Using probability concepts, it is found that:
a) 
probability of drawing a card below a 6.
b) 
odds of drawing a card below a 6.
c) We should expect to draw a card below 6 about 4 times out of 13 attempts, which as an odd, it also 4 times for every 9 times we draw a card above 6, which is the third option.
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- A probability is the <u>number of desired outcomes divided by the number of total outcomes</u>.
Item a:
- In a standard deck, there are 52 cards.
- There are 4 types of cards, each numbered 1 to 13. Thus,
are less than 6.
Then:
probability of drawing a card below a 6.
Item b:
- Converting from probability to odd, it is:
odds of drawing a card below a 6.
Item c:
- The law of large numbers states that with a <u>large number of trials, the percentage of each outcome is close to it's theoretical probability.</u>
- Thus, we should expect to draw a card below 6 about 4 times out of 13 attempts, which as an odd, it also 4 times for every 9 times we draw a card above 6, which is the third option.
A similar problem is given at brainly.com/question/24233657
The rate of change is the slope of this line
m = (y2 - y1)/(x2 - x1) = (13 - 5)/(4 - 0) = 8/4 = 2
Answer:
Solution is invalid
Step-by-step explanation:
Let the time when they will have the same water content be x hours
At x hours;
For the first tank, the content will be;
50 + 10x
For the second;
29 + 3x
Equating both, will give us x
29 + 3x = 50 + 10x
We will get x as a negative number here
Since number of hours can not be negative, the solution is invalid
Since BD bisects angle ABC, that means angle ABD and angle CBD are equal to each other. With that set up the equation to solve for x like this:
-4x+33 = 2x+81
-2x -2x
————————
-6x +33 = 81
-33 -33
————————
-6x = 48
————- (divide by -6)
-6
x = -8
Now substitute that to ABD
-4(-8) +33
32 +33
=65
here’s CBD
2(-8) + 81
-16 + 81
=65
Finally angle ABC will be double the amount of ABD or CBD so 65 times 2 is 130.
ANSWERS: (angles)
ABD and CBD: 65
ABC: 130
Circumference=2πr
2π=2πr
r=1
area=πr^2
area=π(1)^2
area=π
