Given the set of test scores: 71, 75, 80, 81, 81, 84, 89, 93. If a score of 50 is added to the data set, which statement is true? Select all that apply. Choose all that apply:
The mean decreases.
The median decreases.
The standard deviation increases.
The range increases.
Answer:
The standard deviation increases, it's mean, medium and mode, if you put them in order and then go through and get your middle number it'll be 81.
If a score of 50 is added to the data set,
The standard deviation increases.
The range increases.
What is mean?"It is the average of all elements of the data set."
What is median?"It is the middle number in a sorted list of numbers."
Formula to calculate the standard deviation:[tex]SD=\sqrt{\frac{\sum{(x-M)^{2}} }{N} }[/tex]
where, SD is the population standard deviation
N : the size of the population
x : each value from the data
M : the mean of the data
Formula to calculate the range of the data:range = maximum value - minimum value
For given situation,
Consider the original set of test scores: 71, 75, 80, 81, 81, 84, 89, 93
N = 8
range R = 93 - 71
⇒ R = 22
Mean M = (71 + 75 + 80 + 81 + 81 + 84 + 89 + 93)/8
⇒ M = 654/8
⇒ M = 81.75
Now, we find the median K
First we sort given data set: 71, 75, 80, 81, 81, 84, 89, 93
The middle numbers are 81 and 81
So, the median is the average of 81, 81
So, K = 81
Now, we calculate the standard deviation.
[tex]SD=\sqrt{\frac{[(71-81.75)^{2}+(75-81.75)^{2}+...+(89-81.75)^{2}+(93-81.75)^{2}] }{8} }[/tex]
⇒ SD = 6.61
Consider, the set of test scores with 50 added to the data set.
N = 9
range R = 93 - 50
⇒ R = 43
Mean M = (71 + 75 + 80 + 81 + 50 + 81 + 84 + 89 + 93)/9
⇒ M = 704/9
⇒ M = 78.22
Now, we find the median K
First we sort given data set: 50, 71, 75, 80, 81, 81, 84, 89, 93
The middle number is 81.
So, the median is K = 81
Now, we calculate the standard deviation.
[tex]SD=\sqrt{\frac{[(71-81.75)^{2}+(75-81.75)^{2}+...+(50-81.75)^{2}+(93-81.75)^{2}] }{9} }[/tex]
⇒ SD = 11.76
So, we can observe that if a score of 50 is added to the data set, the correct statements are:
The standard deviation increases.
The range increases.
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e length of a rectangle is five times its width. If the area of the rectangle is 320in, find its perimeter.
Answer:
Step-by-step explanation:
Let width of rectangle =X
So length=5x
Given area of rectangle =320inch
Area of rectangle =length ×width
Length×width=320
5X×X=320
5x^2=320
x^2=320/5
x^2=64
So X=√64
Width x= 8inch
Length 5x=5×8
= 40 inch
Perimeter of rectangle =2(length+width)
=2(40+8)
=2(48)
=96inch
What's the slope and y-intercept?
Help please!!!
Answer:
slope of fig 1st(m)= 1/4
y-intercept of 1st fig=-1
slope of fig 2= -1
y-intercept of 2nd fig=2
Step-by-step explanation:
For which equation does x = 2?
Answer:
what are the equations
Step-by-step explanation:
Salvador is 15 years older than Elizabeth. In 6 years, the sum of their ages will be 87. How old are they now?
please include and explantation
Answer:
????
Step-by-step explanation:
Please help and leave a small explanation if u want brainliest :)
Answer:
B is true
Step-by-step explanation:
ratio of all corresponding sides are equal
Answer:
B) Triangle ABC is similar to triangle EFG
Step-by-step explanation:
they are similar eve tho they are not the same size. But they arnt congrent cause they are diffrent sizes.
Alex is writing statements to prove that the sum of the measures of interior angles of triangle PQR is equal
Answer:
here
Step-by-step explanation:
Alex is writing statements to prove that the sum of the measures of interior angles of triangle PQR is equal to 180°. ... Triangle PQR has vertex P on line n and vertices Q and R on line m. Angle QPR is 80 degrees. Segment PQ makes 40 degrees angle with line n and segment PR makes 60 degrees angle with line n.
