Answer:
1) 22
2) 19.5
3) 26
4) 12
5) False
6) True
7) Mean
8) False
9) Add all the numbers and divide by the total number of numbers
10) Bimodal
Step-by-step explanation:
1)Use the data to calculate the mean. 24, 31, 12, 38, 12, 15 *
To calculate mean you add all the numbers up and divide by the total number of numbers.
[tex]\frac{24 + 31+12+38+12+15}{6} = 22[/tex]
2) Use the data to calculate the median. 24, 31, 12, 38, 12, 15 *
For median, arrange the numbers from lowest to largest
12, 12, 15, 24, 31, 38
use (n+1) / 2 to figure out which value is the median
(6+1) / 2 = 3.5 (median is in between the 3rd and 4th value)
(15+24) / 2 = 19.5
3) Use the data to calculate the range. 24, 31, 12, 38, 12, 15 *
Range is max value - min value
38 is max and 12 is min
38 - 12 = 26
4) Use the data to calculate the mode. 24, 31, 12, 38, 12, 15 *
Mode is the value that appears most frequently
In this case 12 appears 2 times, therefore it is the mode
5) the mode represents the number that appears the least *
False, mode is the number that appears the most
6) To calculate the range we use the highest and lowest number ? *
True
7) Average is another word for *
mean
8) the range indicates the middle number ? *
False, range is the max value - min value
9) which statement best describes the mean. *
add all the numbers and divide by the total number of numbers
10) A data set with two modes is known as *
bimodal
___________________________________
hey!!
Given data=24,31,12,38,12,15summation fX=132
N(total no.of items)=6
Now,
Mean=summation FX/N
=132/6
=22
2. Arranging the data in ascending order
= 12,12,15,24,31,38
N=6
Median=(N+1/2)th item
= (6+1/2) th item
=(7/2)th item
=3.5 th item
Again,
median=3 rd item + 4th item/2
=15+24/2
= 39/2
=19.5
3.Range= highest score- lowest score
=38- 12
=26
4. Mode= 12 because it has more frequency.
______________________________________
Answers:2219.5 26 12FalseTrueMeanFalseadd the numbers and divide by the total number of numbers bimodalHope it helps...Good luck on your assignment
________________________________
A motorboat travels 50 miles downstream in a river, then turns around and travels back to its starting point. The total trip takes 8 hours. The rate of the current in the river is 2miles per hour. Remembering that distance = rate x time, what is the rate of the motorboat in calm water? HELP NEEDED ASAP
A. 0.31 miles per hour
B. 2.08 miles per hour
C. 12.5 miles per hour
D. 12.8 miles per hour
Answer:
The speed of the boat in calm water is 12.8 miles per hour.
Step-by-step explanation:
While going downstream the speed of the boat is "x + 2", where x is the speed in calm water, while going upstream the speed of the boat is "x - 2". He made a trip that had two legs, each with a distance of 50 miles, therefore, the sum of the times it took him to complete each leg must be equal to the total time of the trip.
[tex]speed = \frac{distance}{time}\\\\time = \frac{distance}{speed}[/tex]
For the upstream:
[tex]time_{up} = \frac{50}{x - 2}[/tex]
For the downstream:
[tex]time_{d} = \frac{50}{x + 2}[/tex]
The sum of each of these times must be equal to "8 h", therefore:
[tex]8 = time_{up} + time_{d}\\\\8 = \frac{50}{x - 2} + \frac{50}{x + 2}\\\\8 = \frac{50*(x+2) + 50*(x - 2)}{(x-2)*(x+2)}\\\\8*(x-2)*(x+2) = 50*x + 100 + 50*x - 100\\\\8*(x^2 - 4) = 100*x\\\\8*x^2 - 100*x - 32 = 0\\\\x^2 - 12.5*x - 4 = 0\\\\x_{1,2} = \frac{-(-12.5) \pm \sqrt{(-12.5)^2 - 4*(1)*(-4)}}{2}\\\\x_{1,2} = \frac{12.5 \pm \sqrt{156.25 + 16}}{2}\\\\x_{1,2} = \frac{12.5 \pm \sqrt{172.25}}{2}\\\\x_{1,2} = \frac{12.5 \pm 13.124}{2}\\\\x_1 = 12.812\\\\x_2 = -0.312[/tex]
Since the speed can't be negative in this context, the only possible answer is 12.812 mph.
