Answer:
Test statistic |Z| = 0.1040 < 1.96 at 0.05 level of significance
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that a report on the nightly news broadcast stated that 10 out of 108 households with pet dogs were burglarized
First proportion
Given that a report on the nightly news broadcast stated that 20 out of 208 households without pet dogs were burglarized
Second proportion
where
P = 0.09486
Q = 1 - P = 1 - 0.09486 = 0.90514
<u><em>Step(ii):-</em></u>
Test statistic
Z = -0.1040
|Z| = |-0.1040|
|Z| = 0.1040
Critical value Z = 1.96 at 0.05 level of significance
Answer:
a) add a dummy stroke to make the problem as an assignment problem of adding 5 strokes to 5 swimmers. see first attachment.
b) applying the Hungarian method.
4.8 0 0.9 4.1 2.5
10.3 0 9.1 1.6 8.7
4.8 0 10.4 1.9 5.1
2.8 0 3.2 2.1 4.7
0 0 0 0 0
Deduct the smallest element in each column from the other elements of the column.
2 0 0 2.5 0
7.5 0 8.2 0 6.2
2 0 9.5 0.3 2.6
0 0 2.3 0.5 2.2
0 0 0 0 0
Which implies:
2 8.2 2.5 6.2
7.5 9.5 0.3 2.6
2 2.3 0.5 2.2
33.8 + 34.7 + 28.5 + 29.2 = 126.2
David = Back Stroke
tony = Breast Stroke
Chris = Butterfly
Carl = Free Style
Answer:
Volume = 1 πr2h3= 1×π×122×73= 336π= 1055.5751316062 inches3
The probability is 3/6 because 3 out of the 6 sides are odd numbers.
1 worker earns 8/hour for 40 hrs.8 times 40=320 dollars in amount for 1st worker.the 2nd worker has the same 8 hrs for 40 hours therefore the same amounts.320+320=640
as a percentage:640 divided by 2000=0.32
0.32 times 100
=32 percent for both workers.16 percent for only 1 worker<span />