Answer:
Option B is the correct answer
Step-by-step explanation:
Center of the circle lie on point (-1, - 3) = (h, k)
Answer:
2πrh unit^2.
Step-by-step explanation:
The lateral area is the circumference of the base * the height = 2πrh.
answer:
mean: 15.8
median: 12
mode: no mode
range: 27
step-by-step explanation:
- first know how to find each of the above and what they are
- mean = (avg) add all the numbers, then divide by the number of numbers
- median = the middle number from increasing order
- mode = the one that repeats the most
- range = the difference between the largest and smallest number
8, 35, 10, 12, 14
<u>mean</u>
8 + 35 + 10 + 12 + 14 = 79
79 / 5 = 15.8
<u>median</u>
- put them from smallest to largest
8, 10, 12, 14, 35
- 12 is the median OR the middle number
<u>mode</u>
- no number repeat, so no mode
<u>range</u>
35 - 8 = 27
The square of a binomial expands as follows:
Expanding all the binomials, we have
Sum like terms:
Simplify terms appearing on both sides:
Move all terms involving k to the left and all numbers to the right:
Divide both sides by -20:
When you go into this problem, you want to figure out your marble ammount to 50 so in this case we will say C for color and 50 for the total ammount of marbles.
We know 15 are pink, 8 are black, 2 are green, 18 are clear, and 7 are striped
15P/50
8B/50
2G/50
18C/50
7S/50 for a total of 50 marbles
Now we use the chart to decide our awnsers
A. We know our propability of drawing a green and clear is 20/50 which if we simplify is a 2/5 ratio. If We put this in perspective 2/5 is rare and is unlikley to even.
B. We know a striped marble is 18/50 or 1.8/5 ratio which is mainly unlikely
C. We have 23/50 marbles that are black and pink, our propability is about 2.3/5 and gives us an even chance to get one of these
D. We know we have 33/50 marbles that are pink and clear and gives us a 3.3/5 chance of getting one of these and gives us an even to likely chance of getting one of these.
E. If we have a total of 17 marbles in these 3 colors, we have a 1.7/5 chance of getting one of these and is probably impossible to unlikey.