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3 years ago

Two distinct number cubes are rolled together. Each number cube has sides numbered 1 through 6.

Mathematics

1 answer:

bogdanovich [222]3 years ago

8 0

Answer:

2/3

Step-by-step explanation:

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Describe all of the transformations occurring as the parent function f(x) = x^3 is transformed into g(x) = -0.5(3(x+4))^3 -8

hodyreva [135]

Step-by-step explanation:

The translations of the typical functions are

$y = a(bx + c) + d$

Where a is the vertical translation,

If a is greater than 1 or less than -1, we have a vertical stretch

If a is between -1 and 1 , we have a vertical compressions or shrink.

If a is negative, we have a negative reflection across the x axis.

If b is greater than 1 or less than -1, we have a horizontal compression or shrink

If b is between -1 and 1, we have a horizontal stretch

If b is negative, we have a reflection about the y axis,

If c is negative, we have a translation to the right c units

If c is positive, we have a translation to the left c units

If d is positive, we have a translation upward d units

If d is negative, we have a translation downward d units.

Here in this problem, our parent function is x^3.

So I would do the following transformations.

Reflect about the x axis
Vertical Shrink by a factor of 1/2
Horizontal Shrink by a factor of 3
Shift to the left 4 units
Shift downward 8 units.

4 0

2 years ago

Given the following winning percentages of the teams in a league (for a single year) compute the within-season standard deviatio

Masja [62]

Answer:

(b) 0.251

Step-by-step explanation:

1. Standard deviation equation:

$SD=\sqrt{\frac{\sum\limits^N_i {(x_{i}-X)^{2} } }{N} }$

Where X is the mean of the data, and N the amount of data. Then, N=5

2. Estimate the Mean:

$X=\frac{0.750+0.750+0.200+0.600+0.200}{5}=\frac{2.5}{5}=0.5\\$

3. Caclulate Standard deviation:

$SD=\sqrt{\frac{{(0.750-0.500)^{2}+(0.750-0.500)^{2}+(0.200-0.500)^{2}+(0.600-0.500)^{2}+(0.200-0.500)^{2} } }{5} }$

$SD=\sqrt{\frac{0.315}{5} }=\sqrt{0.063}\\SD=0.251$

7 0

3 years ago

Answer to this question?

Readme [11.4K]

A midsegment is given by the formula:
$\frac{x1+x2}{2} , \frac{y1+y2}{2}$

Where x1, x2, y1, and y2 correspond to their respective coordinates. We can do the equation:

$\frac{-3+5}{2} , \frac{-1+3}{2}$
This gets us a midpoint coordinate of <span>(1,1)

</span>As for distance, it will be found by doing:
$\sqrt{(x2-x1)^2+(y2-y1)^2}$
We can do the following:

$\sqrt{(5-(-3))^2+(3-(-1))^2}$
$\sqrt{(8)^2+(4)^2}$
$\sqrt{64+16}$
This simplifies to $4 \sqrt{5}$

:)

5 0

3 years ago

Read 2 more answers

Which savings account can a financial institution end?

nataly862011 [7]

<span>The correct answer is 'callable certificate of deposit’. Financial institutions can recall these before they reach maturity. This avoids financial institutions having to pay more if interest rates go down.</span>

7 0

3 years ago

Read 2 more answers

A student is attempting to simplify the expression below. Sample mathematical work is shown. Which statement best applies to the

12345 [234]

The answer is A) The student failed to properly apply the distributive property.

4 0

4 years ago