Answer:
y = -5x + 15
Step-by-step explanation:
10x + 2y = 30
Subtract 10x from both sides.
2y = -10x + 30
Divide both sides by 2.
y = -5x + 15
For the series:
- 5 + ( - 1 ) + 3 + 7 + 11
common difference between the numbers is 4 and a 1 = -5
The series in sigma notation:
4
∑ ( 4 i - 5 )
i =0
P(J / R) = P (J and R) / P(R)
<span>0.8 = P (J and R) / 0.6 </span>
<span>P (J and R) = 0.6 * 0.8 = 0.48 [Probability John practicing and it is raining] </span>
<span>P(J / NR) = P (J and NR) / P(NR) </span>
<span>0.4 = P (J and NR) / (1 - 0.6) = P (J and NR) / 0.4 </span>
<span>P (J and NR) = 0.4 * 0.4 = 0.16 [Probability John practicing and it is not raining] </span>
<span>Hence; </span>
<span>Propability of John practicing regardless of weather condition is </span>
<span>P(John Practicing) = 0.48 + 0.16 = 0.64</span>
C. 25(-5) = 125 this is the answer
Answer:
H0 : ρ = 0
H1 : ρ ≠ 0
Test statistic = 1.197
Pvalue = 0.2335
There is no correlation between the two variables
Step-by-step explanation:
The null and alternative hypothesis :
H0 : No correlation exist,
H1 : Correlation exist
H0 : ρ = 0
H1 : ρ ≠ 0
Test statistic, T = r / √(1 - r²) / (n - 2)
T = 0.067 / √(1 - 0.067²) / (320 - 2)
T = 0.067 / √(0.995511 / 318)
T = 0.067 / 0.0559512
T = 1.197
The Pvalue obtained from the Rscore, at df = 320 - 2 = 318 is 0.2335
α = 5% = 0.05
The Pvalue > α ; we fail to reject the null and conclude that, there is no correlation between the two variables.
