Answer:
99.7% of the sample proportions will fall between 0.133 and 0.307.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 0.22
Standard deviation = 0.029
99.7% of the sample proportions will fall within which of the following intervals?
Within 3 standard deviations of the mean.
Lower end: 0.22 - 3*0.029 = 0.133
Upper end: 0.22 + 3*0.029 = 0.307
99.7% of the sample proportions will fall between 0.133 and 0.307.
Number of aircrafts = 2939.93 + 233.517 * (years since 1990).
The predicted number of aircrafts flying in 1992 (1922 does not make sense for this equation because it returns a negative number of aircrafts) is found by pluging in the years since 1990 to 1992 = 1992 -1990 = 2 =>
number of aircrats = 2939.93 + 233.517 * (2) = 3406.96.
That is the predicted number.
The actual number is on the graph. You just go to the explanatory value 2 (years since 1990) on the horizontal axis, move straight upward until you reach the corresponding point on the graph, and read its vertical coordinate (go horizontally to the left until the vertical axis)
ANSWER: 60 female lions
In the ratio there are 21 male lions and 20 female lions, in total 41 lions. Create a proportion relating the total number of lions in the ratio (41) and in the problem (123), and the number of female lions in the ratio (20) and in the problem (unknown).
20/41 = x/123
Cross multiply and solve
20(123)=41x
2460=41x
60=x
Answer:
3/5
Step-by-step explanation:
Step one:
given data
Amy saved 1/5
her brother 4/5
Required
How much more did her brother save
Step two:
let us subtract Amy's savings from her brother's
4/5-1/5
=4-1/5
=3/5
No the length of a triangle 2 smaller sides has to be greater than the sum of the other longer side
