Answer: The mathematical expectation of Option A is 2.25. The mathematical expectation of Option B is 2.75. Option B offers a greater likelihood of advancing to the finish line.
Step-by-step explanation: I took the test.
The rational bumber between -2 and 0 is -1
Answer: 1770 rupees
Step-by-step explanation:
To solve this, we first calculate the simple interest which will be:
= (P × R × T) / 100
= (1500 × 9% × 2) / 100
= (1500 × 0.09 × 2) / 100
= 270
The total amount tha she'll get will be:
= 1500 + 270
= 1770 rupees
You could do:
1 mile : 1,760 yards.
So, you would multiply 1790 times 2 and get 3520. The closest thing to 4500 yards is 3520.
So you get 2 miles and 980 yards.
Answer:
x = 16
Step-by-step explanation:
The equation shown can be solved this way.
x^2 +(x -4)^2 = 20^2
x^2 +x^2 -8x +16 = 400
2x^2 -8x -384 = 0
x^2 -4x -192 = 0
(x -16)(x +12) = 0
The positive solution is ...
x = 16
_____
Since this makes use of the Pythagorean theorem, you've probably run across the 3-4-5 triangle. You often find scaled versions of it in algebra and geometry problems. Here, it is scaled by a factor of 4 to give a 12-16-20 triangle as half of the display screen.
The 3-4-5 triple is the only Pythagorean triple that is an arithmetic sequence. So, if the difference in side lengths is 4 and the diagonal is 5×4, you can be pretty certain that x = 4×4 and x-4 = 4×3.
