Answer:
1. Not Independent
2. Independent
3. Not Independent
4. Independent
Step-by-step explanation:
Independent: An event is independent if the outcome of one event doesn't effect the outcome of the other event.
Not independent : An event is Not independent if the outcome of one event effect the outcome of other event.
1. A jar contains twenty coins. Two coins are picked randomly without replacement.
Not Independent because if coins are not replaced the outcome of next event will be effected.
2. A coin is flipped three times.
Independent because when a coin is flipped once its outcome doesn't effect the outcome of the coin flipped again
3. A bag contains 5 red balls and 3 green balls. A red ball is chosen followed by a green ball without replacement.
Not Independent because if balls are not replaced the outcome of next event will be effected.
4. A spinner contains 3 equal sectors labeled A, B and C. The spinner is spun twice.
Independent because when the spinner is spuned once its outcome doesn't effect the outcome of the spinner spun again
9514 1404 393
Answer:
x ≈ 8.0
y ≈ 6.0
Step-by-step explanation:
For x, the relevant trig relation is ..
Sin = Opposite/Hypotenuse
sin(53°) = x/10
x = 10·sin(53°)
x ≈ 8.0
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The value of y can be found in the same way using the 37° angle, or the cosine function can be used.
y = 10·sin(37°) ≈ 6.0
y = 10·cos(53°) ≈ 6.0
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<em>Additional comment</em>
This question only asks for the value of x. We expect there may be some versions of this question in which the value of y is requested, or in which the positions of x and y are switched. Please compare your question carefully before you copy the answer.
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You may notice this is a 3-4-5 triangle with a scale factor of 2.
1). 140 tomatoes
7/5= 1.4
1.4(100)=140
2). 41 people
58/1.4= 41.4
X + 3x + 4x = 56
8x = 56
x = 7
The shortest piece is 7 inches
The middle piece is 7*3 = 21 inches.
The longest piece is 4*7 = 28 inches
Check
7 + 21 + 28 = 56 It does check and the lengths are correct.
