asap a miniature american eskimo dog has a mean weight of 15 pounds with a standard deviation of 2 pounds. assuming the weights of miniature eskimo dogs are normally distributed, what range of weights would 68% of the dogs have?
approximately 13–17 pounds
approximately 14–16 pounds
approximately 11–19 pounds
approximately 9–21 pounds

First Option

Approximately 13–17 pounds

Step-by-step explanation:

We know that the mean weight of dogs is:

The standard deviation is:

We are looking for a Z score for which it is met that:

According to the empirical rule, for a standard normal distribution it is satisfied that 68% of the data is in a range of one standard deviation above the mean and one standard deviation below the mean. This means that:

Then

Therefore

the number of the people going.

step-by-step explanation:

the cost to buy one movie ticket is $7. if the total cost for the movie is a function of how many people go, then the input is : the number of the people going.

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).