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:
(5x-7)-(2x+3)/6x+11 = 8/3
cross multiplying...
3( 5x - 7 -2x - 3) = 8 ( 6x + 11)
3( 3x - 10 ) = 48x + 88
9x - 30 = 48x +88
9x - 48x = 88 + 30
- 39x = 118
x = - 118 / 39
x = - 3.026 (approx.)
y=f(x³y-3),(y-2)
Step-by-step explanation:
(x,y)>(x-2+y3)
(x,y)(x+3,y-3) or (x+y)
hope it's help
The expression which is equivalent to 1/4 (5x + 6) is; Choice A: {5(1/4)x} + {6(1/4)x}.
According to the question:
- We are required to determine an expression which is equivalent to <em>1/4 (5x + 6).</em>
In a bid to expand the expression; we must multiply each term in the parenthesis by (1/4);
In essence; we have;
- <em>{5(1/4)x} + {6(1/4)x}</em>
Read more on multiplication;
brainly.com/question/847421
The confidence interval is
![15.8\pm0.905](https://tex.z-dn.net/?f=15.8%5Cpm0.905)
We first find the z-score for this confidence interval:
Convert 90% to a decimal: 90/100 = 0.9
Subtract from 1: 1-0.9 = 0.1
Divide by 2: 0.1/2 = 0.05
Subtract from 1: 1-0.05 = 0.95
Using a z-table (http://www.z-table.com) we see that the z-score for this value is directly between 1.64 and 1.65, so we will use 1.645.
The confidence interval is given by: