Answer:
Step-by-step explanation:
The coefficients of the quadratic x^2 + 7x + 3 are a = 1, b = 7 and c = 3.
The discriminant is b^2 - 4ac, or 49 - 4(1)(3), or 49-12, or 37.
Because the discriminant is positive, we know that this quadratic equation has two real, different solutions.
-7 ± √37
x = --------------- => x = (-7 + √37)/2 and x = (-7 - √37)/2
2
In words: This quadratic equation has two real, unequal solutions involving the radicand 37.
Answer:
Situation Best measure
1. The weights of wrestlers on the team varies by 74 lbs. range
2. The most popular M&M's color is green. mode
3. The mean price for an mp3 download is $1.96. mean
4. Half of the students in 3rd hour PE are 15 or older. median
Step-by-step explanation:
1. The weights of wrestlers on the team varies by 74 lbs. This is the range, the difference between the maximum and the minimum value.
2. The most popular M&M's color is green. This is the mode, the value more repeated.
3. The mean price for an mp3 download is $1.96. This is the mean.
4. Half of the students in 3rd hour PE are 15 or older. This is the median, the value in the half of the values
Answer:
The median is usually preferred in these situations because the value of the mean can be distorted by the outliers. However, it will depend on how influential the outliers are. If they do not significantly distort the mean, using the mean as the measure of central tendency will usually be preferred.
Answer:
Step-by-step explanation:
The limit is:
so, you have an indeterminate result. By using the l'Hôpital's rule you have:
by replacing, and applying repeatedly you obtain:
hence, the limit of the function is -1/14
