The type of sampling used in this scenario is "simple random sampling." In other words, the type of sampling used in this scenario is simple random sampling because each contestant's name has an equal chance of being selected from the bag.
Simple random sampling is a method where each member of the population has an equal chance of being selected. In this case, all the contestant names are written on separate cards, and three names are picked from the bag. Since each card has an equal probability of being selected, this represents simple random sampling.
Other types of sampling, such as stratified sampling or cluster sampling, involve dividing the population into groups or clusters and selecting samples from those groups. However, since the scenario doesn't mention any specific grouping or clustering of the contestants, simple random sampling is the most appropriate classification.
Therefore, the type of sampling used in this scenario is simple random sampling because each contestant's name has an equal chance of being selected from the bag.
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B. 70.7 centimeters
C. 6,361.7 centimeters
D. 141.4 centimeters
Since 23% of his family’sannual health insurance premium is covered by bob’s employer, so only 77% ofthe insurance bob’s needs to pay. So the total that bobs paid is equal to
$ 185.30 x 26 = $ 4,817.8. sothe total insurance is $ 4,817.8/0.77 =$ 6256.88
Bob’s family annual health insurance premium is $6,256.88
From the given question:
Firstly, we have to determine bob’s salary by multiplying each amount withheld from Bob’s paycheck.
Therefore we have:
26 x 185.30
= $4817.80
Recall that the Bob’s family annual health insurance premium covers by his employer = 23%, it then means bob will have to cover 77% of the health insurance.
Therefore, to calculate bob’s family annual health insurance premium, you have to divide bob’s salary by the amount pays by Bob, which is 77%
Therefore, you have:
4817.80 / 0.77 (77/100)
= $6,256.88
Therefore, Bob’s family annual health insurance premium is $6,256.88
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KEYWORDS:
2. TU, UV and TV are mid-segments
3. Definition of mid-segment
4. Division property of equality
6. SSS similarity theorem
Solution:
Step 1: Given
T is the midpoint of QR.
U is the midpoint of QS.
V is the midpoint of RS.
Step 2: Mid-segments connects midpoints of opposite sides.
TU, UV and TV are mid-segments.
Step 3: By definition of mid-segment
A triangle mid-segment is parallel to the third side of the triangle and is half of the length of the third side.
and
Step 4: By division property of equality
Divide first segment by RS, second segment by QR and third segment by SQ.
Step 5: By transitive property
Step 6: From the above steps, the sides of the triangle are congruent.
By SSS similarity theorem,
Hence proved.