Answer:
6 times she can choose courses
 
        
             
        
        
        
Answer:
see below
Step-by-step explanation:

find common denominator and add the fractions in numerator and denominator:
1/x² + 2/y = y+2x²/x²y
5/x -6/y² =5y² -6x/xy²
(y+2x²)/x²y / (5y²-6x)/xy² change into multiplication
(y+2x²)/x²y * xy²/(5y²-6x)
 simplify
 simplify
y(y+2x²)/ x(5y²-6x)
 
        
             
        
        
        
Answer:
x=18, 96-24=72, x+3x=72, 4x=72, x=18
Step-by-step explanation:
 
        
             
        
        
        
Answer:
p-value = 0.1277
Step-by-step explanation:
p-value is the probability value tell us how likely it is to get a result like this if the Null Hypothesis is true.
Firstly we find the mean and standard deviation of the given data set.
⇒ Mean = 
⇒ Mean = 4.368

where,  is mean of the distribution.
 is mean of the distribution.
⇒ Standard Deviation = 0.034
 
Applying t- test:
Let out hypothesis is:
H₀: μ = 4.35
H₁: μ ≠ 4.35
Now, 
Here, μ = Population Mean = 4.35
 = Sample Mean = 4.368
= Sample Mean = 4.368
σ = Standard Deviation = 0.034
n = 10

Putting all values we get, t = 1.6777 with (10 -1) = 9 degree of freedom.
Then the p-value at 99% level of significance.
⇒ p-value = 0.1277
 
        
             
        
        
        
Answer:
(2,0) (-6,0)
Step-by-step explanation:
Solve: 
The answer you get is:
x=2, x=-6