Answer:
8.2+/-0.25
= ( 7.95, 8.45) years
the 95% confidence interval (a,b) = (7.95, 8.45) years
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
x+/-zr/√n
Given that;
Mean x = 8.2 years
Standard deviation r = 1.1 years
Number of samples n = 75
Confidence interval = 95%
z value(at 95% confidence) = 1.96
Substituting the values we have;
8.2+/-1.96(1.1/√75)
8.2+/-1.96(0.127017059221)
8.2+/-0.248953436074
8.2+/-0.25
= ( 7.95, 8.45)
Therefore the 95% confidence interval (a,b) = (7.95, 8.45) years
Answer:
107.14 ml of 70% dextrose and 392.86 ml of sterile water should be used.
Step-by-step explanation:
Since a label prints in the pediatric pharmacy satellite for 500 mL of dextrose 15% solution, but this concentration is not available commercially and needs to be compounded, and available in your pharmacy, you have a 1 L bag of sterile water and a 1 L bag of dextrose 70% available to compound the solution, to determine how many mLs of each are needed to make the requested solution, the following calculation must be performed:
500 x 0.15 = 75
100 x 0.70 = 70
A x 0.70 = 75
A = 75 / 0.70
A = 107.14
Therefore, 107.14 ml of 70% dextrose and 392.86 ml of sterile water should be used.
Answer:
p^(-9) or 1/p^9
Step-by-step explanation:
Here we have:
(5p)^(-7)
----------------
(20p)^2
Let's temporarily remove the coefficient 5/20 and reduce it to 1/4.
then we have:
1 1 1
(1/4) ------------- = (1/4) -------------- = ------------
p^7*p^2 p^(7 + 2) p^9
There's no real need to rationalize the denominator in the second term, since

and this term is ready to be integrated via the power rule. Rationalizing doesn't really help here.
C
A slope of

means that for every time x goes up by 3, y goes up by 4.
28 - 22 = 6 which is 2 times 3.
while 10-2 = 8 which is 2 times 4.
This fits the slope.