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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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LK is tangent to circle J at point K. Circle J is shown. Line segment J K is a radius. Line segment K L is a tangent that inters
Evgen [1.6K]

Answer:

(B)r=\dfrac{85}{12}

Step-by-step explanation:

Given a circle centre J

Let the radius of the circle =r

LK is tangent to circle J at point K

From the diagram attached

  • LX=6
  • Radius, XJ=JK=r
  • LK=11

Theorem: The angle between a tangent and a radius is 90 degrees.

By the theorem above, Triangle JLK forms a right triangle with LJ as the hypotenuse.

Using Pythagoras Theorem:

(6+r)^2=r^2+11^2\\(6+r)(6+r)=r^2+121\\36+6r+6r+r^2=r^2+121\\12r=121-36\\12r=85\\r=\dfrac{85}{12}

The length of the radius, r=\dfrac{85}{12}

8 0
2 years ago
Read 2 more answers
Expand the following expression by using the distributive method. 6(3b - 4c)
Kruka [31]
18b - 24c because you multiply the outside with everything inside

8 0
2 years ago
A segment has endpoints A (-1, 1) and B (8, 4) . If the segment is divided into four equal parts, the coordinates of the point c
riadik2000 [5.3K]

Line is divided into 4 equal parts.

we have to find a point which is closest to point A.

So that means required point P(x,y) is at 1 unit away from A(-1,1) and 3 unit away from B(8,4)

Now we just need to use section formula to get the coordinate of required point using m1=1 and m2=3

\left ( \frac{m_1x_2+m_2x_1}{m_1+m_2}  , \frac{m_1y_2+m_2y_1}{m_1+m_2} \right )

= \left ( \frac{1*8+3*(-1)}{1+3}  , \frac{1*4+3*1}{1+3} \right )

= \left ( \frac{8-3}{4}  , \frac{4+3}{4} \right )

= \left ( \frac{5}{4}  , \frac{7}{4} \right )

So the final answer is \left ( \frac{5}{4}  , \frac{7}{4} \right ).

6 0
2 years ago
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A bicycle tire has a radius of 5 inches. To the nearest inch, how far does the tire travel when it makes 8 revolutions?
Pani-rosa [81]

Answer:

251 inches

Step-by-step explanation:

c = 2πr

c = 2(3.14)(5) = 31.4

31.4 x 8 rev. = 251 inches

4 0
2 years ago
Catron evaluates the expression (negative 9) (2 and two-fifths) using the steps below.
Ede4ka [16]

The error is:

She incorrectly broke up 2 and two-fifths.

Option A is correct option.

Step-by-step explanation:

We need to  describes Catron’s error?

The steps are:

Step 1: (Negative 9) (2 + two-fifths)

Step 2: (Negative 9) (Negative 2) + (negative 9) (two-fifths)

Step 3: Negative 18 + (negative 9) (two-fifths)

Step 4: (negative 27) (two-fifths)

Solution: Negative StartFraction 54 over 5 EndFraction = Negative 10 and four-fifths

The error is:

She incorrectly broke up 2 and two-fifths.

Option A is correct option.

<u>Solving </u>

Solving the equation by removing the error:

Step 1: (Negative 9) (2 + two-fifths)

taking LCM of 2 and two-fifths (2/5)

Step 2: (Negative 9) (twelve-fifths)

Step 3: (Negative 9*twelve)-fifths

Step 4: Negative one hundred and eight- fifths

Solution: Negative StartFraction -108 over 5 EndFraction = Negative one hundred and eight- fifths

Keywords: Solving Expressions

Learn more about Solving Expressions at:

  • brainly.com/question/2456302
  • brainly.com/question/7014769
  • brainly.com/question/11007572
  • brainly.com/question/11334714

#learnwithBrainly

5 0
2 years ago
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