Answer:
A normal distribution or z-test is used to construct a confidence interval.
Step-by-step explanation:
We are given the following in the question:
Sample mean,
= $3120
Sample size, n = 40
Population standard deviation, σ = $677
The distribution of earnings of college is a normal distribution.
Conditions:
- Since we are given the population standard deviation and the the sample size is also greater than 30.
Conclusion:
Thus, we use a normal distribution or z-test to construct a confidence interval.
A polynomial function of least degree with integral coefficients that has the
given zeros ![f(x)=x^4+x^3+9x^2+9x](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E4%2Bx%5E3%2B9x%5E2%2B9x)
Given
Given zeros are 3i, -1 and 0
complex zeros occurs in pairs. 3i is one of the zero
-3i is the other zero
So zeros are 3i, -3i, 0 and -1
Now we write the zeros in factor form
If 'a' is a zero then (x-a) is a factor
the factor form of given zeros
![\:\left(x-3i\right)\left(x-\left(-3i\right)\right)\left(x-0\right)\left(x-\left(-1\right)\right)\\\left(x-3i\right)\left(x+3i\right)\left(x-0\right)\left(x+1\right)](https://tex.z-dn.net/?f=%5C%3A%5Cleft%28x-3i%5Cright%29%5Cleft%28x-%5Cleft%28-3i%5Cright%29%5Cright%29%5Cleft%28x-0%5Cright%29%5Cleft%28x-%5Cleft%28-1%5Cright%29%5Cright%29%5C%5C%5Cleft%28x-3i%5Cright%29%5Cleft%28x%2B3i%5Cright%29%5Cleft%28x-0%5Cright%29%5Cleft%28x%2B1%5Cright%29)
Now we multiply it to get the polynomial
![x\left(x-3i\right)\left(x+3i\right)\left(x+1\right)\\x\left(x^2+9\right)\left(x+1\right)\\x\left(x^3+x^2+9x+9\right)\\x^4+x^3+9x^2+9x](https://tex.z-dn.net/?f=x%5Cleft%28x-3i%5Cright%29%5Cleft%28x%2B3i%5Cright%29%5Cleft%28x%2B1%5Cright%29%5C%5Cx%5Cleft%28x%5E2%2B9%5Cright%29%5Cleft%28x%2B1%5Cright%29%5C%5Cx%5Cleft%28x%5E3%2Bx%5E2%2B9x%2B9%5Cright%29%5C%5Cx%5E4%2Bx%5E3%2B9x%5E2%2B9x)
polynomial function of least degree with integral coefficients that has the
given zeros ![f(x)=x^4+x^3+9x^2+9x](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E4%2Bx%5E3%2B9x%5E2%2B9x)
Learn more : brainly.com/question/7619478
She knits 18 squares on Monday.
Then she knits 7 more squares each day:
Tuesday: +7, Wednesday: +7, Thursday: +7 and Friday: +7
18 + 7 * 4 = 18 + 28 = 46
Answer: She has 46 squares on Friday.
The answer is C. 64 teachers.
14 x 64= 896
so 1 x 64= 64