Melissa is standing 40 ft from a tree, so m = 40 is base of the triangle.
angle of elevation (aoe) = 50°
The tree's height (h) is the side opposite the aoe (50°), therefore in trigonometry tangent 50 = opposite / adjacent. The side adjacent to that angle (50°) is the base (m). Therefore:
tan50 = h/m
And now h = m (tan50)
h = 40 (1.19) = 47.7 ft
487.2
Find mean by adding all numbers together and then dividing by the number of numbers
Answer:
(a) 0
(b) -3/26
Step-by-step explanation:
(a)
We essentially plug 1 in for x and 2 in for y.
Our expression is
, so making the correct substitutions yields:

So, the answer for part (a) is 0.
(b)
Again, we're now plugging in 1 for x and 5 for y:

So, the answer for part (b) is -3/26.
<h2>
Answer : (2.67, 3.53)</h2><h2>
</h2>
Step to step explanation:
Confidence interval for mean, when population standard deviation is unknown:

, where
= sample mean
n= sample size
s= sample standard deviation
= Critical t-value for n-1 degrees of freedom
We assume the family size is normal distributed.
Given, n= 31 ,
, s= 1.42 ,

Critical t value for
and degree of 30 freedom
= 1.697 [By t-table]
The required confidence interval:

Hence, the 90% confidence interval for the estimate = (2.67, 3.53)