Darrell needs a ride to the airport. he is deciding between two options:

option a is a shuttle that charges a flat rate of $42.

option b is a cab that charges an initial fee of $4.50 plus an additional $1.25 for every mile traveled.

for what number of miles will option b cost less than option a? let m represent the number of miles.

m < 12

m < 30

m < 38

m < 9

What is [tex] {7}^{98 + \sqrt{4} } - 3 \times (64 \div 2 + 4 - 36) \times a = a + 36[/tex]?

Write the expression as a single natural logarithm. 2 in a - 4 in y

Formulate the indicated conclusion in nontechnical terms. be sure to address the original claim. the foundation chair for a hospital claims that the mean number of filled overnight beds is over 523, and she is therefore justified starting a funding campaign to add a wing to the hospital. assuming that a hypothesis test has been conducted and that the conclusion is failure to reject the null hypothesis, state the conclusion in nontechnical terms.