Answer:
The solutions are 
, 
If you need to have them in a decimal form rounded to 3 decimals, the answers would be 
, 
Step-by-step explanation:
We are given the equation 
The first thing that can be done is to rearrange the terms so that they are in descending order of power. This makes it easier to work with
This gives us 
To find the solutions to this equation, we can use the quadratic formula, which will tell us that the solutions are equal to 
From our equation, we can gather that 
Now that we have our variables, we can plug them into the quadratic formula to get our solutions.
And now for our second equation
Answer: 2.5%
Step-by-step explanation:
Mean score = 65
Standard deviation = 5
Score (x) = >75
Z-score = [(score - mean) ÷ standard deviation]
Z - score = [(75 - 65) ÷ 5]
Z - score = 10 ÷ 5 = 2
P(score higher than 75) = 100 - 95 = 5/2 = 2.5%
Answer: 10/30
Step-by-step explanation:
There are 30 cards and 10 - 10= 0. So it’ll just be 10/30
Answer:
1/8
Step-by-step explanation:
f^-1 part makes it into a fraction
Answer:
x = -5
y = -5
Step-by-step explanation:
If you multiply the top equation by negative 2, you can add it to the bottom equation and cancel out the x:
-2(-x + 5y = -20) --> 2x - 10y = 40
Add this to the bottom equation top to bottom:
2x - 10y = 40
-2x + 4y = -10
You get:
-6y = 30
Then solve for y:
y = -5
Plug this back in for either equation and solve for x:
-x + 5(-5) = -20
-x -25 = -20
-x = 5
x = -5
Your answers are:
x = -5
y = -5
