Answer: C. Significant at 0.036
Step-by-step explanation:
Given:
Total samples selected Ns= 500
Airplanes that arrived on time Na = 482.
Airplanes that arrived late Nl = 500 - 482 = 18
Calculating the probability of an airplane arriving late:
P(L) = Nl/Ns
P(L) = 18/500
P(L) = 0.036
An event is deemed significant if its probability is equal to or less than 0.05.
As P(L) < 0.05
P(L) = Significant at 0.036
Given: AD ≅ BC and AD ∥ BC
Prove: ABCD is a parallelogram.
Statements Reasons
1. AD ≅ BC; AD ∥ BC 1. provided
2. ∠CAD and ∠ACB are alternate interior angles 2. definition of alternate interior angles
3. ∠CAD ≅ ∠ACB 3. congruence of alternate interior angles
4. AC ≅ AC 4. reflexive property
5. △CAD ≅ △ACB 5. SAS congruency theorem
6. AB ≅ CD 6. Congruent triangles have congruent corresponding parts (CPCTC)
7. ABCD is a parallelogram 7. theorem for sides of parallelograms
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Answer:
Robyn's model is logical, while Mark's is illogical.
Step-by-step explanation:
This question doesn't require calculations. What we need to do is analyze each model logically.
Mark's
Mark's representation indicates 20 instead of 2, which signifies that 200 is ten times greater than 20, making it nonsensical.
Robyn's
Robyn's representation displays 2, suggesting that 200 is 100 times greater than 2, which is not only accurate but also reasonable since 100 * 2 equals 200.
When the balloon touches the ground, a(t) will equal zero.
To calculate the time it takes to reach the ground, the equation can be set up as follows:
210 - 15t = 0
Solving this yields t = 210/15, equating to 14 minutes.
Answer:
40 * x - 600 = 0
Step-by-step explanation:
Initially, identify the variable (x) in the equation, representing the number of days it takes Leilah to review her flashcards. To study 600 out of her 2400 cards, having gone through 1800 already, we arrive at:
2400 - 1800 = 40 * x
rearranging leads to
40 * x - 600 = 0
This equation describes the situation above
