The two-way table shows the number of hours students studied and whether they studied with music.
1 answer:
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Answer:
Since P(male)xP(fail) = 0.0549 and and P(male and fail) = 0.0773, the two results are different, so the events are not independent.
Step-by-step explanation:
Independent events:
Two events, A and B are independent, if:
Probability of male:
58 + 14 = 72 males out of 58 + 14 + 98 + 11 = 181
So
P(male) = 72/181 = 0.3978
Probability of failling:
14 + 11 = 25 students fail out of 181. So
P(fail) = 28/181 = 0.1381
Multiplitication of male and failling:
0.3978*0.1381 = 0.0549
Probability of being male and failing:
14 out of 181. So
14/181 = 0.0773
Different probabilities, so not independent.
Since P(male)xP(fail) = 0.0549 and and P(male and fail) = 0.0773, the two results are different, so the events are not independent.
Answer:
See below
Step-by-step explanation:
1. Standard notation
4.2 × 10⁻⁴ m
A negative exponent indicates
- A number between 0 and 1.
- That the decimal point is shifted that number of places to the left.
4.2 × 10⁻⁴ tells you that the decimal number is 4.2, with the decimal point moved four places to the left.
The number becomes 0.000 42 .
2. Metres to millimetres
3. Measurements agree?
Yes, because both measurements are the same as 0.42 m.
4. More appropriate measurement
Most measurements should be expressed as a number between 0.1 and 1000, because most people aren’t particularly good at visualizing larger or smaller numbers.
Justin's measurement of 0.42 mm is more appropriate than Amanda's measurement of 4.2 × 10⁻⁴ m.