Answer:
1) x = 81, y = 99
2) x = 110
3) z = 40, y = 95, x = 85
4) y = 35, z = 55, x = 35
Step-by-step explanation:
1 and 2 use similar concepts:
They both use same side interior angles to find out the exterior angle measurement. For example, for problem 1, 58 + 41 = 99, which is the measurement of the exterior angle. And because the exterior angle shares an interior angle, x, then 180 - 99 = 81.
3 and 4 use similar concepts too:
You need to find out the measurement of each variable by solving the whole triangle. For example 3, which I found the most difficult out of all 4 of the problems, all you needed to do to solve for the other angle on the right was to add 57, 45, and 38 and subtract the total of those numbers from 180 to get z. Then, for x, you add the left triangle ONLY, which is 38 + 57 = 85. Subtract 85 from 180 and you will get 95.
Hope this helps!
:)
90The information that you'd need in determining sample size when the standard deviation is unknown is:
z-value for the given level of confidence ⇒ The level of confidence is 90% and the z-value by convention is 1.645
The margin error (E) = 4%
The proportion of the population that you'd expect to vote for Yi. If this information isn't provided, use 50%. We call this value, p, the probability of success.
The probability of not success is q = 1 - 0.5 = 0.5
STEP 1:
Half the margin error = 0.04 ÷ 2 = 0.02
STEP 2:
Multiply the probability of success by the probability of fail = 0.5 × 0.5 = 0.25
STEP 3:
Divide z-score by half of E = 1.645 ÷ 0.02 = 82.25
Then square the answer = 82.25² = 6765 rounded to the nearest integer)
STEP 4:
Multiply the answer from STEP 2 by the answer from STEP 4
0.25 × 6765 = 1691 (rounded to the nearest integer)
Answer: Minimum Sample Size is 1691
Answer:
6
Step-by-step explanation:
8x+6x+6 = 90
14x = 84
x = 6
Using 4x6=24. double the factor four to get eight double the factor 24 to get 48
6 and 10 are part of the 2 table so you would have 2(3x-5) thats the farthest we can factor it down :)
