Using the t-distribution, the t-statistic for the two-sided test would be of t = 0.7.
<h3>What is the test statistic for a t-distribution hypotheses test?</h3>
The test statistic is given by:
The parameters are:
- is the sample mean.
- is the expected value.
- s is the standard deviation of the sample.
The values of the parameters are given as follows:
.
The sample mean is:
Hence the test statistic is:
t = 0.7.
More can be learned about the t-distribution at brainly.com/question/16194574
<h3>#SPJ1</h3>
Since it is perpendicular to y=3x-1, the slope must be a negative reciprocal.
there the slope of the perpendicular line is
So now we have,
To find b, we use the point that the line passes through and substitute it to the y and x values.
which would give us b=5/3
Therefore, the equation of the line is
They are both equal to 2/10 because 4/10 divided by 2 is the same as 4/10 x 1/2
Answer: h = 14.1 ft
Step-by-step explanation:
The given triangle is an isosceles right angle triangle because the two sides or legs of the triangle are equal. To determine h, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
Hypotenuse = 20ft
opposite side = adjacent side = h feet
Therefore
20² = h² + h²
400 = 2h²
h² = 400/2 = 200
Taking square root of both sides, it becomes
h = √200
h = 14.1 ft