Answer: The correct answer is 1
Step-by-step explanation:
A square rotated about its center by 360º maps onto itself at 90°, 180°, 270° and 360° - 4 different angles of rotation.
You can reflect a square onto itself across two diagonals and two segments that connects the middlepoints of opposite sides - 4 different lines of reflection.
Answer:
The margin of error for a 95% confidence interval estimate for the population mean using the Student's t-distribution is of 6.22 ounces.
Step-by-step explanation:
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 = 23 - 1 = 22
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 22 degrees of freedom(y-axis) and a confidence level of
. So we have T = 2.0739
The margin of error is:
M = T*s
In which s is the standard deviation of the sample.
In this question:
s = 3.
Then
M = 2.0739*3 = 6.22
The margin of error for a 95% confidence interval estimate for the population mean using the Student's t-distribution is of 6.22 ounces.
Answer:
x = 2
y = -1
Step-by-step explanation:
Make the coefficient of x the same
Multiply the first equation by 29
31x + 29y = 33 becomes
899x + 841y = 957
Multiply the second equation by 31
29x + 31y = 27 becomes
899x + 961y = 837
Subtract the equations
(899x + 841y) - (899x + 961y) = 957 - 837
(899x - 899x) + (841y - 961y) = 120
841y - 961y = 120
-120y = 120
y = 120/-120 = -1
Substitute the value of y into both equations to find the value of x and check its right.
31x + 29y = 33
31x + 29(-1) = 33
31x - 29 = 33
31x = 33 + 29
31x = 62
x = 62/31 = 2
29x + 31y = 27
29x + 31(-1) = 27
29x - 31 = 27
29x = 27 + 31
29x = 58
x = 58/29 = 2
14.5 ounce, multiply the 2 numbers together.