Answer: negative
Step-by-step explanation:
With yx = zx, then by the Multiplicative Property of Equality, y = z. Since z is a negative integer, then y is also a negative integer. Since yx is positive, with y equal to a negative integer, then x is negative.
Should be 3
hope this helps
Steps in constructing a circumscribed circle on a triangle using a just a compass and a straight edge.
1) construct a perpendicular bisector of one side of ΔRST.
2) construct another perpendicular bisector of another side of ΔRST
3) the point where the two bisectors intersect will be the center of the circle.
4) place the compass on the center point, adjust its length to ensure that any corner of the triangle will be reached and draw the circumscribed circle.
We are given the following data:
Sample Size = n = 1000
Sample Mean = u = 15 hours
Population Standard Deviation = s = 2 hours
Since we know the population standard deviation, we can use z distribution to find the confidence interval about the mean. z value for 95% confidence interval is 1.96.
Formula for the confidence interval is:

Using the values in the formula, we get:

Therefore, the 95% confidence interval about the population mean is 14.88 hours to 15.12 hours. So B option is the correct answer.
Answer: both the left and right sides go to +∞
<u>Step-by-step explanation:</u>
End behavior can be determined by two things:
- Sign of the leading coefficient
- Degree of the function
<u>Sign of leading coefficient</u>:
positive: right side goes to +∞
negative: right side goes to -∞
⇒ Leading coefficient of this function is 3 so the right side goes to +∞
<u>Degree (exponent of leading coefficient)</u>:
even: both the left and right sides point in the SAME direction
odd: the left and right sides point in OPPOSITE directions
⇒ Degree of this function is 4 so the left side will point in the same direction as the right side.