Answer:
x + y = 3 (1)
55x + 40y = 135 (2)
Step-by-step explanation:
Since x to represent the number of hours driving on a highway and y to represent the number of hours driving on other roads and the total time for driving is 3 hours,
x + y = 3 (1)
Also, You drive 55 miles per hour on highways and 40 miles per hour on the rest of the roads, the distance moved on highways is 55x and the distance moved on the rest of the roads is 40y (since distance = speed × time).
Since the total distance moved is 135 miles, we have
55x + 40y = 135 (2)
So, the system of linear equations that represent the situation is
x + y = 3 (1)
55x + 40y = 135 (2)
Answer:
The final integration in the given limits will be 89.876
The value of z score for the history class test of Opal’s test score is negative one (-1).
<h3>What is normally distributed data?</h3>
Normally distributed data is the distribution of probability which is symmetric about the mean.
The mean of the data is the average value of the given data. The standard deviation of the data is the half of the difference of the highest value and mean of the data set.
The z score for the normal distributed data can be given as,

The mean value of the scores of history class is,

The standard deviation value of the scores of history class is,

Here, the test score of the Opal’s is 72. Thus the z score for her test score can be given as,

Hence, the value of z score for the history class test of Opal’s test score is negative one (-1).
Learn more about the normally distributed data here;
brainly.com/question/6587992
Renaming fractions is also called "borrowing" - it's because you borrow fraction parts from the wholes of a mixed number.
this is necessary when, if you subtract, the subtracted fraction part is bigger than the fraction part of the number from which you subtract:
so here 3/4 is bigger than 1/4 and we need to borrow
if we wanted to subtract 3/4 from 4 1/4 then you're stuck: how do you subtract 3/4 from 1/4? you can't, but you can change 4 1/4 into 3 5/4 !!!! it's the same number, you just borrowed from the whole unmbers and put into the fraction!
now we can subtract: 3 5/4-3/4 is 3 2/4