4 + 10 = 2 x 2 + 2 x 5 = 2 x (2 + 5)
Answer:
(a) 720 ways
(b) 120 ways
(c) 24 ways
Step-by-step explanation:
Given

--- number of letters
Solving (a): Number of arrangements.
We have:

So, the number of arrangements is calculated as:

This gives:

This gives:


Solving (b): DA as a unit
DA as a unit implies that, we have:
[DA] N C E R
So, we have:

So, the number of arrangements is calculated as:

This gives:

This gives:


Solving (c): NCE as a unit
NCE as a unit implies that, we have:
D A [NCE] R
So, we have:

So, the number of arrangements is calculated as:

This gives:

This gives:


Answer:
a.
b.
Step-by-step explanation:
Dimensions of rectangular piece of cardboard=
According to question
Length of box,l=10-2x
Breadth of box,b=6-2x
Height of box,h=x
a.
Volume of box=
Substitute the values in the formula
Volume of box=

b.Surface area of box=
Because the box has no lid
Substitute the values in the formula
Surface area of box=
Surface area of box=
Surface area of box=
Surface area of box=
Surface area of box, S(x)=
The correct statement based on the data is: A. Mean, because there are no outliers to affect the data.
<h3>What are Outliers?</h3>
Outliers are data point that appears extreme from other data values of a data distribution. When there is an outlier in a data distribution, the median is a better measure of center, while the mean is best when outliers are absent.
From the data distribution for both bakeries, no data seem extreme from the rest of the data, therefore, the mean is a better measure of center.
The answer is: A. Mean, because there are no outliers to affect the data.
Learn more about outliers on:
brainly.com/question/4520746
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Answer:
finite set is this
Step-by-step explanation:
even number less than 50 is finite set