Answer:
0.80
Step-by-step explanation:
For independent events:
P(A and B) = P(A) P(B)
0.52 = 0.65 P(B)
P(B) = 0.80
(I'll do my best to explain this:) ) if you put two triangles together they equal a rectangle. In other words if you split a rectangle from upper left corner to lower right corner you get two triangles. So if you multiply the triangle formula twice you get the rectangle formula.
Gain percentage made by Mr William by selling the table at Rs. 1050 is 12.30%.
<h3><u>Solution:</u></h3>
Given that
Mr. William bought an old table for RS 850
Mr. William spent 1/10 of the cost price on its repairs.
Mr. William sold the table for Rs 1050.
Need to determine gain or loss percent.
Let’s first calculate total money spent by Mr William on Table
Total money spent by Mr William on Table = Amount at which Mr. William bought an old table + amount spent on repairs
![=\text { Cost price }+\frac{1}{10} \text { of the cost price }=850+\frac{1}{10} \text { of } 850=850+85=935](https://tex.z-dn.net/?f=%3D%5Ctext%20%7B%20Cost%20price%20%7D%2B%5Cfrac%7B1%7D%7B10%7D%20%5Ctext%20%7B%20of%20the%20cost%20price%20%7D%3D850%2B%5Cfrac%7B1%7D%7B10%7D%20%5Ctext%20%7B%20of%20%7D%20850%3D850%2B85%3D935)
So Total money spent by Mr William on Table = 935
Money generated by selling the table = Rs 1050
As Money generated by selling the table is more that Total money spent by on Table so there is a gain.
Gain by selling the table = Money generated by selling the table - Total money spent by Mr William on Table
= 1050 – 935 = 115
![\text { Gain percentage }=\frac{\text { gain amount }}{\text { Money spent on table }} \times 100](https://tex.z-dn.net/?f=%5Ctext%20%7B%20Gain%20percentage%20%7D%3D%5Cfrac%7B%5Ctext%20%7B%20gain%20amount%20%7D%7D%7B%5Ctext%20%7B%20Money%20spent%20on%20table%20%7D%7D%20%5Ctimes%20100)
![=\frac{115}{935} \times 100=12.299 \approx 12.30 \%](https://tex.z-dn.net/?f=%3D%5Cfrac%7B115%7D%7B935%7D%20%5Ctimes%20100%3D12.299%20%5Capprox%2012.30%20%5C%25)
Hence gain percentage made by Mr William by selling the table at 1050 is 12.30%.
It is possible to draw such a quadrilateral . All sides will be of different length and no pair of lines are parallel
Answer:
PQ = 58
Perimeter = 250
Opposite sides are congruent
Step-by-step explanation:
PQ = 58:
Because PQRS is a parallelogram, PQ equals RS.
1. Set up the equation and solve
7x + 16 = 5x + 28
2x = 12
x = 6
2. Plug in x into PQ
7(6) + 16 = 58
Perimeter = 250:
PQ = RS and QR = SP
1. Add the sides
58 + 58 + 67 + 67 = 250
Opposite sides are congruent:
definition of a parallelogram