Answer:
The 95 percent confidence interval for the population mean is between 14.736 tons and 16.864 tons.
Step-by-step explanation:
We have the population's standard deviation, so we can find the normal confidence interval.
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of
.
So it is z with a pvalue of
, so 
Now, find the margin of error M as such

In which
is the standard deviation of the population and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 15.8 - 1.064 = 14.736 tons
The upper end of the interval is the sample mean added to M. So it is 15.8 + 1.064 = 16.864 tons
The 95 percent confidence interval for the population mean is between 14.736 tons and 16.864 tons.
3x+22.5 = 69.75
-22.5 -22.5
3x = 47.25
/3 /3
x = 15.75
The price of each shirt before tax is $15.75
The gateway arch could be 20,332 tons. this number still rounds to 20,000
Answer:

Step-by-step explanation:
Given



--- equal probability
<em>See comment for complete question</em>
Required:

To do this, we make use of complement rule:

The event that there is no girl out of the 3 children is: B B B
And the probability is:



So:



4 grams sample will be left after 1 year
Step-by-step explanation:
The decay function for percentage decay is given by:

Here,
a is the initial value
r is the rate
x is the number of time periods
Given
Initial value = 100 grams
Rate = 6% = 0.06
Time = 1 year = 52 weeks
Putting the values in the formula

Hence,
4 grams sample will be left after 1 year
Keywords: Decay, percentage
Learn more about decay functions at:
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