Answer:
Altitude of the plane is 0.5 miles.
Step-by-step explanation:
From the figure attached,
An airplane A is at height h miles observes a small airstrip at D and a factory at F, 4.8 miles apart from D.
Angle of depressions for the airstrip is 13.1° and the factory is 4.1°.
We have to calculate the airplane's altitude h.
From ΔABF,
tan4.1 = 
h = 0.07168(x + 4.8) -----(1)
From ΔABD,
tan13.1 = 
h = 0.2327x -----(2)
From equation (1) and (2),
0.07168(x + 4.8) = 0.2327x
0.2327x - 0.07168x = 4.8×0.07168
0.161x = 0.344
x = 
miles
From equation (2),
h = 0.2327×2.137
h = 0.4972 miles
h ≈ 0.5 miles
Therefore, 0.5 miles is the altitude of the plane.
Answer:
(B) 0.2843
Step-by-step explanation:
Let d be the difference in proportions from Country X and Country Y who were first married between the ages of 18 and 32.
Then hypotheses are
: d=0.15
: d<0.15
Test statistic can be found using the equation
where
- p1 is the sample proportion of Country X (0.36)
- p2 is the sample proportion of Country Y (0.26)
- p is the pool proportion of p1 and p2 (
)
- n1 is the sample size of adults from Country X (60)
- n2 is the sample size of adults from Country Y (50)
Then 
≈ 0.5646
p-value of test statistic is ≈ 0.2843
p-value states the probability that the difference in proportions between a random sample of 60 adults from Country X and a random sample of 50 adults from Country Y who were first married between the ages of 18 and 32 is at least 0.15
Answer:
12 in
Step-by-step explanation:
the arc length formula is s = rФ, where Ф is the central angle in radians.
Here, the arc length is s = (4 in)(3 radians) = 12 in
The roots or zeros of a polynomial are the points it crosses the x-axis.
The roots of the polynomial in order from least to greatest are -5, 0 and 5
From the graph (see attachment), we have the following highlights
- <em>The graph cross the x-axis at x = -5</em>
- <em>The graph cross the x-axis at x = 0</em>
- <em>The graph cross the x-axis at x = 5</em>
The points at which the graph crosses the x-axis are the roots of the graph.
So, the roots are: -5, 5 and 5
Read more about the roots of a polynomial at:
brainly.com/question/7921963
Add all of the numbers by using an odd number.
1+1= 2
2+3= 5
5+5=10
10+7= 17
17+9= 26
26+11= 37
Answer:1 , 2, 5, 10, 17, 26, 37
