Answer:
Step-by-step explanation:
The z-score tells us how many standard deviations a value is away from the mean.
The formula is:
where x is the value, 
is the mean, and s is the standard deviation.
We want to find the z-score for the score of an 83, the mean is 72, and the standard deviation is 5.
Substitute the values into the formula.
Solve the numerator.
Divide.
The z-score is 2.2, which means the score of 83 is 2.2 standard deviations above the mean.
Answer:
Dominant strategy is an in game theory that refers to the optimal option for a player among all the competitive strategies, <em>no matter how that player's opponents may play</em><em>.</em><em> </em>
Answer:
Step-by-step explanation:
Since the inscribed angle theorem tells us that any inscribed angle will be exactly half the measure of the central angle that subtends its arc, it follows that all inscribed angles sharing that arc will be half the measure of the same central angle. Therefore, the inscribed angles must all be congruent.
Answer: 5 bags of sand
Step-by-step explanation:
Given
There are 8 elementary schools
3 Tons of sand is needed
It is contained in a 50- Pound bag
1 ton is equivalent to 2000 Pound
No of 50- Pound bag required is
These 40 bags will be required in 8 schools. So, each school requires
Again here we're using like terms
a) -2x² + 12x² = 10x² (they have the same term that's why I grouped them together)
-4x + 2x = -2x
13 - 25 = -12
So the final answer is 10x² - 2x -12
b) 7x² - (-7x²) = 7x² + 7x² or 14x²
4x - (-3x) = 4x + 3x or 7x
-26 - 15 = -41
The final answer to this one is 14x² + 7x - 41
