Answer:
The probability of falling into a type I error, when testing a hypothesis test, consists of:
Probability of rejecting the null hypothesis when, in reality, this hypothesis is true.
Probability of rejecting the null hypothesis when, in reality, this hypothesis is true, is:
Probability of Affirm that Chemistry exam will NOT cover only chapters four and five, since the Chemistry exam will cover only chapters four and five.
That is, alpha is the probability that Carmin decides to study additional chapters, unnecessarily.
Step-by-step explanation:
Answer:
x = 41/3
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
7(1x - 3) = 4(x + 5)
<u>Step 2: Solve for </u><em><u>x</u></em>
- Simplify: 7(x - 3) = 4(x + 5)
- Distribute: 7x - 21 = 4x + 20
- Subtract 4x on both sides: 3x - 21 = 20
- Add 21 on both sides: 3x = 41
- Divide 3 on both sides: x = 41/3
<u>Step 3: Check</u>
<em>Plug in x to verify it's a solution.</em>
- Substitute: 7(1(41/3) - 3) = 4(41/3 + 5)
- Multiply: 7(41/3 - 3) = 4(41/3 + 5)
- Subtract/Add: 7(32/3) = 4(56/3)
- Multiply: 224/3 = 224/3
Here, we see that 224/3 is indeed equivalent to 224/3. ∴ x = 41/3 is a solution to the equation.
And we have our final answer!
Answer:
r = 2/3
Step-by-step explanation:

if:


then:


Hope this helps
Step-by-step explanation:
this is really simple : we only need to put the given x and y coordinate values into both equations and see, if both equations remain true.
(-2, -1) means x = -2, y = -1
first equation :
-1 = 3×-2 + 5 = -6 + 5 = -1
so, -1 = -1
true.
second equation :
-2 + -1 = -3
-3 = -3
true.
therefore, (-2, -1) is a solution to the linear system.
the point is the crossing point of both lines.
Answer: f(x) = -9x
Step-by-step explanation:
Remember that f(x) is the same thing as y.
y = 3x + 6x + 2y
First, combine like terms to get...
y = 9x + 2y
Then, subtract -2y from each side to get..
-y = 9x
Next, you divide by -1 and get...
y = -9x ,which is your answer
Hope this is helpful :)