Tv screens are measured on the diagonal. if we have a tv-cabinet that is 64 inches long and 52 inches high, how large a tv could we put in the space (leave 2-inches on all sides for the edging of the tv)

76.84 inches.

Step-by-step explanation:

We have been given that a TV -cabinet is 64 inches long and 52 inches high.

After leaving 2 inches on all sides, our new dimensions would be:

Length:

Height:

Now, we need to find diagonal of the television using Pythagoras theorem.

Take square root of both sides:

Therefore, we could put a 76.84 inches TV.

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;

21

jk it's 20

step-by-step explanation: