A survey showed that 81% of adults need correction (eyeglasses, contacts, surgery, etc.) for their eyesight. If 11 adults are randomly selected, find the probability that no more than 1 of them need correction for their eyesight. Is 1 a significantly low number of adults requiring eyesight correction?

The probability that no more than 1 of the 11 adults require eyesight correction is

5.579 * or  0.00005579 %

Step-by-step explanation:

In this question, you select 11 random adults, so the order is not important and we should use combination instead of permutation. There are two different probability here

A= chance that the adults need correction= 0.81

B= chance that the adult doesn't need correction = 0.19

The case that can fulfill the condition of no more than 1 of 11 adults need correction is:

1. 0 adult need correction = 0C11 *

2. 1 adult need correction = 1C11 * *

Then the probability will be:

0C11 * +1C11 * * =

 *     +     * *0.81 =

5.579 * = 0.00005579 %

The threshold for a significant value that widely used is 5% and the chance is lower than 5%, so no more than 1 adult need correction is a significantly low number of adults requiring eyesight correction?

for ex: the reciprocal of 3/4 is 4/3. it is the opposite.

reciprocal definition:

a mathematical expression or function so related to another that their product is one; the quantity obtained by dividing the number one by a given quantity.

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).