The median and mode of the data set is
median =16mode =15This is further explained below.
What are the median and mode?Generally, median = value of [tex]$\left(\frac{n+1}{2}\right)^{\text {th }}$[/tex] the position
- the value of [tex]$\left(\frac{20+1}{2}\right)^{\text {th }}$[/tex] the position
= value of the position
= value of [tex]$10^{\text {th }}$[/tex] position +0.5 (value of 10^th position - value of 9th position)
Arranging the data below.
8,10,13,15,15,15,15,15,16,16,16$, $17,18,19,20,20,21,29,28,30
median =16+0.5(16-16)
median =16
mode = { value of maximum frequency }
mode =15
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The data set represents the number of students per faculty member for 20 public colleges 13 15 15 8 16 20 28 19 18 15 21 23 30 17 10 16 15 16 2[tex]$(10.5)^{\text {th }}$[/tex]0 15. Use five classes.
What is the median and mode of the data
a rectangle has a length that is 5 inches greater than its width, and its area is 104 square inches. the equation (x 5)x
The length and width of the rectangle are: 10 inches and 5 inches.
What is a rectangle?Rectangle refers to a plane shape, as opposed to a square, with four straight sides and four right angles, particularly one with uneven neighboring sides.
Given:
Area of the rectangle = 104 sq. inchesLength of the rectangle is 5 inches more than the width.To find: the length and width of the rectangle.
Finding:
Let the width of the rectangle be 'x'
Then the length of the rectangle = x + 5
Now, area of the rectangle = width (length)
=> 104 = x ( x + 5)
=> x² + 5x - 104 = 0
=> x² + 13x - 5x - 104 = 0
=> (x + 13) (x - 5) = 0
Since the lengths can't be negative, x = 5, i.e., the width of the rectangle = 5 inches
=> Length = 5 + 5 = 10 inches
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There are twenty marbles in a jar: some are red, some are
blue. You are blindfolded and choose two marbles. No matter how
you choose, at least one marble is guaranteed to be blue. Is it
possible to figure how many blue marbles are in the jar? If so,
how
many are there?
The number of blue marbles in the jar are 8.
Given, the total number of marbles in the jar = 24.
therefore, total number of all possible outcomes = 24.
Let the number of green marbles in Jar be x.
therefore, the number of favourable outcomes = x.
The probability that the marble drawn is green = x/24
But we have the probability of drawing a green marble = 2/3
x/24 = 2/3
3x = 2 (24)
x = 16
Thus , the number of green marbles in the jar = 16
The number of blue marbles = 24 - 16 = 8
Hence, the number of blue marbles in the jar is 8.
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Your question is incomplete.Please find the missing content below.
There are 24 marbles in a jar out of them some are green and remaining are blue. If a marble is drawn from the jar at random, the probability that the green marble drawn is 2/3.Find the number of blue marbles in the jar.
14.
Herman is standing on a ladder that is
partly in a hole. He starts out on a rung
that is 6 feet under ground, climbs up
14 feet, then climbs down 11 feet.
What is Herman's final position, relative
to ground level?
Answer:
Step-by-step explanation: His final position relative to ground level should be -3. If he starts out 6 feet under ground that is a negative number. So we have -6. Then he climbs up 14 feet. So we are going to add -6+14 which equals 8. Next it says he climbs down 11 feet. So we have a -11 and we will do 8-11=-3.
So -3 is the answer
Hope this helps.
When she was practising for the 10K, Mirin timed herself.
Her times ranged from 66 minutes down to 54 minutes.
a) Write her times in tolerance notation as in (.... ± ...) minutes.
b) Now calculate her tolerance using percentages as.... mins (± ...%).
Using the percentage concept, it is found that:
a) Her tolerance is of (60 ± 6 minutes).
b) As a percentage, her tolerance times are of 60 minutes (± 10%).
What is a percentage?The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:
[tex]P = \frac{a}{b} \times 100\%[/tex]
For this problem, the interval is between 54 and 66 minutes, that are both within 6 minutes of the mean of 60 minutes, thus:
a) Her tolerance is of (60 ± 6 minutes).
For item b, we want to find the tolerance as a percentage, that is, the percentage that the tolerance of 6 minutes is from the time of 60 minutes, hence:
P = 6/60 x 100% = 0.1 x 100% = 100%.
Hence:
b) As a percentage, her tolerance times are of 60 minutes (± 10%).
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In the diagram below of triangle LMN, O is the midpoint of LN and P is the midpoint of MN. If OP = 31 - 2x, and LM = 38 + 4x, what is the measure of LM?
Answer: LM= ?
If O is the midpoint of LN and P is the midpoint of MN and if OP = 31 - 2x, and LM = 38 + 4x, then the measure of LM = 88
As per the question statement, Triangle LMN where O is the midpoint of LN and P is the midpoint of MN and if OP = 31 - 2x, and LM = 38 + 4x, we are supposed to find the measure of LM.
As O is the mid point of LN and P is the midpoint of OP the using the Mid point theorem, we can say that in Triangle LMN
[tex]OP=\frac{LM}{2}[/tex]
Substituting values,
[tex]31-2x=\frac{38+4x}{2} \\2(31-2x)=38+4x\\62-4x=38+4x \\8x = 100\\x=12.5[/tex]
LM = 38 + 4x
[tex]LM = 38 + 4(12.5)\\LM=38 + 50\\LM=88[/tex]
Hence value of LM is 88
This question is a classic example of how to solve linear equations.
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Select the verb that is in the incorrect tense.
Lydia grabbed her jacket and ran out the door. She had planed to leave at 8:00 but it was 8:15. She sighs
please please pleasee help me if u cann i need this asap <33
Answer:
"Sighs" should be "Sighed"
How many times greater is 700,000 than 70,000?
Answer:
100 times more
please help ill give points !!!!!! porfa
Answer:D
Step-by-step explanation:
Answer:B (8)
Step-by-step explanation:
OVER 50 means anything higher than 50, NOT OLDER THAN 70 means anything that's 70 or lower. So we have a range of 51-70. Now, when we look at the diagram, we can tell that there are 4 people who are 51-60 years old which fits to the range we are looking for. Same with the 4 people in the 61-70 range.
6,842 rounded to the nearest thousand
Answer:
7,000
Step-by-step explanation:
6,842 is more than 6,500 so u round to 7,000
Simplify the expression.
5
+
4
⋅
(
8
−
6
)
2
Answer:
If the question is 5+4x(8-6)+2,then the answer is 15
Step-by-step explanation:
A new car is purchased for $26, 000 and over time its value depreciates by one half
every 7 years. How long, to the nearest tenth of a year, would it take for the value of
the car to be $8, 800?
If the cost of car is $26000 and it depreciates by one half every 7 years, then the cost of car will reach to $8800 after 10 years.
Given that the cost of car is $26000 and it depreciates by one half every 7 years.
We are required to find the number of years after which the cost of car will reach $8800.
Because the method of depreciation is not given in question, so we will apply straight line method of depreciation.
Depreciation is the gradual or permanent decrease in the cost of asset due to passage of time and many factors.
Depreciation of 7 years=26000*R*7
13000=26000*R*7
R=13000/26000*7
=7.14%
The cost of car will be $8800,so the depreciation charged will be 26000-8800=$17200
17200=26000*7.14/100 *N
N=1720000/26000*7.14
=9.2652
Because it is slightly larger than 9 so we can approx it as 10 years.
Hence if the cost of car is $26000 and it depreciates by one half every 7 years, then the cost of car will reach to $8800 after 10 years.
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Ravi drove 536 miles in 8 hours. At the same rate, how long would it take him to drive 871 miles?
Answer:
13 hours
Step-by-step explanation:
536/8=67
871/67=13
BRAINLIEST ANSWER IF ANSWERED PROPERLY WITH NO SPAM
Answer:
m = e/c^2
Step-by-step explanation:
e = mc^2
m = e/c^2
If x - 4y = -10 and 2x + 9y= -3 are true equations, what would be the value of 3x+5y?
The value of the expression 3x + 5y will be 47.
How to calculate the equation?It should be noted that an equation is used in Mathematics to show the relationship the exist between different variables.
The given equations are:
x - 4y = -10 ...... i
2x + 9y= -3 ....... ii
Multiply equation i by 2
Multiply equation ii by 1
2x - 8y = -20 ...... iii
2x + 9y = -3. ..... iv
Subtract equation iv from iii
(2x - 2x) (-8y - 9y) = (-20 + 3)
-17y = -17
Then, we have to divide by the coefficient.
y = -17/-17
y = 1
Since x - 4y = -10.
We will then put the value of y = 1 into the equation
x - 4(1) = 10
x = 10 + 4
x = 14
Therefore, 3x + 5y will be:
=3(14) + 5(1)
= 42 + 5
= 47.
