Answer:
y = 52.02
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj/ hyp
cos y = 8/13
Take the inverse cos of each side
cos ^-1 cos y = cos ^-1 ( 8/13)
y = cos ^-1 ( 8/13)
y = 52.02012756
To the nearest hundredth
y = 52.02
Answer:
There are 9 teachers in the auditorium.
Step-by-step explanation:
81*1/9=9
Answer:

Step-by-step explanation:
The graph is similar to Parabola. The transformation of graph is also similar to Parabola.
For B choice, the graph doesn't move by y-axis.
For C choice, the graph would have max-point at -2.
For D choice, similar to the B choice.
Answer:
29.5+/-1.11
= ( 28.39, 30.61)
Therefore, the 90% confidence interval (a,b) =( 28.39, 30.61)
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
x+/-zr/√n
Given that;
Mean x = 29.5
Standard deviation r = 5.2
Number of samples n = 59
Confidence interval = 90%
z-value (at 90% confidence) = 1.645
Substituting the values we have;
29.5+/-1.645(5.2/√59)
29.5+/-1.645(0.676982337100)
29.5+/-1.113635944529
29.5+/-1.11
= ( 28.39, 30.61)
Therefore, the 90% confidence interval (a,b) =( 28.39, 30.61)
640 minus 400 equals 240 being the profit, if that's what you were asking