Answer:
1. An odd number of the factors were negative
Step-by-step explanation:
If we have 4 numbers, for example 2 x 2 x 2 x 2 and an odd number of them were negative so we could have two outcomes: -2 x 2 x 2 x 2 and -2 x -2 x -2 x 2 each in the end would get -16. Now -16 multiplied by -2 gets 32 which is positive.
Answer:
± 60
Step-by-step explanation:
aₙ = a₁ * rⁿ⁻¹
a₇ = 30 = a₁ * r⁷⁻¹ = a₁ * r⁶ (1)
a₅ = 120 = a₁ * r⁵⁻¹ = a₁ * r⁴ (2)
(1)/(2): 30/120 = 1/4 = r²
r = ± 1/2 or ± 0.5
a₁ = a₇/r⁶ = 30/0.5⁶ = 1920
a₆ = 1920 * (± 1/2)⁶⁻¹ = 1920 * ± 1/32 = ± 60
Answer:
- f(x) = 5x + 10 and g(x) = 0.2x -2
- f(x) = 1/4x -1 and g(x) = 4x + 4
Step-by-step explanation:
f and g will be inverses if f(g(x)) = x.
A — f(g(x)) = 5(0.2x -2) +10 = x -10 +10 = x . . . . . inverses
B — f(g(x)) = (±√x+3)^2 +3 = x ±6√x +9 +3 ≠ x . . . . . not inverses
(even if it is g(x) = ±√(x+3), the functions are still not inverses)
C — 1/2(2x -7) +7 = x -7/2 +7 = x +7/2 ≠ x . . . . . not inverses
D — 1/4(4x +4) -1 = x +1 -1 = x . . . . . inverses
Probabilities of Q are 1,4, 16, 64 are 312 2 8181818 , E(Q)=20.88 and 12.5% information revealed. Wheel is spin twice 0.2815.
When we are not sure about the outcome we can make possible probabilities about the situation. Therefore, it is the maximum and possible chances of something to be happen.
Step 1
Angle of one complete spin = 360°
Q=16=90° Q=6490"
Q=4-450
Q=1=135°
Here
P(Q16) = P(Q= 64)
=90/36
=1/4
Step 2
Expected value E(Q) = xP(x) E(Q) = 1x+4x+16x+64 x2/8
Step 3
c)
We learn Q=4
P(Q=4)=1/8=0.125
12.5 % information is revealed.
Please refer to solution in this step.
To learn more about probabilities
brainly.com/question/11234923
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Answer:
The minimum monthly income required by the lender is $5214.30
Step-by-step explanation:
Here, we want to calculate the minimum monthly income required by the lender
From the question, we have that the monthly payment must not exceed 28% of the buyer’s monthly income
So in this case, let the monthly income be x
So therefore;
28% of x = 1460
Thus;
28/100 * x = 1460
28x = 100 * 1460
x = (100 * 1460)/28
x = 5214.30