Answer:
46 housewives read all three magazines.
Step-by-step explanation:
Given:
n(A) = 150
n(B) = 200
n(C) = 156
n(A∩B) = 48
n(B∩C) = 60
n(A∩C) = 52
n(A∪B∪C) = 300
so we know the relation as:
n(A∪B∪C) = n(A) + n(B) + n(C) - n(A∩B) - n(B∩C) - n(A∩C) + n(A∩B∩C)
∴ n(A∩B∩C) = n(A) + n(B) + n(C) - n(A∩B) - n(B∩C) - n(A∩C) - n(A∪B∪C)
= 150 + 200+ 156 - 48 - 60 - 52 - 300
= 46
Hence the number of housewives that had read all three magazine is 46.
Answer:
Step-by-step explanation:
Given that , the sum of the first nine terms of an arithmetic series is 162 and the sum of the first 12 terms is 288.
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<u>Related</u><u> </u><u>Infor</u><u>mation</u><u> </u><u>:</u><u>-</u><u> </u></h3>
• The sum of n terms of an AP is
![\boxed{\orange{\sf S_n = \dfrac{n}{2}[2a+(n-1)d] }}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Corange%7B%5Csf%20S_n%20%3D%20%5Cdfrac%7Bn%7D%7B2%7D%5B2a%2B%28n-1%29d%5D%20%7D%7D)
• nth term of an AP is given by ,
An inscribed angle (BAC) is one half the angle of a central angle (BOC) that intercepts the same arc. Therefore, BAC = 34 degrees.
Answer:
43 students were in each bus
Step-by-step explanation:
Total students: 395
Students travelled in cars: 8
Students travelled in buses: 395-8=387
Number of buses filled:9
Number of students in each bus: 387÷9=43
Answer:
36 candy bars. (32 if sold in packs)
Step-by-step explanation:
We know that eight candy bars cost 6 dollars, and we purchased $27 dollars worth of them.
Therefore, we can use 27/6 = 4.5 to see how many packs/sets of candy bars we purchased. Since there are 8 in a pack/set, we do 8x4.5 = 36 to see we can purchase 36 candy bars. However, if you can only buy them in packs of 8, then you can only purchased 4 packs/32 bars since 6x5 = 30 and we only have 27 dollars.
