We see two parallel lines crossed by a transversal.
The two labelled angles are alternate interior angles, hence they are equal.
The equality allows us to equate the two expressions and hence solve for x.
8x-3=5x+42
transpose terms
8x-5x=42+3
solve for x
3x=45
so x=45/3=15.
This means 5x+42=5*15+42=75+42=117 degrees.
Mean = (total of contributors) / (number of contributors)
For the 6 people in the room, you have
40 = (total of contributors) / 6
(total of contributors) = 6*40 = 240
A 60-year-old left the room, decreasing the total of contributors by 60.
(new total of contributors) = (total of contributors) - 60
(new total of contributors) = 240 - 60 = 180
Then the new mean is
(new mean) = (new total of contributors) / (new number of contributors)
(new mean) = 180 / 6 = 36
The mean age of the remaining 5 people is 36.
Answer:
I AM NOT ABLE TO GIVE THE ANSWER OF THIS QUESTION
The standard deviation for the number of times an odd number is rolled is 15.8
<h3>How to determine the standard deviation?</h3>
The given parameters are:
Die = regular six-sided die
n = 1000
The probability of rolling an odd number is:
p = 1/2 = 0.5
The standard deviation is then calculated as;
This gives
Evaluate the products
Evaluate the root
Hence, the standard deviation is 15.8
Read more about standard deviation at:
brainly.com/question/16555520
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