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2 years ago

How can you use two-way tables to solve for probabilities?

Mathematics

1 answer:

Alona [7]2 years ago

8 0

Answer:

A two-way table is a way to organise data about two specific variables. This example shows a two-way table where the variables are gender and favourite sport.

Step-by-step explanation:

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4> Solve by using Laplace transform: y'+5y'+4y=0; y(0)=3 y'(o)=o

harina [27]

Answer:

$y=3e^{-4t}$

Step-by-step explanation:

$y''+5y'+4y=0$

Applying the Laplace transform:

$\mathcal{L}[y'']+5\mathcal{L}[y']+4\mathcal{L}[y']=0$

With the formulas:

$\mathcal{L}[y'']=s^2\mathcal{L}[y]-y(0)s-y'(0)$

$\mathcal{L}[y']=s\mathcal{L}[y]-y(0)$

$\mathcal{L}[x]=L$

$s^2L-3s+5sL-3+4L=0$

Solving for $L$

$L(s^2+5s+4)=3s+3$

$L=\frac{3s+3}{s^2+5s+4}$

$L=\frac{3(s+1)}{(s+1)(s+4)}$

$L=\frac3{s+4}$

Apply the inverse Laplace transform with this formula:

$\mathcal{L}^{-1}[\frac1{s-a}]=e^{at}$

$y=3\mathcal{L}^{-1}[\frac1{s+4}]=3e^{-4t}$

7 0

2 years ago

A circle has a radius of three. An arc in the circle has essential angle of 20°. What is the length of the arc

Nataliya [291]

Answer:

1.048

Step-by-step explanation:

$(thiter \div 360) \times \pi \times diameter$

$(20 \div 360) \times \pi \times 6$
After calculating the answer is 1.048

6 0

3 years ago

Which measurement is greater six feet or 2 meters

mojhsa [17]

A meter stick is approximately 39 inches. A yard stick is 36 inches, or 3 feet. So 2 meters is greater than 6 feet.

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3 years ago

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A gram weighs less than an ounce.

12345 [234]

1 ounce weighs more than a gram

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2 years ago

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JulsSmile [24]

A customer survey? Or a random sampling survey?

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3 years ago

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