The Given Triangle PMO is a Right Angled Triangle with m∠M = 90°
Given m∠P = 40°
We know that : Sum of Angles in a Triangle = 180°
⇒ m∠P + m∠M + m∠O = 180°
⇒ 40° + 90° + m∠O = 180°
⇒ 130° + m∠O = 180°
⇒ m∠O = 180° - 130°
⇒ m∠O = 50°
We can notice that m∠O and m∠1 form a Linear Pair (180°)
⇒ m∠O + m∠1 = 180°
⇒ 50° + m∠1 = 180°
⇒ m∠1 = 180° - 50°
⇒ m∠1 = 130°
Last Option is the Answer
Answer:
B) 36 girls will choose the zoo
Step-by-step explanation:
The data from sample gathered is
Boys Girls
Zoo 15 8
Museum 10 12
Total 25 20
The question asks about what will the data for 90 girls and 78 boys will look like. We can use the data as proportion and make the expected value for the new data. There are 90 girls in the question and the sample is 20 girls, so it's 90/20= 4.5 times larger than the sample. The expected data will be:
Girls
Zoo 8 x 4.5 = 36
Museum 12 x 4.5 = 54
Total 20x 4.5 = 90
The number of boys is 78 while the sample is 25, the data will be
Boys
Zoo 15 x 78/25 = 46.8
Museum 10 x 78/25 = 31.2
Total 25x 78/25 = 78
The answer will be 36 girls will choose the zoo
Answer:
Step-by-step explanation:
<u>Revenue share of Dept. 1:</u>
<u>Revenue share of Dept. 2:</u>
Allocate the indirect salary with same ratio.
<u>Dept. 1:</u>
<u>Dept. 2:</u>
1) Answer:
2) Answer:
The answer for first equation is, option B.
and the Answer for Second equation is option D.
7/k - 2 = 5/8
7/k = 5/8 + 2
7/k = 2.625
7 = 2.625k
7/2.625 = 2.625k/2.625
2(2/3) = k
k = 2(2/3)
