Answer:
you haven't asked a question....
Answer:
The value of the test statistic is
Step-by-step explanation:
The formula for the test statistic is:
In which X is the statistic, is the mean, is the standard deviation and n is the number of observations.
In this problem, we have that:
So
The value of the test statistic is
Answer:
A
Step-by-step explanation:
Recall that for a quadratic equation of the form:
The number of solutions it has can be determined using its discriminant:
Where:
- If the discriminant is positive, we have two real solutions.
- If the discriminant is negative, we have no real solutions.
- And if the discriminant is zero, we have exactly one solution.
We have the equation:
Thus, <em>a</em> = 2, <em>b</em> = 5, and <em>c</em> = -<em>k</em>.
In order for the equation to have exactly one distinct solution, the discriminant must equal zero. Hence:
Substitute:
Solve for <em>k</em>. Simplify:
Solve:
Thus, our answer is indeed A.
Answer:
60.0735651 degrees
Step-by-step explanation:
So the hypotenuse is 50 and the vertical leg is 13
For the angle, you need to find the sine (opposite and hypotenuse)
sin(x) = 13/50
x = asin(13/50)
x = 60.0735651
Answer: w=5 , L= 2+2(5)=12
Step-by-step explanation:
L=2+2W
A= 60
LxW=60, now we will replace the L
(2+2W)(W)=60 we multiply
2w^2+2w=60
2w^2+2w-60=0 we divide by 2 the equation so we can work easier
w^2+w-30=0
find out w using the quadratic equation
we will get 2 solution,
w=5 and another solution is -6, which is not valid, as the side can not be negative