Engineers must consider the breadths of male heads when designing helmets. The company researchers have determined that the population of potential clientele have head breadths that are
normally distributed with a mean of 5.8-in and a standard deviation of 1.2-in.
In what range would you expect to find the middle 98% of most head breadths?
Between and
If you were to draw samples of size 33 from this population, in what range would you expect to find
the middle 98% of most averages for the breadths of male heads in the sample?
Between and
Enter your answers as numbers. Your answers should be accurate to 2 decimal places.
Question Help: D Post to forum
Calculator
Submit Question

something that characterises a right triangle is the fact that we may use pythagoras' theorem to find any one of its sides given that we have the length of the other two sides. here, we have the length of the hypotenuse, √(87) yd, and one other side, √(23) yd, thus we can easily find the length of the remaining side using pythagoras' theorem as defined below:

c^2 = a^2 + b^2, where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

thus, given that c = √(87) and a = √(23), we may substitute these into the formula we defined above to get:

c^2 = a^2 + b^2

(√87)^2 = (√23)^2 + b^2 (substitute c = √87 and a = √23 into the equation)

87 = 23 + b^2 (evaluate (√87)^2 = 87 and (√23)^2 = 23 - remember that the square root of a number, squared will equal that very same number)

64 = b^2 (subtract 23 from both sides)

√64 = b (take the square root of both sides)

8 = b (evaluate √64 = 8)

therefor, the length of the unknown leg in the right triangle is 8 yd (first answer).

step-by-step explanation:

what does 'mandy have ben 780 bottle caps. ' mean?