Aveterinarian's office recorded one particular week that they had 50 patients. the following table shows the recorded number of dogs. monday tuesday wednesday thursday friday 7 4 5 5 2 the formula for standard error is given below, where represents the sample proportion, and n is the total number of elements in the sample. use the given data to complete the table below. percentage of patients that were dogs standard error margin of error 90% confidence interval margin of error 95% confidence interval ©

1. 46% patients are dogs.

2. standard error is 0.726636085.

3. margin of error 90% confidence interval is 1.19531636.

4. margin of error 95% confidence interval is 1.424206727.

step-by-step explanation:

total number of patients is 50.

total number of dogs is

1.   percentage of patients that were dogs

2.   the formula of standard deviation is

    the formula of standard error is

    where, σ is standard deviation and n is sample size.

3.   the formula of marginal error is

    where, z is the value for desired level of confidence.

    the value of z at 90% confidence interval is 1.645.

4.   the value of z at 95% confidence interval is 1.96.

something that characterises a right triangle is the fact that we may use pythagoras' theorem to find any one of its sides given that we have the length of the other two sides. here, we have the length of the hypotenuse, √(87) yd, and one other side, √(23) yd, thus we can easily find the length of the remaining side using pythagoras' theorem as defined below:

c^2 = a^2 + b^2, where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

thus, given that c = √(87) and a = √(23), we may substitute these into the formula we defined above to get:

c^2 = a^2 + b^2

(√87)^2 = (√23)^2 + b^2 (substitute c = √87 and a = √23 into the equation)

87 = 23 + b^2 (evaluate (√87)^2 = 87 and (√23)^2 = 23 - remember that the square root of a number, squared will equal that very same number)

64 = b^2 (subtract 23 from both sides)

√64 = b (take the square root of both sides)

8 = b (evaluate √64 = 8)

therefor, the length of the unknown leg in the right triangle is 8 yd (first answer).