you can use the formula for sample means:
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where m stands for a value of the sample mean.
We are looking for the value, specifically for its two borderline values: 70 and 80
and their cumulative probabilities, p(z(80)) and p(z(70)). The difference p(z(80))-p(z(70))
will give the probability that m falls in the interval [70,80]
So let's get cracking at it:
![z(70) = \frac{70-75}{5 / \sqrt{64}} = -8](https://tex.z-dn.net/?f=z%2870%29%20%3D%20%5Cfrac%7B70-75%7D%7B5%20%2F%20%5Csqrt%7B64%7D%7D%20%3D%20-8)
![z(80) = \frac{80-75}{5 / \sqrt{64}} = 8](https://tex.z-dn.net/?f=z%2880%29%20%3D%20%5Cfrac%7B80-75%7D%7B5%20%2F%20%5Csqrt%7B64%7D%7D%20%3D%208)
These are very large values of z. You may notice that any z-table online won't even bother covering range that high - the probabilities for these values are virtually 0 (in the neg case) 1 (in the pos case).
This means that numerically the probability of the sample mean of 64 samples falling within the range of 1 standard deviation is very close to 1
So the answer choice should be 1.0
First do the the parenthesis: (6-3) = 3
Now you have [-4 + 3 * 8] -10
Next do multiplication: 3 *8 = 24
Now you have [-4 + 24]-10
Now do what is in brackets: -4 + 24 = 20
Now you have 20-10
Subtract 20-10 = 10
Answer:
1+2x=y
Step-by-step explanation:
X: Number of sticks
Y= number of cakes
There is already one cake, so you must add one to the equation. You multiply x by two since 1 stick of butter (x) makes two cakes.
Answer:
-1800
Step-by-step explanation:
18=9000
23=7200
18-23=7200-9000=-1800
Since 1 gram has 1000 miligrams, that would mean that Ezra's stuffed animal has a mass of 300 000 miligrams.