For one part of the study, n = 114 male athletes from eight canadian sports centers were surveyed. their average caloric intake was 3077.0 kilocalories per day (kcal/d) with a standard deviation of 987.0. the recommended amount is 3421.7. is there evidence that canadian high-performance male athletes are deficient in their caloric intake?

Yes there is evidence that Canadian high-performance male athletes are deficient in their caloric intake

Step-by-step explanation:

Expected value of one Canadian Player caloric intake is 3077 calories. Standard deviation of those players are 987. Lets consider that they fits in Gaussian distribution model. We need to find Z value to find the percentage of athletes that take more than 3421,7 calories.

As you can see at the attachment %63,7 of athletes are taking less than 3421.7 Calories.

Approximately 73 athletes are taking less than 3421.7 Calories.

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.