Answer:
Step-by-step explanation:
<u>Given</u>
- Line segment AB = 12 units
Translation of AB → A'B' by the rule T(x +0, y+5)
This translation won't change the length of A'B' as the difference in (x2-x1) and (y2-y1) stays same because x-coordinate stays as is and y-coordinate's change cancelled when subtracting
So A'B' = 12 units
I think it's cost price
I heard it before somewhere
Hope I've been any help to you
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.
Its A because 25 is taken out of m=bday money m-$25
If (x - 2) is a factor of 2x³ + x² - 3 then for the value of x = 2 the polynominal is equal zero.
Substitute:
2 · 2³ + 2² - 3 = 2 · 8 + 4 - 3 = 16 + 4 - 3 = 17 ≠ 0
Answer: B) (x - 2) is not a factor.