Answer: n = 14
Step-by-step explanation: margin of error = critical value × σ/√n
Where σ = population standard deviation = 1
n = sample size = ?
We are to construct a 99% confidence interval, hence the level of significance is 1%.
The critical value for 2 tailed test at 1% level of significance is gotten from a standard normal distribution table which is 2.58
Margin of error = 0.7
0.7 = 2.58×1/√n
0.7 = 2.58/√n
By cross multipying
0.7×√n = 2.58
By squaring both sides
0.7^2 × n = 2.58^2
0.49 × n = 6.6564
n = 6.6564/0.49
n = 14
Answer:
![f^{-1}(x)=\sqrt[3]{x}-6](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%3D%5Csqrt%5B3%5D%7Bx%7D-6)
Step-by-step explanation:



![\sqrt[3]{x}=y+6](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%7D%3Dy%2B6)
![\sqrt[3]{x}-6=y](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%7D-6%3Dy)
Answer:

Step-by-step explanation:


Putting it in matrix form

From Cramer's rule we have


Verifying the results


Hence, the fraction is
.
The prime factorization of 70 is 2*5*7
Further explanation:
First of all let us define prime factorization
Prime factorization consists of all the prime multiples of a number i.e. the factors should also be prime numbers
Given number is 70
The multiples of 70 are
70 = 2*35 => 35 is composite number
70 = 5*14 => 14 is a composite number
70 = 7*10 => 10 is a composite number
70 = 2*5*7 => All factors are prime so
The prime factorization of 70 is 2*5*7
Keywords: Factorization, Prime factors
Learn more about prime factorization at:
#LearnwithBrainly
Answer:







Step-by-step explanation:
Required
Simplify
Solving (1):

Factorize the numerator and the denominator

Factor out x+2 at the numerator

Express x^2 - 9 as difference of two squares


Expand the denominator

Factorize


Cancel out same factors

Hence:

Solving (2):

Expand the numerator and factorize the denominator

Factorize the numerator

Factor out x - 2

Cancel out x - 2

Hence:

Solving (3):

Express x^2 - 9 as difference of two squares

Factorize all:

Cancel out x + 3 and 3 + x


Express
as 



Hence:

Solving (4):

Expand x^2 - 6x + 9 and factorize 5x - 15

Factorize


Cancel out x - 3

Change / to *

Express
as 



Hence:

Solving (5):

Factorize the numerator and expand the denominator

Factor out x - 1 at the numerator and factorize the denominator

Express x^2 - 1 as difference of two squares and factor out x - 1 at the denominator


Hence:

Solving (6):

Factorize:

Divide by 3x

Hence:

Solving (7):

Change / to *

Expand

Factorize


Cancel out x - 2 and x - 1

Cancel out x



Hence:
