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3 years ago

11

Jeremy has a deck of cards numbered 1-12. He picks one card and then replaces it. Then he picks another card. What is the probab

ility he picks a 1 and then a 12?

1 answer:

LiRa [457]3 years ago

5 0

The answer is 8.3 percent

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Apply Newton’s method to estimate the solution of x3 − x − 1 = 0 by taking x1 = 1 and finding the least n such that xn and xn +

ss7ja [257]

Solution :

Given

$f(x)=x^3-x-1, x_1=1$

$f'(x)=3x^2-1$

Let the initial approximation is $x_1 =1$

So by Newton's method, we get

$x_{n+1}=x_n-\frac{f(x_n)}{f'(x_n)},n=1,2,...$

$x_2=x_1-\frac{f(x_1)}{f'(x_1)}=1-\frac{1^3-1-1}{3(1)^2-1}=1.5$

$x_3=1.5-\frac{(1.5)^3-1.5-1}{3(1.5)^2-1}=1.34782608$

$x_4=1.34782608-\frac{(1.34782608)^3-1.34782608-1}{3(1.34782608)^2-1}=1.32520039$

$x_5=1.32520039-\frac{(1.32520039)^3-1.32520039-1}{3(1.32520039)^2-1}=1.32471817$

$x_6=1.32471817-\frac{(1.32471817)^3-1.32471817-1}{3(1.32471817)^2-1}=1.32471795$

$x_5 \approx x_6$ are identical up to eight decimal places.

The approximate real root is x ≈ 1.32471795

∴ x = 1.32471795

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3 years ago

The perimeter of a rectangular garden is 26 ft. What is the width of the

Morgarella [4.7K]

Answer:

21 is answer..........

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3 years ago

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10. If x = -2, y=-6 and z= 4, find the value of 4xy<br>Z

Grace [21]

Answer:

192

Step-by-step explanation:

Given

4xyz ← substitute given values into expression

= 4 × - 2 × - 6 × 4 = - 8 × - 24 = 192

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3 years ago

What is the selling price of a 62.25 karaoke machine with a 60.55 mark up

Mice21 [21]

Answer:

$122.80

Step-by-step explanation:

$62.25 + $60.55 = $122.80

Hope this helps. Please mark brainliest.

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3 years ago

Please answer it now in two minutes

oksano4ka [1.4K]

Answer:

3.9

Step-by-step explanation:

Pythagorean theorem:

a^2 + b^2 = c^2

a^2 + 1^2 = 4^2

a^2 + 1 = 16

a^2 = 15

a = sqrt(15)

a = 3.9

Answer a = 3.9 yards

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3 years ago

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