2(x + 5) = 3x + 13y – 4= 6 – 2y3(n + 2) = 9(6

Kate needs 3 pieces of ribbon. She needs 2 pieces that are each 8.5 inches long and another piece that is 7.75 inches long. She

8090 [49]

B is the correct answer

3 0

3 years ago

Assume that the population proportion is 0.56. Compute the standard error of the proportion, σp, for sample sizes of 100, 200, 5

Aliun [14]

Answer:

Standard errors are 0.049, 0.035, 0.022, and 0.016.

Step-by-step explanation:

The given value of population proportion (P) = 0.56

Given sample sizes (n ) 100, 200, 500, and 1000.

Now standard error is required to calculate.

Use the below formula to find standard error.

When sample size is n = 100

$\sqrt{\frac{P(1-P)}{n}} = \sqrt{\frac{0.56(1-0.56)}{100}} =0.049$

When sample size is n = 200

$\sqrt{\frac{P(1-P)}{n}} = \sqrt{\frac{0.56(1-0.56)}{200}} = 0.035$

When sample size is n = 500

$\sqrt{\frac{P(1-P)}{n}} = \sqrt{\frac{0.56(1-0.56)}{500}} =0.022$

When sample size is n = 1000

$\sqrt{\frac{P(1-P)}{n}} = \sqrt{\frac{0.56(1-0.56)}{1000}} = 0.016$

4 0

4 years ago

I am trying my level best to understand graph so far , how to draw a graph of composite function ?

stiks02 [169]

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7 0

3 years ago

Write the slope-intercept form of the equation of the line with the given characteristics. Perpendicular to y = -5x + 2 and pass

natka813 [3]

The slope intercept form of a line can be expressed as,

$y=mx+c$

Here, m is the slope of the line and c is the y intercept.

Comparing the above equation with the given equation of a line y=-5x+2, we get

m=-5.

The slope of a line perpendicular to line with slope m is -1/m.

Hence, the slope of line perpendicular to y=-5x+2 is,

$m_1=\frac{-1}{m}=\frac{-1}{-5}=\frac{1}{5}$

The new line is given to be passing through point with coordinates (x1, y1)=(3, -1).

The point slope form of a line passing through point with coordinates (x1, y1)=(3, -1) and having slope m1 is,

$\begin{gathered} y-y_1=m_1(x-x_1) \\ y-(-1)=\frac{1}{5}(x-3) \\ y+1=\frac{1}{5}x-\frac{3}{5} \\ y=\frac{1}{5}x-\frac{3}{5}-1 \\ y=\frac{1}{5}x-\frac{3-5}{5} \\ y=\frac{1}{5}x-\frac{8}{5} \end{gathered}$

Therefore, the slope-intercept form of the equation of the line perpendicular to y = -5x + 2 and passing through (3,-1) is,

$y=\frac{1}{5}x-\frac{8}{5}$

3 0

2 years ago

From a group of 20 day workers and 12 night workers, a skeleton work crew of 5 day workers and 3 night workers must be formed. i

wel

Answer:

3,410,880 ways.

Step-by-step explanation:

There are no markings to differentiate the position so the order is not important. The group also divided into day and night workers which independent from each other.

You want to make a schedule for 5 day workers out of 20 day workers, the number of ways to do that will be: 5C20= 20!/5!15! =15504 ways

You want to make a schedule for 3 night workers out of 12 night workers, the number of ways to do that will be: 3C12= 12!/3!9! =220 ways

The total number of ways possible will be 15504 * 220 = 3410880 ways.

5 0

4 years ago

2(x + 5) = 3x + 13y – 4= 6 – 2y3(n + 2) = 9(6 – n)