Answer:
Smoothie = 3
Ice cream = 1.5
Step-by-step explanation:
2s + i = 7.5
3s + 2i = 12
subtract the equations
(3s + 2i) - (2s + i) = s + i
s + i = 4.5
2s + i = 7.5, so s must equal 3 (7.5 - 4.5)
If s = 3, then i is 1.5 (4.5 - 3.5)
To check, plug 3 and 1.5 into s and i.
2(3) + 1.5 = 7.5
6 + 1.5 = 7.5
7.5 = 7.5
3(3) + 2(1.5) = 12
9 + 3 = 12
12 = 12
Answer:
x1/2
Step-by-step explanation:
Simplify the following:
(3 x1)/6
Hint: | In (x1×3)/6, divide 6 in the denominator by 3 in the numerator.
3/6 = 3/(3×2) = 1/2:
Answer: x1/2
Answer:
And we are 95% confident that the true mean of chloride concentration is between 0.375 and 0.377 cc/ cubic meter
Step-by-step explanation:
Data provided
represent the sample mean for the chloride concentration
population mean (variable of interest)
s=0.0012 represent the sample standard deviation
n=15 represent the sample size
Confidence interval
The confidence interval for the mean is given by the following formula:
(1)
Since we need to find the critical value first we need to begin finding the degreed of freedom
The Confidence is 0.95 or 95%, the significance would be 
and 
, and the critical value for this case with a t distribution with 14 degrees of freedom is 
And the confidence interval is:
And we are 95% confident that the true mean of chloride concentration is between 0.375 and 0.377 cc/ cubic meter
Answer:
t(c) = 3.355
Step-by-step explanation:
We assume a normal distribution, and with sample size n = 9 we should follow a t -student test on both tails since the FDA is interested in determining if the amount of drug absorbed is different from 3.5 micrograms.
Therefore if α = 0,01 that means that confidence interval is 99 % or 0,99
Finally with α/2 = 0,005 and 8 degrees of freedom we find in t-student table t(c) = 3.355
Answer:
x <= -42.5
Step-by-step explanation:
65 - 2x >= 150
-2x >= 150 - 65
-2x >= 85
2x <= -85
x <= -85/2
x <= -42.5
