3.122
The process to getting this comes in many steps. Firstly, you need to find the angles for JLK and MLJ. To find JLK use the arcsin function using the opposite side and the hypotenuse.
Arcsin(Opp/Hype) = JLK
Arcsin(.5) = JLK
30 degrees = JLK
This means MLJ = 31 degrees since they add up to 61 degrees.
Now we need to find the length of LJ, which we can do using the Pythagorean Theorem.
3^2 + JL^2 = 6^2
9 + JL^2 = 36
JL^2 = 27
JL =
Now that we have the angle of MLJ and the length of JL, we can use the tangent function to find MJ.
Tan(angle) = opp/adj
Tan(31) = MJ/
Tan(31) = MJ
3.122 = MJ
Answer:
Kindly check explanation
Step-by-step explanation:
xbar = 2.6
Sample size, n = 100
s = 0.4
Mean, μ = 4
The test statistic :
(xbar - μ) ÷ s/sqrt(n)
(2.6 - 4) ÷ 0.4/sqrt(25)
1.4 ÷ 0.08
= −17.5
Critical tvalue for 95% confidence interval :
df = n - 1 = 25 - 1 = 24
Tcritical at 0.05/2; df
Tcritical = ±2.064
Since, Tstatistic value does not fall within the Tcritical value ±2.064, we reject the Null
Using the p value from Tstatistic calculator :
P value at t = - 17.5 at 0.05 < 0.000001
Since p value is < 0.05, we reject H0.
Answer:
T = 1.345
Step-by-step explanation:
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 15 - 1 = 14
80% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 14 degrees of freedom(y-axis) and a confidence level of ). So we have T = 1.345
8 . 25 % is equal to 0.0825 as a decimal fraction
Final Bill = 450 + 0.0825 * 450
= $487.13 answer