Answers
Step-by-step explanation:
I guess, the problem is to understand :
what means "average" ?
well, the average of a defined set of data points is the sum of the data divided by the number of data points (or samples).
that way you get a mean value for each time the system is "measured" (a data point is created).
each new measurement / data point changes the mean value (or average).
this is used all the time - in sports statistics (e.g. the average score of a team), in daily life (like the average height of a human being that defines sizes of clothes, beds, chairs, tables, even the typical height of ceilings and so on).
the average of these 8 data points is therefore :
(36+37+34+23+47+27+31+21)/8 = 256/8 = 32
so, if he wants to raise his average score to 35 with the results of the next 2 games, this has 2 things to be considered :
1. the number of days points will be then 8+2=10 (and not just 8).
2. we need to add 2 data points, so that the sum of all 10 data points divided by 10 is then 35.
(36+37+34+23+47+27+31+21+x+y)/10 = 35
(36+37+34+23+47+27+31+21+x+y) = 350
x + y = 350 - 256 = 94
that means, he has to score a total of 94 points in the next 2 games.
it does not matter, how many in any single game, as long as the sum of both games is 94.
since the question is phrased "how many in each of the next 2 games", we simply take the target average of these 2 games.
remember, sum/amount = 94/2 = 47.
so, he would have to score 47 points in each of the next 2 games to raise his general average score to 35.
Related Questions
video store charges $12 for used games and $25 for new games. Jonathan has saved $300 to spend on video games. This scenario is represented by a linear equation.
12x + 25y = 300
x = number of used games
y = number of new games
How many games can Jonathan buy if he spends all his money on used games?
Answers
Answer:
He can spend games at a rate of y = -0.48x + 12
Step-by-step explanation:
12x + 25y = 300
Move the 12x on the other side.
25y = -12x + 300
Divide the 25y with everything.
y = -0.48x + 12
Factor: 10m^3 + 12m^2-35m -42
we are doing factoring trinomials and factor by grouping
Answers
Answer:
( 5m + 6 ) ( 2m² - 7 )
Step-by-step explanation:
please refer the image
use solve for θ and round to the nearest tenth
1) sinθ=0.99
2) tanθ=0.27
3) cosθ=0.39
4) tanθ=0.87
5) sinθ=0.08
Answers
Answer:
2 tan0 have fun hope it helps you
Step-by-step explanation:
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Daniel and Saquon are each saving money.
Daniel starts with $50 in his savings account and adds $8 per week.
Saquon starts with $65 in his savings account and adds $5 each week.
QUESTION: After how many weeks will Daniel and Saquon have the same amount of money in their savings account?
Answers
Daniel starts with $50 and each week he adds $8. To find out the amount he has in any given week, the following formula would work:
= 50 + 8x
The x is the number of weeks and is multiplied by 8 because the amount of money he has increase by 8 every week.
After 4 weeks he would have:
= 50 + (8 * 4)
= 50 + 32
= $82
Saquon
Applying the same formula:
= 65 + 5x
After 4 weeks:
= 65 + (5 * 4)
= 65 + 20
= $85
Saquon has more money after 4 weeks.
Number of weeks it would take for both of them to have the same amount.
To find this out, equate both formulas and solve for x.
50 + 8x = 65 + 5x
8x - 5x = 65 - 50
3x = 15
x = 15/3
x = 5 weeks
At 5 weeks they will both have:
50 + 8 * 5 = $90
65 + 5 * 5 = $90
What is the equation of the line?
Answers
Answer: 5x + 4y - 6 = 0
Step-by-step explanation:
Find the slope of the line by finding 2 points that are on the line
(-2,4) and (2,-1)
(4--1)/(-2-2) = 5/-4
y = -5x/4 + c
Substitute (2,-1)
-1 = -10/4 + c
6/4 = c
So the equation is y = (6-5x)/4
4y = 6-5x
5x + 4y - 6 = 0
(Side note: So many people are asking about line equations)
What is the first step in solving 31 + 2 - 8(3)
Answers
Answer:
[tex]31 + 2 - 8(3) \\ \\ = 31 + 2 - 24 \\ \\ 33 - 24 \\ \\ = 9[/tex]
# be careful#
Answer:
Multiply 8x3
Step-by-step explanation:
Orders of operations state that parenthesis should be the first step in solving an equation
P-parenthesis
E-exponents
M- multiplication
D-division
A- addition
S- subtraction
When a figure rotates around a point, this point is called the
Answer:
A image
B. origin
C. graph
D. center of rotation
Answers
Answer:
Your answer is D. center of rotation!
Step-by-step explanation:
A rotation is a transformation in a plane that turns every point of a figure through a specified angle and direction about a fixed point. The fixed point is called the center of rotation . The amount of rotation is called the angle of rotation and it is measured in degrees.
