Answer:
the minimum sample size n = 11.03
Step-by-step explanation:
Given that:
approximate value of the population standard deviation
= 49
level of significance ∝ = 0.01
population mean = 38
the minimum sample size n = ?
The minimum sample size required can be determined by calculating the margin of error which can be re[resented by the equation ;
Margin of error = 





n ≅ 11.03
Thus; the minimum sample size n = 11.03
There are 6! = 720 ways of arranging the lamps.
If the leftmost lamp is red, there are 3 choices of lamp in the leftmost position, and the remaining 5 can be placed in any order, so there are 3×5! = 360 ways of arranging the lamps and the leftmost is red.
Hence there is a 360/720 = 1/2 probability that the leftmost lamp is red.
Ignoring lamp color for the moment, the probability of arranging 3 lit lamps and 3 unlit lamps is the same, 1/2.
Since Ryan arranges the lamps randomly by color, then turns 3 of them on randomly, the two events are independent. So
P(leftmost red AND leftmost lit) = P(red) × P(lit) = 1/2² = 1/4
Answer:
The answer is "
".
Step-by-step explanation:
Let assuming the following predicates:

In the given table it calculates the numbered sequence, which is given in the statement and calculates the other details, please find the attached file.
Premise P1 means whether dogs are shouting at cats.
Premise P2 means Maximum is a dog.
Premise P3 means that a cat is Moonbeam.
Unless the assumptions P1, P2, and P3 all are valid, otherwise the conclusion that Maximum starts barking at Moonbeam also is correct.
By both the law of deduction of Modus Ponens, statement 4 is the interpretation of states 1, 2, and 3. That conclusion can thus be conveyed as follows:
so, the final answer is "
"
Answer:
the area of a circle with a circumference of 11π feet is
A≈9.63