Answer:
32
Step-by-step explanation:
I just know that it's the answer
If the ordered pair is a solution, then the two equations in the system should be true after we plug in the points, like so:
(3) + 3(1) = 6 and 4(3) - 5(1) = 7
Then you simplify. 3 + 3 = 6 and 12 - 5 = 7, therefore the ordered pair is a solution of the given system.
Answer:
14,000 feet.
Step-by-step explanation:
A parallelogram has 4 total sides and the opposite sides are characterized as having the same length. Therefore, If we are provided the lengths of two adjacent sides we can easily calculate the perimeter by multiplying these provided lengths by 2 and then adding them together. Since we are asked to round each number to the nearest hundred, it would be the following...
(5,500 * 2) + (1,500 * 2) = x
11,000 + 3000 = x
14,000 = x
Finally, we can estimate that the perimeter of the parallelogram is 14,000 feet.
Answer:
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Answer:
Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:
Where and
From the central limit theorem we know that the distribution for the sample mean is given by:
Part a
The mean is
Part b
And the deviation:
Step-by-step explanation:
Assuming this complete info: Suppose a random variable xx is normally distributed with μ=17 and σ=5.6. According to the Central Limit Theorem, for samples of size 13:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".
Solution to the problem
Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:
Where and
From the central limit theorem we know that the distribution for the sample mean is given by:
Part a
The mean is
Part b
And the deviation: