Answer:
The 99% confidence interval of the population mean for the weights of adult elephants is between 12,475 pounds and 12,637 pounds.
Step-by-step explanation:
We have the standard deviation for the sample, so we use the t-distribution to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 10 - 1 = 9
99% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 9 degrees of freedom(y-axis) and a confidence level of 
. So we have T = 3.25
The margin of error is:
M = T*s = 3.25*25 = 81
In which s is the standard deviation of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 12,556 - 81 = 12,475 pounds
The upper end of the interval is the sample mean added to M. So it is 12,556 + 81 = 12,637 pounds.
The 99% confidence interval of the population mean for the weights of adult elephants is between 12,475 pounds and 12,637 pounds.
Answer:
-103
243
Step-by-step explanation:
(q•r)(5) = q(r(5))
r(5) = 2(5²) + 1 = 51
q(51) = -2(51) - 1 = -103
(r•q)(5) = r(q(5))
q(5) = -2(5) - 1 = -11
r(-11) = 2(-11)² + 1 = 243
Answer:
X ≥ 10
Step-by-step explanation:
Answer:
$30
Step-by-step explanation:
Let 6 cans represent an "order" of fruit juice. 72 cans means 12 orders (72 divided by 6). Since each order costs $2.50, 12 orders costs $30 (12 multiplied by 2.5).
When you see the 'line' is increasing starting from 0 to 2 hours, this indicates that the person on the graph is riding up a hill. This is known as positive acceleration or constant positive acceleration.
Where you see the 'line' stays the same 2 to 5 hours, this can indicate that the bike rider is doing one or two things. One thing the biker could be doing is taking a rest, and the other could be that the biker is riding at a leveled ground. This could be known as having constant velocity or zero acceleration.
Finally, where the 'line' is decreasing from 5 to 6 hours, this can indicate that biker is riding, possibly, down a hill. This is known as negative acceleration.
And of course, when the 'line' is going up again from 6 to 7 hours, this indicates that the biker is riding up a hill or increasing his speed. This is known as positive acceleration or constant positive acceleration.
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- Marlon Nunez
