Answer:
Step-by-step explanation:
League A League B
151.12 163.25
148 157
26.83 24.93
29 136
136 145
167 178
207 256
League A in ascending order :
26.83 , 29 , 136, 148 , 151.12 , 167,207
[tex]Mean = \frac{\text{Sum of all observations}}{\text{No. of observations}}\\\\Mean = \frac{26.83+29 +136+ 148+ 151.12+ 167+207}{7}\\\\Mean =123.564[/tex]
Median = Mid value of data
n = 7
So, mid value = 4th term
Median=148
Standard deviation=[tex]\sqrt{\frac{\sum(x_i-\bar{x})^2}{n}}[/tex]=[tex]=\sqrt{\frac{(26.83-123.564)^2+(29-123.564)^2+.......+(207-123.564)^2}{7}}=63.98[/tex]
To Find Q1
Q1 is the mid value of lower quartile
Lower quartile : 26.83 , 29 , 136, 148
n = 4
Q1=82.5
To Find Q3
Q3 is the mid value of upper quartile
Upper quartile : 148 , 151.12 , 167,207
n = 4
Q3=159.06
IQR = Q3-Q1=159.06-82.5=76.56
To find outlier
(Q1-1.5IQR ,Q3+1.5IQR)
[tex](82.5-1.5\times 76.56,159.06+1.5\times 76.56)[/tex]
(-32.34,273.9)
So, There is no outlier
Maximum = 207
2)
League B in ascending order :
24.93,136,145,157,163.25,178,256
[tex]Mean = \frac{\text{Sum of all observations}}{\text{No. of observations}}\\\\Mean = \frac{24.93+136+145+157+163.25+178+256}{7}\\\\Mean =151.45[/tex]
Median = Mid value of data
n = 7
So, mid value = 4th term
Median=157
Standard deviation=[tex]\sqrt{\frac{\sum(x_i-\bar{x})^2}{n}}[/tex]=[tex]=\sqrt{\frac{(24.93-151.45)^2+(136-151.45)^2+.......+(256-151.45)^2}{7}}=68.42[/tex]
To Find Q1
Q1 is the mid value of lower quartile
Lower quartile : 24.93,136,145,157
n = 4
[tex]Median = \frac{\frac{n}{2} \text{th term}+(\frac{n}{2}+1) \text{th term}}{2}\\Median = \frac{\frac{4}{2} \text{th term}+(\frac{4}{2}+1) \text{th term}}{2}\\Median = \frac{2 \text{th term}+3 \text{th term}}{2}\\Median = \frac{136+145}{2}=140.5[/tex]
Q1=140.5
To Find Q3
Q3 is the mid value of upper quartile
Upper quartile : 157,163.25,178,256
n = 4
Q3=170.625
IQR = Q3-Q1=170.625-140.5=30.125
To find outlier
(Q1-1.5IQR ,Q3+1.5IQR)
[tex](140.5-1.5\times 30.125,170.625+1.5\times 30.125)[/tex]
(95.3125,215.8125)
24.93 and 256 are outliers
Maximum = 256
Solve the equation for the red variable.
Answer:
w=6(6.6667-g)
Step-by-step explanation:
g=1/6w+6.6667
-1/6w=6.6667-g
-w=6(6.6667-g)
w=6(6.6667-g)
Make s the subject of the formula
T^2=2p+as
Step-by-step explanation:
Original formula: T^2 = 2p + as
T^2 - 2p = as
s = (T^2 - 2p) / a
Matthew scored 84 points in the first 6 games of the basketball season. How many points per game has Matthew scored?
Answer:
He scored 14 points per game.
84/6
Step-by-step explanation:
Good luck!
