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27

Step-by-step explanation:

You add 63 and 90 (90 being the right angle) and then subtract that from 180 which is the sum of all three angles and you get 27.

D. 27 degrees

Step-by-step explanation:

We know that one angle is 63. Then there is another angle that is 90 because there is a square. We know that every single triangle has to be equal to 180. Therefore, we have to subtract 63 and 90 from 180 to get what x is. 180-63-90 is equal to 180-153. This is equal to 27. Therefore, x is equal to 27 degrees.

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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;

-2x-4

step-by-step explanation: