Given x ^2 −3x+2=0
x ^2 −2x−1x+2=0
(Resolving the expression)
x(x−2)−1(x−2)=0 (Taking common factors)
(x−2)(x−1)=0 (Taking common factors)
∴x−2=0 or x−1=0 (Equating each factor to zero)
∴x=2 or x=1
∴2 and 1 are the roots of x ^2 −3x+2=0
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Answer:
(e) the mean number of siblings for a large number of students has a distribution that is close to Normal.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean 
and standard deviation 
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean and standard deviation 
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
By the Central Limit Theorem
The sampling distributions with a large number of students(at least 30) will be approximately normal, so the correct answer is given by option e.
The pattern of 324, 256, 196, 144 is the square of the even numbers in a descending order starting from 18.
<h3>What is a sequence?</h3>
A sequence is a set of things next to each other in a set order. It is also referred to as a series.
According to this question, the following sequence is given: 324, 256, 196, 144. A careful observation of these numbers shows that each is the square of even numbers.
18² = 324
16² = 256
14² = 196
12² = 144
Therefore, the pattern of 324, 256, 196, 144 is the square of the even numbers in a descending order starting from 18.
Learn more about pattern at: brainly.com/question/19819125
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The width is 8.2
Perimeter = 2W + 2L (there are four sides of a rectangle, two longer sides, two shorter, W and L)
<span>65.6 = 2W + 2L
</span><span>L = 3W so substitute 3W in for L </span>
<span>65.6 = 2W +2 (3W) </span>
<span>65.6 = 8W </span>
<span>W = 8.2 cm </span>
<span>L = 3(8.2) </span>
<span>L = 24.6cm </span>
