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2 years ago

Find the slope and y-intercept of -x + 2y = 3. I need help on working this problem out

Mathematics

1 answer:

natita [175]2 years ago

6 0

Answer:

So the slope of this function is $\frac{1}{2}$ and the y-intercept is $\frac{3}{2}$

Step-by-step explanation:

A first order function has the following format:

$y = ax + b$

In which a is the slope and b is the y-intercept, that is, the value of y when x = 0.

We have the following equation:

$-x + 2y = 3$

We just have to rewrite this equation

$2y = x + 3$

$y = \frac{x+3}{2}$

$y = \frac{x}{2} + \frac{3}{2}$

Which means that

$a = \frac{1}{2}, b = \frac{3}{2}$

So the slope of this function is $\frac{1}{2}$ and the y-intercept is $\frac{3}{2}$

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Grasshoppers are distributed at random in a large field according to a Poisson process with parameter a 5 2 per square yard. How

HACTEHA [7]

In this question, the Poisson distribution is used.

Poisson distribution:

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 interval.

Parameter of 5.2 per square yard:

This means that $\mu = 5.2r$ , in which r is the radius.

How large should the radius R of a circular sampling region be taken so that the probability of finding at least one in the region equals 0.99?

We want:

$P(X \geq 1) = 1 - P(X = 0) = 0.99$

Thus:

$P(X = 0) = 1 - 0.99 = 0.01$

We have that:

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

$P(X = 0) = \frac{e^{-5.2r}*(5.2r)^{0}}{(0)!} = e^{-5.2r}$

Then

$e^{-5.2r} = 0.01$

$\ln{e^{-5.2r}} = \ln{0.01}$

$-5.2r = \ln{0.01}$

$r = -\frac{\ln{0.01}}{5.2}$

$r = 0.89$

Thus, the radius should be of at least 0.89.

Another example of a Poisson distribution is found at brainly.com/question/24098004

3 0

2 years ago

The only solution to |r+3|=1 is -2? true or false

ikadub [295]

True! The absolute Value is just the value of the digit. -2+3=-1. The absolute value of -1 is 1. There is no other combination of numbers that would lead to this answer.

7 0

2 years ago

Read 2 more answers

Which function has x-intercepts of 3 and 8 and contains the point (–1, –2)?

mojhsa [17]

This is how you do it.

y = a(x - 3)(x - 8)
-2 = a(-1 - 3)(-1 - 8) 
-2 = 36a 
- 1 / 18 = a 
y = ( - 1 / 18)(x^2 - 11x + 24) 
y = (- 1 / 18)x^2 + (11 / 18)x - (3 / 2)

If this doesn't explain it enough, please, ask questions.

6 0

3 years ago

Which expressions are equivalent to ( 10 x 18) + (10 x s)

kolezko [41]

Answer:

10×18=180

180+(10s)

if it is equal to zero

s is -18

4 0

2 years ago

17. Evaluate each pair of expressions. a. (-3)-8 and -3-8 b. (-3)-9 and -3-9

Semmy [17]

A = -11
B= -12

This is because of how calculations work in negatives. Because they are both negative they work similarly to addition

5 0

2 years ago

Find the slope and y-intercept of -x + 2y = 3. I need help on working this problem out​

Find the slope and y-intercept of -x + 2y = 3. I need help on working this problem out