Ask question

Ask question

All categories

1 year ago

7

The robotics club has created 10 racing robots for the end of year science fair. each robot has the same chance of winning the r

ace. what are the chances that robot a and robot b finish in the top three spots, but robot c is not in the top three?

1 answer:

Andreas93 [3]1 year ago

8 0

Answer: $\frac{7}{120}$

Step-by-step explanation:

You might be interested in

What is the product of 58 and 1,000

zysi [14]

58 * 1,000 = 58,000 its multiplication

5 0

2 years ago

Read 2 more answers

Find the aspect ratio of a computer screen that measures 12 inches by 16 inches.

alexdok [17]

Answer:

3:4

Step-by-step explanation:

That ratio would be 12:16, or 3:4.

8 0

2 years ago

Help me please! (Look at image.)

Svetradugi [14.3K]

4^2 = 16
so x must be greater than 16
answer
E. 17
F. 19

8 0

2 years ago

erica [24]

Answer:

20% decrease

Step-by-step explanation:

First, let's find the net decrease: Peter started at 80kg and his weight is now 64kg, which is a 16kg decrease. Next, we need to find what percentage of 80kg 16kg represents. First, let's find what part of 80 is 16:

16/80 = 1/5

To convert this to a percent, we need to find an equivalent fraction to 1/5 with a denominator of 100. To do this, we can multiply the numerator and denominator of 1/5 by 20, giving us 20/100, or 20%.

4 0

2 years ago

Solve x'=5t(sqrt(x)) x(0)=1

LekaFEV [45]

Answer:

$2\sqrt{x}=\frac{5t^2}{2}+2$

Step-by-step explanation:

Given: $\frac{\mathrm{d} x}{\mathrm{d} t}=5t\sqrt{x}\,,\, x(0)=1$

Solution:

A differential equation is said to be separable if it can be written separately as functions of two variables.

Given equation is separable.

We can write this equation as follows:

$\frac{dx}{\sqrt{x}}=5t\,dt$

On integrating both sides, we get

$\int \frac{dx}{\sqrt{x}}=\int 5t\,dt$

Formulae Used:

$\int \frac{1}{\sqrt{x}}=2\sqrt{x}\,\,,\,\,\int t\,dt=\frac{t^2}{2}$

So, we get solution as $2\sqrt{x}=\frac{5t^2}{2}+C$

Applying condition: x(0) = 1, we get $C=2$

Therefore, $2\sqrt{x}=\frac{5t^2}{2}+2$

8 0

2 years ago