Step-by-step explanation:
step 1. mPOS = 180 - 125 = 55° (supplementary angles)
step 2. mQOS = 125° (vertical angles)
step 3. mQOR = 55° (supplementary angles).
Answer:

Step-by-step explanation:
Average life of electric bulbs = 300 hrs
standard deviation = 45
Total no of bulbs tested = 100
Probability that sample mean is less than 295 =?
Using Central Limit Theorem

From table of normal distribution:

<span>(x - 2)(x - 3) = 2
x^2 - 2x - 3x + 6 - 2 = 0
x^2 - 5x + 4 = 0
(x -4)(x - 1) = 0
x - 4 = 0; x = 4
x - 1 = 0; x =1
{1,4}
answer
</span><span>{1, 4}</span>
We know there is 330 mg of caffeine per 16-ounce serving. So if we want 8-ounce servings:
330 mg : 2 = 165 mg
Also we have to consume a maximum of 600 mg.
165 mg * 3 = 495 mg < 600 mg
165 mg * 4 = 660 mg > 600 mg
Answer: Someone could drink 3 full 8-ounce servings in a day and still stay below the limit.
<span>The pair of integers that I chose are:
(a) sum is –3
5 + (-8) = -3
(b) difference is –5
2 - 7 = -5
(c) difference is 2
14 -12 = 2
(d) sum is 0
2 - 2 = 0</span>