First find the equation of the line:
y - b = m (X - a)
y - 5 = 2/3 (X + 2)
3y - 15 = 2 (X + 2)
3y - 15 = 2x + 4
3y = 2x + 19
Then sub the y-value of A into the equation to find X.
y = 3
3(3) = 2x + 19
9 = 2x + 19
2x = 10
X = 5
And sub the X-value of B into the equation to find y.
X = -2
3y = 2(-2) + 19
3y = -4 + 19
3y = 15
y = 5
The experimental probability that a woman will have two boys out of five children is equal to 0.4 or 40%.
Answer:
The solution is (-17,80.5) and (1,8.5)
Step-by-step explanation:
Equation 1 : 
Equation 2: 
Substitute the value of y from equation 2 in equation 1
Equation 1 :
After substitution :
Substitute the value of x = -17
y = -4x+12.5
y = -4(-17)+12.5
y=80.5
Substitute the value of x = 1
y = -4(1)+12.5
y=8.5
Hence the solution is (-17,80.5) and (1,8.5)
Ahh, the ol' trick word problems.
Okay so lets break this down.
So we have 7,000 square feet of work that must be done. We can lose the square feet part as it will only interfere with solving the problem.
So lets say we have 7,000 amount of work that needs to be done.
We know that our company can get 35 work done in one hour. Our company also works 10 hours per day so we can say we get 350 work done per day.
We need to figure out how much of the work we got done in four days so we can multiply it by 4 and get 1400 work in four days.
1400/7000 work has been complete. Lets simplify this.
14/70 work has been completed.
Now we need to find the percent using our good friend ratios.
14/70 = x/100
Then we use cross multiplication to solve and we get 20/100.
We have 20% of the work done.
Pro Tip: In real life, you can assume that when you are at 20% work done that it wont actually be 20% because your boss will want you to be done within 12 days. In real life, you would have 60% of it done and on to the next project!
I need a new job...
Answer:
The height at time of 12.1 seconds is approximately 729.2562 feet
Step-by-step explanation:
The general form of the quadratic regression equation is y = A + Bx + Cx²
The quadratic regression formula is given as follows;
Solving using an online quadratic regression calculator, gives;
A = 2.5643259
B = 246.6374865
C = -15.41986006
Substituting gives;
y = 2.5643259 + 246.6374865·x -15.41986006·x²
When time, x = 12.1, we have;
y = 2.5643259 + 246.6374865×12.1 -15.41986006×12.1²≈ 729.2562 feet
The height at time of 12.1 seconds ≈ 729.2562 feet.
