Answer: 80°
Step-by-Step Explanation:
By Angle Sum Property of a Triangle, all angles in a Triangle add up to 180°
Finding the Value of ‘x’ :-
2x + 3x + 4x = 180
5x + 4x = 180
9x = 180
x = 180/9
=> x = 20
Finding each Angle :-
2x = 2(20) = 2 * 20 = 40°
3x = 3(20) = 3 * 20 = 60°
4x = 4(20) = 4 * 20 = 80°
Hence, the Largest Angle is 80°
You should use a T distribution to find the critical T value based on the level of confidence. The confidence level is often given to you directly. If not, then look for the significance level alpha and compute C = 1-alpha to get the confidence level. For instance, alpha = 0.05 means C = 1-0.05 = 0.95 = 95% confidence
Use either a table or a calculator to find the critical T value. When you find the critical value, assign it to the variable t.
Next, you'll compute the differences of each pair of values. Form a new column to keep everything organized. Sum everything in this new column to get the sum of the differences, which then you'll divide that by the sample size n to get the mean of the differences. Call this dbar (combination of d and xbar)
After that, you'll need the standard deviation of the differences. I recommend using a calculator to quickly find this. A spreadsheet program is also handy as well. Let sd be the standard deviation of the differences
The confidence interval is in the form (L, U)
L = lower bound
L = dbar - t*sd/sqrt(n)
U = upper bound
U = dbar + t*sd/sqrt(n)
What is the mode of 5, 12, 11, 5, 6, 19, 5, 7, 8, 6, 5, 11, 8?<br><br>
8<br>
5<br>
11
Alinara [238K]
The mode is the most common number in the list.
I see four 5s, which is more than two 11s or two 8s or two 6s or one of everything else.
Answer: 5
Answer:
Step-by-step explanation:
f(x)/g(x)=(6x+2)/(x-7)
The only restriction upon the domain, possible values of x, is division by zero is undefined. So x cannot equal 7.
So the domain is all real numbers except 7. In interval notation the domain is
x=(-oo, 7),(7, +oo)
Diagrams make explanations a lot easier so I created one, see bottom for the picture.
As GHF are all midpoints, that means the lines that connect them are half of the opposite sides.
CD = 2HF
DE = 2GF
CE = 2GH
As HF is 2x CD, and CD = 24:
HF = CD ÷ 2
HF = 24 ÷ 2 = 12
As DE = 2x GF and DF is 9:
DE = 2 x 9
DE = 18
As CE = 2x GH and GH = 7:
CE = 2 x 7
CE = 14
Hope this helps!
