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Lubov Fominskaja [6]
3 years ago
7

Based on the Nielsen ratings, the local CBS affiliate claims its 10 p.m. newscast reaches 41% of the viewing audience in the are

a. In a survey of 100 viewers, 36% indicated that they watch the late evening news on this local CBS station. What is the null hypothesis
Mathematics
1 answer:
damaskus [11]3 years ago
4 0

Answer:

H0:p=0.41

Step-by-step explanation:

The null hypothesis always contain equality i.e. (=) sign. The null hypothesis contains the statement regarding population parameter. Here, the claim about population proportion is mentioned in the statement that 10 p.m. newscast of local CBS reaches 41% of viewers. So, the null hypothesis would be

Null hypothesis:H0: p=0.41.

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<img src="https://tex.z-dn.net/?f=sec%20%7B%7D%5E%7B2%7D%20a%20%5C%3A%20.%20%5C%3A%20cosec%20%7B%7D%5E%7B2%7D%20a%20%3D%20%20%7B
Sedaia [141]

Answer:

See below ~

Step-by-step explanation:

<u>Identities Needed</u>

  1. sec a = 1 / cos a
  2. cosec a = 1 / sin a
  3. cot a = 1 / tan a

<u />

<u>Proving</u>

  • (sec²a)(cosec²a) = tan²a + cot²a + 2

<u>Taking the LHS</u>

  • sec²a x cosec²a
  • 1/cos²a x 1/sin²a
  • 1/(sin²a)(cos²a) -(Equation 1)

<u>Taking the RHS</u>

  • tan²a + cot²a + 2
  • tan²a + cot²a + 2(tana)(cota)
  • (tana + cota)²
  • (sina/cosa + cosa/sina)²
  • (sin²a + cos²a / sinacosa)²
  • (1/sinacosa)²
  • 1/(sin²a)(cos²a)  -(Equation 2)

∴ Equation 1 = Equation 2

∴ <u>LHS = RHS</u>

Hence, proved.

4 0
2 years ago
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#7: Cole plans to purchase a car that depreciates at a rate of 9.2% per
Oliga [24]

Answer:

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6 0
3 years ago
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Answer:

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Step-by-step explanation:

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