The number of pizzas consumed per month by university students is normally distributed with a mean of 11 and a standard deviation of 3. a. what proportion of students consume more than 12 pizzas per month? probability = b. what is the probability that in a random sample of size 11, a total of more than 132 pizzas are consumed? (hint: what is the mean number of pizzas consumed by the sample of 11 students? ) probability =

Step-by-step explanation:

Given that X, the number of pizzas consumed per month by university students is normally distributed with a mean of 11 and a standard deviation of 3.

A) P(X>3) = P(Z>-2.33) = 0.9901

B) n=11 hence std error =

Each student eats more than 132/11=12 pizzas

P(x>12) = P(Z>3) = 0.5-0.4987=0.0013

step-by-step explanation:

a rhombus is a parallelogram enjoying his symmetry.

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).