How do I turn 5 — 3(х+1) — 2y — 3х + 2 into an y=mx+b form
1 answer:
Answer:
y = -3x + 2
Step-by-step explanation:
Ok so I assumed that you are setting this equal to 0 or there would be an equal sign in the equation. So basically you just want to gather like terms on each side so the y's on the left and the x's on the right. You then want to solve using algebra and you have your answer! I will add a picture to show my steps.
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Answer:
(a)
(b) The <em>z</em>-score for the sample mean = 51 is 2.
(c) The value of is 0.9773.
Step-by-step explanation:
The random variable <em>X</em> has mean, <em>μ</em> = 50 and standard deviation, <em>σ</em> = 4.
A random sample of size <em>n </em>= 64 is selected.
(a)
According to the Central Limit Theorem if we have a population with mean <em>μ</em> and standard deviation <em>σ</em> and appropriately huge random samples (<em>n</em> > 30) are selected from the population with replacement, then the distribution of the sample mean will be approximately normally distributed.
Then, the mean of the distribution of sample mean is given by,
And the standard deviation of the distribution of sample mean is given by,
The sample of <em>X</em> selected is, <em>n</em> = 64 > 30.
So, the Central limit theorem can be applied to approximate the distribution of sample mean ().
(b)
The <em>z</em>-score for the sample mean is given as follows:
Compute the <em>z</em>-score for = 51 as follows:
Thus, the <em>z</em>-score for the sample mean = 51 is 2.
(c)
Compute the value of as follows:
*Use a <em>z</em>-table for the probability.
Thus, the value of is 0.9773.
