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SIZIF [17.4K]
3 years ago
5

A goblet contains 333 red balls, 222 green balls, and 666 blue balls. if we choose a ball, then another ball without putting the

first one back in the goblet, what is the probability that the first ball will be red and the second will be blue?
Mathematics
2 answers:
Montano1993 [528]3 years ago
4 0

Step-by-step explanation:

4

89

69849

55

Ludmilka [50]3 years ago
3 0

Answer:

\frac{9}{55}

Step-by-step explanation:

A goblet contains 3 red balls, 2 green balls and 6 blue balls.

Total balls = 3 + 2 + 6 = 11 balls

we choose a ball and then another ball without putting the first one back.

The probability that the first ball will be red = P_{1} = \frac{3}{11}

Second event is done without replacing the first ball so total ball will be 10

The probability that the second ball will be blue = P_{2} = \frac{6}{10} = \frac{3}{5}

P = \frac{3}{11} × \frac{3}{5} = \frac{9}{55}

The probability that the first ball will be red and the second ball will be blue is \frac{9}{55}

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Find the smallest positive integer k such that 3240/k is a square number
sashaice [31]

Answer:

10

Step-by-step explanation:

First, factorize the number 3,240:

3,240=2\cdot 1,620=2\cdot 2\cdot 810=2\cdot 2\cdot 2\cdot 405=2\cdot 2\cdot 2\cdot 2\cdot 5\cdot 81=2^3\cdot 5\cdot 9^2

So,

3,240=2^2 \cdot 2\cdot 5\cdot 9^2=18^2\cdot 10

Now consider the fraction

\dfrac{3,240}{k}=\dfrac{18^2\cdot 10}{k}

If k = 10, then

\dfrac{3,240}{k}=\dfrac{18^2\cdot 10}{10}=18^2

is a square number.

For all k < 10, the fraction tex]\dfrac{3,240}{k}[/tex] is not a square number (this follows from factorization).

Or you can simply check the values of the fraction for all k < 10:

  • k = 1, \dfrac{3,240}{1}=3,240 is not a square number;
  • k = 2, \dfrac{3,240}{2}=1,620 is not a square number;
  • k = 3, \dfrac{3,240}{3}=1,080 is not a square number;
  • k = 4, \dfrac{3,240}{4}=810 is not a square number;
  • k = 5, \dfrac{3,240}{5}=648 is not a square number;
  • k = 6, \dfrac{3,240}{6}=540 is not a square number;
  • k = 7, \dfrac{3,240}{7} is not a square number;
  • k = 8, \dfrac{3,240}{8}=405 is not a square number;
  • k = 9, \dfrac{3,240}{9}=360 is not a square number.
5 0
3 years ago
Help me out please?.
frez [133]
Answer: Rotation, Translation and Reflection

Explanation
Rotation, translation and reflection moves the shape, resulting in a congruent shape but in a different position. Dilation changes the length/width of the shape. The shape can be similar, but not congruent.
7 0
2 years ago
Vanessa throws a tennis ball in the air. the function h(t) = -16t2 + 45t + 7 represents the distance, in feet, that the ball is
antiseptic1488 [7]
Given that height, h(t) of a tennis ball is modeled by the equation h(t)=<span>-16t^2 + 45t + 7, the time taken for the ball to reach maximum height will found as follows:
at maximum height:
h'(t)=0
but from the equation:
h'(t)=-32t+45=0
solving for t we get
t=45/32
t=1.40625~1.4 seconds
Thus the time taken to reach maximum height is 1.4 seconds


</span>
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3 years ago
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kari74 [83]
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2 years ago
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Answer:

angle LXZ is 121°

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