Cheddar cheese costs £7.50 for 1kg Marie buys 200g of cheese How much does she pay
1 answer:
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Answer:
R = - 0.9453
T = - 5.019
Pvalue = 0.212
Step-by-step explanation:
Given the data:
Lemon_Imports_(x)
230
264
359
482
531
Crash_Fatality_Rate_(y):
15.8
15.6
15.5
15.3
14.9
The Correlation Coefficient, R using a correlation Coefficient calculator is - 0.9453 ; this depicts a strong negative correlation between the dependent and independent variable.
The test statistic, T :
T = r / √(1 - r²) / (n - 2)
T = -0.9453/ √(1 - (-0.9453)²) / (5 - 2)
T = - 0.9453 / 0.1883329
T = - 5.019
The Pvalue using a Pearson Pvalue calculator ;
df = n - 1 = 5 - 2 = 3 ; r = - 0.9453
Pvalue = 0.212
We will find the rational zeros of <span>f(x) = 3x^3 -5x^2 - 12x + 20
1) Arrange in descending order: </span><span>f(x) = 3x^3 -5x^2 - 12x + 20
2) write down the factors of the constant term, 20.
1,2, 4, 5, 10, 20 - these could all be the possible values of p.
3) write down the factors of the leading coefficient, 3.
1,3 - these are the possible values of q.
.
4) write down all the possible values of p/q. both positive and negative values must be written down. Simplify
1/1 ; 1/3 ; 2/1 ; 2/3 ; 4/1 ; 4/3 ; 5/1 ; 5/3 ; 10/1 ; 10/3 ; 20/1 ; 20/3
1 ; 0.33 ; 2 ; 0.67 ; 4 ; 1.33 ; 5 ; 1.67 ; 10 ; 3.33 ; 20 ; 6.67
5) use the simplified p/q in both positive and negative values in the synthetic division. Pls. see attachment for my synthetic division.
Based on my computations, </span>a factor of the polynomial f(x) = 3x^3 -5x^2 - 12x + 20 is: x = -1.67 or x = -5/3
IF THESE ARE THE MISSING CHOICES:
<span>A)2x + 1 B)2x - 1 C)3x+5 D)3x - 5.
</span>
MY ANSWER IS: D) 3x - 5.
1) Arrange in descending order: </span><span>f(x) = 3x^3 -5x^2 - 12x + 20
2) write down the factors of the constant term, 20.
1,2, 4, 5, 10, 20 - these could all be the possible values of p.
3) write down the factors of the leading coefficient, 3.
1,3 - these are the possible values of q.
.
4) write down all the possible values of p/q. both positive and negative values must be written down. Simplify
1/1 ; 1/3 ; 2/1 ; 2/3 ; 4/1 ; 4/3 ; 5/1 ; 5/3 ; 10/1 ; 10/3 ; 20/1 ; 20/3
1 ; 0.33 ; 2 ; 0.67 ; 4 ; 1.33 ; 5 ; 1.67 ; 10 ; 3.33 ; 20 ; 6.67
5) use the simplified p/q in both positive and negative values in the synthetic division. Pls. see attachment for my synthetic division.
Based on my computations, </span>a factor of the polynomial f(x) = 3x^3 -5x^2 - 12x + 20 is: x = -1.67 or x = -5/3
IF THESE ARE THE MISSING CHOICES:
<span>A)2x + 1 B)2x - 1 C)3x+5 D)3x - 5.
</span>
MY ANSWER IS: D) 3x - 5.