you choose?
*RED WINS*
WIN on RED
WIN on BLUE
Answer:
I would choose blue, assuming that there are even chances between red and blue winning.
Hope this helps.
The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
a. Write and solve three inequalities for the previous statement using the triangle shown.
b. What values for x make sense?
The inequalities for the triangle are as follows:
17 + 15 > 5x17 + 5x > 155x + 15 > 17The value of x that makes sense in the triangle is 7.
How to find the length of a triangle?The triangular inequality theorem theory states that the sum of the length of any two side of a triangle is greater than the length of the third side.
Therefore,
a + b > c
a + c > b
b + c > a
Therefore, the three inequalities for the triangle is as follows:
17 + 15 > 5x17 + 5x > 155x + 15 > 17The value of x that makes sense is 7.
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Find an equation of the tangent line to the following curve at the given point. y = e6x cos x, (0, 1)
An equation of the tangent line to curve [y = e⁶ˣ cos x] at the given point (0, 1) is y = x + 6.
What is tangent line?At a given point, the tangent line of a curve is a line that really just contacts the curve (function). In calculus, the tangent line may connect the curve at any other point(s), and it may also cross the graph at any other point(s).
Now, as per the given question;
Because of this, point (0,1) is a tangent point;
y = f((0) = e⁰cos0 = 1.
We differentiate to get the slope of the tangent line m. Tangent line equation:
y' = 6e⁶ˣcosx - e⁶ˣ sinx;
Thus, the slope of the curve becomes;
m = f'(0) = 6.
Substituting the values of slope and coordinates (0, 1).
y = 6 + 1(x - 0),
Simplifying the equation.
y = x + 6
Thus, the equation of the tangent line to the given curve is y = x + 6.
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Write a conjecture that describes the pattern in the sequence. Then use your conjecture to find the next item in the sequence. 0,2,4,6,8
The conjecture that describes the pattern in the sequence is current term is 2 added to the previous term and the next term is 10
How to write a conjecture that describes the pattern in the sequence?The sequence is given as:
0, 2, 4, 6, 8
In the above sequence, we can see that each current term is 2 added to the previous term
i.e.
Tn = 2 + Tn-1
Using the above conjecture, we have
Next term = 8 + 2
Evaluate
Next term = 10
Hence, the conjecture that describes the pattern in the sequence is current term is 2 added to the previous term and the next term is 10
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45 40 36 38 42 48 40 40 70 45 42 43 48 36 what is the mean
Answer:43.8
Step-by-step explanation:
add up all of the numbers then divide the number by the number of numbers u had in the beginning. Hope this helps! Let me know if you need more explaining !
give one (1) example that illustrates the difference between data and information, and briefly explain how your example shows this difference. do not use the example given in lecture 1.
The key points of difference between data and information are -
"Facts and figures" are the simplest definition of the word "data." Each piece of information is a little fact that, by itself, doesn't mean anything. Data can refer to a single fact or a group of related facts. Its root, datum, is a Latin term that means "something provided."
A collection of facts is called data. You interpret such things in context by having information.Information is structured or ordered, whereas data is not.Data is a mass noun, but information is an uncountable noun.Information, as opposed to data, is often valuable on its own.In general, data consists of numbers, statements, and characters in their basic forms. Information does not necessarily.Data depend on information.To learn more about data and information from given link
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Which ordered pair represents the solution to:
3x - 12y = 16
7x + y = 43
A. (6,4)
O B. (4,6)
C. (-4, 6)
O D. (-6,4)
E. (6,-4)
Answer:
none
Step-by-step explanation:
kindly check your equations as well as the options, there is an error in them!!
What is 8y-2+6x
Please tell me quick
After solution of the given equation 8y-2+6x the answer is 2(4y - 1 + 3x).
What are equations?An equation is a mathematical statement that includes the symbol 'equal to' between two expressions with equal values. For instance, 3x + 5 = 15. There are various types of equations, such as linear, quadratic, cubic, and so on. In this article, we will learn more about equations in math.So, 8y-2+6x:
Rewrite 6 as 3 × 2Rewrite 8 as 4 × 24 × 2y - 2 + 3 × 2xFactor out common term 2:
2(4y - 1 + 3x)Therefore, equation 8y-2+6x is 2(4y - 1 + 3x).
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if i simplified 6/33 what would my answer be
Answer:
Exact form 2/11
Decimal form 0.18
Help I don’t understand this
Answer:
Part A: Run=4 Rise= 8
Part B: Run=1 Rise=2
Step-by-step explanation: When counting run, count the boxes on the x axis (count how many boxes it goes to the left/tight) When counting rise, count the boxes on the y axis (Count how many boxes it goes up)
Note: Answer may be a number off. Couldnt see picture well
a fibanachi sequence begins with 1 1 3 5 8 what is the 8t term
Answer:
Fibonacci sequence is one of the most known formulas in number theory. In the Fibonacci sequence, each number in the series is calculated by adding the two numbers before it. Generally, the first two terms of the Fibonacci series are 0 and 1.
Any Fibonacci number can be calculated by using this formula,
xn = (φn − (1−φ)n)/√5
xn denotes Fibonacci number to be calculated
φ is Golden ratio = 1.618034
the condition given in the question and applying the Fibonacci formula:
By the use of the Fibonacci number formula, we can calculate the rest of the Fibonacci numbers like 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89.
Therefore, the 8th term will be 21.
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A child measured 120 centimeters in a semiannual checkup with the doctor. What would be the child's height at the next office visit if the child grew by 2.51 centimeters?
Answer:
120+2.51=122.51cm
Helpppp slove plssssssssssssssssssssssssssssssssssss
Answer:
Step-by-step explanation:
if 14/6=32/4
12/4=3 y-6=3 y=9
0/4=0 y-6=0 y=6
if y=4 x=-8
y=-3 x=-36
Answer:
Step-by-step explanation:
y = 6 - (x/4) replace the given values with x or y
x : y
32 : 14
12 : 3
0 : 6
8 : 4
36 : -3
A person is $1000 on the credit card that charges an interest rate of 2% per month complete the table showing the car to balance each month if you do not make any payments
Answer:
Month Total Bill
1 1000
2 1,020
3 1,040.40
4 1,061.21
5 1,082.43
6 1,104.08
7 1,126.16
8 1,148.69
Step-by-step explanation:
Use the formula for compound interest
[tex]A = P(1+r)^t[/tex]
where A is the balance, P is the principal (credit card balance), r is the effective rate and t is the number of time periods
Here r = 2% computed monthly which is 2/100 = 0.02 in decimal and t = 1, 2,3,4,5,6,7,8 months
So 1 + r = 1+0.02 = 1.02
We can compute the monthly balance for each subsequent month by multiplying the previous month's balance by 1.02
All figures rounded to the nearest cent
Answer
Month Total Bill
1 1000
2 1,000 x 1.02 = 1,020
3 1,020 x 1.02 = 1,040.40
4 1,040.40 x 1.02 = 1,061.21
5 1,061.21 x 1.02 = 1,082.43
6 1,082.43 x 1.02 = 1,104.08
7 1,104.08 x 1.02 = 1,126.16
8 1,126.16 x 1.02 = 1,148.69