Factorisation is basically where you have to find everything in common between 2, 3 or 4 terms.
In factorization, you take out the like-terms. eg.
12x-6y
6(2x-y)
We have to find the HCF of 6 and 12 which is 6.
Here, the 6 is common (goes outside the bracket) and the other numbers (which are in the bracket) are uncommon.
Always remember in factorisation that:
+ and + = –
– and – = +
– and + = –
+ and – = –
Answer:
Yes, the normal curve can be used as an approximation to the binomial probability.
Step-by-step explanation:
Let <em>X</em> = number of students that pass their college placement exam.
The probability that a given student will pass their college placement exam is, P (X) = <em>p</em> = 0.53.
A random sample of <em>n</em> = 127 students is selected.
The random variable <em>X</em> follows a Binomial distribution.
But the sample size is too large.
A Normal approximation to Binomial can be used to approximate the distribution of proportion <em>p</em>.
The conditions to be satisfied are:
- <em>np</em> ≥ 10
- <em>n</em>(1-<em>p</em>) ≥ 10
Check whether the conditions are satisfied as follows:
Both he conditions are satisfied.
Thus, a normal curve can be used as an approximation to the binomial probability.
Step-by-step explanation:
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Define x:
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Let x be the length of the pool.
Length of the pool and its border = x + 1 + 1
Length of the pool and its border = x + 2
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Given area = 361 ft², find x:
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(x+2)² = 361
x+ 2 = √361
x + 2 = 19
x = 19 - 2
x = 17
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Find Length of the pool:
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Length of the pool = x = 17 feet
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Find Area of the pool:
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Area = 17 x 17
Area = 289 ft²
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Answer: Area of the pool = 289 ft²
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Answer:
Answer Question 1:
Blank 1: Corresponding
Blank 2: congruent
Blank 3: similar
Blank 4: proportional
Question 2:
Blank 1: shape
Blank 2: size.
Step-by-step explanation:
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