What is the value of x to the nearest tenth?

x=6*sqrt(5)

Step-by-step explanation:

We use Pythagoras' theorem:

x^2 =6^2+(24/2)^2

x^2 =6^2+12^2

x^2 =36+144

x^2=180

x=sqrt(180)

x=sqrt(9*4*5)

x=3*2*sqrt(5)

x=6*sqrt(5)

c is the answer

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;