Answer:
50.24
Step-by-step explanation:
Take the diameter and multiply by 3.14 so 16 times 3.14
X is -2 because you add x to both sides, then you subtract 6 from both sides and you get x=-2
Using it's concept, the probabilities are given as follows:
a) C. 7/20.
b) D. 15/22.
<h3>What is a probability?</h3>
A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.
For item a, we have that there are 60 students with no curfew, and of those, 21 have no chores, hence the probability is given by:
p = 21/60 = 7/20
Which means that option C is correct.
For item b, we have that there are 66 students with no shores, and of those, 45 have a curfew, hence the probability is given by:
p = 45/66 = 15/22
Which means that option D is correct.
More can be learned about probabilities at brainly.com/question/14398287
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Based on the given summation notation, the expression that shows one way to simplify 43 Σ n=1 (3+9n) is (a) 43 Σ n=1 3 + 43 Σ n=1 9n
<h3>How to determine the summation expression?</h3>
The expression is given as:
43Σn=1(3+9n)
As a general rule, if a summation notation is represented using the following expression
Σ(a + bn)
The equivalent expression of the above summation notation is
Σa + bn
Where the variable a is a constant in the expression
This means that:
Σ(a + bn) = Σa + bn
Using the above equation as a guide, we have the following equivalent equation
43 Σ n=1 (3+9n) = 43 Σ n=1 3 + 43 Σ n=1 9n
Hence, based on the given summation notation; the expression that shows one way to simplify 43 Σ n=1 (3+9n) is (a) 43 Σ n=1 3 + 43 Σ n=1 9n
Read more about summation notation at:
brainly.com/question/16599038
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Step-by-step explanation:
Since 8.7b = (-2.9) * (-3b),
and -11.6 = (-2.9) * (4),
8.7b - 11.6 = -2.9(4 - 3b).
