Answer:
The correct statement is:
On average, the height of a garden gnome varies 3.2 inches from the mean of 6 inches.
Step-by-step explanation:
We are given a data of 11 gardens as:
2 9 1 23 3 7 10 2 10 9 7
Now on removing the outlier i.e. 23 (since it is the very large value as compared to other data points) the entries are as follows:
x |x-x'|
2 4
9 3
1 5
3 3
7 1
10 4
2 4
10 4
9 3
7 1
Now mean of the data is denoted by x' and is calculated as:
Hence, Mean(x')=6
Now,
∑ |x-x'|=32
Now mean of the absolute deviation is:
This means that , On average, the height of a garden gnome varies 3.2 inches from the mean of 6 inches.
Answer:
$406
Step-by-step explanation:
Step one:
given data
Cakes and More baked 1,450 chocolate chip cookies
The bakery sold them in boxes of 25 cookies each
The number of boxes will be
1450/25
=58 boxes
Step two:
The cost per box is $7
hence the cost of 58 boxes will be
=7*58
=$406
The resulting expression on factorization by grouping method is (3-7x²)(x-3).
<h3>What is Factorization?</h3>
Factorization is a method in which an Integer or an expression is written in terms of product of its fractions.
The expression given in the question is
–7x³ + 21x² + 3x – 9
This equation has to be factorized using grouping method.
group of two or more is formed and common term is taken out.
-7x² (x -3) +3(x-3)
( -7x²+3) (x-3)
(3-7x²)(x-3)
The resulting expression on factorization by grouping method is
(3-7x²)(x-3).
To know more about Factorization
brainly.com/question/24182713
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Answer:
1.4 hours
Step-by-step explanation:
Runner A:
Speed = 8.1 mph
Time, = t
Runner B :
Speed = 6.3 mph
Time, = t
Distance apart = 20.16 miles
Distance = speed * time
Distance of Runner A + Distance of runner B = distance apart
8.1t + 6.3t = 20.16
14.4t = 20.16
t = 20.16 / 14.4
t = 1.4 hours
Number of hours, t = 1.4 hours
