Answer:
The correct option is B.
Step-by-step explanation:
A plane extends infinitely in two dimensions. It has no thickness.The plane has two dimensions: <u>length and width</u><u>.</u> But since the plane extends infinitely,the length and width cannot be measured.
Lets take an example of a flat sheet of metal. Imagine a flat sheet of metal. Now make it infinitely large in both directions. This means that no matter how far you go, you never reach its edges. Now imagine that it is so thin that it actually has no thickness at all. In spite of this, it remains completely rigid and flat. This is the 'plane' in geometry.
Answer:
Step-by-step explanation:
She bought 18 ride tickets at $0.75 per ticket, so she spent 18 * $0.75 = $13.50 on rides. She spent a total of $33.50 for only admission and rides.
$33.50 - $13.50 = $20
Admission is $20.
(a) Let y represent total cost. Let x represent the number of ride tickets.
(b) y = 0.75x + 20
(c) The total cost is the cost of x ride tickets plus the admission.
x ride tickets cost 0.75x.
Admission is a fixed 20.
Adding the cost of ride tickets, 0.75x, to the admission cost, 20, gives you the total cost, y.
(D) traveled at the slowest rate.
Answer:
Mean : 95
Median : 85
Mode : 90
Part B : Impossible
Step-by-step explanation:
We can make an equation to find the mean using the first 5 history test scores.
![85=\frac{80+75+90+75+95+n}{6} \\ \\ 85=\frac{415+n}{6} \\ \\ 510=415+n \\ \\ n=95](https://tex.z-dn.net/?f=85%3D%5Cfrac%7B80%2B75%2B90%2B75%2B95%2Bn%7D%7B6%7D%20%5C%5C%20%5C%5C%2085%3D%5Cfrac%7B415%2Bn%7D%7B6%7D%20%5C%5C%20%5C%5C%20510%3D415%2Bn%20%5C%5C%20%5C%5C%20n%3D95)
So a 95 would be needed to have a mean of 85.
Next, the median.
First, we sort the first 5 history scores from least to greatest.
We get 75, 75, 80, 90, 95.
Since, 80 is the middle value, it will be used in the calculation of the median.
We can make an equation with this.
![82.5=\frac{80+n}{2} \\ \\ 165=80+n \\ \\ n=85](https://tex.z-dn.net/?f=82.5%3D%5Cfrac%7B80%2Bn%7D%7B2%7D%20%5C%5C%20%5C%5C%20165%3D80%2Bn%20%5C%5C%20%5C%5C%20n%3D85)
So a score a 85 would be needed to have a median of 82.5
Thirdly, the mode.
Since 90 is already in the set once, we can just have Maliah score another 90 to make 90 the mode (with the exception of 75 of course).
Finally, Part B.
We can use the equation we had for the first mean calculation but change 85 to 90.
![90=\frac{80+75+90+75+95+n}{6} \\ \\ 90=\frac{415+n}{6} \\ \\ 540=415+n \\ \\ n=125](https://tex.z-dn.net/?f=90%3D%5Cfrac%7B80%2B75%2B90%2B75%2B95%2Bn%7D%7B6%7D%20%5C%5C%20%5C%5C%2090%3D%5Cfrac%7B415%2Bn%7D%7B6%7D%20%5C%5C%20%5C%5C%20540%3D415%2Bn%20%5C%5C%20%5C%5C%20n%3D125)
So Maliah would need a score of 125 to make her mean score 90, but since the range is only from 0-100, it is impossible.
Answer:
(2, 1) (1, 5) and (4, 3)
Step-by-step explanation:
Basically switch the x and y axes, and depending on the quadrant, switch the negative and positive signs to their appropriate ones.
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