I believe this would be 965*10^12.
1.)-1414
2.)-1212
3.)92,927,180,577
4.)99,315,340,215
Hope this helps.
Answer:
Step-by-step explanation:
hello,
we need to evaluate f(15) so
f(15)=4*15-3=60-3=57
Hope this helps
Hello from MrBillDoesMath!
Answer: Only the top left relation is a function.
Discussion:
In the other 3 relations, a vertical line drawn through their graphs intersects the graph in more than 1 point (meaning they aren't functions)
Regards, MrB
Answer:
6days
Step-by-step explanation
Let's make an equation from this expression.
From the number of potatoes at the first warehouse after x days is:
y = 210 + 90x .............. 1
From the number of potatoes at the second warehouse after x days is:
y = 180 + 120x .............. 2
First warehouse having 1.2times
y = ( 210 + 90x ) × 1.2
y = 252 +108x ................... 3
Now, equate 2 and 3
252 + 108x = 180 + 120x
252 - 180 = 120x - 108x
72 = 12x
x = 72/12
x = 6
Now, substitute 6 into equation 1 and 2
From 1 , y = 210 + 90x
y = 210 + 90 ×6
y = 210 + 540
y = 750
From equation 2
y = 180 + 120x
y = 180 + 120×6
y = 180 + 720
y = 900
Recall that equation 1 was to be 1.2times
From the answer in equation 1
y =750
y = 750 × 1.2
y = 900
Hence, the answer is correct.
Answer:
The 90% confidence interval would be given by (0.026;0.073)
Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
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 population proportion have the following distribution
Solution to the problem
The estimated proportion for this case is:

Represent the proportion of defectives for this case
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by
and
. And the critical value would be given by:
The confidence interval for the mean is given by the following formula:
If we replace the values obtained we got:
The 90% confidence interval would be given by (0.026;0.073)