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3 years ago

Find the equation of the line using the info given and write the answers in slope – intercept form.

Mathematics

2 answers:

Fittoniya [83]3 years ago

8 0

Step-by-step explanation:

Step 1: Find the slope of the new line

To find the slope of a line perpendicular, you need to find the opposite reciprocal. Which means that you flip the sign and put the number over 1.

Opposite → $y = -3$ → y = 3

Reciprocal → $y = 3$ → $y = \frac{1}{3}$

Step 1: Find the line

$(y-y_0) = m(x - x_0)$

$(y - 5) = \frac{1}{3}(x - 2)$

$y - 5+5 = \frac{1}{3}x-\frac{2}{3}+5$

$y=\frac{1}{3}x+\frac{13}{3}$

Answer: $y=\frac{1}{3}x+\frac{13}{3}$

Murrr4er [49]3 years ago

4 0

Answer:

y - 5 = 0(x - 2)

y - 5 = 0

y = 5

Step-by-step explanation:

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The value of x in the expression 2x/3 - 7 = 5 is

Andrej [43]

Answer:

The answer is X = 18

Step-by-step explanation:

2x/3 - 7 = 5

Multiply both sides if the equation by 3 : 2x - 21 = 15

Move the constant to the right hand side and change its sign : 2x = 15 + 21

Calculate 2x = 15 + 21

2x = 36

Divide both sides of the eqaution by 2 : 2x = 36

x = 18

Answer X = 18

3 0

3 years ago

Inferential statistics allow you to decide whether a difference between the experimental and the control group is due to:_______

den301095 [7]

Answer:

Option (A)

Step-by-step explanation:

There are 2 main branches of statistics. They are:

1. Descriptive Statistics

2. Inferential Statistics

Descriptive statistics describes the characteristics of observed subjects or items while Inferential statistics makes inferences, based on given or derived data.

Inferential Statistics allow you to decide whether a difference between the experimental group and control group is due to manipulation or chance.

The Experimental group is the group that an effect is tested on while the Control group is the group that is left untested or uninfluenced. Inferential statistics allow you to decide whether a difference between these 2 groups is due to

- manipulation or interference by any force (which may be the experimenter/researcher)

- probability which is chance.

5 0

3 years ago

What is the median of the dot plot for 4,6,6,7,9

jeka57 [31]

Answer:

Step-by-step explanation:

6 is in the middle with 2 numbers on each side so it is the medium

8 0

2 years ago

If you want to be 95% confident of estimating the population mean to within a sampling error of plus or minus3 and the standard

Aleksandr [31]

Answer:

The sample size required is at least 171

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.025 = 0.975$ , so $z = 1.96$

Now, find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

What sample size is required?

A samle size of at least n is required, in which n is found when $M = 3, \sigma = 20$

$M = z*\frac{\sigma}{\sqrt{n}}$

$3 = 1.96*\frac{20}{\sqrt{n}}$

$3\sqrt{n} = 20*1.96$

$\sqrt{n} = \frac{20*1.96}{3}$

$(\sqrt{n})^{2} = (\frac{20*1.96}{3})^{2}$

$n = 170.7$

Rouding up

The sample size required is at least 171

5 0

2 years ago

The bacteria in an old piece of cheese is growing at a rate that can be modeled by y = 280 • 2^x. Determine which number represe

Katyanochek1 [597]

The answer is C.) 2

The general form of formula is
y = a • r^x
y - the total number of bacteria after x period of time
a - the initial number of bacteria
r - growth rate
x - period of time

Let's compare:
y = a • r^x
y = 280 • 2^x

Since r = 2, the growth rate is C.) 2

5 0

3 years ago

Read 2 more answers