The distance that Kirsten and Molly need to bike on their third day is obtained by subtracting the sum of the distances they have traveled after two days from the length of the entire route.
distance left = 156 miles - (64 miles + 45 miles)
= 47 miles
Thus, Kirsten and Molly need to bike 47 miles on their third day.
Answer:
The null hypothesis is
, in which x is the proportion tested.
The alternative hypothesis is 
Step-by-step explanation:
A recent article in a university newspaper claimed that the proportion of students who commute more than miles to school is no more than x.
This means that at the null hypothesis, we test if the proportion is of at most x, that is:

Suppose that we suspect otherwise and carry out a hypothesis test.
The opposite of at most x is more than x, so the alternative hypothesis is:

Answer:
y = 28 - x
Step-by-step explanation:
The variable x represents how many buttons Paula had before giving 28 away and the variable y represents how many buttons she has now.
Answer:
240 cents
Step-by-step explanation:
Given that,
cost of one lollipop = 65 cents
total amount Josie need to paid = 65 * 4 cents = 260 cents
amount Josie gave = $5
As we know
$1 = 100 cents
$5 = 100 * 5 cents
= 500 cents
number of cents Josie will get back
500 - 260
240 cents or $2.40
So, Josie will get 240 cents back