This simplifies to <u>8x-27</u> because -11x and +19x are like terms.
Answer:
They are not congruent
Step-by-step explanation:
In order to be congruent their angles have to be the same and angle A (60º) and D (40º) are different
Answer: 658 ways.
Step-by-step explanation:
To find the number of ways the number "r" items can be chosen from the available number "n", the combination formula for selection is used. This formula is denoted as:
nCr = n! / (n-r)! × r!
Where n! = n×(n-1)×(n-2) ... ×3×2×1.
If we have 6 accounting majors and 7 finance majors and we are to choose a 7-member committee from these with at least 4 accounting majors on the committee, then the possibilities we have include:
[4 accounting majors and 3 finance majors] Or [5 accounting majors and 2 finance majors] or [ 6 accounting majors and 1 finance major].
Mathematically, this becomes:
[6C4 × 7C3] + [6C5 × 7C2] + [6C6×7C1]
525 + 126 + 7 = 658 ways.
Note: it is 6C4 because we are choosing 4 accounting majors from possible 6. This applies to other selection possibilities.
Answer:
Step-by-step explanation:
We are given the following in the question:
The organizers estimate that the variation in distance flown by the athletes will be σ = 10 meters.
This will be stated by the null hypothesis.
It was claimed that the organizers are underestimating the variation and the variation in distance is greater than 10.
This will be stated by the alternate hypothesis.
The parameter for the given hypothesis is standard deviation, 
.
