Check the picture below.
How many pounds are in an ounce
2 answers:
You might be interested in
Answer:
a) The proportion of states would you expect to have more than 65% of their traffic fatalities from drunk driving is 0.59518.
b) The 25th percentile of this distribution is a 0.5231 proportion of deaths due to drunk driving.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by
After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the percentile of this measure.
In this problem, we have that:
Mean 0.569 and standard deviation 0.068. So
a. What proportion of states would you expect to have more than 65% of their traffic fatali- ties from drunk driving?
This is the value of X when Z has a pvalue of 0.65.
Z has a pvalue of 0.65 between and
. So, we use
The proportion of states would you expect to have more than 65% of their traffic fatalities from drunk driving is 0.59518.
b. What proportion of deaths due to drunk driving would you expect to be at the 25th percentile of this distribution?
This is the value of X when Z has a pvalue of 0.25.
Z has a pvalue of 0.65 between and
. So, we use
The 25th percentile of this distribution is a 0.5231 proportion of deaths due to drunk driving.
ANSWER
See attachment
EXPLANATION
The given function is
y=3x+2
When x=-1,
y=3(-1)+2=-1
when x=0, y=3(0)+2=2
when x=1, y=3(1)+2=5
We plot the points (-1,-1), (0,2) and (1,5) and draw a straight line through them to obtain the graph as shown in the attachment.
2 + d = 2 - 3(d- 5) - 2
First, cancel 2 on both sides. / Your problem should look like:
Second, expand. / Your problem should look like:
Third, simplify -3d + 15 - 2 to get -3d + 13. / Your problem should look like:
Fourth, add 3d to both sides. / Your problem should look like:
Fifth, add d + 3d to get 4d. / Your problem should look like:
Sixth, divide both sides by 4. / Your problem should look like:
Answer as fraction:
Answer as decimal:
First, cancel 2 on both sides. / Your problem should look like:
Second, expand. / Your problem should look like:
Third, simplify -3d + 15 - 2 to get -3d + 13. / Your problem should look like:
Fourth, add 3d to both sides. / Your problem should look like:
Fifth, add d + 3d to get 4d. / Your problem should look like:
Sixth, divide both sides by 4. / Your problem should look like:
Answer as fraction:
Answer as decimal: