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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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]
You are on a boat in the ocean, at point A. You locate a lighthouse at point D, beyond the line of sight of the marker at point C. You travel 90 feet west to point B and then 36 feet south to point C. You travel 100 feet more to arrive at point E, which is due east of the lighthouse. What is the distance from point E to the lighthouse?
Answer:
Step-by-step explanation:
Step-by-step explanation:
Since, after making the diagram of this situation,
We get two triangles ABC and CED,
In which AB = 90 feet, BC = 36 feet and CE = 100 feet,
Now,
( Vertically opposite angles )
( Right angles )
By AA similarity postulate,
By the property of similar triangles,
Since, point D represents the lighthouse.
Hence, the distance from point E to the lighthouse = 250 feet
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:
Write a fraction that is equal to 5
Answer:
5/1
Step-by-step explanation:
I need help with whole thing teacher is putting pressure on me and I have a 10 in her class
Answer:
So... for problem 15. im gonna help you and maybe you'll understand how to do it:) So the X axis is the horizontal line and the Y axis is the vertical line.
So when it says X -4
Y 5
Then the point would be at -4 on the horizontal line and 5 positive points on the Y axis (vertical line)
Step-by-step explanation:
I really hope this helps you its hard to describe over type:(
Good luck:))
The point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is y - 4 = (x – 8). What
is the slope-intercept form of the equation for this line?
O y = 1 x - 12
O y = -x-4
O y=+*+2
O y=x+6
Answer: y = x/4 + 2
Y equals one fourth x plus two.
Step-by-step explanation:
There seems to be a typo on answer choice c.
Slope intercept form is y= mx + b
m is the slope. b is the y-intercept.
The y-intercept is given here in the coordinate (0,2) It is +2
Slope is rise/run.
Rise: Difference in given y-values is 4-2 = 2.
Run: Difference in x-values is 8-0=8.
So the slope is 2/8 = 1/4
The equation is y = 1/4 x + 2
24% of 72 is what number? (will mark brainliest for full explanation)
Answer:
300
Step-by-step explanation:
Answer:
17.28
Step-by-step explanation:
Multiply 72 by .24, .24 being 24% because it is 24 out of 100.
At a store, 3 pieces of cake and 4 pieces of bread together
cost $18.60. The total cost of 2 pieces of cake and 2 glasses of
juice is $12.34. If one piece of cake costs 2 times as much as
one piece of bread, what is the total cost of 5 pieces of cake
and 4 glasses of juice? Include two decimal places in your
answer. For example if the answer is $12 enter it as $12.00.
9514 1404 393
Answer:
$28.40
Step-by-step explanation:
Using the given information, we can write three equations relating the three item prices. Let c, b, and j represent the cost of 1 item each of cake, bread, and juice.
3c +4b = 18.60
2c +2j = 12.34
c = 2b
Multiplying the third equation by 2 gives an expression for 4b that we can substitute into the first equation.
2c = 4b
3c +2c = 18.60
c = 18.60/5 = 3.72
Doubling the second equation almost gives us the purchase we want.
2(2c +2j) = 2(12.34)
4c +4j = 24.68
Adding one more cake to this give the desired purchase:
(4c +4j) +c = 24.68 +3.72
5c +4j = 28.40
The total cost of 5 pieces of cake and 4 glasses of juice is $28.40.
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
Multiply two and four-fifths negative five and two-thirds
PLZ HELP ME?!?!?!?!?!?!?!?!?!?!?!!!???!?!?!?!?
At the electronics store, James bought a headset that was originally priced at $90 for $60. What was the percent of change in the headset's price?
Answer:
30%
Step-by-step explanation:
i need help with this ^
Answer:
I think it's 3
Step-by-step explanation:
If 2 is c than subtract it and it's 3?
Helpppppppppppppppp it is due now
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 )
Stands steakhouse has a server to cook ratio of 5 to to tell a number of servers and cooks are 42 how many servers the stands steakhouse employ
Answer:
Stands Steakhouse has 210 servers.
Step-by-step explanation:
5 servers to 1 cook.
5/1 = x/42
x = 5 * 42 = 210
Todd and Kyle wrote down these numbers. Todd’s number is 78,452 Kyle’s number is 94,725 Which statement below is true about the values of the numbers? *
The value of the 2 in Todd’s number is 10 times larger than the value of the 2 in Kyle's number.
The value of the 5 in Kyle’s number is 10 times larger than the value of the 5 in Todd's number.
The value of the 4 in Kyle’s number is 10 times larger than the value of the 4 in Todd’s number.
The value of the 4 in Todd's number is 10 times larger than the value of the 4 in Kyle’s number.
Answer:
Your answer would be The third option or C
Step-by-step explanation:
Answer:
c) The value of the 5 in Kyle’s number is 10 times larger than the value of the 5 in Todd's number.
Step-by-step explanation:
math answer
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:
How will increasing the level of confidence without changing the sample size affect the width of a confidence interval for a population mean?
Answer:
The width of the confidence interval is going to be wider
Step-by-step explanation:
When we Increase the level of confidence without changing the sample size the width of the confidence interval is going to be affected in the following way;
The margin of error (M.E) is going to be larger or be increased. This increase is due to the fact that the critical value is going to increase. Then the increased margin of error would cause the width of the confidence interval to become wider.
This answers your question.
Which is true of the standard form of the equation of the line graphed the value of a can be
Answer:
Consider the equation 3p - 7 + p = 13. What is the resulting equation after the first step in the solution?
Step-by-step explanation:
answer-4p - 7 = 13
A game uses a single 6-sided die.
To play the game, the die is rolled one time, with the following results:
Even number = lose $10
1 or 3 = win $3
5 = win $8
What is the expected value of the game?
Write the next three terms: 7,10,13,16,
Answer:
7,10,13,16,19,21,24,27
Step-by-step explanation:
Add 3 every time
I hope this helped you! If it did, please consider rating, pressing thanks, and giving my answer 'Brainliest.' Have a great day! :)
PLEASE HELP I SUCK AT MATH
The answer to the question is B. [tex]y=4x[/tex]
[tex]4(2)=8\\4(3)=12\\4(4)=16\\4(5)=20[/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:
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:
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
ASAP Evaluate the expression: 20.16(0.375)
Answer:
7.56
Step-by-step explanation:
Just multiply
20.16 times 0.375
7.56
Answer:
Hii
The answer is 7.56.
Step-by-step explanation:
you multiply the value outside of the bracket with the value inside of the bracket.
Please help with both and leave a small explanation! I wanna double check my answers!
Answer:
(1)Hoops shadow would be 6 ft (2) model would be 3 cms
Step-by-step explanation:
9 / 3 = 3 3 x 2 = 6 ft
15 / 5 =3 3 x 1 = 3 cm
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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What is an equation in point-slope form of the line that passes through (1, −6) and (4, 6)?
Answer:
y=4x-10
Step-by-step explanation:
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