Answer:
The dilation scale factor is
.
Step-by-step explanation:
The image is the dilated form of its preimage if and only if the following conditions are observed:
1) 
2) 
3) 
4) 
5) 
If we know that
,
,
,
,
,
,
and
, then the coefficients are, respectively:
,
,
, 
As
, we conclude that the dilation scale factor applied in the preimage is equal to
.
Answer:
The student who weighted the rock 5 times has a 95% confidence interval of (25.2, 29.1) which is guaranteed to be more wider (less precise) than the other student who weighted the rock 20 times.
Step-by-step explanation:
What is Confidence Interval?
The confidence interval represents an interval that we can guarantee that the target variable will be within this interval for a given confidence level.
The confidence interval is given by

Where
is the mean weight
is the standard deviation
is the critical value from t-table and n is the sample size.
The term
is known as margin of error.
As the sample size is decreased the corresponding margin of error increases which results in wider confidence interval which means smaller precision.
The student who weighted the rock 5 times has a 95% confidence interval of (25.2, 29.1) which is guaranteed to be more wider (less precise) than the other student who weighted the rock 20 times.
We can say with 95% confidence that the true mean weight of the rock is within the interval of (25.2, 29.1).
= <span>(-8x - 9)(-9x2 + 7x - 9)
= 72x</span>³ - 56x² + 72x + 81x² - 63x + 81
= 72x³ + 25x² + 9x + 81
In short, Your Answer would be: Option D
Hope this helps!
Answer:
1 Answer->3
Step-by-step explanation:
To factor this out find the factors of 9 which add up to 6.
3 and 3 work therefore factor it out to
(x+3)(x+3)=0
Using Zero product property x is equal to -3
And there is only one answer which is 3