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3 years ago

6

At noon, Manny's Café had 12 banana muffins, 10 chocolate muffins, 6 blueberry muffins, and 7 vanilla muffins. What is the proba

bility that the next muffin sold is a vanilla muffin? How likely is this event?

1 answer:

Ludmilka [50]3 years ago

4 0

Its 1/5 likely because my teacher helped me with this problem you welcome:)

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A notebook costs £1.40, a pen costs 37p , a pencil costs 24p and a sharpener costs 77p.

finlep [7]

£9 - 90p = £8.10

2 Pencils = 48p
3 Pens = £1.11
3 Sharpeners = £2.31
All together = £3.90
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£4.20 / £1.40 = 3

Answer = 3 Notebooks

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3 years ago

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valina [46]

I would say (-1,-1) because it’s on the dotted line and all the other points are within the orange highlight

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If there are 100 tickets to a concert and 200 fans who would like to go to the concert, each placing a slightly different value

Setler79 [48]

It's more efficient to hold a random drawing because the probability is higher.
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3 years ago

Use Newton’s Method to find the solution to x^3+1=2x+3 use x_1=2 and find x_4 accurate to six decimal places. Hint use x^3-2x-2=

luda_lava [24]

Let $f(x) = x^3 - 2x - 2$ . Then differentiating, we get

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

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The $x$ -intercept for this approximation will be our next approximation for the root,

$10x - 18 = 0 \implies x_2 = \dfrac95$

Repeat this process. Approximate $f(x)$ at $x_2 = \frac95$ .

$f(x) \approx f(x_2) + f'(x_2) (x-x_2) = \dfrac{193}{25}x - \dfrac{1708}{125}$

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$\dfrac{193}{25}x - \dfrac{1708}{125} = 0 \implies x_3 = \dfrac{1708}{965}$

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$f(x) \approx f(x_3) + f'(x_3) (x - x_3) = \dfrac{6,889,342}{931,225}x - \dfrac{11,762,638,074}{898,632,125}$

Then

$\dfrac{6,889,342}{931,225}x - \dfrac{11,762,638,074}{898,632,125} = 0 \\\\ \implies x_4 = \dfrac{5,881,319,037}{3,324,107,515} \approx 1.769292663 \approx \boxed{1.769293}$

Compare this to the actual root of $f(x)$ , which is approximately <u>1.76929</u>2354, matching up to the first 5 digits after the decimal place.

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