In conclusion, the value of 3x + 5y is 47.
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On a number line, suppose the coordinate of A is 0, and AR = 17. What are the possible coordinates of the midpoint of AR ?
Step-by-step explanation:
The coordinate of A is 0. It is given that AR = 17. AR represents the distance from point A to point R. Remember that distance is always positive. So, from here we have two possibilities.
Point R is on Right side of A i.e. at coordinate 17
Point R is on Left side of A i.e. at coordinate -17
In both of these cases AR which is the distance from A to R will be 17.
So, if R is on Right side of A, the midpoint of AR would be:
0+17
÷ = 17/2 = 8.5
2
Or if R is on Left side of A, the midpoint of AR would be:
0-17
÷ = -17/2 = -8.5
2
Thus, the possible coordinates of the midpoint of AR are 8.5 and -8.5
Pls pls help whoever gets it right gets a crown
Answer: 76b2
Step-by-step explanation: hope this helps!!!!
Answer:
C
Step-by-step explanation:
(-4b)(-19b)
76b^2
PEMDAS
PLS HELP ME
SHOW WORK
Answer: Equation: 3x-2=4
Solutoin: x=2
Step-by-step explanation:
[tex]x+x+x-1-1=1+1+1+1\\3x-2=4\\3x-2+2=4+2\\3x=6[/tex]
Divide both parts of the equation by 3:
[tex]x=2[/tex]
5. Rewrite 252 + 108 in the form A(B+C) where a is the greatest common factor of 252 and 108
and b and care whole numbers.
(Responses: 2, 4, 6, 36, 42, 54, 63)
252 +108 =
Responses: 2, 4, 6, 7, 42, 63, 126)
(
(Responses: 2, 3, 18, 27; 36, 54, 108)
The values of A, B and C are 36, 7 and 3, respectively.
What is the simplified form of the sum of two positive integers?
In this problem we have the addition of two positive integers that are divisible to 2. First, we proceed to decompose each element of the addition as a product of prime numbers:
252 = 2² × 3² × 7
108 = 2² × 3³
The greatest common factor is the greatest integer that can be removed from the addition by distributive property. Then, the greatest common factor is 2² × 3² = 36 and finally:
(2² × 3²) · (7 + 3)
36 · (7 + 3)
The values of A, B and C are 36, 7 and 3, respectively.
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help me !!!!!!!!!!!!!!!!!!!!!!!!
Answer:
a. 1.37
b. 1.37
c. 1.37
all of them are 1.37 or they are all 137
Step-by-step explanation:
In a statistics test, the class average is 76 with a standard deviation of 8. emmy is told that the z-score of her exam score is -1.50. what was emmy's actual score on the exam?
Emmy's actual score in the exam is 64.
What is the Z score of the population?A Z-score is a metric that quantifies how closely a value relates to the mean of a set of values. Standard deviations from the mean are used to measure Z-score. A Z-score of zero means the data point's score is the same as the mean score.
Given,
class average = 76
standard deviation = 8
Z- score = -1.50
The formula of Z-score is -
z = (x-μ)/σ
Where x is the actual score,
μ is the mean,
σ is the standard deviation.
Now putting the values in the formula we get,
-1.50 = (x- 76) / 8
⇒ on solving, we get x = 64
So the actual score of Emmy = 64
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m³ = 0.125
How do I break this down to get the answer
Answer:
m = 0.5
Step-by-step explanation:
Step 1 : Take the cube root of it.
Basically what this means is that you multiply the reciprocal of it to the 0.125
Like this:
m^3 = 0.125 ---------> m = 0.125 (1/3)
Step 2: Solve
m = 0.125 (1/3)
m = 0.5
I hope this helps!
100 points and brainlyiest
ANSWER:
[tex]y=3x+5[/tex]
draw a point at (0,-5). then move up 3 units, and right one unit. draw a pont there. using a ruler, connect the dots and draw arrows on each end to show it continues.
[tex]y=-\frac{3}{2} x+3[/tex]
draw a point at (0,3). move down 3 units, and right 2 units. draw a point there. connect them as before
EXPLANATION:
[tex]y=mx+b[/tex] is the slope-intercept form of an equation, where m is the slope, and b is the y-intercept.
i used desmos, a web application, for the graph
Answer:
y=3x+5
Step-by-step explanation:
15 + 1.50 = 55 - 4.50
Answer: 6x=40
x=40/6
x=6+2/3
Step-by-step explanation: hope this helps!!!
