3 years ago

Find the values of x and y in the diagram.

Mathematics

1 answer:

olchik [2.2K]3 years ago

5 0

Answer:

x = 3

y = 10

Step-by-step explanation:

In triangle KLN, measure of all angles are equal.

Therefore, it is an equilateral triangle.

All sides of an equilateral triangle are equal.

So,

y - 4 = 6

y = 6 + 4

y = 10

In triangle LMN, measures of angles M and N are equal, Therefore,

LM = LN

x + 3 = y - 4

x + 3 = 10 - 4

x + 3 = 6

x = 6 - 3

x = 3

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3 years ago

Membership in an elite organization requires a test score in the upper 30% range. If the mean is equal to 115 and the standard d

Olenka [21]

Answer:

Lowest acceptable score = 121.3

Step-by-step explanation:

Mean test score (μ) = 115

Standard deviation (σ) = 12

The z-score for any given test score 'X' is defined as:

$z=\frac{X-\mu}{\sigma}$

In this situation, the organization is looking for people who scored in the upper 30% range, that is, people at or above the 70-th percentile of the normally distributed scores. At the 70-th percentile, the corresponding z-score is 0.525 (obtained from a z-score table). The minimum score, X, that would enable a candidate to apply for membership is:

$0.525=\frac{X-115}{12}\\X=121.3$