Mel has a bag containing white and yellow marbles.

Mathematics

1 answer:

damaskus [11]3 years ago

4 0

Answer:

63%

Step-by-step explanation:

A white marble was selected 41 out of 65 times, making the probability of getting white 41/65.

To convert this to percent, divide 41 by 65, then multiply by 100%.

41/65 = 0.630769 = 63% (rounded)

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Identify the function that contains the data in the following table: x -2 0 2 3 5 f(x)

Veseljchak [2.6K]

Answer:

f(x) = |x - 2| + 1

Step-by-step explanation:

When x = -2, then f(-2) = 5

The first function gives the relation equation as f(x) = |x| + 1

So, f(-2) = |-2| + 1 = 2 + 1 = 3 ≠ 5

{Since the definition of |x| is given by

|x| = x, when x ≥ 0 and |x| = - x, when x < 0}

Again, the second function gives the relation equation as f(x) = |x - 2|.

So, f(-2) = |-2 - 2| = |-4| = 4 ≠ 5

Now, the third function gives the relation equation as f(x) = |x - 2| - 1.

So, f(-2) = |-2 - 2| - 1 = |-4| - 1 = 4 - 1 = 3 ≠5

Again, the fourth function gives the relation equation as f(x) = |x - 2| + 1.

Hence, f(-2) = |-2 - 2| + 1 = |-4| + 1 = 4 + 1 = 5

Therefore, the fourth function f(x) = |x - 2| + 1 contains the given data table.

For further clarity we can check f(0) = 3, f(2) = 1, f(3) = 2 and f(5) = 4. (Answer)

6 0

4 years ago

Read 2 more answers

Very urgent!!!!!

Zinaida [17]

Answer:

number of terms=9

Step-by-step explanation:

$t_{1}=6\\t_{5}=18\\\\t_{n}=t_{1}+(n-1)d\\18=6+(5-1)d\\18-6=4d\\4d=12\\d=12/4=3\\s_{n}=162\\s_{n}=\frac{n}{2}[2t_{1}+(n-1)d]\\162=\frac{n}{2}[2(6)+(n-1)3]\\162 \times 2=n(12+3n-3)\\324=n(3n+9)\\3n^2+9n-324=0\\n^2+3n-108=0\\n^2+12n-9n-108=0\\n(n+12)-9(n+12)=0\\(n+12)(n-9)=0\\n=-12,9\\n=-12 (rejected)$