Special triangles please help part 5. Please show work

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  3. 4 N

  4. 3√2 N

Step-by-step explanation:

Again, these are "special triangles," so you already know the ratios of the side lengths.

3. The given sides have the ratio 2 : 3.464 = 1 : 1.732 = 1 : √3, so the remaining side finishes the special triangle ratios 1 : √3 : 2 = 2 : 3.464 : 4.

  T = 4 N

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4. The given sides have the ratio 3 : 3 = 1 : 1, so the remaining side finishes the special triangle ratios 1 : 1 : √2 = 3 : 3 : 3√2.

  T = 3√2 N

1,918

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;