35.5 ft is the width of the room
Answer:
The mean number of the children is 1.2
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Step-by-step explanation:
Given
Children: 0, 1, 2, 1, 2
Required
Determine the Mean number
The mean of a set is calculated as follows;

Where x is the given set and n is the number of sets
In this case, n = 5 children
Hence;



<em>Hence, the mean number of the children is 1.2</em>
Answer:
607,261
Step-by-step explanation:
Answer: - 49
Step-by-step explanation:
f(x) = -2x - 1
g(x) =
- 1
fg(x) = f (
- 1) , we just put in the value of g(x) , the next thing is to substitute
- 1 for the value of x in f(x) , that is
fg(x) = -2(
- 1) - 1
fg(x) = -2
+ 2 - 1
fg(x) = -2
+ 1
Therefore : fg(-5) means we will substitute -5 for x in fg(x) , that is
fg(-5) = -2 (
+ 1
fg(-5) = -2(25) + 1
fg(-5) = -50 + 1
fg(-5) = -49
∆PQR and ∆SQT are similar, so corresponding sides occur in fixed ratios with one another. This means
SQ / PQ = ST / PR
Solve for x :
8 / ((x + 5) + 8) = (x - 9) / 21
8 / (x + 13) = (x - 9) / 21
168 = (x - 9) (x + 13)
168 = x² + 4x - 117
x² + 4x - 285 = 0
(x + 19) (x - 15) = 0
⇒ x = -19 or x = 15
But x can't be smaller than 9, otherwise ST = x - 9 would be a negative length. So x = 15.