Which of the following could be the function
2 answers:
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Answer:
Step-by-step explanation:
given AD = DB , means D is the midpoint of AB
given AE = EC , means E is the midpoint of AC
<h3><u>MID POINT THEOREM</u></h3>In a triangle ABC, if D and E is the midpoint of side AB and AC respectively.
Then DE is parallel to BC and length of DE is half of length of BC.
BC = 22 (given in the question)
Answer:
DL = 5.87 un.
LN = 10.98 un.
DN = 14.4 un.
Step-by-step explanation:
<u>Given:</u>
∆DLN,
LF ⊥ DN ,
DF = 4
m∠N = 23º,
m∠D = 47º
<u>Find:</u>
DL, LN, DN
Solution:
In right triangle DFL, DF = 4, m∠D = 47º, so
and
In right triangle LFN, LF = 4.29 units, m∠N = 23º, so
and
Hence,
DN = 4.29 + 10.11 = 14.4 units
A) 0.1587
B) 0.9772
C) 0.8185
Step-by-step explanation:
A)
In this problem, the mathematics score of the year is distributed according to a normal distribution, with parameters:
is the mean of the distribution
is the standard deviation of the distribution
We want to find the probability that a randomly selected score is greater than 30.4. First of all, we calculated the z-score associated to this value, which is given by:
The z-score tables give the probability that the z-score is less than a certain value; since the distribution is symmetrical around 0,
Here we want to find , which is therefore equivalent to
. Looking at the z-tables, we find that
B)
Here instead we want to find the probability that a randomly selected score is less than 32.8.
First of all, we calculate again the z-score associated to this value:
Now we notice that:
(1)
Since the overall probability under the curve must be 1. We also note that (from part A)
Which means that we can rewrite (1) as
Here, we have
Z = 2
This means that
Looking at the z-tables, we find that
Therefore, we get
C)
Here we want to find the probablity that the score is between 25.6 and 32.8.
First of all, we calculate the z-scores associated to these two values:
So here we basically want to find the probability that
Which can be rewritten as:
So in this case,
From part A and B we found that:
Therefore,
Answer:
<h2>360 ft³</h2>Step-by-step explanation:
The formula of a volume of a pyramid:
<em>B</em><em> - area of a base</em>
<em>H</em><em> - height</em>
<em />
In the base we have the rectangle 12ft × 6ft.
Therefore
<em>H = 15 ft</em>
Substitute: