Answer:
Step-by-step explanation:
Information given
represent the sample mean for the content of active ingredient
represent the sample standard deviation for the sample
sample size
represent the value that we want to test
t would represent the statistic
represent the p value for the test
System of hypothesis
We need to conduct a hypothesis in order to check if the true mean for the active agent is at least 20 mg, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
The statistic would be:
(1)
Now we can calculate the statistic:
P value
The degrees of freedom are calculated like this:
Since is a one left tailed test the p value would be:
Answer:
False
Step-by-step explanation:
the <u>dot product</u> between two vectors A and B is:
A·B=AB
where 
is the angle between the vectors, if they are parallel, this angle is zero. so 
and so the dot product is:
A·B =AB
and since 
the dot product is equal to
A·B=AB
The dot product of parallel vectors is NOT zero
a)
Let t represents number of years after 1900
so that means for 1900, value of t is 0
We are given point as (0,55)
and it says that life expectancy increases by 0.2
so that means slope,m=0.2
equation of line is y=mt +b
or y=0.2t +b
now we use point (0,55)
55 =0.2(0) +b
55 =0+b
55= b
so b=55
plug it back into the equation,we get
y=0.2t +55
b)
We are given y=73
so we plug it into the equation we got in part a and solve for t
y=0.2t +55
73 =0.2t +55
73-55 =0.2t
18 =0.2t
18/0.2 =t
90 =t
so t=90
This means the birth year =1900+t =1900+90 =1990
Answer:
28
Step-by-step explanation:
49*364= 14924
14952 - 14924= 28
Hello!
You put the numbers in for x
3/5^-2 = 2.777
3/5^-1 = 1.667
3/5^0 = 1
3/5^1 = 0.6
3/5^2 = 0.36
The points are (-2, 2.777), (-1, 1.667), (0, 1), (1, 0.6), (2, 0.36)
Hope this helps!