Find the slop of the line in the graph
Answers
Answer:
2y and -3x
Step-by-step explanation:
y3-1
/
-x2-x1
Calculate the following problem
what is 24 plus 12 minus 53 plus 100 and the divide it by 2
Answers
Answer:
33
Step-by-step explanation:
Answer:
(4.5)
Step-by-step explanation:
i hope its help
brainliest me
#CARRYONLEARNING
Which expression Is equivalent to x^2+10x+24
Answers
Answer:
(x+4)(x+6)
Step-by-step explanation:
First we factorise:
x²+4x+6x+24
x(x+4)+6(x+4)
(x+4)(x+6)
So the last one is equivalent
Answer:
(x+4)(x+6)
Step-by-step explanation:
Brainliest to whoever can answer this question the best + 50 pts.
Solve the system of linear equations BY ELIMINATION. Show a step-by-step process.
3x - 2y = -2
5x - 3y = -4
Answers
[tex]\\ \tt\hookrightarrow 15x-10y=-10--(3)[/tex]
[tex]\\ \tt\hookrightarrow 15x-9y=-12--(4)[/tex]
Subtracting
[tex]\\ \tt\hookrightarrow -y=+2[/tex]
[tex]\\ \tt\hookrightarrow y=-2[/tex]
Put in eq(1)
[tex]\\ \tt\hookrightarrow 3x+4=-2[/tex]
[tex]\\ \tt\hookrightarrow x=-2[/tex]
Answer:
x = -2 and y = -2
Explanation:
Given equations:
3x - 2y = -2
5x - 3y = -4
---------------------
Make the value before y equal:
( 3x - 2y = -2 ) * 3
9x - 6y = -6 .........equation 1
( 5x - 3y = -4 ) * 2
10x - 6y = -8 ...........equation 2
solve them by elimination:
10x - 6y = -8
-9x + 6y = +6
----------------------
x = -2
If x is -2
Then y:
10x - 6y = -8 .................from equation 2
-6y = -8-10x
y = [-8 - 10(-2)]/-6
y = -2
A phone line runs east along a field of 1 miles and then north along the edge of the same field for 3 miles. If the phone line cost 3500 per mile to install, how much could have been saved if the phone line had been installed diagonally across the field?
Answers
Answer:
nsnenenenwnneennenewnw
let L to be the length of diagonal line, so L^2 = 1.8^2 + 2.75^2 =>3.29
so the saving is (1.8+2.75-3.29)*3500=4410
Write the equation of the given line in slope-intercept form:
Answers
Answer:
y=-3x - 1
Step-by-step explanation:
please help, quick, this is my last question
Answers
Answer:
5/2 I think bec a was moved to 1/1 before it was 6/3
Solution to the inequality 3x<0
Answers
Answer:
the inequality form is x<0
Step-by-step explanation:
you would divide both sides by 3 And then simplify
Find m CF
44
D
5
-52
Answers
Answer:
Step-by-step explanation:
Answer:
148°
Step-by-step explanation:
The external angle at E is half the difference of the measures of arcs FD and FC.
(CF -44°)/2 = 52°
CF -44° = 104° . . . . multiply by 2
CF = 148° . . . . . . . . add 44°
The measure of arc CF is 148°.
will deposited $1550 in an account that pays 8% annually. How much would be in the account at the end of 24 months?
Answers
Answer:
$1798
Step-by-step explanation:
You take the money of 1550 and multiply the 16% for the 2 years, which is just 1.16 and you get 1798
Help please thank you.
Answers
Step-by-step explanation:
13b. Ariel is a customer.
14a. Obeying traffic rules saves lives.
15c. Mr. Aries is a lawmaker.
How many composite numbers are between 1 and 100?
Answers
Answer:
74 is the answer to your question.
Hope this helps!
Step-by-step explanation:
74 is the answer to your question
the third part lol helppppppppppppppppppppppppppppppppppppppppp
Answers
answer:
n = [tex]-\frac{3}{2}[/tex]Explanation:
→ [tex]4(n+10) = 34[/tex]
→ [tex]\frac{4(n+10)}{4} = \frac{34}{4}[/tex]
→ n + 10 = [tex]\frac{17}{2}[/tex]
→ n = [tex]\frac{17}{2} -10[/tex]
→ n = [tex]\frac{17-20}{2}[/tex]
→ n = [tex]\frac{-3}{2}[/tex]
Answer:
[tex]\sf n=\dfrac{-3}{2}[/tex]
Step-by-step explanation:
Given equation: 4(n + 10) = 34
Step 1: Expand the expression.
[tex]\sf \implies \boldsymbol{\sf 4(n + 10)} = 34[/tex]
[tex]\sf \implies \boldsymbol{\sf 4(n) + 4(10)} = 34[/tex]
[tex]\sf \implies 4n + 40 = 34[/tex]
Step 2: Subtract [tex]\sf 40[/tex] from both sides and combine like terms.
[tex]\sf \implies 4n + 40 - 40 = 34 - 40[/tex]
[tex]\sf \implies 4n = -6[/tex]
Step 3: Isolate the variable ([tex]\sf n[/tex]) (simply if necessary).
[tex]\sf \implies \dfrac{4n}{4} = \dfrac{-6}{4}[/tex]
[tex]\sf \implies n=\dfrac{-6}{4} = \dfrac{-3}{2}[/tex]
Marshall scored 80 on his first quiz and 70 on his second quiz. What was the percent of decrease in his scores?
Answers
Answer:
12.5% Decrease
Step-by-step explanation:
(10/80)*100
NEED HELP ASAP DUE SOON!!!!
Answers
Answer:
Step-by-step explanation:
We can easily get 'a' in the equation by setting x to zero which will get rid of the b variable leaving us with:
a = 2
Now for b, we know the second point is (1,6), so let's plug it into the function
6 = 2 * b^1
b = 3
Thus the function is [tex]y = 2*3^{x}[/tex]
Hope that helps!
On a recent statistics exam at a large university, 35 of 50 students in one section passed the exam.
What is the mean and standard deviation of the proportion of those who passed the exam?
A. Mean = 70%; standard deviation = 3.5%
B. Mean = 70%; standard deviation = 6.48%
C. Mean = 70%; standard deviation = 4.2%
Answers
Answer:
answer is c
Step-by-step explanation:
i know
approximate the square root of 110
Answers
Answer:
10.4880885 or 10.5
Step-by-step explanation:
The square root of 110 is a decimal ... 10.4880885
If we round up it will be 10.5
Answer:
10.488 to nearest thousandths
Step-by-step explanation:
If you mean using a calculator, sqrt(110) is approximately 10.488.
If you mean by hand (unlikely), there are methods such as Newton-Raphson method that converge quite quickly (after around 10 iterations it's basically no different than your calculator)
what is the long leg of a 30 60 90 triangle when the hypothesis is 8 root 6
Answers
The sine rule states that in any triangle, the length of any side divided by the sine of the opposite angle is a constant.
So for your triangle we have:
8/sin 60° = s/sin 30° = h/sin 90°
8/[(sqrt 3)/2] = s/(1/2) = h/1
16/sqrt 3 = 2s = h
So the length of the short leg s
= 8/sqrt 3 = approx. 4.619
and the length of the hypotenuse
= 16/sqrt 3 = approx. 9.238.
Members of a lacrosse team raised $1793.50 to go to a tournament. They rented a bus for $757.50 and budgeted $64.75 per player for meals. Write and solve an equation which can be used to determine
x
x, the number of players the team can bring to the tournament.
Answers
Answer:
They can bring 16 students to the tournament
Step-by-step explanation:
$1793.50 - $757.50 = 1063
$1063 / $64.75 = 16
Answer:
16 students
Step-by-step explanation:
Hello :)
This question gave us a flat charge of 757.50 dollars for the bus, which means it does not depend how many members of the lacrosse team ride the bus.
However, the meals cost 64.75 per member.
So to make an equation, the bus charge would be the y-intercept (If no member went, they still paid for the bus fee) and the meals would be the slope (since it is dependent on how many members ride the bus.)
The total would add up to be 1783.50, so the equation would be:
1793.50=64.75x+757.50 where x=the number of players the team can bring to the tournament without going outside of their budget
Let's solve now.
1793.50=64.75x+757.50
-757.50 -757.50
1036=64.75x
x=16
Trina runs 4 laps around a park. each lap is 1/3 of a mile. trina wants to know how many total miles she runs
Answers
Answer:
1 1/3 miles
Step-by-step explanation:
4 laps times 1/3 mile per lap equals 1 1/3 miles
Answer:
1 1/3 mile(s)
Step-by-step explanation:
Multiply laps by miles: 4 times 1/3
= 4/3 or 1 1/3
Pls pls pls pls pls pls help me I’ll help you
Answers
Answer:
minimum of -3
Step-by-step explanation:
Because that is the lowest point on the graph
HELP FAST PLS YOU GUYS
Answers
Answer:
Function increase (-4,inf)
Step-by-step explanation:
cause it increases as the it rises from left to right
I’m so sorry i Don’t know the answer I would help if I could
Rosenfeld enjoys a delicious meal at BJs, and the bill comes back at $24.50. The service was amazing, so she wants to leave a 25% tip. How much do you pay total (bill and tip together)?
Answers
Answer:
30.62
Step-by-step explanation:
24.50 x .25 = 6.12
24.50 + 6.12 = 30.62