200 employees in a company and 50 of them have no insurance what’s the percentage of the employees that don’t have insurance

Find the length of line segmentAB which joins the following points.A(10, 14) and B(2,6)

Helen [10]

Answer:

The equation of the line AB is y - x -4 = 0

Step-by-step explanation:

The points are A (10,14) and B(2,6)

Now, slope of the line AB : $m = \frac{y_2 - y_1}{x_2 - x_1}$

or, $m = \frac{14 -6 }{10 - 2}$ = $\frac{8}{8} = 1$

So, slope of the equation AB = 1

Now, by SLOPE INTERCEPT FORM:

The equation of line is given as : y - y0 = m (x-x0)

So,the equation of line AB is y - 6 = 1(x-2)

or, y - 6 -x + 2 = 0

or, y - x -4 = 0

Hence, the equation of the line AB is y - x -4 = 0

5 0

3 years ago

Which polynomial correctly combines the like term and express the given polynomial in standard form

ankoles [38]

Answer:

$8mn^5 - 2m^6 + 5m^2n^4 - m^3n^3 + n^6 - 4m^6 + 9m^2n^4 - mn^5 - 4m^3n^3 = -6m^6 - mn^5 - 5m^3n^3 + 14m^2n^4 + 8mn^5 + n^6$

Step-by-step explanation:

Given

$8mn^5 - 2m^6 + 5m^2n^4 - m^3n^3 + n^6 - 4m^6 + 9m^2n^4 - mn^5 - 4m^3n^3$

Required

Correctly combine the like terms

We have:

$8mn^5 - 2m^6 + 5m^2n^4 - m^3n^3 + n^6 - 4m^6 + 9m^2n^4 - mn^5 - 4m^3n^3$

Collect like terms (in decreasing degrees of m)

$- 2m^6 - 4m^6 - mn^5- m^3n^3 - 4m^3n^3+ 5m^2n^4 + 9m^2n^4 + 8mn^5 + n^6$

$-6m^6 - mn^5 - 5m^3n^3 + 14m^2n^4 + 8mn^5 + n^6$

So:

$8mn^5 - 2m^6 + 5m^2n^4 - m^3n^3 + n^6 - 4m^6 + 9m^2n^4 - mn^5 - 4m^3n^3 = -6m^6 - mn^5 - 5m^3n^3 + 14m^2n^4 + 8mn^5 + n^6$

5 0

3 years ago

A square box lid has an area of 50 square inches. Which is the best estimate of the length of one side?

PtichkaEL [24]

Answer: 7.1 inches

Step-by-step explanation:

The area of a square is simply the square of one of its length. Therefore since we are informed that the area of the square box is given as 50 inches².

Then the best estimate of the length of one side will be the square root of 50 which will be:

= ✓50

= 7.1 inches approximately

5 0

3 years ago

The first term of a geometric sequence is 6, and the ratio (multiplier) is 0.5. What is the sum of the first 8 terms, rounded to

IRISSAK [1]

The sum of the first $n$ terms of a geometric sequence is given by:

$S_{n}=\frac{a_{1}(1-r^{n})}{1-2}$

Using the known values:
$S_{8}=\frac{6(1-0.5^{8})}{1-0.5}$
$S_{8}=\frac{6(1-0.00390625)}{0.5}$
$S_{8}=\frac{6(0.99609375)}{0.5}$
$S_{8}=\frac{5.9765625}{0.5}$
$S_{8}=11.953125$

4 0

3 years ago

Peter attempted to use the divide-center method to find the line of best fit on a scatterplot.

SpyIntel [72]

Answer:

He had a different number of points above the line of best fit than below the line of best fit.

Step-by-step explanation:

This is the best likely answer to the question about Peter's attempt to use divide-center method to find the line of best fit on a scatterplot.

8 0

3 years ago