All categories

2 years ago

1. How can a table be used to find the rate of change and the initial value? Describe the process.

Mathematics

1 answer:

rodikova [14]2 years ago

4 0

Answer:

1. Pattern. 2. I don't know that one

Step-by-step explanation:

For finding the rate with a table all you do is look how far the numbers are jumping each time. Example: x: 1, 3, 5, 7, 9 y: 2, 4 ,6 ,8 , 10

Both the x and y follow a pattern, though its not the same, its still a pattern

(The Constant rate of change for x is 2 as it goes up 2 every time and the constant rate of change for y is also 2 as it goes up by 2 every time

You might be interested in

A certain kind of sheet metal has, on average, 3 defects per 18 square feet. Assuming a Poisson distribution, find the probabili

Fofino [41]

Answer:

75.8% probability that a 31 square foot metal sheet has at least 4 defects.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given time interval.

In this problem, we have that:

3 defects per 18 square feet.

So for 31 square feet, we have to solve a rule of three

3 defects - 18 square feet

x defects - 31 square feet

$18x = 3*31$

$x = \frac{31*3}{18}$

$x = 5.17$

So $\mu = 5.17$

Assuming a Poisson distribution, find the probability that a 31 square foot metal sheet has at least 4 defects.

Either it has three or less defects, or it has at least 4 defects. The sum of the probabilities of these events is decimal 1.

$P(X \leq 3) + P(X \geq 4) = 1$

We want $P(X \geq 4)$

$P(X \geq 4) = 1 - P(X \leq 3)$

In which

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)$

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-5.17}*(5.17)^{0}}{(0)!} = 0.0057$

$P(X = 1) = \frac{e^{-5.17}*(5.17)^{1}}{(1)!} = 0.0294$

$P(X = 2) = \frac{e^{-5.17}*(5.17)^{2}}{(2)!} = 0.0760$

$P(X = 3) = \frac{e^{-5.17}*(5.17)^{3}}{(3)!} = 0.1309$

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0057 + 0.0294 + 0.0760 + 0.1309 = 0.242$

Finally

$P(X \geq 4) = 1 - P(X \leq 3) = 1 - 0.242 = 0.758$

75.8% probability that a 31 square foot metal sheet has at least 4 defects.

8 0

3 years ago

What is >>>>> -x<15-2x

Gemiola [76]

$-x$

7 0

2 years ago

( 4 a6b4 )2 × 1/2 a3b

statuscvo [17]

The answer would probably be 288a2 b2

3 0

3 years ago

80 members decreased by 65%

mrs_skeptik [129]

The answer would be 28 because....

First, you would multiply 80 and .65 (changed the percentage to decimal) which is 52

Then, subtract 80 and 52 to get 28

4 0

2 years ago

How to solve 9x-2y=19

frozen [14]

Simplifying 9x + -2y = 19 Solving 9x + -2y = 19 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2y' to each side of the equation. 9x + -2y + 2y = 19 + 2y Combine like terms: -2y + 2y = 0 9x + 0 = 19 + 2y 9x = 19 + 2y Divide each side by '9'. x = 2.111111111 + 0.2222222222y Simplifying x = 2.111111111 + 0.2222222222y

6 0

2 years ago