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2 years ago

Determine the quotient: (22.8 × 10–3) ÷ (5.7 × 10–6)

Mathematics

1 answer:

lana66690 [7]2 years ago

8 0

Answer:

0.399

Step-by-step explanation:

The key to doing this problem properly lies in knowing and following order of operations rules.

Here we must perform mult. and div. before addition and subtr., but even before that we must do all work enclosed in parentheses first.

(22.8 × 10–3) is evaluated by doing the mult. first, and then subtracting 3:

(228-3) = 225

and

(5.7 × 10–6) is evaluated by doing the mult. first, then subtracting 6:

(570-6) = 564.

Finally, we divide 225 by 564, obtaining 0.399 (after rounding off to three decimal places).

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50 POINTS .....................

Alenkinab [10]

The option (C) Mus. Apt. = -22.26 + 0.4925(IQ score) is correct because the value of slope is 0.4925 and y-intercept is -22.26.

A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.

$\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2}$

$\rm c = \dfrac{\sum y -m \sum x}{n}$

We have data shown in the picture.

Let's suppose the regression line is:

y = mx + c

Where m is the slope of the regression line and c is the y-intercept of the line.

We can calculate the value of m and c by using the formula.

After calculating, we get:

m = 0.4925

c = -22.26

Mus. Apt. = 0.49253(IQ score) - 22.26

Mus. Apt. = -22.26 + 0.4925(IQ score)

Thus, the option (C) Mus. Apt. = -22.26 + 0.4925(IQ score) is correct because the value of slope is 0.4925 and y-intercept is -22.26.

Learn more about the line of best fit here:

brainly.com/question/14279419

#SPJ1

4 0

1 year ago

Use the given inverse to solve the system of equations. left brace Start 3 By 3 Matrix 1st Row 1st Column x minus y plus z 2nd C

natka813 [3]

The interpretation of the given question is as follows:

Use the given inverse to solve the system of equations

$x- y - z = -6 \\ \\ 2y + z = -6 \\ \\ 3x -8 y = - \dfrac{1}{2}$

The inverse of $\left[\begin{array}{ccc}1&-1&1\\0&2&1\\3&-8&0\end{array}\right] is \left[\begin{array}{ccc}-8&8&3\\-3&3&1\\6&-5&-2\end{array}\right]$

x =

y =

z =

Answer:

x = - 1.5

y = - 0.5

z = - 5

Step-by-step explanation:

Using the correlation of inverse of matrix AX = B to solve the question above;

AX = B

⇒ A⁻¹(AX) = A⁻¹ B

X = A⁻¹ B

So ;

X = A⁻¹ B

$\left[\begin{array}{c}x\\y\\z\end{array}\right] =$ $\left[\begin{array}{ccc}-8&8&3\\-3&3&1\\6&-5&-2\end{array}\right] =$ $\left[\begin{array}{ccc}-6\\ -6\\- \dfrac{1}{2}\end{array}\right]$

$\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}(-8*-6)+(8*-6)+(3*-\dfrac{1}{2})\\(-3*-6)+(3*-6)+(1*-\dfrac{1}{2})\\(6*-6)+(5*-6)+(-2* - \dfrac{1}{2})\end{array}\right]$

$\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}(48)+(-48)+(\dfrac{-3}{2})\\(18)+(-18)+(\dfrac{-1}{2})\\(-36)+(30)+(1)\end{array}\right]$

$\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}(\dfrac{-3}{2})\\(\dfrac{-1}{2})\\(-5)\end{array}\right]$

$\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}-1.5\\-0.5\\ -5\end{array}\right]$

5 0

2 years ago

If a half gallon milk costs $1.24, what is the cost per pint?

PIT_PIT [208]

Hello! The answer is: $0.31

7 0

2 years ago

What is the volume?<br> 9 cm<br> 8cm<br> 6 cm

vova2212 [387]

Answer:

432cm^3

Step-by-step explanation:

Volume=l×b×h

=9×8×6

432cm^3

6 0

3 years ago

Read 2 more answers

Find the distance between points A and C round to the nearest tenth.

Taya2010 [7]

Well the first thing that came to my mind was to do rise/run and doing that I got 6/5 which I added together to get 11 but since that's obviously not correct I assumed it was a little under so the answer I got was 7.8

Really hope this helps!

6 0

3 years ago