We are given with
random samples = 300 batteries
defective samples = 9 batteries
level of significance = 0.1
Using the P-table values and using the given values, we see that the number of defective batteries are really less than 5%
<u>Let's consider the facts at hand</u>:
- By Vertical Angle Theorem ⇒ ∠BCE = ∠DCF
- ∠BEC = ∠DFC
- Sides BE = DF
<u>Based on the diagram, triangles BCE and triangles DCF are similar</u>
⇒ based on the Angle-Angle theorem
⇒ since ∠BCE = ∠DCF and ∠BEC = ∠DFC
⇒ the two triangles are similar
Hope that helps!
<em>Definitions of Theorem I used:</em>
- <u><em>Vertical Angle Theorem: </em></u><em>opposite angles of two intersecting lines must be equal</em>
- <u><em>Angle-Angle Theorem:</em></u><em> if two angles of both triangles are equal, then the given triangles must be similar</em>
<em />
Evaluate x y + 4 y where y = 5 and x = 2:
x y + 4 y = 2×5 + 4×5
2×5 = 10:
10 + 4×5
4×5 = 20:
20 + 10
| 2 | 0
+ | 1 | 0
| 3 | 0:
Answer: 30
Answer:
y = 2x - 18
Step-by-step explanation:
There are lots of different methods to do these types of questions, but this is the way i like to do it.
Coordinate (x1, y1) : (4, -10) and Gradient (m): 2
Start with this generic equation:
y- y1 = m(x-x1)
Substitute in the values they have given you:
y - (-10) = 2(x-4)
This becomes:
y + 10 = 2x - 8
Keep solving by moving the 10 over to the other side:
y = 2x -8-10
y = 2x - 18
<u>An easy way to double check:</u>
1) the coefficient of x is the slope. We got 2x, and the slope is 2, so that's correct.
2) Substitute x=4 into the equation, and we get -10, which is the exact coordinate that they gave us. This is also right.
Hope this helped : )