Answer:
12.8
Step-by-step explanation:
a.
Use the domain and range of each of the following relations to determine which is a function.
{3, 7, - 7,9}
b. {(3,9), (7. - 4), (-7,7)}
• {(3,9), (7. - 4), (37)
d. {(3,9), (7. - 4), (7,6), (-7, 7)}
Please select the best answer from the choices provided
Answer:
Option B.
Step-by-step explanation:
A relation is called a function if there exist unique value of y for each value of x.
In option (a), [tex]\{3,7,-7,9\}[/tex] is set not a relation.
In option (b), [tex]\{(3,9),(7,-4),(-7,7)\}[/tex] is function because there exist unique value of y for each value of x.
In option (c), [tex]\{(3,9),(7,-4),(3,7)\}[/tex] is not function because there exist two value of y, which are 9 and 7, for x=3.
In option (d), [tex]\{(3,9),(7,-4),(7,6),(-7,7)\}[/tex] is not function because there exist two value of y, which are -4 and 6, for x=7.
Therefore, the correct option is B.
Answer: B.{(3,9), (7. - 4), (-7,7)}
Step-by-step explanation: got it right on edge
WHY CAN'T ANYONE HELP ME? 1. In Michigan, the sales tax rate is 6%. Suppose that an item costs $50.88 including tax. How can we use algebra to find the price of the item before tax was added? What is the price before tax? Note: Using x = the price before tax, write an equation, and show solving steps to find x. (SOLVE AND CHECK) ($47.83 WON'T BE THE CORRECT ANSWER)
Answer: $48
Step-by-step explanation:
From the question, we are told that in Michigan, the sales tax rate is 6% and that an item costs $50.88 including tax.
Let the cost of the item before tax be x. This means that x plus 6% of x equals to $50.88. This can be mathematically expressed as:
x + (6% of x) = $50.88
x + (6/100 × x) = $50.88
x + (0.06 × x) = $50.88
x + 0.06x = $50.88
1.06x = $50.88
When then divide by the coefficient of x
1.06x/1.06 = #50.88/1.06
x = $48
The price before the tax is $48
Exponential function f is represented by the table.
x 0 1 2 3 4
f(x) 15 7 3 1 0
Function g is an exponential function passing through the points (0,9) and (3,0).
Which statement correctly compares the two functions?
A.
Both functions are decreasing on [0, 3], and function g is decreasing at a faster rate.
B.
Only function g is decreasing on [0, 3], and only function f is positive on that interval.
C.
Only function f is decreasing on [0, 3], and both functions are positive on that interval.
D.
Both functions are decreasing on [0, 3], and function f is decreasing at a faster rate.
Considering the given exponential functions, it is found that the correct statement is:
D. Both functions are decreasing on [0, 3], and function f is decreasing at a faster rate.
What is the behavior of each exponential function?For function f, we have that it is decreasing, as it is greater at x = 0 than at x = 4, and it decreases by an average of 3.75 units when the input changes by 1.For function g, we also have that it is decreasing, as as it is greater at x = 0 than at x = 3, and it decreases by an average of 3 units when the input changes by 1.Hence option D is correct.
More can be learned about exponential functions at https://brainly.com/question/25537936
Find the product of (x − 5)2. (1 point)
Answer:
x² - 10x + 25
Step-by-step explanation:
Given
(x - 5)² = (x - 5)(x - 5)
Each term in the second factor is multiplied by each term in the first factor, that is
x(x - 5) - 5(x - 5) ← distribute both parenthesis
= x² - 5x - 5x + 25 ← collect like terms
= x² - 10x + 25
If sec x = −13/5 and tan x < 0, then cos x =
Answer:csc(x
Step-by-step explanation:You welcome
can someone please help with this
tan x = 7/14
Answer:
x=0.5
Step-by-step explanation:
7 is half of 14, so for x to be equal to 7/14 it's also equal to 0.5
please help :))))))))
Answer:
Look at the attachment
In the image below, m2OMN = (2x+9) and m2 LMN = (6x-7) and m2 OML = 66.
