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alex41 [277]
3 years ago
10

Amanda wants to examine the eating habits of 100 random students at lunch to determine how many students eat in the cafeteria

Mathematics
1 answer:
Gnoma [55]3 years ago
6 0

Answer:

well she can count up the average amount of tables, and the average amount of students in the school, later determine how many kids sit at the tables, for example, if there's five tables, and in each table there are five students, round those up and you have 25 students, only Amanda's answer would be much higher depending on the school and cafeteria

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Since there are two events happening simultaneously (windy and no sun), we can apply the concept of conditional probability here. P(A|B) = P(A∩B)/P(B) where it means that given B is happening, the probability that A is happening as well is the ratio of the chance for A and B to happen simultaneously over the chance of B to happen. For our case, this can be interpreted as P(A|B): it is the probability that it is windy (A) GIVEN that there is no sun (B) P(A∩B) : chance of wind and no sun P(B) : chance that there is no sun tomorrow The chance of P(A∩B) is already given as 20% or 0.20. Since there is 10% or 0.10 chance of sun, then chances of having no sun tomorrow is (1-0.10) = 0.90. Thus, we have P(A|B) = 0.2/0.9 ≈ 0.22 or 22%. So, answer is B: 22%<span>.</span>
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Which additional information could be used to prove that the triangles are congruent using AAS or ASA? Check all that apply.
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Consider the given triangles.

Given: \angle C \cong \angle Q

ASA congruence criterion states that if two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.

AAS congruence criterion states that if two angles and a non-included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.

Consider the first part:

1. In triangles ABC and QPT

If we take \angle B \cong \angle P , BC \cong PQ along with the given condition.

Then the triangles are congruent by ASA congruence criterion.

2. If we take \angle A \cong \angle T and AC= TQ=3.2 along with the given condition.

Then the triangles are congruent by ASA congruence criterion.

3. As,\angle C \cong \angle Q, \angle A \cong \angle T and \angle B \cong \angle P, so the triangles can not be congruent.

4. If we take \angle A \cong \angle T and BC \cong PQ along with the given condition.

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5. If we take AC=TQ=3.2 and CB=QP=3.2 along with the given condition, then the triangles are congruent but by SAS congruence criteria neither by ASA nor AAS congruence criterion.

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