Answer:
⅘×⅛ = 1/10
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Answer: c(x) = y = $0.132*x + $27.16
Step-by-step explanation:
The chargers are a fixed price plus a charge for every copy, then we have a linear relationship.
A linear relationship can be written as:
c(x) = y = a*x + b
where a is the slope and b is the y-axis intercept.
For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:
a = (y2 - y1)/(x2 - x1).
In this case, c(x) = y represents the cost in dollars, x is the number of copies bought, and b is the fixed cost.
We know two points in this line:
(80, $37) and (209, $54)
Whit those two points we can find the slope:
a = ($54 - $37)/(209 - 80) = $17/129 = $0.132 per copy.
Then our equation is:
c(x) = y = $0.132*x + b
To find the value of b, we know that 80 copies cost $37, we can replace those values in the equation:
$37 = $0.132*80 + b
$37 = $9.84 + b
($37 - $9.84) = $27.16 = b.
Then the equation is:
c(x) = y = $0.132*x + $27.16
Answer:
C
Step-by-step explanation:
- In the long run, as the sample size increases and increases, the relative frequencies of outcomes get closer and closer to theoretical (or actual) probability value.
- The relative frequency of an event is defined as the number of times that the event occurs during experimental trials, divided by the total number of trials conducted.
- The relative frequency is not a theoretical quantity, but an experimental one. We have to repeat an experiment a number of times and count how many times the outcome of the trial is in the event set. Because it is experimental, it is possible to get a different relative frequency every time that we repeat an experiment.
- The relative frequency depends on the sequence of outcomes that we observe while doing a statistical experiment. The relative frequency can be different every time we redo the experiment. The more trials we run during an experiment, the closer the observed relative frequency of an event will get to the theoretical probability of the event.
Answer:
Find the cube's volume first (because it's the simplest figure) by using the formula;
(Formula for vol. of cube)
V =
Where 's' stands for <u>one side</u> of the <u>cube</u> raised to the <u>power of three</u>.
or
V = w · l · h
Where 'w' stands for the width, 'l' stands for the length, and 'h' stands for the height.
Plug in the values you know since they literally give it to you (I'll be using the formula );
V =
V = 3^3 → (The symbol ' ^ ' means to the power of.)
V = <u>27</u>, is the volume of the cube.
Now we find the volume of the pyramid using the formula;
(Formula for vol. of pyramid)
V = (l · w · h) · 1/3
Where 'l' means the length, 'w' the width, and 'h' the height whereas the 1/3 is just dividing the product of those three by 3.
Plug in the values you know using both the lengths from the cube and pyramid.
- What we know of the dimensions for the cube:
<u>Length = 3</u>
<u>Width = 3</u>
Height = 3(we won't use)
- What we know of the dimensions for the pyramid:
<u>Height = 4</u>
Use these to figure out the volume for the pyramid.
V = (l · w · h) · 1/3
V = (3 · 3 · 4) · 1/3
V = 36 · 1/3
V = 36/3
V = <u>12</u>, is the volume of the pyramid.
Add your volumes:-
27(cube vol.) + 12(pyramid vol.)
= <u>39</u> is the volume for this whole solid, your answer is D.