A packet of garden seeds contains 250 seeds. The information printed on the packet indicates that the germination rate for this variety of seed is 96%. a. What proportion of these seeds should we expect to germinate? b. What’s the standard deviation of germination rates for these packets?

Expectation=240

standard deviation=3.098

Step-by-step explanation:

This is a binomial probability function with n=250 and probability of success is 96%

-The expected value is calculated as:

Hence, the expected germination is 240 seeds

b. From a above, we have the value of p=0.96 and n=250.

The standard deviation of germination is therefore calculated using the formula:

Hence, the standard deviation of germination is 3.098

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.