Answer:
1) x = 60° ; y = 70°
2) x = 50° ; y = 80°
3) x =110° ; y = 60°
4) x =60° ; y = 90°
Step-by-step explanation:
1)
We have to find the interior angle y
= 180 - 120
= 60°
Now we have to find x
=180 - (60 + 50)
= 180 - 110
= 70°
2)
We know that opposite angles are equal
So therfore y = 80°
x = 180 - 80 + 50
x = 180 - 130
x = 50°
3)
According to the figure we see that x+y=180
Exterior angle = sum of two interior angle
So, x = 50 + 60
x = 110°
Now we substitute in the x value
x + y = 180
110 + y = 180
y = 180 - 110
y = 70°
4)
Opposite angles are equal
x = 60°
The figure is a right angle triangle
So,
y =90°
5 Trumpets
10 Trumpets
8 Trombones
6 Trombones for 15 Trumpets
By using sin you can find BD. Sin is the opposite side/ hypotenuse. This can be simplified to BD = opposite (4) divided by sin(27). 27 is the angle.
Complete question :
According to the National Association of Realtors, it took an average of three weeks to sell a home in 2017. Suppose data for the sale of 39 randomly selected homes sold in Greene County, Ohio, in 2017 showed a sample mean of 3.6 weeks with a sample standard deviation of 2 weeks. Conduct a hypothesis test to determine whether the number of weeks until a house sold in Greene County differed from the national average in 2017. Useα = 0.05for the level of significance, and state your conclusion
Answer:
H0 : μ = 3
H1 : μ ≠ 3
Test statistic = 1.897
Pvalue = 0.0653
fail to reject the Null ; Hence, we conclude that their is no significant to accept the claim that number I weeks taken to sell a house differs.
Step-by-step explanation:
Given :
Sample size, n = 40
Sample mean, x = 3.6
Population mean, μ = 3
Standard deviation, s = 2
The hypothesis :
H0 : μ = 3
H1 : μ ≠ 3
The test statistic :
(xbar - μ) ÷ (s/√n)
(3.6 - 3) / (2/√40)
0.6 / 0.3162277
Test statistic = 1.897
Using T test, we can obtain the Pvalue from the Test statistic value obtained :
df = n - 1; 40 - 1 = 39
Pvalue(1.897, 39) = 0.0653
Decison region :
If Pvalue ≤ α ; Reject the null, if otherwise fail to reject the Null.
α = 0.05
Pvalue > α ; We fail to reject the Null ; Hence, we conclude that their is no significant to accept the claim that number I weeks taken to sell a house differs.
