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Write an algebraic rule for the trend line. Report your rule in slope intercept form.

Tju [1.3M]

Answer:

y = 5x + 20

Step-by-step explanation:

Here, we want to find the slope intercept form equation of the trend line

The general form is:

y =

mx + b

b is slope and m

is the y-intercept

b = 20

To get the slope, we select any two points and use the slope formula

we have the points;

(10,70) and (5,45)

The slope formula is;

m = (y2-y1)/(x2-x1) = (45-70)/(5-10) = -25/-5 = 5

The equation of the line is thus;

y = 5x + 20

4 0

3 years ago

Solve for x.

Ivanshal [37]

Answer:

x = -3.25

Step-by-step explanation:

2/5 = 0.4

0.4x - 0.2 = -2(3/4)

-2(3/4) = -2/1 * 3/4 = -6/4

0.4x - 0.2 = -6/4

Convert to fraction

2/5x - 1/5 = -6/4

Add 1/5 to both sides

-6/4 + 1/5 = -30/20 + 4/20 = -26/20

2/5x = -26/20

Convert to decimal

0.4x = -1.3

-1.3/0.4 = -3.25

x = -3.25

8 0

2 years ago

One light-year equals 5.9 x 1012 miles. How many light-years are in 6.79

inna [77]

Option B

The number of light years in $6.79 \times 10^{16}$ miles is 11508 light years

Solution:

Given that,

One light-year equals 5.9 x 10^12 miles

Therefore,

$1 \text{ light year } = 5.9 \times 10^{12} \text{ miles }$

To find: Number of light years in $6.79 \times 10^{16}$ miles

Let "x" be the number of light years in $6.79 \times 10^{16}$ miles

Then number of light years in $6.79 \times 10^{16}$ miles can be found by dividing $6.79 \times 10^{16}$ miles by miles in 1 light year

$\text{Number of light years in } 6.79 \times 10^{16} miles = \frac{6.79 \times 10^{16}}{5.9 \times 10^{12}}\\\\\text{Use the law of exponent }\\\\\frac{a^m}{a^n} = a^{m-n}\\\\\text{Number of light years in } 6.79 \times 10^{16} miles = \frac{6.79}{5.9} \times 10^{16-12}\\\\\text{Number of light years in } 6.79 \times 10^{16} miles = 1.1508 \times 10^4\\\\\text{Number of light years in } 6.79 \times 10^{16} miles = 11508$

Thus number of light years in $6.79 \times 10^{16}$ miles is 11508 light years

3 0

3 years ago

When y=-2, what kind of line does it have horizontal or vertical

Rashid [163]

Answer: Horizontal

Step-by-step explanation: The equation y = -2 can be thought of as y = 0x - 2. So our line has a slope of 0 and a y-intercept of -2.

To graph it, we start with the y-intercept, down 2 units on the y-axis. Now, if the slope of a line is 0, then the line must be flat or horizontal.

So we just draw a horizontal line through the y-intercept of -2.

In fact, when the equation of any line reads y = a number, it's graph will always be a horizontal line. For example, y = 3, y = -10, y = -8 and so on.

Image provided below.

8 0

3 years ago

Describe how the variability of the distribution changes as the sample size increases. As the sample size increases, the variabi

wolverine [178]

Answer:

As the sample size increases, the variability decreases.

Step-by-step explanation:

Variability is the measure of actual entries from mean. The less the deviations the less would be the variance.

For a sample of size n, we have by central limit theorem the mean of sample follows a normal distribution for random samples of large size.

X bar will have std deviation as $\frac{s}{\sqrt{n} }$

where s is the square root of variance of sample

Thus we find the variability denoted by std deviation is inversely proportion of square root of sample size.

Hence as sample size increases, std error decreases.

As the sample size increases, the variability decreases.

7 0

4 years ago