Hello! A triangle has angles that sum up to 180°. So first off, let's solve for the angle of the other triangle. 83 + 31 gives us 114. 180 - 114 is 66. So the angle for the first triangle is 66°. The opposite angle would be the same. Finding the measurement of the other triangle gives us the measurement of x, because the angles are the same. So x = 66°.
Margin of error formula:
ME = z * (Sigma) / √ n
z = 1.96 for a 95 % confidence interval;
Sigma = 3 ( the population standard deviation )
n = 500
ME = 1.96 * 3 / √500 =
= 1.96 * 3 / 22.36 =
= 5.88 / 22.36 = 0.263
Answer:
The margin error for a 95% confidence interval is 0.263.
Answer:
C
Step-by-step explanation:
The equation would use to determine how long he drove each way is 2x - 8 = 60.
<h3>What is the equation?</h3>
The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
We have been given that Lots took one hour to drive from his apartment to Philips arena and back. the return drive took 8 minutes less than the trip to the arena.
Since the return trip took 8 minutes less, the complete equation must be written in minutes.
Here x - 8 represents the time it took to return to Philips Arena.
The total travel time, including both directions, was 60 minutes;
thus, add x and x - 8 and set them both equal to 60.
So 2x - 8 = 60
Therefore, the equation would use to determine how long he drove each way is 2x - 8 = 60.
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Answer:
88°
Step-by-step explanation:
The triangle is an isosceles triangle, so two of the angles are both 46°. We also know that the sum of all the angles in any triangle is 180°, so we can set up the following equation:
46° + 46° + e = 180°
Solving this gets e = 88°.
