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3 years ago

14

Suppose two fair six-sided dice are rolled. what is the probability that they will both come up with the same number?

1 answer:

marta [7]3 years ago

8 0

You have a 16.7% chance of rolling doubles

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Factor the polynomial.

mixer [17]

Answer:

Final answer is choice B. $(5x-2y)^2$

Step-by-step explanation:

We need to factor the given expression $25x^2-20xy+4y^2$

$25x^2-20xy+4y^2$

$=25x^2-10xy-10xy+4y^2$

$=5x(5x-2y)-2y(5x-2y)$

$=(5x-2y)(5x-2y)$

$=(5x-2y)^2$

Hence final answer is choice B. $(5x-2y)^2$

6 0

2 years ago

A cylinder has a diameter of 10 centimeters and a height of 15 centimeters. What is the surface area of the cylinder to the near

adelina 88 [10]

The surface area of the cylinder to the nearest tenth is: 628.3

The surface area without rounding is: 628.32

7 0

3 years ago

Complete the table of values for function f, and then plot the ordered pairs on the graph.

zepelin [54]

Answer:

See picture above

Explanation:

Hope this helps and have a nice day

7 0

2 years ago

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

How would 9/25 as a percent

Over [174]

36% is the answer to the question

8 0

3 years ago

Read 2 more answers