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3 years ago

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A regular four-sided die and a regular eight-sided die are rolled to form a sum. a) Determine the probability distribution for t

he sum of the two dice. Show Steps b) Create a frequency histogram for the probability distribution. c) Determine the expected sum of the two dice.

1 answer:

White raven [17]3 years ago

8 0

Answer:

4+8=12 so,if its 12 so

Step-by-step explanation:

the some will be 12

12-8=4

12-4=8

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Given the function y = x^4- 8x² + 16.

nevsk [136]

Answer:

Step-by-step explanation:

Recall that we use the first derivative to discover where a function is increasing or decreasing; it's increasing where the first derivative is + and decreasing where the first derivative is -.

The derivative of y = x^4 - 8x^2 + 16 is dy/dx = 4x^3 - 16x, or 4x(x^2 - 4).

This can be factored further: 4x(x - 2)(x + 2).

Set this equal to zero and solve for the three critical values:

{-2, 0, 2}.

Set up a total of four intervals: (-∞, -2), (-2, 0), (0, 2), (2, ∞).

Now choose a test point within each interval: {-3, -1, 1, 3}.

Evaluate the first derivative, dy/dx, at each of these four test points. Rule: if the first derivative is +, we know the function is increasing on that interval; if -, the function is decreasing.

At x = -3, dy/dx = 4x(x - 2)(x + 2) becomes (-)(-)(-), which is -, so we know that the function is decreasing on interval (∞, -2).

At x = -1, dy/dx is (-)(-)(+), which is +, so we know that the function is increasing on (-2, 0).

At x = 1, dy/dx is (+)(-)(+), which is -, so we know that the function is decreasing on (0, 2).

Finally: at x = 3, dy/dx is (+)(+)(+), so we know that the function is increasing on (2, ∞ ).

5 0

4 years ago

Solve for x by using log. Rounded to hundredth. <br><br> <img src="https://tex.z-dn.net/?f=4%5E%7B2x-5%7D%20%3D6%5E%7B-x%2B1%7D"

wel

Answer: $x=1.91$

Step-by-step explanation:

Given the expression $4^{2x-5} =6^{-x+1}$ , apply logarithm to both sides. Then:

$log(4)^{2x-5} =log(6)^{-x+1}$

Remembert that according the the properties of logarithms:

$log(a)^n=nlog(a)$

Then:

$(2x-5)log(4)=(-x+1)log(6)$

Appy distributive property and solve for "x":

$2xlog(4)-5log(4)=-xlog(6)+log(6)\\2xlog(4)+xlog(6)=log(6)+5log(4)\\x(2log(4)+log(6))=log(6)+5log(4)\\\\x=\frac{log(6)+5log(4)}{2log(4)+log(6)}\\\\x=1.91$

6 0

4 years ago

Read 2 more answers

Hiro has 5 kilograms of potatoes and 2 kilograms of onions. He plans to use 3.25 kilograms of potatoes and 550 grams of onions f

spayn [35]

Answer: 3.20kg

Step-by-step explanation:

Hiro has 5 kilograms of potatoes and 2 kilograms of onions. The total kilogram of the produce will be:

= 5kg + 2kg

= 7kg

Since he plans to use 3.25 kilograms of potatoes and 550 grams of onions for a recipe. The total kilogram that he plans to use will be:

= 3.25kg + 0.55kg

= 3.80kg

Therefore, the total kilograms of the produce will not be used will be:

= 7kg - 3.80kg

= 3.20kg

Note:

1000grams = 1 kilogram

550gram = 550/1000 = 0.55kg

4 0

3 years ago

I really hate summer school help plz

Elena L [17]

This is a same side interior angle, which means that the two angles, when added, will equal 180°

y + 72 = 180

Isolate the y, subtract 72 from both sides

y + 72 (-72) = 180 (-72)

y = 180 - 72

y = 108

A) 108°, is your answer

hope this helps

3 0

3 years ago

Read 2 more answers

A two-pound bag of assorted candy contained 100 caramels, 83 mint patties, 93 chocolate squares, 80 nut clusters, and 79 peanut

faltersainse [42]

Answer:

The degree measure of the slice representing the mint patties rounded to the nearest degree is 69°.

Step-by-step explanation:

Consider the provided information.

A two-pound bag of assorted candy contained 100 caramels,

83 mint patties,

93 chocolate squares,

80 nut clusters,

79 peanut butter taffy pieces.

Now find the degree measure of the slice representing the mint patties rounded to the nearest degree as shown:

$\frac{83}{100+83+93+80+79} \times 360^0$

$\frac{83}{435} \times 360^0$

$68.69\approx69^0$

Hence, the degree measure of the slice representing the mint patties rounded to the nearest degree is 69°.

7 0

3 years ago