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2 years ago

What is the additive inverse of (- 2) ?

Mathematics

1 answer:

Evgesh-ka [11]2 years ago

6 0

Answer:

2 because it holds the same value as -2 and its the additive inverse

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The distance versus time plot for a particular object shows a quadratic relationship. Which column of distance data is possible

Viktor [21]

Answer:

(A) column A

Step-by-step explanation:

The distance values in column A are:

0, 1, 4, 9, 16, 25 and 36

If you just look at these values, these are the squares of 0, 1, 2, 3, 4, 5 and 6 which shows that distance in column A versus time would show a quadratic plot.

For the values showing a quadratic relationship, the second differences in the values are constant. This means, if we find the differences of two consecutive terms for all the terms and then find the difference of the answers resulted in previous step, these should be a constant for the quadratic function.

Differences in the values of Columns A are:

1, 3, 5, 7, 9, 11

The difference in these differences are:

2, 2, 2, 2, 2

which is a constant. Since, the difference is being calculated two times, it is known as second difference. The second difference must be constant for a quadratic relationship. For the other columns, the second differences are not constant.

Therefore, the correct answer is option A.

3 0

2 years ago

Suppose box A contains 4 red and 5 blue poker chips and box B contains 6 red and 3 blue poker chips. Then a poker chip is chosen

sergejj [24]

Answer:

0.5172 = 51.72% probability a blue poker chip was transferred from box A to box B, given that the coin just chosen from box B is red

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Coin chosen from box B is red.

Event B: Blue poker chip transferred.

Probability of choosing a red coin:

7/10 of 4/9(red coin from box A)

6/10 of 5/9(blue coin from box A). So

$P(A) = \frac{7}{10}*\frac{4}{9} + \frac{6}{10}*\frac{5}{9} = \frac{28 + 30}{90} = 0.6444$

Blue chip transferred, red coin chosen:

6/10 of 5/9. So

$P(A \cap B) = \frac{6}{10}*\frac{5}{9} = \frac{30}{90} = 0.3333$

What is the probability a blue poker chip was transferred from box A to box B, given that the coin just chosen from box B is red?

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.3333}{0.6444} = 0.5172$

0.5172 = 51.72% probability a blue poker chip was transferred from box A to box B, given that the coin just chosen from box B is red

5 0

2 years ago

John played a note on his tuba that vibrated the air 120 times per second. If you play the note for 4 seconds, how many times in

Zigmanuir [339]

480

This is this awnser because its 120 a second, for 4 seconds so 4 times 120 = 480.

4 0

3 years ago

Read 2 more answers

Derive this equation <br>In (3-4Cosx)

pantera1 [17]

Answer:

4sin(x)

Step-by-step explanation:

That is the new equation hope it helps!

6 0

2 years ago

I need help with all three letters. thank u

creativ13 [48]

Answer:

Step-by-step explanation:

A to C

y = b + mx

b = y-intercept

m = slope of line

Looking at the line, the line crosses the y-axis at the coordinates (0,0). This means that the y-intercept is 0.

The slope formula is m=(y2-y1)/(x2-x1). Using the points on the line (-1, -3) and (1,3) we find that the slope is, 3.

Looking back we can see that our variables now have value so we can plug them into our formula.

y = b + mx

b = 0

m = 3

Substitute

y = 0 + 3x

4 0

2 years ago