Answer:
![\boxed {\boxed {\sf B. \ \frac{8}{13} }}](https://tex.z-dn.net/?f=%5Cboxed%20%7B%5Cboxed%20%7B%5Csf%20B.%20%5C%20%5Cfrac%7B8%7D%7B13%7D%20%7D%7D)
Step-by-step explanation:
Probability is found by dividing the number of favorable outcomes by the total number of outcomes.
![P= \frac{favorable \ outcomes}{total \ outcomes}](https://tex.z-dn.net/?f=P%3D%20%5Cfrac%7Bfavorable%20%5C%20outcomes%7D%7Btotal%20%5C%20outcomes%7D)
For this problem, the favorable outcome is selecting a blue or green marble. There are 8 outcomes for this because there are 6 outcomes for blue and 2 fr green.
The total outcomes are all the marbles. Each marble could be an outcome, so there are 13 outcomes (1 for each marble).
![P(blue \ or \ green) = \frac{8}{13}](https://tex.z-dn.net/?f=P%28blue%20%5C%20or%20%5C%20green%29%20%3D%20%5Cfrac%7B8%7D%7B13%7D)
This fraction cannot be reduced, so the probability of selecting a blue or green marble is <u>8/13.</u>
Answer:
Unit rate in grams of drink mix per ounce of water = 11 gram / ounces
Step-by-step explanation:
Given:
Amount of drink mix = 19 (1 /4) gram = 19.25 gram
Amount of water = 1 (3 /4) ounces = 1.75 ounces
Find:
Unit rate in grams of drink mix per ounce of water = ?
Computation:
⇒ Unit rate in grams of drink mix per ounce of water = Amount of drink mix / Amount of water
⇒ Unit rate in grams of drink mix per ounce of water = 19.25 / 1.75
⇒ Unit rate in grams of drink mix per ounce of water = 11 gram / ounces
Answer:
After increasing their employees by 18% they will now have 531 total employees.
Step-by-step explanation:
0.18 x 450 = 81
81 + 450 = 531
To determine the system of inequality that has been graphed, we need to be very smart.
Observe that all the equations are the same.
Also note that all the lines are solid. This should tell you that the inequities should involve.
![\ge \:or\: \le](https://tex.z-dn.net/?f=%5Cge%20%5C%3Aor%5C%3A%20%5Cle)
Therefore the answer is between option A and B.
So we choose a point in the solution region to discriminate between A and B.
Let us choose the origin since that is easy to evaluate.
We substitute into option A to get.
![y\le 3x-1\:and\: x+ 3y \ge 6](https://tex.z-dn.net/?f=y%5Cle%203x-1%5C%3Aand%5C%3A%20x%2B%203y%20%5Cge%206)
![0\le 3(0)-1\:and\: 0+ 3(0) \ge 6](https://tex.z-dn.net/?f=0%5Cle%203%280%29-1%5C%3Aand%5C%3A%200%2B%203%280%29%20%5Cge%206)
![0\le -1\:and\: 0\ge 6](https://tex.z-dn.net/?f=0%5Cle%20-1%5C%3Aand%5C%3A%200%5Cge%206)
The above statements are false
We now substitute into option B
![y\ge 3x-1\:and\: x+ 3y \le 6](https://tex.z-dn.net/?f=y%5Cge%203x-1%5C%3Aand%5C%3A%20x%2B%203y%20%5Cle%206)
![0\ge 3(0)-1\:and\: 0+ 3(0) \le 6](https://tex.z-dn.net/?f=0%5Cge%203%280%29-1%5C%3Aand%5C%3A%200%2B%203%280%29%20%5Cle%206)
![0\ge-1\:and\: 0 \le 6](https://tex.z-dn.net/?f=0%5Cge-1%5C%3Aand%5C%3A%200%20%5Cle%206)
Both statements are true, therefore the correct answer is option B.
The surface area of a sphere is given by
![A=4 \pi r^{2}](https://tex.z-dn.net/?f=A%3D4%20%5Cpi%20%20r%5E%7B2%7D%20)
where r represents the radius.
As the radius is given as 60 meters we replace r with 60 in the formula above to get the surface area.