Aresearcher is planning to construct a one-sample ‑confidence interval for a population mean μ. select the statements that would lead to a smaller margin of error, assuming the other factors remain the same. the researcher decreases the sample size. the population standard deviation turns out to be lower than expected. the researcher raises the confidence level. the researcher lowers the confidence level. the population standard deviation turns out to be higher than expected. the researcher increases the sample size.

the balance is found at the link

step-by-step explanation:

hello :

70y^8 + 30y^6 = 2 ( 35 y^8 + 15y^6)

the lenght is : 35 y^8

the width is : 15y^6

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.