Answer:
unreadable score = 35
Step-by-step explanation:
We are trying to find the score of one exam that is no longer readable, let's give that score the name "x". we can also give the addition of the rest of 9 readable s scores the letter "R".
There are two things we know, and for which we are going to create equations containing the unknowns "x", and "R":
1) The mean score of ALL exams (including the unreadable one) is 80
so the equation to represent this statement is:
mean of ALL exams = 80
By writing the mean of ALL scores (as the total of all scores added including "x") we can re-write the equation as:
since the mean is the addition of all values divided the total number of exams.
in a similar way we can write what the mean of just the readable exams is:
(notice that this time we don't include the grade x in the addition, and we divide by 9 instead of 10 because only 9 exams are being considered for this mean.
Based on the equation above, we can find what "R" is by multiplying both sides by 9:
Therefore we can now use this value of R in the very first equation we created, and solve for "x":
Answer:I believe the slope is less
Step-by-step explanation:
7 and 8 because 52 is between 49 and 64
Answer:
you were awake for 4.5 hours and the battery was at 90% when you woke up.
Step-by-step explanation:
just look at the x and y intercepts. the x intercept is how long you were awake and the y-inter is what the charge was when you woke up.
Answer:
y-intercept of f(x) = 1
y-intercept of g(x) = 1
The slope of f(x) = 1.5
The slope of g(x) = 2
Step-by-step explanation:
x : 0 2 4
f(x) : 1 4 7
The table x , f(x) represents a linear function
The linear function has the form y = mx + c
where m is the slope and c is y-intercept
m = (y₂-y₁)/(x₂-x₁) = (7-4)/(4-2) = 3/2 = 1.5
y-intercept is the value of y at which x = 0
From the table at x = 0 ⇒y= f(x) = 1 ⇒ c = 1
∴ f(x) = 1.5x + 1
And given g(x) = 2x + 1
We will Compare the y-intercepts and slopes of the linear functions f(x) and g(x)
y-intercept of f(x) = 1
y-intercept of g(x) = 1
The slope of f(x) = 1.5
The slope of g(x) = 2
So, y-intercept of f(x) = y-intercept of g(x) = 1
And The slope of g(x) is greater than The slope of f(x)