Answer:
Kindly check explanation
Step-by-step explanation:
Given that :
Sample size, n = 39
Correlation Coefficient, r = 0.273
The hypothesis test to examine if there is a positive correlation :
H0 : ρ = 0
If there is a positive correlation, then ρ greater than 1
H0 : ρ > 1
The test statistic :
T = r / √(1 - r²)/(n - 2)
T = 0.273 / √(1 - 0.273²)/(39 - 2)
T = 0.273 / 0.1581541
T = 1.726
The Pvalue using a Pvalue calculator can be be obtained using df = n - 2, df = 39 - 2 = 37
The Pvalue = 0.0463
α= .10 and α= .05
At α= .10
Pvalue < α ; Hence, we reject H0 and conclude that a positive correlation exists
At α= 0.05 ;
Pvalue < α ; Hence, we reject H0 and conclude that a positive correlation exists
Answer:
DG = 30
Step-by-step explanation:
Given:
DH = 6
DE = 4
EF = 16
Required:
DG
Solution:
DG = DH + HG
DG = 6 + HG
Let's find HG
Given that HE is parallel to the third side of ∆DGF, based on the side-splitter theorem, the other two sides of ∆DGF are divided proportionally.
Therefore,
DH/HG = DE/EF
6/HG = 4/16
Cross multiply
HG*4 = 16*6
HG = 96/4
HG = 24
✔️DG = 6 + HG
DG = 6 + 24
DG = 30
Answer:
A right angle.
Step-by-step explanation:
65+25 =90
Answer:
CosC = 
Step-by-step explanation:
Cos C = 
<em>Where Adjacent = 24 , Hyp = 40</em>
Cos C = 
<u><em>In simplest form</em></u>
CosC = 
Answer:
The answer is 41cmHg of pressure.
Step-by-step explanation:
If the volume of the gas is inversely proportional to the pressure that the gas exerts within the defined space that it is in, then for a gas that has a 50cmHg pressure at 9.84 liters of volume, the pressure it will have at 12 liters of volume can be found as Pfinal = (9,84 x 50) / 12 = 41cmHg of pressure for the same gas.
I hope this answer helps