Answer:
14
Step-by-step explanation:
To find the unit rate for the question you have to divide 84 by 6
a sequence is Defined by the formula F(n+1)=f(n)-3. If f(4)=22, what is f(1)
a)10
b)13
c)31
d)34
Answer:
The answer is 13 hope it helps!<3
Step-by-step explanation:
Why is it that when comparing a squares area with a rectangles area, with the SAME PERIMETER, that the square has a greater area?
s = side length of square
4s = perimeter of square
L = length of rectangle
W = width of rectangle
P = 2L+2W = perimeter of rectangle
4s = 2L+2W .... since we want the perimeters the same
4s = 2(L+W)
s = 0.5(L+W)
s^2 = (0.5(L+W))^2 ... square both sides
s^2 = 0.25(L+W)^2
The last equation shows the area of the square, s^2, in terms of L and W. This way we can connect the square to the rectangle.
-----------------------------------
The area of the rectangle is LW
Let's subtract this from the area of the square and see what we get
A = area of square = s^2
B = area of rectangle = LW
C = difference in area
C = A - B
C = s^2 - LW
C = 0.25(L+W)^2 - LW
C = 0.25(L^2+2LW+W^2) - LW
C = 0.25L^2+0.5LW+0.25W^2-LW
C = 0.25L^2-0.5LW+0.25W^2
C = 0.25(L^2-2LW+W^2)
C = 0.25(L-W)^2
Regardless of what we pick for L and W, the expression (L-W)^2 is always positive. Squaring a negative number leads to a positive result.
So C is always positive as long as [tex]L \ne W[/tex]
If C > 0, and C = A - B, then
C > 0
A-B > 0 .... replace C with A-B
A > B .... add B to both sides
This shows the square area is always larger than the rectangle.
Again this only works if L and W are different values. If L = W, then the argument falls apart because the rectangle becomes the square.
We make [tex]L \ne W[/tex] to have a nonsquare rectangle.
X^2+ 17x+91=0
Help please!!
Answer:
x^2+17x+91=0
a = 1; b = 17; c = +91;
Δ = b2-4ac
Δ = 172-4·1·91
Δ = -75
Delta is less than zero, so there is no solution for the equation
Step-by-step explanation:
The recipe makes enough stew for 6 people, and the ingredients cost $9.75. How much would it cost to serve 24 people? A student solved the problem using the proportion StartFraction 6 over 9.75 EndFraction = StartFraction c over 24 EndFraction Explain the error in this proportion.
Answer: in the second ratio, the number of people is the denominator. It should be the numerator to match the first ratio.
Answer:
the denominator in 6/9.75 is incorrect
Step-by-step explanation:
find unit rate then x 24 numerator. 24 the denominator,
the denominator in 6/9.75 is incorrect.
An electrician cuts a 30 ft piece of wire into 2 pieces. One piece is 2ft longer than the other. How long are the pieces?
Answer:
piece1: 14 feet
piece2: 16 feet
Step-by-step explanation:
piece1: x
piece2: x + 2
x + x + 2 = 30
2x + 2 = 30
2x = 28
x = 14
piece1: x = 14
piece2: x + 2 = 14 + 2 = 16
NEED HELP ASAP PLEASE.
Answer:
b.40
Step-by-step explanation:
Find the value of a and b when x =10
Answer:
A=250
B=10
Step-by-step explanation:
You plug in 10 for x and solve
HELP GEOMETRY TRIANGLES
Answer:
x=21
Step-by-step explanation
-3+-4^2 divided by 2
Answer:
The answer to your question is -11
Answer:
-11
Step-by-step explanation:
Hope this helps! ^-^
PLEASE HELP ME WITH THIS ILL BRAINLIST PLS HELP SOLVE AS MANY AS U CAN
Answer:
a) d + f
b) 3d + f - 7
c) d + f + 25Step-by-step explanation:
A population of largemouth bass is 950 this year and the rate of decrease is 35% per year. How many bass will remain after 15 years of decay at this rate?
425
617
1
525
332
GIVING BRAINLIEST! what is the slope and the y-intercept of the line on the graph below?
Answer:
Your answer is C. the y intercept is 1 and the slope is -1/4. Hope this helped!
