Calculate the mean and standard deviation of a normal distribution question horace was told that his math test score was 3 standard deviations above the mean. if test scores were approximate normal with = 81 and o = 6, what was horace's score? do not include units in your answer. for example, if you fo that the score was 81 points, you would enter 81. provide your answer below: feedback more instruction coment attribution • previous

Answer is 99

Step-by-step explanation:

Given that Horace was told that his math test score was 3 standard deviations above the mean.

If X is the test score then X is approximate normal with = 81 and o = 6

Since Horace is 3 std dev above the mean we have to add 3 times std dev to the mean.

Hence from this we can say Horace score = 3 times std dev +mean

=

Horace score is 99

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).

3

step-by-step explanation:

because where the point where the 2 lines intersect is (3,-1) the x value is 3