Answer:
D. 68 (APEX).........................................................................................
The slope is -1.
because the slope formula gives you (-1-4)/(2-(-3)) which is -5/5 which also is -1
Answer:
x−3=x−3
Step-by-step explanation:
Evaluate (2x−1)−7, then set it equal to 2.
Subtract 7 from −1 = 2x−8
Solve 2x−8=2.
Move all terms not containing x to the right side of the equation.
Add 8 to both sides of the equation=2x=2+8
Add 2 and 8=2x=10
Divide each term by 2 and simplify.
Divide each term in 2x=10 by 2=2x/2=10/2
Cancel the common factor of 2
Cancel the common factor=10/2
Divide x by 1=x=10/2
Divide 10 by 2=x=5
Remove parentheses=x−3
List all of the solutions.
5=
(2x−1)−7=2=x=5
x−3=x−3
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:
A. 25.14%
B. 0.99%
C. 100%
D. 86.07%
Step-by-step explanation:
μ = 52, σ = 3
Each problem gives you an x value and asks you to find a probability. First calculate the z score(s), then look up in a table or use a calculator.
z = (x − μ) / σ
A. Find P(x < 50)
z = (50 − 52) / 3
z = -0.67
P(z < -0.67) = 0.2514
B. Find P(x > 59)
z = (59 − 52) / 3
z = 2.33
P(z > 2.33) = 1 − 0.9901 = 0.0099
C. Find P(x > 40)
z = (40 − 52) / 3
z = -4
P(z > -4) = 1 − 0 = 1
D. Find P(48 < x < 57)
z₁ = (48 − 52) / 3
z₁ = -1.33
z₂ = (57 − 52) / 3
z₂ = 1.67
P(-1.33 < z < 1.67) = 0.9525 − 0.0918 = 0.8607
I used a z score table. For more accurate answers, use a calculator.
