<em>*To solve an inequality, it's the same as solving an equation; isolate the variable to one side.</em>
For this, all you need to do is divide both sides by -4. And since we are dividing by a <u>negative</u>, flip the inequality sign and your inequality is 
Now to graph this. Since x can be "equal to" 1/4 ( ≤ = less than or equal to), you will have a <u>closed circle on 1/4.</u> And since x can also be "less than" 1/4, <u>the arrow will be going to the left of 1/4.</u>
Answer:
Answer is 225.
We have to find the sum of 15 terms of the series
sigma 1 to 15 (2n-1)
This can be split as per summation terms as
sigma 2n - sigma 1
sigma 2n can again be simplified by taking 2 outside
sigma 2n= 2 times sum of natural numbers of 1 to 15
= 2(15)(16)/2= 240
sigma 1= 1+1+...15 times= 15
Hence final answer is
= 2 times sigma n - (n) = 240-15 = 225.
Step-by-step explanation:
Answer:
In mathematics, exponential decay describes the process of reducing an amount by a consistent percentage rate over a period of time. It can be expressed by the formula y=a(1-b)x wherein y is the final amount, a is the original amount, b is the decay factor, and x is the amount of time that has passed.
Step-by-step explanation:
At the start, you have 10 marbles in total and 6 red marbles. The probability of the first event is 6/10.
Since you do not place the marble back in, you now have 9 marbles in total and 3 blue marbles. This probability of the second event is 3/9.
To find the probability of both events occurring, we multiply the two probabilities together. (6•3)/(10•9)=18/90=1/5
Thus, there is a 20% chance of drawing a red marble then a blue marble without placing the red marble back in the bag.
Answer:
the slope is 3
Step-by-step explanation:
in an equation in y=MX+b form
the slope is m so it's 3
