Answer:
p value is 0.1343
Step-by-step explanation:
Null: u>= 442
Alternative: u < 442
Using the formula for z score:
(x - u)/sd/√n
Where x is 438, u = 442 sd can be determined from the variance = √variance =√576 = 24 and n = 44
z score = 438-442 / (24/√44)
z score = -4/(24/6.6332)
z = -4/3.6182
z =-1.1055
Now let's find the p value at 0.1 significance level using a z score of -1.1055, using a p value calculator, p value is 0.1343 which greatest than 0.1 meaning the day is not sufficient enough to conclude that the machine is underfilling the bags.
Percent out of something
first, convert to same
1km=1000m
1.5km=1500m
780/1500=52/100=52%
answer is 52%
Answer: The fifth piece of paper could have any number 9 and less or 14 and greater.
Step-by-step explanation: The list of choices is not given in the question, but it makes sense that the new number would not be a duplicate of any of the numbers 10, 11, 12, 13. Otherwise that would change the probability to 5/5.
So any other number could be a possibility.
The Answer is C: 64
~Spades
Right triangle 30 60 90
short leg = 1/2 hypo = 4√2 / 2 = 2√2
so x = 2√2
long leg = short leg times √3 = 2√2 * √3 = 2√6
so y = 2√6
answer C.
x = 2√2 ; y = 2√6