What is the converse and the truth value of the converse of the following conditional? If an angle is a right angle, then it’s measure is 90

"If an angle has measure 90°, then it is a right angle" , True

Step-by-step explanation:

We have the following:

"If an angle is a right angle, then it’s measure is 90"

The idea is to write the opposite of the previous conditional statement.

We know that if the statement is "If p, then q", then its inverse will be "If q, then p".

So the opposite of our given statement will be :

"If an angle has measure 90°, then it is a right angle"

And this statement is true since every angle that measures 90 ° is considered a right angle.

n=9

step-by-step explanation:

7 times a number = 7n

decreased by 13 = 7n-13

same as is =

5 times the number = 5n

increased by 5 = 5n+5

7n-13 = 5n+5

2n=18

n=9

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;