Answer:
Step-by-step explanation:
Given
---- probability that each component fails
Required
We understand that the system will overheat if at least 2 component fails; Assume the components are: x, y and z
The events that the system will overheat are: xyz', xy'z, x'yz and xyz
Where ' means that the component did not fail, and the probability is 1 - p (i.e. complement rule)
So, we have:
So, the required probability is:
Answer:
One integer A is divisible by another integer B,
if after dividing them, A ÷ B, the remainder is zero.
4,320 is divisible by 10, if there is an integer 'n' such that 4,320 = 'n' × 10.
Notice that dividing our numbers leaves no remainder:
4,320 ÷ 10 = 432 + 0;
So, 4,320 = 432 × 10;
=> 4,320 is divisible by 10.
10 is called a divisor (a factor) of 4,320.
10 | 4,320
The shorthand notation A | B means A divides B.
4,320 is a multiple of 10.
Note that this is also the first step of the Euclidean Algorithm, where the division of the numbers stops when a remainder equal to zero is reported.
4,320 is divisible by 10:
10 | 4,320
Step-by-step explanation:
Answer:
125 cups
Step-by-step explanation:
36/100*x = 45
18/50*x = 45
18x = 2250
x = 125
Answer:
B
Step-by-step explanation:
8 x 8 = 64
Hi! I'm happy to help!
To solve this problem, we need to divide the recipe amount in 1/6 amounts. So, we will do a fraction division problem like this:
15÷
This problem is hard to do with mixed numbers, so we need to turn 15 into an improper fraction. To do that we need to multiply 15 by 6, because that is our denominator, then add the extra .
(15×6)+1
90+1
91
So, our improper fraction would be, now, let's solve.
÷
It is difficult to do division problems on their own, so we can change this into an easier problem. We can do the inverse operation and turn this into multiplication. We do this by changing it to multiplication (obviously), then flip the second fraction.
×
Now, we just multiply the top by the top, and bottom by the bottom.
We could end it here, but we want a whole number, so, we simplify the number by dividing both the top and bottom by 6.
Anything over 1, is just a whole number
91.
<u>Therefore, the recipe should require 91 uses of the 1/6 cup.</u>
I hope this was helpful, keep learning! :D