Answer:
Step-by-step explanation:
Given
there are 50 winning number out of which 40 get $ 100 each and 10 wins $ 1000 .
let x denotes the winning from a randomly selected ticket
Expected value is given by
and Expected return is given by
Answer:
146 square meters
Step-by-step explanation:
We can split the figure into a 6 by 15 rectangle and a parallelogram (8 base, 7 height).
- The area of the rectangle is 6•15=90
- The area of the parallelogram is 8•7=56
- 90+56=146
Answer:
x = 49/23
Step-by-step explanation:
23x = 49
=> x = 49/23
I wonder why this option is not one of the options given. Please consider to re-check the options you have given to me.
Thank you!
Hoped this helped.
The question is not well-expressed, but it looks like you want to evaluate
5 + (-3) - 65 + (-3) - 65 + (-3) - 6
Answer:
-140
Step-by-step explanation:
First of all, note the following
- Multiplying a negative number by another negative number gives a positive number.
- Multiplying a negative number by a positive number gives a negative number.
- Multiplying a positive number by a positive number gives a positive number.
- Brackets mean multiplication.
So
5 + (-3) - 65 + (-3) - 65 + (-3) - 6
= 5 - 3 - 65 - 3 - 65 - 3 - 6
= -140
Answer:
the third option
Step-by-step explanation:
what does that mean ?
to "rationalize" it is to transform it into a rational number (that is a number that can be described as a/b, and is not an endless sequence of digits after the decimal point without a repeating pattern).
a square root of a not square number is irrational (not rational).
so, what this question is asking us to get rid of the square root part in the denominator (the bottom part).
for this we need to multiply to and bottom with the same expression (to keep the whole value of the quotient the same) that, when multiplied at the bottom, eliminates the square root.
what can I multiply a square root with to eliminate the square root ? the square root again - we are squaring the square root.
so, what works for 9 - sqrt(14) as factor ?
we cannot just square this as
(9- sqrt(14))² = 81 -2sqrt(14) + 14
we still have the square root included.
but remember the little trick :
(a+b)(a-b) = a² - b²
without any mixed elements.
so, we need to multiply (9-sqrt(14)) by (9+sqrt(14)) to get
81-14 = 67 which is a rational number.
therefore, the third answer option is correct.