Find m ZOMN and m LMN
Answer:
m<OMN = 25
m<LMN = 41
Step-by-step explanation:
m<OMN = 2x + 9
m<LMN = 6x - 7
m<OML = 66
m<OMN + m<LMN = m<OML
2x + 9 + 6x - 7 = 66
8x + 2 = 66
8x = 64
x = 8
m<OMN = 2x + 9 = 2(8) + 9 = 16 + 9 = 25
m<LMN = 6x - 7 = 6(8) - 7 = 48 - 7 = 41
Answer:
m<OMN = 25
m<LMN = 41
if f(x)=4^x-8 and g(x)=5x+6, find (f+g)(x)
Answer:
work is shown and pictured
can someone help me??????
Answer:
25.2
Step-by-step explanation:
Volume of container: 2x3x5=30
0.84x30=25.2
On a coordinate plane, a triangle has points R (negative 1, 3), S (3, negative 2), and T (1, negative 4). Which reflection will produce an image of ΔRST with a vertex at (2, –3)? a reflection of ΔRST across the x-axis a reflection of ΔRST across the y-axis a reflection of ΔRST across the line y = x a reflection of ΔRST across the line y = –x
Answer:
a reflection of ΔRST across the line y = –x
Step-by-step explanation:
A reflection across the line y = –x transforms point (x, y) into (-y, -x)
After reflecting ΔRST across the line y = –x we get:
R (-1, 3) -> (-3, 1)
S (3,-2) -> (2, -3)
T (1, -4) -> (4, -1)
where S is at the desired vertex
Answer:
The answer is D
Step-by-step explanation:
Have a nice day!
The histogram shows the scores of each participant in a game for a total of 100 participants. What is the ratio of participants who score 80 to 99 to the total number of participants? 17 participants scored 80-99
PLZ HELP NO WORK NEEDED JUST GIVE ME A PROPER ANSWER!
Answer:
incorrect: y= -1.5x
correct: The slope is 3.
HOPE I HELPED!!!
Step-by-step explanation:
Answer:
-1/2
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(9-7)/(-6-(-2))
m=2/-4
m=-1/2
The shape on the left is transformed to the shape on the right.
B
A'.
B
с
A
D
C
Which of the following statements describes the transformation?
O ABCD →A'B'C'D'
O A'B'C'D' → ABCD
ABCD→D'A'C'B'
O D'B'C'A → CADB
Answer:
Step-by-step explanation:
definitely A
A key code must contain 4 numerals. There are 10 numerals available. Using
these numerals, how many different key codes may be created?
O A. 180
B. 210
O C. 3,060
O D. 5,040
Answer:
B, 210
Step-by-step explanation:
there is 10 options for the first one, 9 option for the second, 8 options for the third and 7 for the last. 10*9*8*7=5040, which is d
First number can be 1 out of 10
Second number can be 1 out of 9
Third number can be 1 out of 8
Fourth number can be 1 out of 7
Total combinations = 10 x 9 x 8 x 7 = 5,040
The answer is D. 5,040
Pleaseeeeee HELP!!! ASAP
Answer:
I think its D
Garrett has a current checking account balance of $495. Over the next three days, he receives a direct deposit of $775.75 from his job, pays an annual online banking fee of $34, and makes purchases of $44.21 and $7.92. He then withdraws $80 from an ATM that charges a $2.50 usage fee. What is Garrett's account balance at the end of the 3-day period? Write your answer in numeric form, such as 1369.05.
Answer:
1102.42
Step-by-step explanation:
495 + 775.75=1270.75
1270.75 - 34=1236.75
1236.75 - 44.21=1192.54
1192.54 - 7.92=1184.62
1184.62 - 82.2=1102.42
Answer:$1102.12
Step-by-step explanation: You just add the $775.75 to the original $495 then from there you subtract the rest of the numbers from the total amount and you get $1102.12
Please help I need it done it is my last homework thank you...
Answer:
98%
Step-by-step explanation:
Percent means out of 100
49/50
Multiply the top and bottom by 2
49*2 = 98
------------
50*2 = 100
98/100
The percent is 98%
_________________________________
Hey!!
