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Amiraneli [1.4K]
2 years ago
7

Suppose that a random number generator randomly generates a number from 1 to 65. Once a specific number is generated, the genera

tor will not select that number again until it is reset. If a person uses the random number generator 65 times in a row without resetting, how many different ways can the numbers be generated?
Mathematics
1 answer:
juin [17]2 years ago
8 0

Answer:

65!

65! = 8. 2547650592 * 10^ 90 approximately

Step-by-step explanation:

A random number generator randomly generates a number from 1 to 65.

Once a specific number is generated, the generator will not select that number again until it is reset.

The number of ways it can be used is = 65!

65! = 8. 25476505* 10^ 90 approximately

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Choose the equation that could be used to find two consecutive integers whose sum is 67.
statuscvo [17]
I believe the answer is the last one (D), because if n is 33 than 33 + (33+1[34]) = 67.
3 0
2 years ago
Consider the product (x + y + z)2. If the expression is multiplied out and like terms collected, the result is: x2 + y2 + z2 + 2
VLD [36.1K]

Answer:

Part a: The coefficient of v^9w^2x^5y^7z^2 is 1.766 \times 10^{13}

Part b: The number of terms are 23751.

Step-by-step explanation:

part a

From the given equation the

(x+y+z)^2=x^2+y^2+z^2+2xy+2yz+2zx

So the coefficient of any term x^ny^nz^n is given as  

\dfrac{2!}{n!n!n!}

Similarly for the generic equation of coefficient of the term x_1^{r_1}x_2^{r_2}x_3^{r_3}......x_k^{r_k} in the equation of form (x_1+x_2+x_3+x_4......x_k)^n is given as  

\dfrac{n!}{r_1!r_2!r_3!....r_k!}

So now the coefficient of v^9w^2x^5y^7z^2  is given as

=\dfrac{25!}{9!2!5!7!2!}\\=1.766 \times 10^{13}

The coefficient of v^9w^2x^5y^7z^2 is 1.766 \times 10^{13}

Part b:

The number of terms is given as \left (\ {{m+n-1} \atop {n}}  \right )

where m is the number of variables which are 5 here

n is the power which is 25 so the number of variables is given as

\left (\ {{5+25-1} \atop {25}}  \right )\\\left (\ {{29} \atop {25}}  \right )\\\dfrac{29!}{25!4!}=23751

So the number of terms are 23751.

3 0
3 years ago
Find the percent of change from 2008 to 2012. Round to the nearest tenth of a percent. Is it an increase or decrease?
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Percent\ of\ change\ is\ 0.2\%\ and\ it\ is\ increase.
8 0
2 years ago
Read 2 more answers
Zane and Matt are both keen runners. Zane takes 4 minutes to jog around a running track and Matt takes 5 minutes. They start at
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I believe that the correct answer to this question is B. because matt took more than 5 minutes .
3 0
2 years ago
Angle ABD and angle DBC are linear pairs, and angle ABD and angle EDC are vertical angles. If the measure of angle ABD=5(2x+1),
Ugo [173]
∠ ABD = 5(2X+1)
∠ DBC = 3X+6
∠ EBC = Y +135/2

∠ ABD and ∠ DBC are linear pairs
∴ ∠ ABD +∠ DBC = 180
∴ 5(2X+1) + 3X+6 =180
solve for x
∴ x = 13
∴∠ ABD = 5(2X+1) = 5(2*13+1) = 135
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∠ ABD  and ∠ EBC are vertical angles
∴ ∠ ABD = ∠ EBC = 135
∴ y +135/2 = 135
∴ y = 135/2

The <span>statements that are true:
--------------------------------------</span><span>
C.) x=13
E.)measure of angle EBC =135
F.) angle DBC and angle EBC are linear pairs </span>




8 0
2 years ago
Read 2 more answers
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