Answer:
The function is decreasing in the following intervals
A. (0, 1)
C. (2, pi)
Step-by-step explanation:
To answer this question, imagine that you draw lines of slope m parallel to the function shown at each point.
-If the slope of this line parallel to the function is negative for those points then the function is decreasing.
-If the slope of this line parallel to the function is positive for those points then the function is increasing.
Observe in the lines drawn in the attached image. You can see that they have slope less than zero in the following interval:
(0, 1) U (2, pi)
Therefore the correct option is:
A. (0, 1)
C. (2, pi)
Answer:
The value of x = 2 it done by simplification method
The probability that the card is not yellow is ![\frac{5}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B9%7D)
<em><u>Solution:</u></em>
<em><u>The probability of an event is given as:</u></em>
![Probability = \frac{ \text{ number of favorable outcomes }}{ \text{ total number of possible outcomes }}](https://tex.z-dn.net/?f=Probability%20%3D%20%5Cfrac%7B%20%5Ctext%7B%20number%20of%20favorable%20outcomes%20%7D%7D%7B%20%5Ctext%7B%20total%20number%20of%20possible%20outcomes%20%7D%7D)
From given,
A box is filled with 8 blue cards, 8 yellow cards, and 2 green cards
Total number of possible outcomes = 8 + 8 + 2 = 18
Favorable outcome = card is not yellow
Favorable outcome = card is blue or green = 8 + 2 = 10
Therefore,
![Probability = \frac{10}{18}\\\\Probability = \frac{5}{9}](https://tex.z-dn.net/?f=Probability%20%3D%20%5Cfrac%7B10%7D%7B18%7D%5C%5C%5C%5CProbability%20%3D%20%5Cfrac%7B5%7D%7B9%7D)
Thus the probability that the card is not yellow is 5/9
Answer:
54 one-third acre lots
Step-by-step explanation:
24 - 6 = 18
18 ÷ 1/3 = 18 × 3 = 54