Answer: The tree was 27 feet tall
Step-by-step Explanation: First of all Sally was standing 30 feet away from the tree and she looks up at an angle of elevation of 38 degrees to the top of the tree. With this bit of information we can determine that a right angled triangle has been formed with the reference angle as 38 degrees, the side facing it as h (the height of the tree) and the adjacent side as 30. We shall apply the trigonometric ratio as follows;
Tan 38 = opposite/adjacent
Tan 38 = h/30
0.7813 = h/30
0.7813 x 30 = h
23.4 = h
We remember at this point that Sally’s eyes were 4 feet above the ground. What we have just calculated is the height of the tree from “4 feet above the ground” (where her eyes were). Hence the actual height of the tree is calculated as 23.4 plus 4 which gives us 27.4
Therefore the tree was 27 feet tall (approximately to the nearest foot)
Answer:
8 pencils.
Step-by-step explanation:
This is a common, GCF question and the question becomes, what number is the GCF of 40 and 24.
40= 2x2x2x5
24=2x2x2x3
Both share 2x2x2, which is 8 so the largest number of pencils in each pack is 8.
Answer:
"I don't understand what this means but I will take my best shot, I guess, this is my answer based on the small amount of words this question gives"
Depending on skill level either of them could win, for example if the 10 players are able to overwhelm the 8 players they will win, but if the 8 players have better players they could win, depending on their skill, even though the 10 player team has a better chance to win, the 8 player team could win.
Answer:
So in range "-35.6108 to 39.73"; 50% data set can be found
ux = 37.6704 unites
Step-by-step explanation:
Step One: State the given parameters
From the question we are given that
mean Ц =2.06 unites
Standard deviation б is = 55.85 unites
Probability density → Normal
Let assume that it is symmetrically distributed about the mean
Step Two: Determine the range of the values
Our goal is to determine the range of values in which 50% of the data set should be found . Assuming that the range is from 
to 
and between these these we found 50% data set Hence from 0 up to we found 25% and up to we found 75% of the data set therefore z value corresponding to is - 0.6745 and the the z value corresponding to is +0.6745 (Refer to the z-table for normal distribution) as shown o the diagram on the first uploaded image
The formula for z is
z = 
for ,z = - 0.6745 ,substituting into the formula
=> -37.67 = -2.06
=> = -35.6108 unites
for , z = 0.6745 , substituting into the formula
=> 37.67 = -2.06
=> = 39.73 units
So in range "-35.6108 to 39.73"; 50% data set can be found
ux = (39.73 - (-35.73) )/2
= 37.6704 unites
Answer:
Step-by-step explanation:
21
