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zhenek [66]
4 years ago
14

Please help

Mathematics
2 answers:
Mrrafil [7]4 years ago
4 0

Answer:

2.1

Step-by-step explanation:

y/sinY = z/sinZ

y/sin(15) = 8/sin(94)

y = sin(15) × 8/sin(94)

y = 2.075608439

Solnce55 [7]4 years ago
3 0

Answer: y = 2.1

Step-by-step explanation:

Considering the given triangle XYZ, to determine side y, we would apply the sine rule. It is expressed as

a/SinA = b/SinB = c/SinC

Where a, b and c are the length of each side of the triangle and angle A, Angle B and angle C are the corresponding angles of the triangle. Likening it to the given triangle, the expression becomes

x/SinX = y/SinY = z/SinZ

Therefore

y/Sin 15 = 8/Sin 94

Cross multiplying, it becomes

ySin94 = 8Sin15

0.998y = 8 × 0.259

0.998y = 2.072

y = 2.072/0.998

y = 2.1

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IgorLugansk [536]

Using the normal distribution, the probability that a worker selected at random makes between $500 and $550 is: 2.15%.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean mu and standard deviation sigma is given by:

Z = (X - mu)/sigma

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given as follows:

mu = 400, sigma = 50

The probability is the <u>p-value of Z when X = 550 subtracted by the p-value of Z when X = 500</u>, hence:

X = 550:

Z = (X - mu)/sigma

Z = (550 - 400)/50

Z = 3

Z = 3 has a p-value of 0.9987.

X = 500:

Z = (X - mu)/sigma

Z = (500 - 400)/50

Z = 2

Z = 2 has a p-value of 0.9772.

0.9987 - 0.9772 = 0.0215 = 2.15% probability.

More can be learned about the normal distribution at brainly.com/question/15181104

#SPJ1

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