Answer: The option B. 1.9 is correct
Explanation:
We are given the below information:
x Probability P(x)
0 0.2
1 0.1
2 0.4
3 0.2
4 0.1
The expected value of x is given below:
Therefore, the expected value of x is 1.9
The given point is (-4, -6)
First reflected point is (-4, 6).
Note that the x coordinate is same and y coordinate has opposite sign. Above x-axis, y is positive and below x-axis y is negative. This shows that the reflection was across x-axis which resulted in the change of sign of y coordinate.
Second reflected point is (-6, -4)
Notice that in comparison to the original point, the location of x and y coordinate has been interchanged. This can only happen when the reflection is across the line y = x. The reflection of a graph across y = x also results in the inverse of that graph, with x values and y values interchanging their positions.
So,
1st Answer: Reflection across x-axis
2nd Answer: Reflection across the line y = x
Answer: The percentage of the tub after 6 minutes is 30 %
Step-by-step explanation: The calculation can be done as follows
1 minutes= 4 gallons
6 minutes= 4×6
= 24 minutes
If the bathtub can hold 80 gallons of water then the percentage of the tub after 6 minutes can be calculated as follows
= 24/80
= 0.3 × 100
= 30 %
Hence the percentage of the tub will be filled after 6 minutes is 30 %
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Answer:
SUM OF ALL ANGLES OF A TRIANGLE =180
THEREFORE,
X+8+2X-3+6X-5=180
9X=180
X=20.
THEREFORE,<J=X+8=20+8=28
<K=6X-5=6*20-5=120-5=115
<L=2X-3=2*20-3=40-3=37.
