If a ∥ b and e ∥ f, what is the value of y? 87 88 91 92
2 answers:
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Answer:
17.32m ; 110°
Step-by-step explanation:
Distance between X and Z
To calculate the distance between X and Z
y^2 = x^2 + z^2 - (2xz)*cosY
x = 20, Z = 10
y^2 = 20^2 + 10^2 - (2*20*10)* cos60°
y^2 = 400 + 100 - (400)* 0.5
y^2 = 500 - 200
y^2 = 300
y = sqrt(300)
y = 17.32m
Bearing of Z from X:
Using cosine rule :
Cos X = (y^2 + z^2 - x^2) / 2yz
Cos X = (300 + 100 - 400) / (2 * 20 '*10)
Cos X = 0 / 400
Cos X = 0
X = cos^-1 (0)
X = 90°
Bearing of Z from X
= 20° + X
= 20° + 90°
= 110°
Answer:
The correct option is (c) 13.277.
Step-by-step explanation:
The observed data is:
Location Observed sales (units)
Northside 70
Pleasant Township 75
Southwick 70
I-90 50
Venice Avenue 35
TOTAL 300
The test statistic for the Goodness of fit test is:
For <em>k</em> independent samples this test statistic follows a Chi-square distribution with degrees of freedom (<em>k</em> - 1).
The sample size in this case is, <em>k</em> = 5.
The degrees of freedom is, (<em>k</em> - 1) = 4.
The level of significance is, <em>α</em> = 0.01.
The critical value of the test is:
**Use the Chi-square table.
Thus, the critical value is 13.277.
