The austrainian sheep dog is a breed renowned for its intelligence and work ethic. it is estimated that 45% of adult Australian sheep dogs weigh 65 pounds or more. a sample of 15 adult dogs is studied. what is the standard deviation of the number of dogs who weigh 65 ils or more

The standard deviation of the number of dogs who weigh 65 pounds or more is 1.93.

Step-by-step explanation:

For each dogs, there are only two possible outcomes. Either they weigh less than 65 pounds, or they weight at least 65 pounds. The probability of a dog weighing more than 65 pounds is independent of other dogs. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The standard deviation of the binomial distribution is:

It is estimated that 45% of adult Australian sheep dogs weigh 65 pounds or more.

This means that

Sample of 15 adult dogs is studied.

This means that

What is the standard deviation of the number of dogs who weigh 65 pounds or more

The standard deviation of the number of dogs who weigh 65 pounds or more is 1.93.

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!

4+4+2x

or

2x+8

step-by-step explanation: