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Mathematics

1 answer:

NNADVOKAT [17]3 years ago

5 0

Answer:

1 = A, D 2 = B, C, D . 3 = True . 5 = D . 11 = C, D E

Step-by-step explanation:

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Suppose that 3 balls will be randomly put into 3 buckets, with each ball being equally likely to be put into each of the buckets

Yuliya22 [10]

Answer:

$\frac{1}{27}$

Step-by-step explanation:

Since there are a total of three buckets and only one can be chosen at a time, this would mean that the probability of a ball being placed in a bucket is 1/3. Since each ball has the same probability of being placed into any bucket regardless of the where the previous ball landed, it means that each ball has the same 1/3 probability of a bucket. In order to find the probability that all three land in the same bucket, we need to multiply this probability together for each one of the balls like so...

$\frac{1}{3} * \frac{1}{3} * \frac{1}{3} = \frac{1}{27}$

Finally, we see that the probability of all three balls landing in the same bucket is $\frac{1}{27}$

8 0

3 years ago

A frog leaps 24 inches. The highest point in the jump is 6 inches. Assume the frog starts at (0,0). What quadratic function mode

Ivanshal [37]

The path is in the shape of a parabola, the horizontal length is 24, so the middle point is at x=12, the symmetry line is x=12, the highest point (the vertex) is at (12,6)
the equation in vertex form is y=a(x-12)²+6
next, find a by using either one of the two points, the starting point (0,0) or the end point (0,24). obviously (0,0) is easier to calculate:
0=a(0-12)² +6
a=-1/24
so the quadratic equation is y=- $\frac{1}{24} (x-12)^2+6$