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3 years ago

What is the answer and how do u get that answer

Mathematics

1 answer:

m_a_m_a [10]3 years ago

4 0

C because he makes 1 1/2 liter and finishes it, which makes 0. A would be 1.50, b would be 2, and d -4

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Set A of six numbers has a standard deviation of 3 and set B of four numbers has a standard deviation of 5. Both sets of numbers

Alenkinab [10]

Given:

$\sigma_A=3$

$n_A=6$

$\sigma_B=5$

$n_B=4$

$\overline{x}_A=\overline{x}_B$

To find:

The variance. of combined set.

Solution:

Formula for variance is

$\sigma^2=\dfrac{\sum (x_i-\overline{x})^2}{n}$ ...(i)

Using (i), we get

$\sigma_A^2=\dfrac{\sum (x_i-\overline{x}_A)^2}{n_A}$

$(3)^2=\dfrac{\sum (x_i-\overline{x}_A)^2}{6}$

$9=\dfrac{\sum (x_i-\overline{x}_A)^2}{6}$

$54=\sum (x_i-\overline{x}_A)^2$

Similarly,

$\sigma_B^2=\dfrac{\sum (x_i-\overline{x}_B)^2}{n_B}$

$(5)^2=\dfrac{\sum (x_i-\overline{x}_B)^2}{4}$

$25=\dfrac{\sum (x_i-\overline{x}_B)^2}{4}$

$100=\sum (x_i-\overline{x}_B)^2$

Now, after combining both sets, we get

$\sigma^2=\dfrac{\sum (x_i-\overline{x}_A)^2+\sum (x_i-\overline{x}_B)^2}{n_A+n_B}$

$\sigma^2=\dfrac{54+100}{6+4}$

$\sigma^2=\dfrac{154}{10}$

$\sigma^2=15.4$

Therefore, the variance of combined set is 15.4.

7 0

3 years ago

If the sum of the total mining costs for student 1 and student 2 is $40, what is the cost of equipment for student 2?

Andreyy89

If they're both equal $20 but there is many different ways to answer this like 19 plus 21

4 0

3 years ago

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

Valentin [98]

9514 1404 393

Answer:

(b) x +2y = 8

Step-by-step explanation:

The only offered line that includes the given point is ...

x +2y = 8

We can check the other choices:

x + 2y = 2 +2(3) = 2+6 = 8 . . . matches B (not A)

2x +y = 2(2) +3 = 4+3 = 7 . . . . not a choice

_____

<em>Getting there from scratch</em>

The standard form equation for a line can be written from ...

(y2 -y1)x -(x2 -x1)y = constant

(-4 -0)x -(4 -(-4))y = constant . . . . using the given points (-4, 0) and (4, -4)

-4x -8y = constant

For standard form, we need the leading coefficient to be positive, and we need common factors removed. We can get there by dividing by -4.

x +2y = constant

The value of the constant will be whatever it takes for the given point to lie on the line. For (x, y) = (2, 3) to be a solution, we must have ...

x +2y = (2) +2(3) = constant = 8

The desired line has the equation ...

x +2y = 8

8 0

3 years ago

Read 2 more answers

2x -2y < 8 is an example of Linear inequality. True or False

liraira [26]

Answer:

True

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Find an explicit rule for the nth term of the arithmetic sequence.<br><br> -13, -7, -1, 5, ...

Bad White [126]

Answer:

-13 + 5*n-1 I think

Step-by-step explanation:

8 0

3 years ago