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viva [34]
3 years ago
11

A company has 2 photocopy machines. The probability that machine a will break down on a given day is 2%. The probability that a

machine b will break down is 2.5%. What is the probability that both machines will breakdown on a given day?
Mathematics
1 answer:
Y_Kistochka [10]3 years ago
5 0
The two events have independent probabilities.

To get the probability of both of the events happening, you should multiply them:

2% (or 0.02) * 2.5% (or 0.025) = 0.0005 or 0.05%

The probability that both machines will break down on a given day is 0.05%.
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Distance on graph
Mnenie [13.5K]
The graph can be divided into two shapes. A rectangle and a right triangle.

The distance that the rover will cover if it completes one circuit can be computed using the Pythagorean theorem and adding the sides of the rectangle.

Rectangle:
Width = 4 - 2 = 2 meters 
Length = 11 - 2 = 9 meters

Triangle = 16 - 2 = 14 ; 14 - 2 = 12 meters  (this is the short leg)
long leg of the triangle = length of the rectangle = 9 meters.

12² + 9² = c²
144 + 81 = c² 
225 = c² 
√225 = √c²
15 = c

Point A to B = 4 - 2 = 2 meters
Point B to C = 15 meters
Point C to D = 16 - 2 = 14 meters
Point D to A = 11 - 2 = 9 meters

Total distance traveled = 2 + 15 + 14 + 9 = 40 meters.
6 0
3 years ago
Which pair of numbers is relatively prime?
Vladimir [108]
I think it is 21 and 50. The only common factor they have is 1.


All the others are divisible by 1 & 3.
3 0
3 years ago
Read 2 more answers
Write this number in standard form. 300+80+0.9+0.06+0.001
Lina20 [59]

Hey there! I'm happy to help!

First, let's add the hundreds and the tens.

300+80=380

We see that there is nothing in the ones place, so we keep our ones place 0 and we move onto adding the tenths.

380+0.9=380.9

We add the hundredths.

380.9+0.06=380.96

And finally, we add the thousandths.

380.96+0.001=380.961

Therefore, this number in standard form is 380.961.

Have a wonderful day! :D

5 0
3 years ago
Read 2 more answers
This graph represents which function?
il63 [147K]

Answer:

A

Step-by-step explanation:⁻7+

4 0
4 years ago
4. Name the first five terms of the arithmetic sequence. a1 = -35, d=4​
eduard

Answer:

Step-by-step explanation:

We first have to write the equation for the sequence, then finding the first five terms will be easy. Follow the formatting:

a_n=a_1+d(n-1) and we are given enough info to fill in:

a_n=-35+4(n-1) and

a_n=-35+4n-4 and

a_n=-39+4n or in linear format:

a_n=4n-39 where n is the position of the number in the sequence. We already know the first term is -35.

The second term:

a_2=4(2)-39 so

a_2=8-39 and

a_2=-31

The third term:

a_3=4(3)-39 and

a_3=12-39 so

a_3=-27 and we could go on like this forever, but the nice thing about this is when we know the difference all we have to do is add it to each number to get to the next number.

That means that the fourth term will be -27 + 4 which is -23.

The fifth term then will be -23 + 4 which is -19. You can check yourself by filling in a 5 for n in the equation and solving:

a_5=4(5)-39 and

a_5=20-39 so

a_5=-19

7 0
3 years ago
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