Hey!
You're right! This equation can definitely be solved by performing two operations on both sides. Let me show you how it's done.
First, let's write out our equation.
<span><em>Original Equation :</em>
</span>x + 53 = 15
Now that that's done, we'll be performing two operations on both sides. The operation we'll want to do is subtracting both sides of the equation by 53. We do this to get x on its own.
<em>Original Equation :</em>
x + 53 = 15
<em>New Equation {Added Subtract 53 to Both Sides} :</em>
x + 53 - 53 = 15 - 53
Now we have to solve the equation. Let's do the left side first.
<em>Left Side of the Equation :</em>
x + 53 - 53
<em>Left Side of the Equation {Solved} :</em>
x
Now, we'll solve the right side of the equation.
<em>Right Side of the Equation :</em>
15 - 53
<em>Right Side of the Equation {Solved} :</em>
-38
Now we can put both solutions to both sides of the equation together.
<em>New Equation :</em>
x = -38
Since this cannot be simplified any farther, this is our final answer. And that's it!
<em>So, now we know that in the equation x + 53 = 15,</em> x = -38
Hope this helps!
- Lindsey Frazier ♥
Answer: 11.9%
Step-by-step explanation:
Given : On a stretch of Interstate-89, car speed is a normally distributed variable with 
mph and 
mph.
Let x be a random variable that represents the car speed.
Since , 
z-score corresponds x = 73 , 
Required probability :
[using z-value table.]
Hence, the approximate percentage of cars are traveling faster than you = 11.9%
Answer:
Monica = 48.50
Samuel = 24.25
Kara = 17.25
Step-by-step explanation:
First you write equations as you are reading the text:
m = 2s ("Monica earned twice as much as Samuel")
s = k+7 ("Samual earned 7 more than Kara")
m = 48.50
Next, you convert these equations to solve for s and k respectively.
So, if m=2s, then s=m/2:
s = m/2 = 24.25
Likewise, if s=k+7, then k=s-7
k = s-7 = 17.25
The difference between greatest and least is 48.50 - 17.25 = 31.25
Answer:
Option D
Step-by-step explanation:
Probability is the likelihood or chance of an event occurring.
Probability = the number of ways of achieving success
/the total number of possible outcomes
For example, the probability of flipping a coin and it being heads is ½, because there is 1 way of getting a head and the total number of possible outcomes is 2 (a head or tail). We write P(heads) = ½ .
The probability of something which is certain to happen is 1.
The probability of something which is impossible to happen is 0.
The probability of something not happening is 1 minus the probability that it will happen.
By definition we can see that probability lies between 0 and 1 only both inclusive
Hence option D is right.
