Answer:
The 90% confidence interval for the true mean number of reproductions per hour for the bacteria is between 11.2 and 11.6 reproductions.
Step-by-step explanation:
We have that to find our 
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of 
.
So it is z with a pvalue of 
, so 
Now, find M as such
In which 
is the standard deviation of the population and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 11.4 - 0.2 = 11.2 reproductions.
The upper end of the interval is the sample mean added to M. So it is 11.4 + 0.2 = 11.6 reproductions.
The 90% confidence interval for the true mean number of reproductions per hour for the bacteria is between 11.2 and 11.6 reproductions.
You have to think about what y and x can be equal to for you to get 12. (Hint: y is going to be a bigger number than x)
Ex: 3y-5x=5
Think: 3 x 10(y) - 5 x 5(x)= 5
So, y would be 10 and x would be 5.
Answer: Factorization of 6x + 120 = 6(x+20)
Factors = 6 and x+20
Step-by-step explanation:
Given: The expression 6x + 120 represents the total amount in the account after 6 months.
We need to factor the expression 6x + 120
We can write this as
6 x + 6 (20)
Common factor = 6 in both terms
So, 6 x + 6 (20) = 6(x+20)
Hence, Factorization of 6x + 120 = 6(x+20)
Simple Interest Formulas and Calculations:
Calculate Total Amount Accrued (Principal + Interest), solve for A. A = P(1 + rt)
Calculate Principal Amount, solve for P. P = A / (1 + rt)
Calculate rate of interest in decimal, solve for r. r = (1/t)(A/P - 1)
Calculate rate of interest in percent. ...
Calculate time, solve for t.
https://www.calculatorsoup.com › si...
(Distribute the minus sign of the subtrahend in each term.)
= 8r⁶s³ – 9r⁵s⁴ + 3r⁴s⁵ – 2r⁴s⁵ + 5r³s⁶ + 4r⁵s⁴
(Add or subtract like terms.)
= 8r⁶s³ – 5r⁵s⁴ + r⁴s⁵ + 5r³s⁶
(If you want to factor out, then...)
= r³s³ (8r³ – 5r²s + rs² + 5s³)