Step-by-step explanation:
Can you please answer this my homework is due ✨
how to solve this it says solve 6!
Answer:
720
Step-by-step explanation:
6*5*4*3*2*1=720
Please Help!!!!!!!!!
HELP ME PLS PLS PLS ILL BE BRAINLISTING
7.
a. This is an equation because it has to parts, separated by an equal sign
b. 5 because 5 is the number b is multiplied by in the first part
c. idk
d. a, b, and c are the variables
e. idk
sorry haven't done this in a while
PLS help in this questions. Thanks !
Answer:
D
Step-by-step explanation:
You are given the two sides and the abgle inbetween.
what are all the fractions that are equivalent to 5/6
Answer:
There are infinitely many equivalent fractions
Step-by-step explanation:
This is because all you have to do to find an equivalent fraction is multiply to numerator and denominator by the same number, and there are infinitely many numbers, therefore there are infinitely many equivalent fractions.
The shampoo Eva likes to use costs $6 for a 24-ounce bottle. The conditioner she likes to use costs $12 for a 30-ounce bottle. How much more per ounce does her conditioner cost than her shampoo? $ per ounce
Answer:
0.15
Step-by-step explanation:
6 divided by 24 equals 0.25
12 divided by 30 equals 0.4
0.4 minus 0.25 is 0.15
$0.15 more per ounce does her conditioner cost than her shampoo.
Given that, the shampoo Eva likes to use costs $6 for a 24-ounce bottle.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
The conditioner she likes to use costs $12 for a 30-ounce bottle.
Cost of shampoo per ounce =Total cost/Number of ounce
= 6/24
= $0.25 per ounce
Cost of conditioner per ounce =Total cost/Number of ounce
= 12/30
= $0.4 per ounce
Difference =0.4-0.25
= $0.15
Therefore, $0.15 more per ounce does her conditioner cost than her shampoo.
To learn more about the unitary method visit:
brainly.com/question/22056199.
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20% of Taddes’s salary is lost away and only 100 birr is left. Find his full salary.
Answer:
125 birr
Step-by-step explanation:
80%=100
1%=1.25
100%=125
What is the average rate of change of the functionf(x)=20(14)x from x = 1 to x = 2?
Enter your answer, as a decimal, in the box.
Answer:
-3.75 and oof i got it wrong i put 3.75
Step-by-step explanation:
How do you know if an equation has one solution, no solutions, or infinitely many solutions?
Answer:
Summary. If the equation ends with a false statement (ex: 0=3) then you know that there's no solution. If the equation ends with a true statement (ex: 2=2) then you know that there's infinitely many solutions or all real numbers.
Step-by-step explanation:
To determine whether an equation has one solution, no solutions, or infinitely many solutions, we need to examine the relationship between the variables and the consistency of the equation.
Here are the general guidelines:
1. One Solution: An equation has one solution if the variables can be assigned specific values that satisfy the equation, resulting in a unique solution. When solving the equation, you will find a specific value or set of values for the variables that make the equation true. The solution is often a numerical value or a specific point in a coordinate system.
2. No Solutions: An equation has no solutions if there is no value or combination of values for the variables that satisfy the equation. When solving the equation, you will arrive at a contradiction or an inconsistency. For example, if you encounter a statement like 2 = 5 during the solution process, it indicates that the equation has no solutions.
3. Infinitely Many Solutions: An equation has infinitely many solutions if any value assigned to the variables will satisfy the equation. This typically occurs when the equation is an identity or when there are variables on both sides of the equation that cancel out during the solution process, resulting in the equation always being true. In such cases, any value can be substituted for the variables, and the equation will remain true.
Determining the nature of the solutions often involves algebraic manipulation, simplification, and analysis of the equation to determine if it is consistent, inconsistent, or an identity.
