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Yuri [45]
3 years ago
12

. A bag contains 3 red marbles and 2 yellow marbles. What is the probability of

Mathematics
1 answer:
Rasek [7]3 years ago
8 0

Answer:

3 out 5 chance

Step-by-step explanation:

It does not matter what marble you drew before since you put it back you still have 3 out of 5 red marbles

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consider the function and then use calculus to answer the questions that follow 1 1/x 5/x^2 1/x^3 (a) Find the interval(s) where
boyakko [2]

Answer:

a)X=((-15-\sqrt{201},(-15+\sqrt{201}),(0,\infty)

b)Y=(\infty,\frac{1}{2}(-15-\sqrt{201} ) ),(\frac{1}{2}()-15+\sqrt{201)},0  )

Step-by-step explanation:

From the question we are told that

The Function

f(x)=1+\frac{1}{x}  +\frac{5}{x^2} +\frac{1}{x^3}

Generally the differentiation of function f(x) is mathematically solved as

f(x)=1+\frac{1}{x}  +\frac{5}{x^2} +\frac{1}{x^3}

f(x)=\frac{x^3+x^2+5x+1}{x^2}

Therefore

f'(x)=\frac{x^2+10x+3}{x^4}

Generally critical point is given as

f'(x)=0

\frac{x^2+10x+3}{x^4}=0

x=-5 \pm\sqrt{22}

Generally the maximum and minimum x value for critical point is mathematically solved as

f'(-5 \pm\sqrt{22})

Where

Maximum value of x

f'(-5 +\sqrt{22})

Minimum value of x

f'(-5 +\sqrt{22})

Therefore interval of increase is mathematically given by

f'(-5 -\sqrt{22}),f'(-5 +\sqrt{22})

f(x)

Therefore interval of decrease is mathematically given by

(-\infty,-5 -\sqrt{22}),f'(-5 +\sqrt{22},0),(0,\infty)

Generally the second differentiation of function f(x) is mathematically solved as

f''(x)=\frac{2(x^2+15x+6)}{x^5}

Generally the point of inflection is mathematically solved as

f''(x)=0

x^2+15x+6=0

Therefore inflection points is given as

x=\frac{1}{2} (-15 \pm \sqrt{201}

f''(x)>0,\frac{1}{2}(-15-\sqrt{201})

a)Generally the concave upward interval X is mathematically given as

X=((-15-\sqrt{201},(-15+\sqrt{201}),(0,\infty)

f''(x)

b)Generally the concave downward interval Y is mathematically given as

Y=(\infty,\frac{1}{2}(-15-\sqrt{201} ) ),(\frac{1}{2}()-15+\sqrt{201)},0  )

5 0
3 years ago
What is 8 times a half?
xz_007 [3.2K]

Answer:

4

Step-by-step explanation:

my theory would be 4

4 0
3 years ago
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2, -4, 8, -16, . . . find the next two numbers in the pattern and describe the pattern.
il63 [147K]
The next numbers are 32 and -64 the pattern multiplies by -2
6 0
3 years ago
Once simplified, which of the expressions below have a value greater than -20?
balandron [24]

Answer:

A, B, and C

Step-by-step explanation:

a). -6 ÷ 2 x 5 1/3

= -3 x 5 1/3

= -16

b). 24 ÷ (-3) + 1/2

= -8 + 1/2

= -7.5

c). 36 ÷ 4 x (-2)

= 9 x -2

= -18

d). -54 ÷ (-9) x (-3 2/3)

6 x -3 2/3

= -22

7 0
2 years ago
Evaluate in the following expression when x = 4 and y = 5​
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Fraction with x squared plus y cubed in the numerator and 2 plus x in the denominator.
3.8
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19.58
23.5
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