Answer:
2,455
Step-by-step explanation:
Use PEMDAS to solve
First multiply 50x50, which is 2,500
50 x 50 + 60 - 105 becomes
2,500 + 60 - 105
Now to the addition or subtraction from left to right
2,560 - 105
2,455
base times height divided by 2
8 time 6 is 48 divided by 2 is 24
My answer may not be correct but I feel pretty confident. The answer is $549.08
Note that A of a circle is A = pi*r^2.
Here, we use A = 3.14*r^2.
We are able to solve this for r^2: r^2 = A / 3.14
If A = 1964 square units, then r^2 = (1964 sq units) / 3.14, or about 625 sq units, so that r is about 25 units. This would be the largest possible radius.
f A = 1810 square units, then r^2 = (1810 sq units) / 3.14, or about 576 sq units, so that r is about 24 units. This would be the smallest possible radius.
The radius would be between 24 and 25 units long (answer)
Answer:
Assuming ages are normally distributed, the 98% confidence interval for the population average age is [26.3, 35.7].
Step-by-step explanation:
We have to construct a 98% confidence interval for the mean.
The information we have is:
- Sample mean: 31
- Variance: 49
- Sample size: 15
- The age is normally distributed.
We know that the degrees of freedom are

Then, the t-value for a 98% CI is t=2.625 (according to the t-table).
The standard deviation can be estimated from the variance as:

The margin of error is:

Then, the CI can be constructed as:
