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murzikaleks [220]

2 years ago

13

You roll three six-sided dice. What is the probability that exactly two of the dice are odd? Write your answer as a fraction in

simplest form.
The probability is

1 answer:

Alenkinab [10]2 years ago

6 0

Answer:

1/4

Step-by-step explanation:

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Gina works at a diner.She earns 6$ each hour plus tips.In one week,She worksed 37 hours a week and earned 434$ in tips.How much

finlep [7]

False.

6(x)+434=?
x= number of hours so problem can be rewritten as
6(37)+434
———
222+434=
656

3 0

2 years ago

A tree initially measured 18 feet tall. Over the next 3½ years, it grew to a final height of 35½ feet. During those 3½ years, wh

stellarik [79]

Answer:

The average yearly growth o

Explanation:

Given that the tree grew from 18 ft 35 1/2 feet in 3 1/2 years.

The growth within these years is:

35 1/2 - 18

= 35.5 - 18

= 17.5

Now, this averages:

17.5/3.5 (3.5 is the number of years)

= 5

The average is 5 ft per year

5 0

9 months ago

there are 641 boys and 490 girls in Greenland school age child makes eight art pieces for classroom decorations all the art piec

Alexeev081 [22]

Answer:

133

Step-by-step explanation:

8 0

2 years ago

Subtract. 8 1/4 - 5 2/3. PLEASE HELP

Naddika [18.5K]

Answer:

2.5833333333333333333

Step-by-step explanation:

3 0

2 years ago

How to differentiate ?

Bas_tet [7]

Use the power, product, and chain rules:

$y = x^2 (3x-1)^3$

• product rule

$\dfrac{\mathrm dy}{\mathrm dx} = \dfrac{\mathrm d(x^2)}{\mathrm dx}\times(3x-1)^3 + x^2\times\dfrac{\mathrm d(3x-1)^3}{\mathrm dx}$

• power rule for the first term, and power/chain rules for the second term:

$\dfrac{\mathrm dy}{\mathrm dx} = 2x\times(3x-1)^3 + x^2\times3(x-1)^2\times\dfrac{\mathrm d(3x-1)}{\mathrm dx}$

• power rule

$\dfrac{\mathrm dy}{\mathrm dx} = 2x\times(3x-1)^3 + x^2\times3(3x-1)^2\times3$

Now simplify.

$\dfrac{\mathrm dy}{\mathrm dx} = 2x(3x-1)^3 + 9x^2(3x-1)^2 \\\\ \dfrac{\mathrm dy}{\mathrm dx} = x(3x-1)^2 \times (2(3x-1) + 9x) \\\\ \boxed{\dfrac{\mathrm dy}{\mathrm dx} = x(3x-1)^2(15x-2)}$

You could also use logarithmic differentiation, which involves taking logarithms of both sides and differentiating with the chain rule.

On the right side, the logarithm of a product can be expanded as a sum of logarithms. Then use other properties of logarithms to simplify

$\ln(y) = \ln\left(x^2(3x-1)^3\right) \\\\ \ln(y) = \ln\left(x^2\right) + \ln\left((3x-1)^3\right) \\\\ \ln(y) = 2\ln(x) + 3\ln(3x-1)$

Differentiate both sides and you end up with the same derivative:

$\dfrac1y\dfrac{\mathrm dy}{\mathrm dx} = \dfrac2x + \dfrac9{3x-1} \\\\ \dfrac1y\dfrac{\mathrm dy}{\mathrm dx} = \dfrac{15x-2}{x(3x-1)} \\\\ \dfrac{\mathrm dy}{\mathrm dx} = \dfrac{15x-2}{x(3x-1)} \times x^2(3x-1)^3 \\\\ \dfrac{\mathrm dy}{\mathrm dx} = x(15x-2)(3x-1)^2$

7 0

2 years ago