Step-by-step explanation:
4.50+1.50=55-15
6=40 ........
Determine the correct METRIC length of the cockroach in this image.
A 1.0 in
B 2.5 cm
C 7.5 cm
D 3.0 in
Answer:
I think 7.5 answer is right
Answer:
2.5 cm.
Step-by-step explanation:
7.5 - 5
= 2.5
R
On his first three tests Al averaged 76 out of 100.
What score out of 100 must he get on the fourth
test so his average will be 81?
Al must score 96 in his final test to get an average of 81.
An average or mean is one number chosen to represent a group of numbers; it is often the sum of the numbers divided by the number of numbers in the group.
If every number in a list is the same number, then the average of the numbers in the list is also this number. Every one of the diverse varieties of average shares this characteristic.
The sum of the of the numbers 2, 3, 4, 7, and 9 is 25, the average of the numbers is equal to 25 divided by 5=5.
Let Al scores x on final test.
Average score on first 3 tests=76
Total score on first 3 tests=76×3=228
Total score in 4 tests=228+x
Average score of 4 tests=(228+x)÷4
Average to be obtained in 4 tests=81
therefore we can equate the two expressions to calculate x.
(228+x)÷4=81
or, 228+x=324
or,x=324-228
or, x=96
Hence Al needs to get 96 on his final test so that his average is 81.
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ASAP help please!!!
Answer:
linear
Step-by-step explanation:
Write an equation of the line and interpret the slope and y intercept (Will award brainiest answer)
Answer:
[tex]y = 120x [/tex]
Step-by-step explanation:
Equation of a straight line is
[tex]y = mx + b[/tex]
m= slope of line = rise/run which can be computed by taking two points on the line, finding the difference I the y coordinate values and dividing by the correspoding difference in their x coordinate values
b is the y-intercept where the line crosses the y-sxis
Looking at the graph we can see that the line crosses the y-sxis at the origin (0, 0) so the y-intercept is at y=0
The slope is determined by examining the two highlighted points (3, 360) and (2, 240)
Slope =
[tex] \frac{360 - 240}{3 - 2} = \frac{120 }{1} = 120[/tex]
So equation of line is
[tex]y = 120x + 0[/tex]
or
[tex]y = 120x[/tex]
The ratio of the measures of the three sides of a triangle is 9: 7: 5 . Its perimeter is 191.1 inches. Find the measure of each side.
Answer:
81.9 inches, 63.7 inches, 45.5 inches respectively
Step-by-step explanation:
Total number of units = 9+7+5 = 21
21 units = 191.1 inches
1 unit = 191.1/21 = 9.1 inches
9 units = 9.1 x 9 = 81.9 inches
7 units = 9.1 x 7 = 63.7 inches
5 units = 9.1 x 5 = 45.5 inches
Over the last 20 years, technology has improved our access to information and changed the way we communicate. A letter that would have taken days or weeks to arrive can now be sent as an email and reach its recipient almost instantly.
In what ways does algebra act as a tool to improve communication? How does algebra affect how people can learn from each other?
Algebra is a universal language used in communicating ideas, and it therefore improves how people can teach or learn ideas from others
What is algebra?Algebra is the mathematics representation of ideas, problems, situation or solutions using mathematical expressions.
Algebra makes use of numbers, variables, and operators to give value or convey information.
Algebra is therefore an indispensable communication tool that is used in all walks of life to improve understanding of disseminated information, from the original source, to the intended destination and beyond, without, losslessly losing any substance, value or understanding.
With algebra, a doctor speaking a foreign language in a remote location can perform complex and emergency operational procedures based on guidance from another doctor communicating through the internet to his exact location and a local robot that is able translate verbal information into action based on algebraic relationships.
Algebra allows the foreign doctor to obtain or look for specific health metrics and indicators.
It allows the foreign doctor to understand the cost implications as well as to avoid dangerous situations and risk factors which are best specified by algebraic relation, that is understandable to all languages, given that it is based on numbers and variables.
Algebra therefore is one of the main means through which one person can teach another or communicate ideas.
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Yogurt Express charges $0.27 per ounce for yogurt. Maria pays $8.37 for her yogurt. How many ounces of yogurt did Maria get?
Answer:
31 oz.
Step-by-step explanation:
8.37/0.27 = 31
if one ounce equals $0.27, then Maria bought 31 ounces with the $8.37
unless she had to pay taxes on it, which wasn;t mentioned so I guess she didn't pay taxes :)