Answer:
x = 15
y = 7.5
Step-by-step explanation:
✔️Diagonals of a parallelogram bisect each other at 90°.
Therefore,
2x° + 60° + 90° = 180° (sum of triangle)
Solve for x
2x + 150 = 180
2x = 180 - 150
2x = 30
2x/2 = 30/2
x = 15
✔️2x = 4y (alternate angles/corresponding angles)
Plug in the value of x
2(15) = 4y
30 = 4y
30/4 = y
7.5 = y
y = 7.5
A 95% confidence interval on the z-table is 1.96.
Now find the standard error using the formula: standard deviation / square root sample size:
0.7 / √100 = 0.07
Multiply to the confidence interval: 1.96 x 0.07 = 0.137 = 0.14
Now add and subtract tot he average weight:
14 - 0.14 = 13.86
14 + 0.14 = 14.14
The answer is 13.96 ≤ u ≤ 14.14