Answer:
For 99% of confidence interval is 67.5±1.3524
Step-by-step explanation:
Given:
Mean height =67.5 inches
Standard deviation:2.1 inches
Z at 99%.
No of samples 16.
To find:
confidence interval
Solution:
We have formula for confidence interval,
=mean ±Z*{standard deviation/sqrt(no.of observation)}
Now
Z=99%
has standard value as ,
Z=2.576
Confidence interval= mean±Z{standard deviation/sqrt(No. of samples)}
=67.5±2.57{(2.1/sqrt(16)}
=67.5±2.576(2.1/4)
=67.5±1.3524
Well if it is a number like .933333333 you will have to round it, So now it is .93 and .93 in a fraction is 93/100
So you know the whole line is XZ which is 83.Then you find out it is in two parts so that is XY and YZ which are 11 and 4c. You can make the equation:
11+4c=83
4c=72
c=18
c=18 and YZ=72
Number 1 is 32 and the second one is 85
Answer:
3rd option
Step-by-step explanation:
Given
x³ - 7x² - 5x + 35 ( factor the first/second and third/fourt terms )
= x² (x - 7) - 5(x - 7) ← factor out (x - 7) from each term
= (x² - 5)(x - 7)