Answer:
y=1/2x-5
Step-by-step explanation:
From the picture you can see that (0, -5) is a point on the function and that (2, -4) is another point. Using these you can find the slope of the function with the equation
We can substitute in the points so it looks like
or 
which is the slope of the function
Now, since the y-intercept is (0, -5) on the graph, the b part in the slope-intercept form of the equation would be -5, leaving us with the equation y=1/2x-5
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:
7.73
Step-by-step explanation:
So first find the area of the circle which is A= (pi)(r)^2
So you would have A=(pi)*3^2 = 28.27
Then you know that since the radius is 3 you know that the diameter is double of that and so your diameter is 6. Now if you draw a horizontal line that goes through the center and is parallel to one of the sqaure side you can see that that also is the diameter and you already figured out the diameter to be 6 so hence the side of the square are 6. Now find the area of the square which is 36 and then subtract 28.27 from it
36-28.27 = 7.73
<u>Answer:</u>
The correct answer option is: 
.
<u>Step-by-step explanation:</u>
We know that the 
term 
for an arithmetic sequence is given by:
where 
is the number of the position of the term.
We are supposed to find the first four terms of the sequence so we will substitute the values of from 1 to 4 in the given formula to get:
1st term:
2nd term:
3rd term:
4th term:
The odds of picking an ace or a 2 are 8 out of 52 or 8/52 or 2/13.
