Answer:
1.2%
Step-by-step explanation:
We know that for every 500 computers, 6 are defective. So, to know what percentage of computers are defective on average, we can do a rule of three:
500 computers -> 6 defective
100 computers -> X defective
500/100 = 6/X
X = 100 * 6 / 500 = 1.2
So, in average, for every 100 computers, 1.2 are defective, so the percentage is 1.2% (1.2 for every 100)
With the number set: {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}, what is the probability of choosing an even number?
lilavasa [31]
Answer:
=7
Step-by-step explanation:
sum of all no÷total no
=1+2+3+4+5+6+7+8+9+10+11+12+13 ÷ 13
=91 ÷ 13
=7
Answer:
∠13 ≅ ∠16 - Vertical Angles Theorem
∠10 ≅ ∠14 - corresponding angles for parallel line p and q cut by the transversal s
∠5 ≅ ∠13 - corresponding angles for
parallel lines r and s cut by
the transversal q
∠1 ≅ ∠5 - corresponding angles for
parallel lines r and s cut by
the transversal q
Step-by-step explanation:
Linear Pair Theorem won't be used. When you look at the lines on the image you see that 13 and 16 are vertical from each other making there answer the vertical angles theorem. When you look at 10 and 14 you see that they lie on p and q with s going in the center of them. When you look at 5 and 13 they lie on s and r with q going down the middle of them. With 1 and 5 they also lie on p and q but r goes down the center of them instead of s.
Whenever a problem says "one number" and "another number" we can substitute x and y. for this we have x=2y+1 and xy=1. since we know the value of x (2y+1) we can substitute it for the other equation to get (2y+1)y=10. simplify to get 2y^2+y=10. from here you can do a few methods to solve this, but the simplest in my opinion is by factoring.
In order to factor it must be equal to 0, so we have 2y^2+y-10=0. We factor this and get y=5 (we also get y=-4 but it is an extraneous root). now we can plug that into either equation and find that x=2.
this means our two numbers are 5 and 2