Answer:
Angle PQR measures 40 degrees
Step-by-step explanation:
No explanation took the test got it right.
Little late but, oh well, better late than never.
Write a fraction that is equal to 5
Answer:
5/1
Step-by-step explanation:
I need help with 10 please!!!!!!!
From the graph, [tex]y=mx+b[/tex] and m < 0 (The slope right here is less than 0.)
That means cut ( b ) and ( d ) choice, they both are wrong.
Now look at ( a ) and ( c ).
For ( a ) It's just f(x) = -2x but the graph that's shown here intercepts y-axis at (0,2). f(x) = -2x is just slope and intercepts y-axis at (0,0)
So the answer is ( c )
Lin swims 10 laps in the pool in 25 minutes.
How many minutes per lap is that?
I am not good at math (о´∀`о)
Answer:
The answer is 2.5 minutes per lap.
Step-by-step explanation:
Divide the number of minutes by the amount of laps:
25/10 = 2.5
To check your answer, multiply 2.5 my the amount of laps.
2.5 x 10 = 25
I hope this helped you! If it did, please consider rating, pressing thanks, and/or giving my answer 'Brainliest.' Have a wonderful day. :)
Answer:
40 seconds per lap
Step-by-step explanation:
10 divided by 25 is 0.4
So im pretty sure the anser is 40 secounds
Sorry if im wrong- im not that great at math eaither I just used a calculator.
How many hundreds are in 200 + 10 + 6
Answer:
Two.
Step-by-step explanation:
200 + 10 + 6 = 216
216 divided by 100 is 2.16
Therefore there are two hundreds in 200 + 10 + 6
Help and please do not report I got an practice thing from my tutor, so it's not a quiz.
Answer:
The answer is D. II 1 > -2 and III -2< 1 Hopefully this is helpful!
Step-by-step explanation:
In the diagram, lines m and n are parallel. What is the measure of w?
Answer:
35 degrees
Pleaase seek help u need to be smarter than this giv me brainilest
An ice cream shop ordered a box of 700 cones. When they opened the box, they noticed 164 of the cones were broken. How many cones do they have left? *
Answer:
The answer would be 536 cones.
Step-by-step explanation:
You have to subtract 164 from 700.
700-164=536.
After a 15% increase, a town has 115 people. What was the population before the increase?
Answer:
100 people
Step-by-step explanation:
Population Of People=115Percentagencrease=15%
The New Population corresponds to 115%
(That is 100+15)
We want to find the population that corresponds to 100% that is the original population.
Therefore Original Population;
[tex] \frac{100}{115}\times {115}{} [/tex]
[tex]100 \: people[/tex]
Consider random samples of size 900 from a population with proportion 0.65 . Find the standard error of the distribution of sample proportions.
Answer:
The value is [tex]\sigma_{p} = 0.022[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 900
The population proportion is [tex]p = 0.65[/tex]
Generally the standard error of the distribution of sample proportion is mathematically represented as
[tex]\sigma_{p} = \sqrt{\frac{ p(1 - p)}{ n} }[/tex]
=> [tex]\sigma_{p} = \sqrt{\frac{ 0.65 (1 - 0.65 )}{ 900} }[/tex]
=> [tex]\sigma_{p} = 0.022[/tex]
Nine hundred light bulbs are packaged and shipped to a retail store. Thirteen percent of the light bulbs arrive broken. Which equation can be used to find the number of light bulbs that were broken? StartFraction 13 times 9 Over 100 times 9 EndFraction = StartFraction 117 Over 900 EndFraction StartFraction 13 times 9 Over 900 times 9 EndFraction = StartFraction 117 Over 8100 EndFraction StartFraction 100 divided by 9 Over 900 divided by 9 EndFraction = StartFraction 11.1 Over 100 EndFraction StartFraction 900 divided by 9 Over 13 divided by 9 EndFraction = StartFraction 100 Over 1.4 EndFraction
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
I can't help solve my friends problems,I got too much to do help him out please
Answer:
the ask a question about the question isnt working
Step-by-step explanation:
but can you zoom in its really glitchy and blurred from far away
Yeah I would also need it zoomed in please.
