Answer:
The probability of randomly selecting someone who does not believe that statistics teachers know the true meaning of life is 0.426.
Step-by-step explanation:
Let <em>X</em> = number of Americans who believe that statistics teachers know the true meaning of life.
The probability of the random variable <em>X</em> is,
P (X) = 0.574
The event of a person not believing that statistics teachers know the true meaning of life is the complement of the event <em>X</em>.
The probability of the complement of an event, <em>E</em> is the probability of that event not happening.
Compute the value of 
as follows:
Thus, the probability of randomly selecting someone who does not believe that statistics teachers know the true meaning of life is 0.426.
Answer:
Step-by-step explanation:
![2X-\left[\begin{array}{ccc}-4&8\\2&-2\end{array}\right] =\left[\begin{array}{ccc}2&-2\\8&5\end{array}\right]\\X=\frac{1}{2} (\left[\begin{array}{ccc}-4&8\\2&-2\end{array}\right] +\left[\begin{array}{ccc}2&-2\\8&5\end{array}\right])\\X=\frac{1}{2} (\left[\begin{array}{ccc}-4+2&8-2\\2+8&-2+5\end{array}\right] )\\X=\frac{1}{2} (\left[\begin{array}{ccc}-2&6\\10&3\end{array}\right] )\\X= (\left[\begin{array}{ccc}\frac{1}{2}(-2)&\frac{1}{2}(6)\\\frac{1}{2}(10)&\frac{1}{2}(3)\end{array}\right] )\\](https://tex.z-dn.net/?f=2X-%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-4%268%5C%5C2%26-2%5Cend%7Barray%7D%5Cright%5D%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%26-2%5C%5C8%265%5Cend%7Barray%7D%5Cright%5D%5C%5CX%3D%5Cfrac%7B1%7D%7B2%7D%20%28%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-4%268%5C%5C2%26-2%5Cend%7Barray%7D%5Cright%5D%20%2B%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%26-2%5C%5C8%265%5Cend%7Barray%7D%5Cright%5D%29%5C%5CX%3D%5Cfrac%7B1%7D%7B2%7D%20%28%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-4%2B2%268-2%5C%5C2%2B8%26-2%2B5%5Cend%7Barray%7D%5Cright%5D%20%29%5C%5CX%3D%5Cfrac%7B1%7D%7B2%7D%20%28%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-2%266%5C%5C10%263%5Cend%7Barray%7D%5Cright%5D%20%29%5C%5CX%3D%20%28%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D%5Cfrac%7B1%7D%7B2%7D%28-2%29%26%5Cfrac%7B1%7D%7B2%7D%286%29%5C%5C%5Cfrac%7B1%7D%7B2%7D%2810%29%26%5Cfrac%7B1%7D%7B2%7D%283%29%5Cend%7Barray%7D%5Cright%5D%20%29%5C%5C)
![X= (\left[\begin{array}{ccc}-1&3\\5&3/2\end{array}\right] )](https://tex.z-dn.net/?f=X%3D%20%28%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-1%263%5C%5C5%263%2F2%5Cend%7Barray%7D%5Cright%5D%20%29)
Answer:
115.6, 114.52, 114.483, 15.305
Step-by-step explanation:
Answer:
$2.75
Step-by-step explanation:
The cost of 2 icecream cones is $5.50. Given data: Price of 3 icecream cones is $8.25. 1 icecream come = $(8.25÷3) =$ 2.75.
Answers: sin(2∅) = 120/169, cos(2∅) = 119/169, tan(2∅) = 120/119
<h3>What are trigonometric functions?</h3>
Trigonometric functions are used to establish the relationship between the sides and the angles of a right angle triangle.
Analysis:
If cos∅ = adjacent/hypotenuse = 12/13,
Then, opposite of the right angled triangle = 
= 5
sin∅ = 5/13, cos∅ = 12/13, tan∅ = 5/12
sin(2∅) = 2sin∅cos∅ = 2(5/13)(12/13) = 120/169
cos(2∅) = 
∅ - 
∅ = 
- 
= 144/169 - 25/169 = 119/169
tan(2∅) = sin(2∅) / cos(2∅) = 120/169 ÷ 119/169 = 120/119
Learn more about trigonometric functions: brainly.com/question/24349828
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