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.
Answer: there were 854 buttons in bag a
Step-by-step explanation:
4342 = a + b + c
b = a + 18
c = 3b
4342 = a + (a + 18) + 3(a + 18)
4342 = a + a + 18 + 3a + 54
4342 = 5a + 72
-72 -72
4270 = 5a
/5 /5
854 = a
Answer:
For angle B which is 50 degrees,
hypotenuse = AB =?
Adjacent = BC = 2 units......(given)
cos 50 = adjacent / hypotenuse
0.643 = 2 / AB. .....(as cos 50 = 0.643 approx)
AB * 0.643 = 2
AB = 2 / 0.643
AB = 3.11 units(approx)
Angle FJK is 61°
Angle FKJ is 18°
Round to 4,800 because 2 &It;5.
