Is C=pi d partial variation or direct or neither

A crew of highway workers paved 2/15 miles in 20 minutes if they work at the same rate what portion of a mile will they pave in

FromTheMoon [43]

<span>The workers paved 2/5 miles in 1 hour =)</span>

4 0

2 years ago

One sample has a mean of and a second sample has a mean of . The two samples are combined into a single set of scores. What is t

Murrr4er [49]

Answer:

a) For this case we can use the definition of weighted average given by:

$M = \frac{ \bar X_1 n_1 + \bar X_2 n_2}{n_1 +n_2}$

And if we replace the values given we have:

$M = \frac{8*4 + 16*4}{4+4}= 12$

b) $M = \frac{8*3 + 16*5}{3+5}= 13$

c) $M = \frac{8*5 + 16*3}{5+3}= 11$

Step-by-step explanation:

Assuming the following question: "One sample has a mean of M=8 and a second sample has a mean of M=16 . The two samples are combined into a single set of scores.

a) What is the mean for the combined set if both of the original samples have n=4 scores "

For this case we can use the definition of weighted average given by:

$M = \frac{ \bar X_1 n_1 + \bar X_2 n_2}{n_1 +n_2}$

And if we replace the values given we have:

$M = \frac{8*4 + 16*4}{4+4}= 12$

b) what is the mean for the combined set if the first sample has n=3 and the second sample has n=5

Using the definition we have:

$M = \frac{8*3 + 16*5}{3+5}= 13$

c) what is the mean for the combined set if the first sample has n=5 and the second sample has n=3

Using the definition we have:

$M = \frac{8*5 + 16*3}{5+3}= 11$

7 0

2 years ago

On a coordinate plane, a line goes through (negative 3, 2) and (0, 1). A point is at (3, 4).

Amiraneli [1.4K]

Answer:

y = 3x - 5

Step-by-step explanation:

Points on given line: (-3, 2), (0, 1)

m1 = slope of given line; m = slope of perpendicular

Slope of given line = m1 = (y2 - y1)/(x2 - x1) = (2 - 1)/(-3 - 0) = 1/(-3) = -1/3

The slopes of perpendicular lines have a product of -1.

m1 * m = -1

-1/3 * m = -1

m = 3

Slope of perpendicular: m = 3

Point on perpendicular: (3, 4)

y - y1 = m(x - x1)

y - 4 = 3(x - 3)

y - 4 = 3x - 9

y = 3x - 5

Answer: y = 3x - 5

4 0

2 years ago

on dividing $200 between A and B such that twice of A's share is less than 3 times than B's share by $20

Wittaler [7]

Answer:

Share of A is $116 and Share of B is $84.

Step-by-step explanation:

Let the share of A be $x$

Let the share of B be $y$

Given:

$200 is shared between A and B

So, $x+y =\$200\ \ \ \ equation \ 1$

Also given;

twice of A's share is less than 3 times than B's share by $20

$2x= 3y -20\\2x-3y = -20 \ \ \ \ equation \ 2$

Solution:

Now multiplying equation 1 by 3 we get,

$3x+3y=600 \ \ \ \ equation \ 3$

Now Adding equation 2 and equation 3 we get

$(2x-3y = -20)+ (3x+3y=600)\\5x=580\\\\x=\frac{580}{5}=\$116$

Now Substituting the value of x in equation 1 we get,

$x+y=200\\116+y=200\\y=200-116 = \$84$

Hence, Share of A is $116 and Share of B is $84.

8 0

2 years ago

The conversion of square feet to square yards can be represented by direct variation. Three square yards are

grandymaker [24]

<h3>The constant of variation is $\frac{1}{9}$ </h3><h3>The equation is $y=\frac{1}{9}x$ </h3>

<em><u>Solution:</u></em>

Given that,

The conversion of square feet to square yards can be represented by direct variation

Let y represent the number of square yards

Let x be the number of square feet

$y \propto x$

y = kx ------ eqn 1

Where, "k" is the constant of variation

Three square yards are equivalent to 27 square feet

Substitute, y = 3 and x = 27 in eqn 1

$3 = k \times 27\\\\k = \frac{3}{27}\\\\k = \frac{1}{9}$

Thus the constant of variation is $\frac{1}{9}$

<em><u>What is the equation representing the direct variation?</u></em>

Substitute k = 1/9 in eqn 1

$y = \frac{1}{9}x$

Thus the equation is found

4 0

3 years ago