Assume that 21.6% of people have sleepwalked. assume that in a random sample of 1487 adults, 359 have sleepwalked. a. assuming that the rate of 21.6% is correct, find the probability that 359 or more of the 1487 adults have sleepwalked. b. is that result of 359 or more significantly high? c. what does the result suggest about the rate of 21.6%?

a. The probability that 359 or more of 1487 adults sleepwalked is zero (0).

b. Yes, it's significantly higher than the 21.6% of people who sleepwalked.

c. The result suggests 321 adults.

Step-by-step explanation:

a. The assumed 359 sleepwalked adults exceed the 21.6% correct rate. 359 sleepwalked adults give 24.1%.

b. Yes, it is significantly high because it's 24.1% instead of correctly assumed 21.6%.

c. 21.6% sleepwalked adults give 321.2 people. Hence, people can only be in whole of numbers. Therefore, it is 321 adults.

45 degres

step-by-step explanation:

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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).