50 POINTS!! Are the sums rational or irrational?

rational

irrational

  irrational

 rational

rational

irrational  

Step-by-step explanation:

sqrt(16) +  (-21/5) = 4 + (-21/5) = 4+(-4 1/5)= rational both can be written as fractions

pi +24  irrational  pi is irrational

sqrt(8) + pi = 2 sqrt(2) + pi   irrational because  both are irrational

sqrt(4) +5 = 2+5 = 7  rational

sqrt(36) + cuberoot(27) =6+3 = 9  rational

3/4+ sqrt(27) = 3/4 + 3sqrt(3) = irrational   sqrt(3) is irrational  

rational

irrational

irrational

rational

rational

irrational  

Step-by-step explanation:

√16 = 4 is rational.

-21/5 is rational it can be expressed as a fraction.

is irrational.

√4 = 2 is rational.

5 is a rational number.

√36 = 6 is rational.

∛27 = 3 is rational.

3/4 is rational.

√27 is irrational.

step-by-step explanation:

my butt

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;