Answer:
y = 1x + 7
Step-by-step explanation:
<u>The equation formula for this scenario is y = mx + b</u>
m = slope
b = y-intercept
To find the slope, pick two points. I picked (2,9) and (4,11).
Subtract 11 from 9, you'll get 2.
Subtract 4 from 2, you'll get 2.
2/2 equals 1. The slope (m) = 1
To find the b, y-intercept, plot the points on a graph and see if the linear line across the y-intercept. For this case, the y-intercept is 7.
The equation is: y = 1x + 7
Height covered by the plane=h= 500 feet
Distance covered by the plane along the ground=d= 2 mile
Now, convert the mile into feet,
1 mile = 5280 feet
2 mile = 10560 feet
Now, use the formula
h= d tanθ
tanθ= h/d
tanθ= 500/10560
tanθ= 25/528
Take the tan⁻¹ on both side,
θ= tan⁻¹(25/528)
θ =2.71°
Answer:
There are a 25% probability that Christine fails the course.
Step-by-step explanation:
We have these following probabilities:
A 50% probability that Christine finds a tutor.
With a tutor, she has a 10% probability of failling.
A 50% probability that Christine does not find a tutor.
Without a tutor, she has a 40% probability of failing.
Probability that she fails:
10% of 50%(fail with a tutor) plus 40% of 50%(fail without a tutor). So
There are a 25% probability that Christine fails the course.