A candidate vaccine intended to treat a bacterial disease is undergoing its first stage of clinical trials. The first phase of trials is being conducted on a small panel of 150 volunteers. In follow-up interviews with each participant, 57 people reported experiencing mild gastrointestinal distress after receiving the drug. 39 people reported a mild allergic reaction in the form of a rash. 36 people reported experiencing both of these symptoms. a. What is the probability that a patient who receives this vaccine will experience at least one of these two symptoms?

A New York Times article titled For Runners, Soft Ground Can Be Hard on the Body considered two perspectives on whether runners should stick to hard surfaces or soft surfaces following an injury. One position supported running on soft surfaces to relieve joints that were in recovery from injury. The second position supported running on hard surfaces since soft surfaces can be uneven, which may make worse those injuries a soft surface was intended to help. Suppose we are given sufficient funds to run an experiment to study this topic. With no studies to support either position, which of the following hypotheses would be appropriate? The first position is more sensible, so this should be a one-sided test. In this case, we should form the alternative hypothesis around the second position. The second position makes the more sense, so this should be a one-sided test. In this case, we should form the alternative hypothesis around the first position. Because we would be interested in any…

whats the coordinates of the image of the point (-2,5) after a dilation D4

Differentiate.

find the Straight Linr distance between the school and the fire hall

Describe all points that are 3 units away from the x-axis. What geometric structure do these points create?

Snape made a deposit of $495 into an account that pays 3% interest compounded annually. How much money is in the bank after 3 years?

What two months does the price land on the slanted midline?  Not between which two months.  Thank you.

please help answer these questions I made a pdf because these are practice questions.

Please provide a source code that can be copied and ran into R programming.  The code should be somewhat like the example that is pictured below.