Answer: The 1st one is 1 soultion the 2nd one is 1 soultion the 3rd one is multiple soultion and the last one is multiple solution
Step-by-step explanation: hope I am right?
Answer:
Option B) 0.1032; fail to reject 
Step-by-step explanation:
We are given the following information in the question:
We used two tailed z-test to perform the hypothesis.

Level of significance, α = 0.05
We have to calculate the p-value.
We calculate the p-value from the normal standard z-table.
p-value = 0.1032
Since,
p-value > Level of significance
We fail to reject the null hypothesis and accept it.
Option B) 0.1032; fail to reject null hypothesis
Correct answer for the above question is - option B. 86°
<u>Step-by-step explanation:</u>
Given:
∠NOP = 24°
∠NOQ = 110°
∠NOP and ∠POQ are adjacent angles
To Find:
∠POQ = ?
Solution:
Hereby, we can say that ∠POQ lies between line OQ and ON as given (∠NOP and ∠POQ are adjacent angles )
∠NOQ - ∠NOP = ∠POQ
∠POQ = 110° - 24°
<u>∠POQ = 86°</u>
Angle POQ is 86°
Thus we can conclude option B as correct answer.
Answer:
Option D
Step-by-step explanation:
From the picture attached,
In the parallelogram ABCD,
Length of diagonals AC and BD are equal.
By the property,
"If the lengths of the diagonals of a parallelogram are equal, parallelogram will be a rectangle".
Therefore ABCD is a rectangle.
That means all interior angles of the given rectangle will be 90°.
Now we apply Pythagoras theorem in right triangle ΔABC,
AC² = AB² + BC²
(22)² = (12)² + (BC)²
484 - 144 = (BC)²
BC = √340
BC = 18.44 inches
Dimensions of the given box are 12 inches by 18.44 inches.
Dimensions of the rectangular tray is 11.5 inches by 18 inches.
Since, dimensions of the box are larger than the dimensions of the tray, tray can be adjusted in the box.
Therefore, Option D will be the answer.