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Mumz [18]
3 years ago
7

Is it correct to say that the probability that μ is in the specified interval is 99%? explain?

Mathematics
1 answer:
irga5000 [103]3 years ago
7 0
For a 99% confidence interval for μ based on a simple random sample.


Part (a):

Is it correct to say that the probability that μ is in the specified interval is 99%? Explain.

No. The probability that μ falls inside the interval is 0 or 1.

Rather we say that we are 99% confident that μ will fall inside the interval.



Part B:

Is it correct to say that in the long run, if you computed many, many confidence intervals using the prescribed method, about 99% of such intervals would contain μ?

Yes. 99% of intervals constructed using this method will capture the population mean μ.
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Verify the pythagorean identity 1 + c o t ^2 θ = c s c ^2 θ
Grace [21]

Answer: The identity is verified. See the explanation.

Step-by-step explanation:

You must keep on mind the following identities:

csc\theta=\frac{cos\theta}{sin\theta}\\\\csc\theta=\frac{1}{sin\theta}\\\\sin^2\theta+cos^2\theta=1

Therefore, by substitution, you can rewrite the identity as shown below:

1+cot^2\theta=csc^2\theta\\\\1+\frac{cos^2\theta}{sin^2\theta}=csc^2\theta

Simpliying, you obtain:

\frac{sin^2\theta+cos^2\theta}{sin^2\theta}=csc^2\theta\\\\\frac{1}{sin^2\theta}=csc^2\theta\\\\csc^2\theta=csc^2\theta

The identity is verified.

6 0
3 years ago
Which would have an answer equal to the product of 9 and 8
madreJ [45]

Answer:

6 x 12

Step-by-step explanation:

Because the product of 9 x 8 is 72, we can divide 72 by different numbers using a calculator to find factors that have the same product as 9 x 8.

8 0
4 years ago
Joe has eaten 2/5 of a pizza. Jane has eaten 1/3 of a pizza. How many times more pizza has joe eaten than jane?
igomit [66]

Answer:

1.2

Step-by-step explanation:

(2/5)/(1/3)=1.2

8 0
4 years ago
Can someone help me with this? Thanks! :)
melomori [17]

Answer:

\huge\boxed{c)\ 15,\ 36,\ 39}

Step-by-step explanation:

\text{Let}\ a\leq b\leq c\ \text{the sides of the triangle}.\\\\\text{If}\ a^2+b^2=c^2\ \text{then a triangle is a right triangle}\\\\\text{If}\ a^2+b^2c^2\ \text{then a triangle is a acute triangle}

a)\ 28,\ 45,\ 53\\\\28^2+45^2=784+2025=3593\\53^2=2809\\\\28^2+45^2>53^2\to\text{acute triangle}\\\\b)\ 17,\ 22,\ 29\\\\17^2+22^2=289+484=773\\29^2=841\\\\17^2+22^2

6 0
3 years ago
Wat are factors of 18 ??
Semenov [28]
<span>1, 2, 3, 6, 9, and 18</span>
7 0
3 years ago
Read 2 more answers
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