The coordinates of Δxyz ⇒⇒ x(1,1) y(2,3) z(3,2)
The coordinates of Δx'y'z' ⇒⇒ x'(2,-2) y'(4,2) z'(6,0)
1. Applying the transformation of the first sentence on Δxyz
The results are ⇒⇒⇒ (2,-2) (4,2) (6,0)
2. Applying the transformation of the second sentence on Δxyz
The results are ⇒⇒⇒ (12,14) (24,38) (36,28)
3. Applying the transformation of the third sentence on Δxyz
The results are ⇒⇒⇒ (12,-36) (24,-12) (36,-24)
4. Applying the transformation of the fourth sentence on Δxyz
The results are ⇒⇒⇒ (2,-6) (4,-2) (6,-4)
By comparing the results obtained with the coordinates of Δx'y'z'
So, the correct answer is the first sentence.
<span>dilation with respect to the origin by a scale factor of 2 followed by a translation of 4 units down</span>
Answer:
Approximately 68%.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 1, standard deviation = 0.05.
Estimate the percent of pails with volumes between 0.95 gallons and 1.05 gallons.
0.95 = 1 - 0.05
1.05 = 1 + 0.05
So within 1 standard deviation of the mean, which by the Empirical Rule, is approximately 68% of values.
Answer:
its 20 inches
Step-by-step explanation:
The Answer is:
(5a2-3a+8)+(-4a2-1)+(15a+11)
The answer is 10 carrots and 5 potatoes.
