Answer:
1) Dilation
2) enlarge or shrink
Step-by-step explanation:
1) The shape stays the same, but the area and size change based upon the scale factor (k)
2) Dilation can shrink or enlarge something based upon a scale factor
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Answer:
2/3
Step-by-step explanation:
Answer:
15*C
Step-by-step explanation:
The temperature rises by 2.4 every 3 cycles per second. So you would have to keep the pattern going.
6 cycles p/second = 19.8*C
3 cycles p/second = 17.4*C
0 cycles p/second = 15.0*C
So, because 0 cycles means the engine is resting, 15*C would be the answer.
Answer:
y - 4 =
(x - 7)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (2, 3) and (x₂, y₂ ) = (7, 4)
m =
= 
Use either of the 2 points for (a, b)
Using (7, 4), then
y - 4 =
(x - 7) ← in point- slope form
Answer:
95% Confidence interval for the variance:

95% Confidence interval for the standard deviation:

Step-by-step explanation:
We have to calculate a 95% confidence interval for the standard deviation σ and the variance σ².
The sample, of size n=8, has a standard deviation of s=2.89 miles.
Then, the variance of the sample is

The confidence interval for the variance is:

The critical values for the Chi-square distribution for a 95% confidence (α=0.05) interval are:

Then, the confidence interval can be calculated as:

If we calculate the square root for each bound we will have the confidence interval for the standard deviation:
