Answer:
F (4, 2) G (2, 2) H (0, -4)
Step-by-step explanation:
ANSWER: x > -6
1. subtract 12 from each side
2. divide by -3 which will make the sign flip
Answer:
D'G' = 52.5 units
Step-by-step explanation:
Since the dilatation is centred at the origin then multiply the original coordinates by the scale factor 3.5
D' = (1 × 3.5, 7 × 3.5 ) = (3.5, 24.5 )
G' = (- 8 × 3.5, - 5 × 3.5 ) = (- 28, - 17.5 )
Calculate D'G' using the distance formula
d = 
with (x₁, y₁ ) = D' (3.5, 24.5) and (x₂, y₂ ) = G' (- 28, - 17.5)
D'G' = 
= 
= 
= 
= 52.5 units
The equation that offers the best approximation to this result is:
. (Choice D)
<h3>How to find the free fall formula for a given scenario</h3>
An object experiments a free fall when it is solely accelerated by gravity on the assumption of an <em>uniform</em> acceleration. The formula is described below:
(1)
Where:
- Initial height, in feet.
- Initial speed, in feet per second.
- Time, in seconds.
- Gravitational acceleration, in feet per square second.
If we know that
,
,
,
, then the height formula is:



The equation that offers the best approximation to this result is:
. (Choice D)
To learn more on free fall, we kindly invite to check this verified question: brainly.com/question/13796105
<u>Supposing 60 out of 100 scores are passing scores</u>, the 95% confidence interval for the proportion of all scores that are passing is (0.5, 0.7).
- The lower limit is 0.5.
- The upper limit is 0.7.
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.
In which
z is the z-score that has a p-value of
.
60 out of 100 scores are passing scores, hence 
95% confidence level
So
, z is the value of Z that has a p-value of
, so
.
The lower limit of this interval is:
The upper limit of this interval is:
The 95% confidence interval for the proportion of all scores that are passing is (0.5, 0.7).
- The lower limit is 0.5.
- The upper limit is 0.7.
A similar problem is given at brainly.com/question/16807970