Answer: We are given:
We need to find the z scores for the following vacation expense amounts:
$197, $277, $310
We know that z score formula is:
When 
, the z score is:
When 
, the z score is:
When 
, the z score is:
Therefore, the z scores for the vacation expense amounts $197 per day, $277 per day, and $310 per day are -0.83, 0.5 and 1.05 respectively
The interest rate is calculated semiannually which means twice a year so you do 2.4/2 which equals 1.2 so the answer is D
Step 1
<u>Find the measure of angle x</u>
we know that
If ray NP bisects <MNQ
then
m<MNQ=m<PNM+m<PNQ ------> equation A
and
m<PNM=m<PNQ -------> equation B
we have that
m<MNQ=(8x+12)°
m<PNQ=78°
so
substitute in equation A
(8x+12)=78+78-------> 8x+12=156------> 8x=156-12
8x=144------> x=18°
Step 2
<u>Find the measure of angle y</u>
we have
m<PNM=(3y-9)°
m<PNM=78°
so
3y-9=78------> 3y=87------> y=29°
therefore
<u>the answer is</u>
the measure of x is 18° and the measure of y is 29°
Difference in the number of miles Nathan flew between the first and second parts of his trip is 980 miles
<em><u>Solution:</u></em>
Given that Nathan flew 3,547 miles from Canada to California during the first part of his trip
He flew 2,567 miles from California to Hawaii during the second part of his trip
Therefore,
first part of his trip = 3547 miles
second part of his trip = 2567 miles
Difference in the number of miles Nathan flew between the first and second parts of his trip is given as:
difference = first part of his trip - second part of his trip
difference = 3547 - 2567 = 980
Therefore, the difference in number is 980 miles
