There are​ 15,958,866 adults in a region. If a polling organization randomly selects 1235 adults without​ replacement, are the selections independent or​ dependent? If the selections are​ dependent, can they be treated as independent for the purposes of​ calculations? Are the selections independent or​ dependent?

Answer:

constant

Step-by-step explanation:

in the expression 4x + 2,

2 is a constant which will remain the same through out the expression

Answer: Segment FE

Step-by-step explanation:

never intesects with segment BC

Answer:

Step-by-step explanation:

Let P(H) be the probability that he is accepted by Harvard

Let P(D) be the probability that he is accepted by Dartmouth

Let P(HnD) be the probability that he is accepted by Harvard and Dartmouth

Given data

P(H) = 0.3

P(D) = 0.5

P(DnH) = 0.2

To get the probability that he is accepted by Dartmouth if he is accepted by Harvard, can be gotten using the conditional probability formula.

P(D|H) = P(DnH)/P(H)

P(D|H) = 0.2/0.3

P(D|H) = 2/10/÷3/10

P(D|H) = 2/10×10/3

P(D|H) 2/3

b) The two events are independent if the occurrence of an event does not affect the other occurring. For the two events to be independent then;

P(DnH) = P(D)P(H)

Given P(D) = 0.5 and P(H) = 0.3

P(D)P(H) = 0.5 × 0.3

P(D)P(H) = 0.15

And since P(DnH) = 0.2, hence P(DnH) ≠ P(D)P(H)

This means that the event "accepted at Harvard" IS NOT independent of the event "accepted at Dartmouth" since the two values are not equal.

Answer:

15 and 20

Step-by-step explanation:

When dividing 88 by 5 we wil have;

88/5

= 17 3/5

= 17 + 0.6

=  17.6

So we are to find the two numbers that 17.6 falls in between

From the given option 17.6 falls between 15 and 20. Hence the required numbers are 15 and 20

x = 15

since the figures are similar then the ratios of corresponding sides are equal

= ( cross- multiply )

8x = 6 × 20 = 120 ( divide both sides by 8 )

x = 15