Answer:
-24x^7
Step-by-step explanation:
Note that (-2)^3 = -8, and so:
(-2 x^2 )^ 3 ·3 x = -8*x^6 * 3*x, or -24x^7
Percent error = (incorrect amount - correct amount)/(correct amount) * 100
percent error = (140 - 112)/(112) * 100 =
= 28/112 * 100 = 0.25 * 100 = 25%
Answer:
Min. 1st Qu. Median Mean 3rd Qu. Max.
3.10 11.55 12.15 15.35 18.45 30.00
Step-by-step explanation:
The five-number summary includes five things that are:
1. Minimum Value
2. First Quartile (Q₁)
3. Median
4. Third Quartile (Q₃)
5. Maximum Value
So,
1. Minimum Value = 3.10
It can be found by arranging the data in ascending order, the first value we will get is the minimum value.
2. First Quartile is the middle value between Minimum value and Median of data after arranging data in ascending order.
First Quartile (Q₁) = 11.55
3. Median is the middle value of the data after arranging them in ascending order.
Median = 12.15
4. The third Quartile is the middle value between Median and Maximum Value of data after arranging data in ascending order.
Third Quartile (Q₃) = 18.45
5. Maximum Value is the largest value of the data or is the last value after arranging the data in ascending order.
Maximum Value = 30.
Percentiles are mostly use in very large data. Here n percent of data shows the nth percentile.
C. â–łADE and â–łEBA
Let's look at the available options and see what will fit SAS.
A. â–łABX and â–łEDX
* It's true that the above 2 triangles are congruent. But let's see if we can somehow make SAS fit. We know that AB and DE are congruent, but demonstrating that either angles ABX and EDX being congruent, or angles BAX and DEX being congruent is rather difficult with the information given. So let's hold off on this option and see if something easier to demonstrate occurs later.
B. â–łACD and â–łADE
* These 2 triangles are not congruent, so let's not even bother.
C. â–łADE and â–łEBA
* These 2 triangles are congruent and we already know that AB and DE are congruent. Also AE is congruent to EA, so let's look at the angles between the 2 pairs of congruent sides which would be DEA and BAE. Those two angles are also congruent since we know that the triangle ACE is an Isosceles triangle since sides CA and CE are congruent. So for triangles â–łADE and â–łEBA, we have AE self congruent to AE, Angles DAE and BEA congruent to each other, and finally, sides AB and DE congruent to each other. And that's exactly what we need to claim that triangles ADE and EBA to be congruent via the SAS postulate.
Answer:
262144
Step-by-step explanation: