Answer:
<h3>34.61</h3>
Step-by-step explanation:
Find the diagram attached
From the diagram;
Hypotenuse = 81.9
Angle of elevation = 65degrees
Required
The value of x (Adjacent)
Using the SOH CAH TOA identity
cos theta = adjacent/Hypotenuse
cos 65 = x/81.9
x = 81.9cos65
x = 81.9(0.4226)
x = 34.61
Hence the value of x to the nearest hundredth is 34.61
The 85th percentile is the cutoff time
such that
In other words, the 85th percentile refers to the time needed to belong to the top 15% of the distribution; more generally, the
percentile is the top
of the distribution.
Anyway, to find this value of
, transform
to a random variable
with the standard normal distribution using
where
is the mean of
and
is the standard deviation of
.
Here
is used to denote the z-score corresponding to the cutoff time
. Referring to a z-score table, you find that this occurs for
. So,
Answer:
B = 129
Step-by-step explanation:
Opposite angles of a parallelogram are equal (or congruent)
A and C are both 51.
All angles in a parallelogram equal 360
Take both the known angles and substract from 360, than divide by 2.
B = (360 - 51 - 51)/2
B = 129
Answer:
4 2/3
Step-by-step explanation:
Any negatives in absolute value signs can be turned positive because it is the same distance from 0 in the number line. (right or left, but in this case, the distance is ALWAYS positive)
<h2>Writing an linear equation from a given scenario</h2>
Answer:
Choice B
<h3>
Step-by-step explanation:</h3>
<em>Please refer to my answer from this question to know more about writing a </em><em>linear</em><em> </em><em>equation</em><em> from a given scenario: </em><em><u>brainly.com/question/24599307</u></em>
Scenario: A submarine dives 
feet per minute.
We let 
, be the position of the submarine from sea level as a function of , the time (in minutes) since the submarine dived.
The given scenario states that for every minute, the position of the submarine <u>decreases</u> (because the submarine is going in a downward direction) by feet. So 
can be defined as 
.
Now we can select two points for the graph. We can select points 
and 
.
Evaluation of function:
Our points are 
and 
Choice A doesn't touch our chosen points. In Choice C, it would be the case if the submarine is going in upward direct.
So the correct graph is Choice B.