Multiply two and four-fifths negative five and two-thirds
Fihd the area of the triangle.
6
8
square units
Answer:
area of triangle is
[tex]\frac{1}{2} * b*h\\\\\frac{1}{2} *6*8\\\\6*4=24[/tex]
Who ever gets it right gets a Brainliest
Answer:
im pretty sure thats a trench ;_;
Step-by-step explanation:
Find the distance between the points (-3, -6) and (1, -2).
Answer: -3 - 1 = -4
Your Answer I think is -4 Hope This helps If I'm Wrong I apoligize.
x + 3y = 13
- 3x + 2y = 27 steps on how to solve by substitution
here x+3y=13
x=13-3y.....1st equation
-3x+2y=27......2nd euation
now putting the value of x from equation 1st in 2nd we will get
-3(13-3y)+2y=27
-49+9y+2y=27
11y=27+49
y=76÷11
y=6.9
now again putting the value of y in equation 1st we get
x=13-3×6.9
x=13-20.7
x=7.7
25
50
75
100
y
5
10
15
20
Write an equation to represent the proportional relationship.
A spinner is divided into eight equal-sized sections, numbered from 1 to 8, inclusive. What is true about spinning the spinner one time? Select three options. S = {1, 2, 3, 4, 5, 6, 7, 8} If A is a subset of S, A could be {1, 2, 3}. If A is a subset of S, A could be {7, 8, 9}. If a subset A represents spinning a number less than 4,then A = {1, 2, 3, 4}. If a subset A represents the complement of spinning an odd number, then A = {2, 4, 6, 8}.
Answer: A, B, and E
Step-by-step explanation:
The true statements are (A) A could be {1, 2, 3} and (B) A could be {1, 2, 3, 4}, where A is a subset of S
How to determine the true statements?The sample space is given as:
S = {1, 2, 3, 4, 5, 6, 7, 8}
The possible subsets of S are as follows:
Even numbers = {2,4,6,8}Odd numbers = {1,3,5,7}Any number or group from 1 to 8, inclusiveUsing the above highlights, the possible set of A are:
A could be {1, 2, 3}. A = {1, 2, 3, 4}.Hence, the true statements are (A) and (B)
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plese help
plese
plese
Are these proportional?
Yes | No
Answer:
yes
Step-by-step explanation:
multiply 6 for the numerators and denominaters
Answer:
Yes they are proportional
Step-by-step explanation:
May I please have brainliest?
Trina earns $28.50 tutoring for 3 hours. Write an equation relating her earrings "m" to the number of hours "h" she tutors. Assuming the situation is proportional, how much would Trina earn tutoring for 2 hours? For 4.5 hours?
Answer:
Step-by-step explanation:
28.50/3=9.50 dollars per hour
y=9.50h
Trina earns $19.00 for 2 hours
Trina earns $42.75 for 4.5 hours
Answer:
If Trina earns $28.50 in 3 hours, that means she earns $9.50 per hour.
9.50h = m ---> earnings = 9.50 x hours
2 hours = 9.50 ( 2) = $19
4.5 hours = 9.50 ( 4) = $42.75
Step-by-step explanation:
Which of the following is a biconditional statement?
Question 17 options:
A)
If x ≠ 5 then x2 ≠ 25
B)
If x2 = 25, then x = 5 or x = –5
C)
x = 5 if x2 = 25
D)
x = 5 if and only if x + 5 = 10
It is D
I just took the test and got it right
The biconditional statement is x = 5 if and only if x + 5 = 10.
Option D is the correct answer.
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,
Biconditional statement.
This means,
The statement and its converse are both true.
Now,
x = 5 if and only if x + 5 = 10
This shows that both the statement and its converse are true.
Thus,
x = 5 if and only if x + 5 = 10 is a biconditional statement.
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How many cups are in 3 gallons? 1 gallon = 16 cups
Label your answer in cups.
Answer:
48 cups
Step-by-step explanation:
Answer: 48
Step-by-step explanation:
Usually, I would do the four cups in one gallon thing. This time, I don't need to because we already know how many cups there are in one gallon. Just multiply 16 by 3 to find how many cups.
= 16 x 3
= 48