From the second equation,we get y=x+2
substituting this value of y in first equation,it becomes
x+2=x^2+5x-3
re arranging,we get
x^2+4x-5=0
using the method of splitting the middle term,we get
x^2+5x-x-5=0
x(x+5)-1(x+5)=0
(x-1)(x+5)=0
from here we get two values for x
x=1 & x= -5
<span>Yes, there will be a total of 6 distance markers that are placed at the same location as one of the other items. At 25% through the race there will be a water station and distance marker. At 40% through the race there will be another water station and distance marker. At 50% there will be a viewing station and two distance markers. At 60% there will be a water station and a distance marker. At 80%, another water station and distance marker. And finally, at 100% through the race there will be a water station, viewing station and two distance markers.</span>
Answer:
1/3
Step-by-step explanation:
There are 9 possible outcomes
We want the ones that have the same color which are GG , YY or BB
P ( same color) = number of same color outcomes / total outcomes
= 3/9
=1/3
Vowels = {a, e, i, o, u}
There are 5 vowels out of 26 letters in the English alphabet. This leaves 26-5 = 21 consonants.
The theoretical probability of getting a consonant is 21/26 = 0.8077 = 80.77% approximately
Wayne found the empirical probability of a consonant as 60% which is quite a distance away from the 80.77% mentioned. The discrepancy is likely because vowels are tended to be used quite often in many words.
Words that are composed of consonants only are quite rare, but they do happen. Example: "fly" is a word with only consonants. I'm considering y to be a consonant.