Answer is :
cos⁻¹[(-1-4√7)/(√17, √8) = 173.33° ≈ 173°
2 ham/wheat 5 ham/white 9 ham/rye 4 turkey/white 5 turkey/wheat 5 turkey/rye
I think this is right
One of the triangle inequalities state that the sum of any 2 sides must be larger than the third side. More importantly, the sum of the smaller two side must be longer than the largest side. So your smaller 2 sides are 1.5 and 2......which has a sum of 3.5. Your third side is 4. So the sum of the 2 sides is NOT greater than the third side.....so these cannot be the sides of a triangle. Hope this helped.
The answer is a = -4 and b = 0.
We can solve this by looking at a system of equations using what was given
a + b = -4
a - b = -4
Then add then two equations together.
2a = -8 ---> then divide by 2 for your a value
a = -4
You can then put that into the equation and solve for b.
-4 + b = -4 ---> add 4 to both sides
b = 0
Using a calculator with the binompdf and binomcdf features, I can calculate these values. My calculator is a TI-83 plus, and the features are found under the 2nd, Vars keys (Scroll up or down until you see them).
If "exactly" is to be found, use binompdf:
binompdf(number of trials, probability of success, exactly number)
ANSWER for exactly 3: binompdf(8, 0.5, 3) = 0.21875 = 21.875%
If "at least" is to be found, use binomcdf:
binomcdf(number of trials, probability of success, at least number - 1)
ANSWER for at least 6: binomcdf(8, 1/2, 5) ≈ 0.8555 ≈ 85.55%
If "at most" is to be found, use binomcdf:
binomcdf(number of trials, probability of success, at most number)
ANSWER for at most 3: binomcdf(8, 0.5, 3) ≈ 0.3633 ≈ 36.33%