Why is it important to check the 10% condition before calculating probabilities involving x –? select one:

a) to reduce the variability of the sampling distribution of x –.
b) to ensure that the distribution of x – is approximately normal.
c) to ensure that we can generalize the results to a larger population.
d) to ensure that x – will be an unbiased estimator of m.
e) to ensure that the observations in the sample are close to independent.

there is no question content here, but you for the free points! : d

it is contrapositive

i could not see the question too well so check yourself again too . this is because i want you to get it correct.

b. 1.25 hr

step-by-step explanation:

if you have a constant speed of 60 mph, then you have a ratio between 60 mi. to 1 hr. dividing both sides by 60 we get the ratio

1 mi. to

then mult. both sides by 75 we get the ratio

75 mi. to

simplifying we get

75 mi. to

or 1.25 hr.

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.