Answer:
A. The distribution of sample means of the differences will be approximately normal if there are at least 30 years of data in the sample and/or if the population of differences in winning times for all years is normal.
Step-by-step explanation:
In other to perform a valid paired test, one of the conditions required is that, data for both groups must be approximately normal. To attain normality, the population distribution for the groups must be normal or based on the central limit theorem, the sample size must be large enough, usually n > 30. Hence, once either of the two conditions are met, the paired sample will be valid.
c = circumference
pi = 3.14
r = radius = 9 inches
d = diameter
c=pi*d
The radius is half of the diameter, d = 2r. Then d = 2*9=18.
plug into equation. c= pi*d = 3.14*18
round accordingly and you may want to include that the measurement you end up with is in inches.
1 UK fl oz = 28,413 ml
2 UK fl oz = 56,826 ml
If 5ml contains 160mg
56,826fl oz contains X mg
________________________
56,826 X 160 = 9,092,160
9,092,160 / 5 = 1818,432mg acetaminophen needed
Answer:
(D)109
Step-by-step explanation:
Mean = 450 seconds
Standard deviation = 50
First, we determine the probability that the expected response time is between 400 seconds and 500 seconds, P(400<x<500)
Using the Z-Score,

From the Z-Score table
P(-1<x<1) = 0.68269
The probability that the expected response time is between 400 seconds and 500 seconds is 0.68269.
Since there are 160 Emergencies
Number whose expected time is between 400 seconds and 500 seconds

First you need to find how much is left in the container by finding the whole volume.
cylinder volume= πr²h where r is the radius and h is hight
V= (3.14)*(5²)*(10)
V=(31.4)(25)
V=785cm³ is the total volume
now half has been used so divide that number in half
785/2= 392.5cm³
now she uses 4cm³ a day so divide
392.5/4= 98.125
round to the nearest whole number
answer is B 98