X = 5 and y = -12 is in the fourth quadrant. Hypotenuse = 13
sin theta = opposite / hypotenuse = -12 /13
Answer:
x=6 and z=107
Step-by-step explanation:
From the figure or diagram we can say that
z+15x-17=180 ---(1)
z+11x+7=180 ---(2)
Subtracting (1) and (2)
z+15x-17-(z+11x+7)=180-180
4x-24=0
4x=24
x=6
Substitute x=6 in (2)
z+11(6)+7=180
z+66+7=180
z=180-73
z=107
Assuming you are focusing on the square only, then the answer is 9 inches.
You take the square root of 81 to get 9. Notice how 9^2 = 9*9 = 81. So if you're not familiar with square roots, then think backwards in a sense to get the answer.
Answer:
3.83
Step-by-step explanation:
Mean of x = Σx / n
Mean of x = (14 + 19 + 13 + 6 + 9) / 5 = 12.2
Sum of square (SS) :
(14-12.2)^2 + (19-12.2)^2 + (13-12.2)^2 + (6-12.2)^2 + (9-12.2)^2 = 98.8
Mean of y = Σy / n
Mean of y = (101 + 89 + 48 + 21 + 47) / 5 = 61.2
Σ(y - ybar)² = (101-61.2)^2 + (89-61.2)^2 + (48-61.2)^2 + (21-61.2)^2 + (47-61.2)^2 = 4348.8
df = n - 2 = 5 - 2 = 3
Σ(y - ybar)² / df = 4348.8 / 3 = 1449.6
√(Σ(y - ybar)² / df) = √1449.6 = 38.074
Standard Error = √(Σ(y - ybar)² / df) / √SS
Standard Error = 38.074 / √98.8
Standard Error = 3.83
Answer:
0.5981 = 59.81% probability that three or less of the selected adults have saved nothing for retirement
Step-by-step explanation:
For each adult, there are only two possible outcomes. Either they save nothing for retirement, or they save something. The probability of an adult saving nothing for retirement is independent of any other adult. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
20% of adults in the United States save nothing for retirement (CNBC website).
This means that
Suppose that sixteen adults in the United States are selected randomly.
This means that
What is the probability that three or less of the selected adults have saved nothing for retirement?
This is:
In which
0.5981 = 59.81% probability that three or less of the selected adults have saved nothing for retirement