Answer:
factoring: (
3
x
+
1
)
(
3
x+
2
)
expressing/equation: 9x²= 81x
81x + 9x + 2=
9x+81x=90x
90x + 2
Step-by-step explanation:
Answer: b. Only statement (ii) is correct.
Step-by-step explanation:
The given five-number summary of the ages of passengers on a cruise ship is listed below.
Min 1
20 Median 29
38 Max 80
Inter-quartile range = ![IQR=Q_3-Q_1=38-20=18](https://tex.z-dn.net/?f=IQR%3DQ_3-Q_1%3D38-20%3D18)
- According to the 1.5(IQR) criterion for outliers : An data value is an outlier if it lies below
or above
.
Here , ![Q_1 - 1.5(IQR) =20-1.5(18)=-7](https://tex.z-dn.net/?f=Q_1%20-%201.5%28IQR%29%20%3D20-1.5%2818%29%3D-7)
![Q_3 + 1.5(IQR)=38+1.5(18)=65](https://tex.z-dn.net/?f=Q_3%20%2B%201.5%28IQR%29%3D38%2B1.5%2818%29%3D65)
Since the minimum value>
( ∵ 1 > -7)
It means there is no value below
, so there is no low -outlier.
⇒ Statement (i) "here is at least one passenger whose age is a low outlier. " is false.
But the maximum value >
(∵ 85 > 65)
It means there are values above
.
⇒Statement (ii) "There is at least one passenger whose age is a high outlier" is true.
Hence, the correct answer is b. Only statement (ii) is correct.
Side = 8m
He increases length by 2m and reduces width by 2m
(a.) New dimensions will be -
Length = 10m and Width = 6m
(b.) Area = length x breadth (or width)
here we will use the special product (x+y) (x-y)
length = (x+y) and width = (x-y)
area = (8+2) x (8-2)
8^(2) - 2^(2)
= 60
I think it's 7.52 and then 8.52