1.6 × 1.6 × 1.6 × 1.6 = 6.5536
<span>The answer: b. translated according to the rule (x, y) → (x + 8, y + 2) and reflected across the x-axis
If you make the drawing of the situation you realize the you need a reflection through the x-axis, but first you need to translate the polygon several units to the left and upward.
You can see that all the x-coordinates have increased 8 units, so the solution has to include x + 8.
Also, you see that you have to move the polygon 2 units upward before doing the reflection so the solution has to include y + 2.
So, the answer is (x,y) ---> (x + 8, y + 2) and then reflection across the x-axis.
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Answer:
5%
Step-by-step explanation:
The 68-95-99.7 rule for the Normal distribution is an empirical rule that remind us the percentages of data that falls between the mean ± 1, ± 2 and ± 3 standard deviations.
That is to say, if the mean is m and the standard deviation s, roughly speaking 68% of the data falls between [m-s, m+s], 95% between [m-2s, m+2s] and 99.7% between [m-3s, m+3s].
Since the mean is 3.0005 and the standard deviation is s=0.0010, 2s=0.0020, 95% of the data should fall between [3.0005-0.0020, 3.0005+0.0020] and 5% outside this interval. So <em>around 5% of total production will be scrap</em>.
Answer:
x = 28
m<ABC = 57°
Step-by-step explanation:
✔️(2x + 1)° + 33° = 90° (complementary angles)
Solve for x
2x + 1 + 33 = 90
Add like terms
2x + 34 = 90
2x = 90 - 34 (subtraction property of equality)
2x = 56
Divide both sides by 2
x = 28
✔️m<ABC = 2x + 1
Plug in the value of x
m<ABC = 2(28) + 1
= 56 + 1
m<ABC = 57°
Answer:
y – 8 = –0.2(x + 10)
Step-by-step explanation:
