Which expression is equivalent to −1.3+(−4.9)+(−2.6) ?

What is an equation of the line that passes through the points (-4, -1)(−4,−1) and (6, -1)(6,−1)?

Vlada [557]

$\boxed{y=-1}$

<h2>Explanation:</h2>

In order to solve this problem, let's remember the point-slope form of the equation of a line:

$y-y_{1}=m(x-x_{1}) \\ \\ m:slope \\ \\ (x_{1},y_{1}):A \ point \ on \ the \ line$

We know two points:

$(x_{1},y_{1})=(-4, -1) \\ \\ (x_{2},y_{2})=(6, -1)$

So:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ \\ m=\frac{-1-(-1)}{6-(-4)} \\ \\ m=0$

So this is a constant line (slope equals zero). Therefore, every point has a y-coordinate $y=-1$ . In other words, the equation is:

$\boxed{y=-1}$

<h2>Learn more:</h2>

Equation of lines: brainly.com/question/13015874

#LearnWithBrainly

5 0

2 years ago

Suppose the true proportion of students at a college who study abroad is 0.25. I select a random sample of 40 students from the

Julli [10]

Answer:

$\mu_{\hat p} = 0.25$

$\sigma_{\hat p}= \sqrt{\frac{0.25*(1-0.25)}{40}}= 0.0685$

$z = \frac{0.2-0.25}{0.0685}= -0.730$

And we can use the normal standard distribution or excel to find this probability and we got:

$P(\hat p$

Step-by-step explanation:

We define the parameter as the proportion of students at a college who study abroad and this value is known $p =0.25$ , we select a sample size of n =40 and we are interested in the probability associated to the sample proportion, but we know that the distirbution for the sample proportion is given by:

$\hat p \sim N(p , \sqrt{\frac{p(1-p)}{n}}$

And the paramters for this case are:

$\mu_{\hat p} = 0.25$

$\sigma_{\hat p}= \sqrt{\frac{0.25*(1-0.25)}{40}}= 0.0685$

We want to find the following probability:

$P(\hat p< 0.2)$

For this case since we know the distribution for the sample proportion we can use the z score formula given by:

$z = \frac{\hat p -\mu_{\hat p}}{\sigma_{\hat p}}$

Replacing the info given we got:

$z = \frac{0.2-0.25}{0.0685}= -0.730$

And we can use the normal standard distribution or excel to find this probability and we got:

$P(\hat p$

8 0

2 years ago

What is 245 the the power of 8?

vlabodo [156]

Answer:

1.2981614e+19

Step-by-step explanation:

you can always use a calculator for powers.

7 0

2 years ago

Lines a and b are parallel. line c is perpendicular to both line a and line B. Which statement about lines a,b and C is not true

7nadin3 [17]

When lines are parallel, they have the same slope, so the statement "line a and line b have the same slope" is TRUE

When lines are perpendicular, the slopes are opposites (the sign and number is flipped)

For example:

slope is 2

perpendicular line's slope is -1/2

slope is -1

perpendicular line's slope is 1/1 or 1

slope is 4/5

perpendicular line's slope is -5/4

When you multiply(the product) perpendicular slopes together, they equal -1. Since line c is perpendicular to line a and line b, the product of their slopes is -1.(so this is true)

The statement "the sum of the slopes of line a and b is 0" is false because if they have the same slope, when added together the result would not be 0. The slopes of line a and line b is -2/3, so the sum would be -4/3.

7 0

2 years ago

Read 2 more answers

Evaluate each expression if: k = 2, m = 7, n = 4.<br> 1) 6m - 3k 2)<br> 23) m + |2m - kl

guapka [62]

6m-3k²
= 6(7) - 3 (2)²
= 42 - 3(4)
= 42 - 12
= 30

m + | 2m-k|

7 + | 2(7) - 2|

7 + | 14-2|

7 + 12

= 19

7 0

2 years ago