2. a=1, If -a=1, then a =
2 answers:
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Answer:
Answer:
Area: T = 18
a. The triangle area using Heron's formula: T= sqrt(s(s−a)(s−b)(s−c) )
b. 2
c. h = 5.69
d. T = 18
Step-by-step explanation:
a. T= sqrt(s(s−a)(s−b)(s−c) )
T=sqrt( 11.16(11.16−10)(11.16−6)(11.16−6.32) )
T= sqrt(324 )
T =18
b. We compute the base from coordinates using the Pythagorean theorem
c= sqrt( ((−2−4)^2)+ ((1−3) ^2) )
c= sqrt(40) = 2sqrt(10)
c. Calculate the heights of the triangle from its area
Answer:
We conclude that average reflectometer reading for a new type of paint is greater than 20
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 20
Sample size, n = 13
Alpha, α = 0.05
First, we design the null and the alternate hypothesis
Formula:
Degree of freedom = n - 1 = 13 - 1 = 12
Now, we calculate the p-value with the help of standard table.
P-value = 0.004
Since, the p-value is less than the significance level, we fail to accept the null hypothesis and reject it.
Thus, there is enough evidence to support that average reflectometer reading for a new type of paint is greater than 20