Answer:
Step-by-step explanation:
Remark
The problem asks you to identify the triangles. They are similar. The reason they are similar is by AA. That means that 2 of the angles are identified as equal in each triangle.
Proof
Both triangles contain a right angle....................That's given.
The mirror has an interesting property. It is stated as the angle of incidence = the angle of reflection. That property is marked by the lines hitting the mirror towards your right. If you do not know what incidence and reflection mean, just notice that the angles are marked as equal and call it given.
The base angles are equal ....................................Given
Here it is more formally
B and D are right angles ..................... Given
<AMB = <CMD Property of a mirror
Triangle AMB similar Triangle CMD AA in 1 triangle = AA in the other.
9514 1404 393
Answer:
d > -4
Step-by-step explanation:
Divide both sides of the inequality by -6. That requires the sense of the comparison to be reversed.
(-6d)/(-6) > (24)/(-6)
d > -4
Answer:
a) P(X = 5) = 0.04397
b) The probability that X exceeds its mean by more than 1 standard deviation = P(z > 1) = 0.159
Step-by-step explanation:
a) This question can be solved using binomial distribution function formula
Using Binomial,
P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ
n = total number of sample spaces = number of refrigerators to be examined before getting 5 refrigerators with defective compressors = 6
x = Number of successes required = 5
p = probability of success = probability of examining a refrigerator with defective compressor out of the total 12 = 5/12 = 0.4167
q = probability of failure = probability of examining a refrigerator without defective compressor out of the total 12 = 1 - (5/12) = 7/12 = 0.5833
P(X = 5) = ⁶C₅ (0.4167)⁵ (0.5833)⁶⁻⁵
P(X = 5) = ⁶C₅ (0.4167)⁵ (0.5833) = 1(0.01256)(0.5833) = 0.04397
P(X = 5) = 0.04397
b) The probability that X exceeds its mean by more than 1 standard deviation represents Z-score of z > 1
Using the normal distribution tables,
P(z > 1) = 1 - P(z ≤ 1) = 1 - 0.841 = 0.159
First, you need to get rid of the parenthesis, so you need to distribute:
12(–1.4m + 0.4) = m + 0.2
-16.8m + 4.8 = m +0.2
Then subtract both sides by m:
-16.8m - m + 4.8 = m +0.2 - m
-17.8m + 4.8 = 0.2
Subtract both sides by 4.8:
-17.8m + 4.8 - 4.8 = 0.2 - 4.8
-17.8m = -4.6
Now, divide both sides by -17.8:
-17.8m/-17.8 = -4.6/-17.8
m ≈ 0.258
Easy. its d, because if u put -7 and {[\72283], it will obviously exclude the factor of 12%[{9293}].
