Answer:B
Step-by-step explanation:
Since every mile is 5280 feet you have to multiply 5280 by 3 since there is 3 miles which equals 15,840
Answer:
The 98% confidence interval for the mean number of car accidents per month at a specific intersection is between 18.58 and 65.42 accidents per month.
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 = 16 - 1 = 15
98% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 15 degrees of freedom(y-axis) and a confidence level of . So we have T = 2.602
The margin of error is:
M = T*s = 2.602*9 = 23.42
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 42 - 23.42 = 18.58 accidents per month.
The upper end of the interval is the sample mean added to M. So it is 42 + 23.42 = 65.42 accidents per month.
The 98% confidence interval for the mean number of car accidents per month at a specific intersection is between 18.58 and 65.42 accidents per month.
Answer:
The answer to your question is Apothem = 9 cm
Step-by-step explanation:
Data
Area = 216 cm²
Perimeter = 48 cm
Formula
Area = Perimeter x apothem / 2
Perimeter = length of the side x number of sides
Process
Substitute the values in the area formula and simplify it.
1.- Substitution
216 = 48a/2
-Solve for a
216 x 2 = 48a
432 = 48a
a = 432 / 48
-Result
a = 9 cm
Answer:
B
Step-by-step explanation:
Remark
The easiest way to do this is to Substitute for y in the top equation.
2x + 4y = 18 Divide by 2
2x/2 + 4y/2 = 18/2
x + 2y = 9
Substitute -3x + 2 in for y in the equation above
x + 2(-3x + 2) = 9
x - 6x + 4 = 9
Combine like terms on the left
-5x + 4 = 9
Subtract 4 from both sides.
-5x + 4-4 = 9- 4
-5x = 5
Divide by -5
-5x/-5 = 5/-5
x = - 1
That makes A and C incorrect.
y = -3x + 2
y = -3(-1) + 2
y = 3 + 2
y = 5
The correct answer should be (-1,5) which is B