We have that
<span>y=−2x+5 --------> equation 1
3x−4y=2---------> equation 2
</span><span>substituting 1 in 2
</span>3x-4*(-2x+5)=2--------> 3x+8x-20=2--------> 11x=22-----> x=2
y=-2x+5-----> -2*2+5-----> y=1
the solution is
x=2
y=1
Answer:
a. Probability distribution is given below
Scores Ex, x. 1 2 3 4 5
P(X=x). 0.05 0.09 0.03 0.42 0.41
b. Scores mg, Y 1. 2. 3. 4. 5
P(Y=y). 0.04. 0.1. 0.12 0.46 .28
c. probability that a randomly selected senior executive will report a job satisfaction score of 4 or 5.
P(4 or 5) =p(x=4) +p(x=5)
= 0.42 + 0.41=0.83
Answer:
X to the second power + 5x + 6
Step-by-step explanation:
distribute (X + 2) and (X + 3)
you should get X to the second power + 3x + 2x + 6
then you add like terms (3x + 2x)
then you should get X to the second power + 5x + 6
Answer:
Volume = 100 cm³
Surface area of the square pyramid = 145 cm²
Step-by-step explanation:
Given:
Perpendicular height = 12cm
Square length = 5cm
Find:
Volume
Surface area of the square pyramid
Computation:
Area of base = side²
Area of base = 5²
Area of base = 25 cm²
Volume = (1/3)(A)(h)
Volume = (1/3)(25)(12)
Volume = 100 cm³
Surface area of the square pyramid = A + 1/2(P)(h)
Perimeter square pyramid = 4(s)
Perimeter square pyramid = 4(5)
Perimeter square pyramid = 20 cm
Surface area of the square pyramid = 25 + 1/2(20)(12)
Surface area of the square pyramid = 145 cm²
-3(2)(-4)+4(2)-3=24+8-3=29
The value is 29
