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Paraphin [41]
3 years ago
11

Use △XYZ, in which ∠X is a right angle and tanY=815.

Mathematics
1 answer:
Neporo4naja [7]3 years ago
8 0

Answer:

8/17

Step-by-step explanation:

The correct and complete question is:

<em>Use △XYZ, in which ∠X is a right angle and tanY=8/15. What is the ratio for sinY?</em>

From definition:

tan(Y) = opposite/adjacent

From the graph and the question:

tan(Y) = XZ/XY = 8/15

Then:

XZ = 8 and XY = 15. Using pytaghorean theorem:

XZ² + XY² = YZ²

8² + 15² = YZ²

√289 = YZ

17 = YZ

From definition:

sin(Y) = opposite/hypotenuse

From the graph:

sin(Y) = XZ/YZ

sin(Y)= 8/17

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Answer:

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Step-by-step explanation:

It's give in the question,

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2 years ago
Based on the model ​N(11541154​,8686​) describing steer​ weights, what are the cutoff values for ​a) the highest​ 10% of the​ we
yaroslaw [1]

Answer:

a) x = 1225.68

b) x = 1081.76

c)  1109.28 < x < 1198.72

Step-by-step explanation:

Given:

- Th random variable X for steer weight follows a normal distribution:

                                    X~ N( 1154 , 86 )

Find:

a) the highest​ 10% of the​ weights? ​

b) the lowest​ 20% of the​ weights? ​

c) the middle​ 40% of the​ weights? ​

Solution:

a)

We will compute the corresponding Z-value for highest cut off 10%:

                                   Z @ 0.10 = 1.28

                                    Z = (x-u) / sd

Where,

u: Mean of the distribution.

s.d: Standard deviation of the distribution.

                                   1.28 = (x - 1154) / 86

                                      x = 1.28*86 + 1154

                                      x = 1225.68

b)

We will compute the corresponding Z-value for lowest cut off 20%:

                                   -Z @ 0.20 = -0.84

                                    Z = (x-u) / sd

                                   -0.84 = (x - 1154) / 86

                                      x = -0.84*86 + 1154

                                      x = 1081.76

c)

We will compute the corresponding Z-value for middle cut off 40%:

                                    Z @ 0.3 = -0.52

                                    Z @ 0.7 = 0.52

                                    [email protected] < x < [email protected]

                       -.52*86 + 1154 < x < 0.52*86 + 1154

                                  1109.28 < x < 1198.72

7 0
3 years ago
Determine the value of y, if x is -2.<br> y = x² +8
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Answer:

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=4+8

=12

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2 years ago
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