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:
To see how these fractions are equal, I divided the numerators by the denominators. For instance, you could have 4 over 5 (4/5) and divide 4 by 5 (4/5) to get 0.8. Now you'll do the same thing for the fractions given
24/45=0.533...
8/15=0.533...
48/90=0.533...
5/9=0.5556
As you can see, the only fraction that doesn't equal 0.53, or the outlier, is 5/9 or 0.5556
Step-by-step explanation:
Answer:
The person invested $3500 at 7% and $2500 at 5%
Step-by-step explanation:
We can say that 
because the investment is equal both in one as in another, where x is the income from the investment.
Solving the equation we have:
Then to get the incomes:
At 7%: 
And at 5%: 
Finally we can demonstrate the answer because the income at 7% + income at 5% are 3500+2500=$6000
Answer:
r = 29.82
Step-by-step explanation:
We have the equation r/7.1 = 4.2 and are asked to solve for r.
To solve, we need to isolate r, do as followed and multiply 7.1 from both sides:
r/7.1 = 4.2
r = 29.82
Answer:
REALS. all real numbers are solution for the equation
Step-by-step explanation:
for the equation
x² = (x + 3)*(x − 3) + 9
distributing the terms in the parenthesis
x² = (x + 3)*(x − 3) + 9 = [x² - 3*x + 3*x - 3*3 ] + 9
x² = x² - 9 + 9
0 = 0
since this statement will be true regardless of the value of x , then the equation has solution for all real numbers .