Learn more about equation here
https://brainly.com/question/12385602
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A delivery person uses a service elevator to bring boxes of books up to an office. The delivery person weighs 160 lb and each box of books weighs 40 lb. The maximum capacity of the elevator is 790 lb. How many boxes of books can the delivery person bring up at one time?
The delivery person can bring up
nothing boxes of books.
Answer:
15
Step-by-step explanation
So, since the weight of the delivery person is 160 lbs... and the weight limit of the elevator is 790 lbs... Then you could subtract. If you subtract 790 lbs and 160 lbs you get 630 lbs.
So, this means that 630 lbs of boxes can go in the elevator
Since each box weighs 40 lbs, then you could divide the remaining pounds that could go on the elevator and the weight of each box. If you divide 630 lbs and 40 lbs, then you would get 15.75, but you can't carry a 75th of a box. So you in this circumstance, you would round down 15.75 to 15.
In conclusion, that's how I got my answer of 15
How can you tell when an equation in one variable has infinitely many solutions or no solution?
When you solve for the variable, you will end up with a true statement, like 2 = 2, for an equation with no solution. You also will end up with a true statement for an equation with infinitely many solutions.
When you solve for the variable, you will end up with a false statement, like 0 = 2, for an equation with no solution. You will also end up with a false statement for an equation with infinitely many solutions.
When you solve for the variable, you will end up with a false statement, like 0 = 2, for an equation with no solution. You will end up with a true statement, like 2 = 2 for an equation with infinitely many solutions.
When you solve for the variable, you will end up with a true statement, like 2 = 2, for an equation with no solution. You will end up with a false statement, like 0 = 2 for an equation with infinitely many solutions.
Answer: How can you tell when an equation in one variable has infinitely many solutions or no solution?
When you solve for the variable, you will end up with a true statement, like 2 = 2, for an equation with no solution. You also will end up with a true statement for an equation with infinitely many solutions.
When you solve for the variable, you will end up with a false statement, like 0 = 2, for an equation with no solution. You will also end up with a false statement for an equation with infinitely many solutions.
When you solve for the variable, you will end up with a false statement, like 0 = 2, for an equation with no solution. You will end up with a true statement, like 2 = 2 for an equation with infinitely many solutions.
When you solve for the variable, you will end up with a true statement, like 2 = 2, for an equation with no solution. You will end up with a false statement, like 0 = 2 for an equation with infinitely many solutions.
Step-by-step explanation:
There you go homies
Solve −3.5 = x/4 for x using the multiplication property of equality.
The operation in the problem is
-Addition
-Subtraction
-Multiplication
-Divison
The inverse operation is
-Addition
-Subtraction
-Multiplication
-Divison
= x
0.5
-7.5
-12
-14
Answer:
Step-by-step explanation:
The operation in the problem is division
The inverse is multiplication
(-14)
Answer: division inverse= multiplication answer=-14
Step-by-step explanation:
What is 8 x 1/10 = ? Helooo? Couls some one please answaer me i am in the 6th grade so please answer i dont know this lol.
Answer:
0.8 or 4/5
Step-by-step explanation:
[tex]\large\color{lime}\boxed{\colorbox{black}{Answer : - }}[/tex]
[tex]8 \times \frac{ 1 }{ 10 }[/tex]
[tex]Multiply \: 8 \: and \: \frac{1}{10} \: to \: get \: \frac{8}{10}.[/tex]
[tex]\frac{8}{10} [/tex]
[tex]Reduce \: the \: fraction \: \frac{8}{10} \: to \: lowest \\ \: terms \: by \: extracting \: and \: \\ canceling \: out \: 2.[/tex]
[tex]\frac{4}{5} [/tex]
[tex] \color{blue}\frac{2 ^ {2}}{5} = 0.8[/tex]
Which shows how to best estimate the product of 0.4 x 0.93?
0 x 1 = 0
0.5 x 0.5 = 0.25
0.5 x 1 = 0.5
1 x 1 = 1
Answer:
b
Step-by-step explanation:
Answer:
C. 0.5 times 1 = 0.5