Answer:
1/15 of their time is free time.
Step-by-step explanation:
To find the answer to this 2-step problem, we have to add all the fractions up, then find how much of that time is not part of the fraction.
So to add all the fractions, you have the equation:
1/4 + 3/5 + 1/12
The first thing we have to do is to find a common denominator.
4, 5, and 12 are each able to multiply into 60.
So we can make the equation now with a common denominator.
15/60+36/60+5/60=56/60.
We now can simplfy this.
56/60=14/15
Now that we know how long it is to do all the other activities, it tells us that the rest of the time is free time. To find the rest of the time, we have to do:
1-14/15=1/15
So 1/15 of their time is free time.
<h2>
Answer with explanation:</h2>
Let
be the population mean.
By observing the given information, we have :-

Since the alternative hypotheses is left tailed so the test is a right-tailed test.
We assume that the time spend by students per day is normally distributed.
Given : Sample size : n=121 , since n>30 so we use z-test.
Sample mean : 
Standard deviation : 
Test statistic for population mean :-


Critical value (one-tailed) corresponds to the given significance level :-

Since the observed value of z (-7.79) is less than the critical value (1.2816) , so we do not reject the null hypothesis.
Hence, we conclude that we have enough evidence to accept that the college students spend an average of 4 hours or less studying per day.
Answer:
In the equation y = mx + b for a straight line, the. number b is called the y-intercept of the line.
Step-by-step explanation:
Answer:
17
Step-by-step explanation:
angle one and angle three are equal to each other
so if you set the equations equal to each other
(4x+2)=( 5x-15)
move the 4x the right by subtracting it giving you 1x
then add 15 to 2 giving you 17
17=1x
Find the quotient: (25c^4 + 20c^3) ÷ 5c5c^3+4c^2.