Solution,
49/50*100%
=98%
So the right answer is 98%
hope it helps..
Good luck on your assignment
_____________________________
Which algebraic expression is a difference with two terms?
Answer:
B)
Step-by-step explanation:
6x - 9
Here, 6x is a term and -9 is another term
a) write a formula for the perimeter p of the figure.
b) calculate the value of x if p=64
Answer:
[tex]x-2+x+10+x+11=64\\\\3x+19=64\\3x=64-19\\3x=45\\x=15\\[/tex]
Factor to find the zeros of the function k(x) = x2+ 10x - 200.
Answer: x=10, x=-20
Step-by-step explanation:
To find the zeros of the function, we will have to factor the function.
k(x)=x²+10x-200
k(x)=(x-10)(x+20)
Now that we have factored the equation, we set the equation eaul to 0 to find the zeros.
0=(x-10)(x+20)
x-10=0
x=10
x+20=0
x=-20
Answer:
Solve the rational equation by combining expressions and isolating the variable
v
v
.
v
=
x
k
+
10
k
−
200
k
x
Step-by-step explanation:
what property is 5(8+3)=5*8+5*3?
Answer:
distributive property
Step-by-step explanation:
5(8+3)=5*8+5*3
This is an example of the distributive property
The 5 is distributed to each of the terms inside the parentheses
anyone wanna help with this short chart right quick
Answer:
should look like this
Step-by-step explanation:
sorry for the messiness was a quick sketch
The red figure is the transformed image of the blue figure. Malcolm correctly identifies a sequence of two transformations that can move the blue figure onto the red figure. Ursa correctly identifies a single transformation that can be used. Use the drop-down menus below to complete the statements describing the transformations they used.
Answer:
Step-by-step explanation:
Malcolm's transformation:
First, the blue image is reflected about the line y=-5
Then it is rotated 180 degrees around the point (0,-5)
(you can have other options this is just one example)
Ursa's transformation:
The blue image is reflected about the y axis
(you can have other options this is just one example)
First the blue image with coordinates (x, -y) is translated to get (-x, -y) then it is rotated 180° to get the point (-x, -y) which is the coordinate of the pink image.
What is transformation?A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure.
First the blue image is translated
Then it is rotated 180° to get the red figure with coordinates (-x, -y)
Two transformation that is equivalent to a reflection
Hence, the two transformations are;
First the blue image with coordinates (x, -y) is translated to get (-x, -y)
Then it is rotated 180° to get the point (-x, -y) which is the coordinate of the pink image.
For more references on transformations, click;
https://brainly.com/question/11709244
#SPJ2
What is the slope of the line represented by the equation Y= 4/5x-3
Answer:
4/5
Step-by-step explanation:
y=mx+b where m is slope
Answer: 4/5
Step-by-step explanation:
Slope is denoted by m, hence the equation y = mx + b. In this equation, 4/5 is the slope
A 39 foot ladder is resting against a wall that is 36 feet high. What is
the distance between the base of the ladder and the bottom of the wall?
5 feet
10 feet
15 feet
Answer:
11
Step-by-step explanation:
Create a two column proof of each problem. Please help!!
Step-by-step explanation:
In this way it is proved
A box contains cards that are numbered from 1 to 100. What is the probability of randomly selecting a number that is less than
1/100
1/12
11/100
12/100
Answer:
1-100 cannot be more than 1 or 1 so the answer is 0/100
1-12 can be maximum 12/100
11/100 does not include 10 therefore 90/100
12/100 does not include 11 therefore 89/100
Step-by-step explanation:
1-100 cannot be more than 1 or 1 so the answer is 0/100
1-12 can be maximum 12/100
11/100 does not include 10 therefore 90/100
12/100 does not include 11 therefore 89/100
Which statements are true?
Select each correct answer.
All squares are parallelograms.
No trapezoids are parallelograms.
All rectangles are squares.
All rectangles are quadrilaterals.
Answer:
All squares are parallelograms, and all rectangles are quadrilaterals are both true
Step-by-step explanation:
Answer:
The answer is a and d
a) All squares are parallelograms
d) All rectangles are quadrilaterals
hope i helped!