Hello:
49x^16 −16y^64 = 7²(x^8)² - 4²(y^32)² =(7x^8)² - (4y^32)²
=(7x^8 - 4y^32)(7x^8 + 4y^32)
(by identite : a²-b² = (a-b)(a+b))
Using the Empirical Rule, it is found that the proportion of people in a population with IQ scores between 80 and 140 is of 0.95 = 95%.
<h3>What does the Empirical Rule state?</h3>
It states that, for a normally distributed random variable:
- Approximately 68% of the measures are within 1 standard deviation of the mean.
- Approximately 95% of the measures are within 2 standard deviations of the mean.
- Approximately 99.7% of the measures are within 3 standard deviations of the mean.
Considering the mean of 110 and the standard deviation of 15, we have that:
These values are both the most extreme within 2 standard deviations of the mean, hence the proportion of people in a population with IQ scores between 80 and 140 is of 0.95 = 95%.
More can be learned about the Empirical Rule at brainly.com/question/24537145
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It appears to be reflexive, since it's an angle congruent to itself.
The direct variation between the total cost c and the number of gallons g of the gas may be expressed as the following,
c = kg
where k is the constant of variation. In this item, it is the cost of gasoline per gallon which is $1.89. Thus, the final variation equation is,
c = 1.89g
In this exercise we have to use the knowledge of finance to calculate the amount of tickets sold to children based on the profit made, in this way we can say that this value corresponds to:
500 children's tickets.
Let's say x represents the number of children's tickets sold, y represents the number of college tickets sold, and z represents the number of adult tickets sold.
For each child ticket sold, we add x to the total. Similarly, for college tickets, we add y and for adult tickets, we add z.
The total revenue can therefore be represented as:
Replacing the values already known in the text in the formula given above, we have:
Substitute x-100 for y in the second equation
subtract 7700 from both sides to isolate the x and its coefficient
See more about finances at brainly.com/question/10024737