Tree is 64.90 ft tall !
<u>Step-by-step explanation:</u>
We have , Alex wants to measure the height of a tree. Alex walks exactly 100 feet from the base of the tree and looks up. The angle from the ground to the top of the tree is 33. We need to find How tall is the tree . Let's find out:
According to questions we have following dimensions for a right angle triangle:
, where x is angle from the ground to the top of the tree
In right angle triangle ,
⇒
⇒
⇒
⇒
Therefore , Tree is 64.90 ft tall !
Answer:
Mean SAT score for Stevens High graduates are not the same as the national average.
Step-by-step explanation:
We are given the following information in question:
Population mean, μ = 510
Sample mean, = 501
Sample size, n = 50
Alpha, α = 0.10
Sample standard deviation, s = 30
First, we design the null and the alternate hypothesis
We use Two-tailed t test to perform this hypothesis.
Formula:
Putting all the values, we have,
Now,
Since,
We reject the null hypothesis and fail to accept it.
We accept the alternate hypothesis and mean SAT score for Stevens High graduates are not the same as the national average.
-.5 + 2, you can think of this as 2 - .5 as well, it would equal out to be 1.5.
Answer:
x=-12
Step-by-step explanation:
x2-36=5x
add 36 to both sides
x2=5x+36
subtract 5x from both sides
x(-3)=36
divide both sides by -3
x=-12
substitute to prove right
(-12)2-36=5(-12)
-24-36=-60
-60=-60