Answer:
x = (b + 5/a)
Step-by-step explanation:
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operation, and equals:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
First, add 5 to both sides of the equation:
ax - 5 (+5) = b (+5)
ax = b + 5
Next, divide a from both sides to isolate the variable, x:
(ax)/a = (b + 5)/a
x = (b + 5)/a
x = (b + 5/a) is your answer.
~
Answer:
the probability the car was actually blue as claimed by the witness is 33.33%. This is a low percentage and thus, there is a reasonable doubt about the guilt of the client.
Step-by-step explanation:
We are given;
P(car is blue) = 1% = 0.01
P(car is green) = 99% = 0.99
P(witness said blue | car is blue) = 99% = 0.99
P(witness said blue | car is green) = 2% = 0.02
We will solve this by using Bayes’ formula for inverting conditional probabilities:
Thus;
P(car is blue | witness said blue) =
[P(witness said blue | car is blue) × P(car is blue)] / [(P(witness said blue | car is blue) × P(car is blue)) + (P(witness said blue | car is green) × P(car is green))]
Plugging in the relevant values gives;
(0.99 × 0.01)/((0.99 × 0.01) + (0.02 × 0.99)) = 0.3333
Thus, the probability the car was actually blue as claimed by the witness is 0.3333 or 33.33%
Answer:
I can help you with 1, 2 and 3.
Step-by-step explanation:
1. 2x + 3y = 1470
Subtract 2x from both sides: 3y= -2x+1470
Divide three from both sides: y= \frac{-2}{3}x +490
2. To graph it, you would first go to (0,490) because that is where the y-intercept is. Since slope is ride over run, you can either go up 2 left3 or down 2 right 3. You can proceed doing that until you have enough points to draw the line.
3. f(x)= -2/3x +490. This function means represents how many wraps are sold based on how many rolls are sandwich.
C=2πr
We have 3/4 of circumference
(3π/2)*2π=3/4.
and it is equal 5π/2.
(3/4)*C=(3/4)*2πr
5π/2 = 6πr/4
5/2=6r/4
r=(5/2)*(4/6)=(5*4)/(2*6)=5/3
r=5/3
Answer:
A
Step-by-step explanation:
Here, we are tasked with finding the order of magnitude.
What we are basically asked here is to write the number in powers of ten.
Thus
4,000,000 = 4 * 10^6
We can see that 10 is raised to the power of six here and thus we can say that the order of magnitude here is simply 6
