Answer:
0.2755
Step-by-step explanation:
We intend to make use of the normal approximation to the binomial distribution.
First we'll check to see if that approximation is applicable.
For p=10% and sample size n = 500, we have ...
pn = 0.10(500) = 50
This value is greater than 5, so the approximation is valid.
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The mean of the distribution we'll use as a model is ...
µ = p·n = 0.10(500)
µ = 50
The standard deviation for our model is ...
σ = √((1-p)µ) = √(0.9·50) = √45
σ ≈ 6.708204
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A continuity correction can be applied to better approximate the binomial distribution. We want p(t ≤ 9.1%) = p(t ≤ 45.5). For our lookup, we will add 0.5 to this limit, and find p(t ≤ 46).
The attached calculator shows the probability of fewer than 45.5 t's in the sample is about 0.2755.
Given:
Different types of congruence postulates.
To find:
Which cannot be used to prove that two triangles are congruent?
Solution:
According to AAS congruence postulate, if two angles and a non including sides of two triangles are congruent, then triangles are congruent.
According to SAS congruence postulate, if two sides and an including angle of two triangles are congruent, then triangles are congruent.
According to SSS congruence postulate, if all three sides of two triangles are congruent, then triangles are congruent.
AAA states that all three angles of two triangles are equal and no information about sides.
So, it is a similarity postulate not congruent postulate. According to AAA two triangles are similar not congruent.
Therefore, the correct option is D.
Answer:
A) 15
Step-by-step explanation:
PEMDAS
20 / 4 + (6 * 2) - 2
take out the parenthesis which is P
20 / 4 + 12 - 2
there is no E
the go the rest of the way MDAS
5 + 12 - 2
17 - 2
15
3100 divided by 775 equal 4 hours
