<span><span><span><span>−<span>x2</span></span>−<span>4x</span></span>+5</span>>0</span>
Let's find the critical points of the inequality.<span><span><span><span>
−<span>x2</span></span>−<span>4x</span></span>+5</span>=0</span><span><span><span>
(<span><span>−x</span>+1</span>)</span><span>(<span>x+5</span>)</span></span>=0</span>(Factor left side of equation)<span><span><span><span>
−x</span>+1</span>=<span><span><span>0<span> or </span></span>x</span>+5</span></span>=0</span>(Set factors equal to 0)<span><span>
x=<span><span>1<span> or </span></span>x</span></span>=<span>−5</span></span>
Check intervals in between critical points. (Test values in the intervals to see if they work.)<span>
x<<span>−5</span></span>(Doesn't work in original inequality)<span><span><span>
−5</span><x</span><1</span>(Works in original inequality)<span>
x>1</span>(Doesn't work in original inequality)
Answer: −5<x<1
Answer:
Histogram
Step-by-step explanation:
A histogram is a representation of approximate numerical data distribution. It was first introduced by Karl Pearson. Constructing a histogram, requires one to "bin" (or "bucket") the range of values, or say, divide the entire range of values into a series of Intervals, thereafter, count how many values fall into each interval. The bins well be specified as consecutive, and or non-overlapping intervals of a variable. The bins (intervals) is best left to be adjacent, and are often (but not required to be) of equal size.
An example of where a histogram would be used, is that of the distribution of grades on a school exam or the sizes of pumpkins, divided by size group, in a pumpkin festival.
25x+30x= 1625
x+y= 60
Put into calculator and you get
x=35 y=25
Answer:
7/18
Step-by-step explanation:
Probability is the ratio of the number of possible outcomes to the number of total outcomes.
Given that there are 9 counters in a bag, 7 are green while 2 are blue.
the probability of picking at random a
Green counter = 7/9
Blue counter = 2/9
The probability that Ria takes one counter of each colour if 2 counter are picked as random is Green and Blue or Blue and Green
This is
=7/9 * 2/8 + 2/9 * 7/8
Recall that when a counter is picked the number of that ball available reduces and so does the total number of counter
=14/72 + 14/72
= 28/72
= 7/18