Answer:
D
Step-by-step explanation:
So we have the expression:
![(3x^2-5x+6)+(9-8x-4x^2)](https://tex.z-dn.net/?f=%283x%5E2-5x%2B6%29%2B%289-8x-4x%5E2%29)
Combine like terms:
![=(3x^2-4x^2)+(-5x-8x)+(6+9)](https://tex.z-dn.net/?f=%3D%283x%5E2-4x%5E2%29%2B%28-5x-8x%29%2B%286%2B9%29)
Add or subtract:
![=(-1x^2)+(-13x)+(15)](https://tex.z-dn.net/?f=%3D%28-1x%5E2%29%2B%28-13x%29%2B%2815%29)
Simplify:
![=-x^2-13x+15](https://tex.z-dn.net/?f=%3D-x%5E2-13x%2B15)
Our answer is D
Answer:
Total amount in Joe's savings account T = $448
Step-by-step explanation:
Given;
time t = 3 years
Annual rate r = 4%
Principal P = $400
Simple interest can be expressed as;
I = Prt/100
Substituting the given values;
I =400×4×3/100 = 4800/100
I = $48
Total amount in account T;
T = P + I = $400 + $48 = $448
Answer:
At a level of 95%, it is expected that the interval [0.45; 11.59] contains the value of the ductility in steel when its carbon content is 0.5%.
Step-by-step explanation:
Hello!
Considering the dependent variable:
Y: Ductility in steel.
And the independent variable:
X: Carbon content of the steel.
The linear regression was estimated and a prediction interval was calculated.
The prediction interval is calculated to predict a value that the variable Y (response variable) can take for a given value of the variable X (predictor variable) in the definition range of the linear regression line. Symbolically [Y/X=
]
In this case 95% prediction interval for Y/X=0.5
At a level of 95%, it is expected that the interval [0.45; 11.59] contains the value of the ductility in steel when its carbon content is 0.5%.
I hope it helps!
Answer: The eye color of people on commercial aircraft flights is a discrete random variable.
Step-by-step explanation:
A discrete random variable is a variable with real values that are countable.
A discrete random variable has a probability that is between 0 and 1 for each possible values and the sum of all these probabilities equals 1.
(4 2/3) / (4 1/5) = 1.111