Answer:
3.8 = 38/10
Step-by-step explanation:
The given number = 3.8
We have to write 3.8 in fraction form a/b
Here we have 1 digit after the decimal. To get rid off the decimal number, we need to multiply both the numerator and the denominator by 10 since we have to 1 digit after the decimal.
= 38/10
Therefore, the answer is 3.8 = 38/10
Thank you.
Answer:
The p value can be calculated from the alternative hypothesis with this probability:
And the best option for this case would be:
C. between 0.01 and 0.05.
Step-by-step explanation:
Information provided
represent the number of smokers from the sample in 1995
represent the number of smokers from the sample in 2010
sample from 1995
sample from 2010
represent the proportion of smokers from the sample in 1995
represent the proportion of smokers from the sample in 2010
represent the pooled estimate of p
z would represent the statistic
represent the value for the pvalue
System of hypothesis
We want to test the equality of the proportion of smokers and the system of hypothesis are:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
Where
Replacing the info given we got:
The p value can be calculated from the alternative hypothesis with this probability:
And the best option for this case would be:
C. between 0.01 and 0.05.
The value of the length DF is 1/4 of that of CD because of the Angle Bisector Theorem for triangles.
<h3>What is the Angle Bisector Theorem?</h3>
The Angel Bisector Theorem states that if a ray bisects an angle of a triangle, it dissects the side of the triangle that is opposite to the dissected angle into parts that are proportionate to the adjacent sides.
Note that the angle that has been dissected here is ∠CBD. Thus,
=
See the link below for more about Angle Bisector Theorem of the Triangle: