In order to draw x ≤ -10 on a number line, first draw a closed dot at -10. This is because we have a ≤ and not a <. If we had a <, it would be an open dot.
Next, since we want x to be smaller, draw an arrow pointing towards all numbers that are smaller. This arrow would point to the left.
Answer:
For every 1000 pairs sold, the manufacturer expect to replace 239 pairs for free.
Step-by-step explanation:
Given:
Mean (μ) = 2.2, Standard deviation(S.D) (σ) = 1.7 years and x = 1 (1 year)
Let's find the Z score.
Z = ![\frac{x - mean}{S.D}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%20-%20mean%7D%7BS.D%7D)
Now plug in the given values in the above formula, we get
Z = ![\frac{1 - 2.2}{1.7} = -0.71](https://tex.z-dn.net/?f=%5Cfrac%7B1%20-%202.2%7D%7B1.7%7D%20%3D%20-0.71)
Now we have to use the z-score table.
The z-score for 0.71 is 0.2611
Since it z is negative, so we subtract 0.2611 from 0.5000
0.5000 - 0.2611 = 0.2389
Percentage = 0.2389 × 100 = 23.89%
To find replaces for 1000 pairs, we need to multiply 23.89% by 1000
= ![\frac{23.89}{100} .1000 = 238.9](https://tex.z-dn.net/?f=%5Cfrac%7B23.89%7D%7B100%7D%20.1000%20%3D%20238.9)
= 239
The cannot be in decimal, when we round off to the nearest whole, we get
239
9514 1404 393
Answer:
30°
Step-by-step explanation:
Consecutive interior angles are supplementary when the lines are parallel:
2x +4x = 180°
x = 180°/6
x = 30°
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<em>Comment on units</em>
A lot of times the angles are assumed to be measured in degrees. Using that assumption, x=30 (degrees). When no units are specified, the angle measure defaults to radians. In radians, x = π/6. (We rarely see problems of this nature where the angles are expected to be measured in radians. More often, we see poorly edited questions where angles need to be assumed to be measured in degrees.)
Do you know the numbers a/b equals too