If the suspect is found guilty, then he will go to prison. which of the following is a logically equivalent statement to the conditional statement above?
a) if the suspect does not go to prison, then he was not found guilty.
b) if the suspect goes to prison, then he was found guilty.
c)if the suspect is not found guilty, then he will not go to prison.
d) if the suspect is not found guilty, then he will go to prison.

a) If the suspect does not go to prison, then he was not found guilty.

Step-by-step explanation:

If the suspect is found guilty, then he will go to prison.

This is a straight conditional statement.

So, its logically equivalent statement will be - If the suspect does not go to prison, then he was not found guilty.

This is because, this is also a straight conditional statement but with negation.

step-by-step explanation:

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;