Answer:
x = 70 degrees, red arc= 110 degrees
Step-by-step explanation:
x and 2x-30 added together is 180 degrees.
We can make an equation to find x,
x + (2x - 30) = 180
3x - 30 = 180
Add 30 to both sides to isolate x
3x = 210
By dividing both sides by 3, we get x = 70
Now we know the red arc is 2x - 30. We can plug x in because we know the value now.
2(70) - 30
140 - 30
Red Arc = 110 degrees
Answer: 1.303639
Step-by-step explanation:
The t-score for a level of confidence
is given by :_
, where df is the degree of freedom and
is the significance level.
Given : Level of significance : 
Then , significance level : 
Sample size : 
Then , the degree of freedom for t-distribution: 
Using the normal t-distribution table, we have

Thus, the t-score should be used to find the 80% confidence interval for the population mean =1.303639
The figure is being reflected over the x axis (horizontal axis). Any y coordinate that is negative becomes positive, and vice versa. The x coordinate stays the same.
If we have some point (x,y) as the original point, then it would turn into (x,-y). Note how the y coordinate has a negative on it now.
So we can say

which is what choice C is saying.
Choice C is the answerChoice D is NOT the answer because the words "y axis" under the 'r' should be "x axis" instead.
Answer:
There is a probability of 0 that the student plays both string and brass.
Step-by-step explanation:
Looking at the universal set, there are 40 students at this high school, 15 of which play string, 20 play brass, and 5 play neither (probably drummers). Note how there is no intersection of A and B, which is the probability we are looking for.
Since there is no intersection in the universal set between subset A and subset B, you can say that there is a probability of 0 since there is no overlap between the two subsets.
Cheers.