The value for y is 17.5°
The equation is
Sin (3y - 30°) = Cos (7y +50°)
<h3>What is Trigonometry ?</h3>Trigonometry is the branch oh Mathematics which involve the study of right angles , its sides and trigonometric ratios.
the equation given in the question is
Sin (3y - 30°) = Cos (7y +50°)
cos(90 - ) = sin
Therefore
sin(3y-30°) = sin( 90-(7y+50°)
Equating the terms
3y - 30 = 90-7y -50
4y = 90-50+30
4y = 120-50
4y = 70
y = 17.5
The value for y is 17.5°
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Answer:
x = 10, y = 10
Step-by-step explanation:
Using the sine/ cosine ratios in the right triangle and the exact values
sin60° = , cos60° =
, then
sin60° = =
=
( cross- multiply )
2x = 20 ( divide both sides by 2 )
x = 10
and
cos60° = =
=
( cross- multiply )
2y = 20 ( divide both sides by 2 )
y = 10
Answer:
The Null Hypothesis is
The alternative hypothesis is
Decision rule
If the test staistics is greater than the critical value of significance level then is accepted else
is rejected
With the above in mind
The critical value of the significance level which is obtained from the table is
Now since the critical value of significance level is greater than the test staistics then the null hypothesis will be rejected
Conclusion
The information is not enough to back the claim that state differs from the nation
Step-by-step explanation:
From the question we are told that
The percentage of US female workers paid at the minimum wage or less is 7% = 0.07
The sample size is
The number paid minimum wage or less is x = 42
The significance level is 5% = 0.05
Now the probability of getting a US female workers paid at the minimum wage or less is mathematically represented as
substituting value
The Null Hypothesis is
The alternative hypothesis is
Generally the test statistics is mathematically evaluated as
substituting value
Now the Decision rule is stated as
If the test staistics is greater than the critical value of significance level then is accepted else
is rejected
With the above in mind
The critical value of the significance level which is obtained from the table is
Now since the critical value of significance level is greater than the test staistics then the null hypothesis will be rejected
So the conclusion will be
The information is not enough to back the claim that state differs from the nation