Solution:
<u>Step-1: Convert Equation B into slope intercept form.</u>
- -4x + 2y = 16
- => 2y = 4x + 16
- => y = 2x + 8
<u>Step-2: Compare both equations to make a conclusion.</u>
- y = 2x + 8 and y = 2x + 8
Since both equations are the same, we can make a conclusion that both equations have infinite solutions.
Answer:
x =(-17-√-31)/-32=(17+i√ 31 )/32= 0.5313-0.1740i
x =(-17+√-31)/-32=(17-i√ 31 )/32= 0.5313+0.1740i
Step-by-step explanation:
Answer:
B
In the equation y=mx+b m is the slope of the line.
Therefore the coefficient in each of these equations is the slope.
A line with a perpendicular slope must have the inverse opposite of the actual line. For example if a line has a slope of 5, a perpendicular line to that line must have a slope of -1/5. If a line has a slope of 10, the perpendicular line has a slope of -1/10. If a line has a slope of 2 then the inverse opposite is -1/2 and that is the slope of the perpendicular line.
B is the only answer with the correct slope so B is the answer.
Step-by-step explanation:
Step-by-step explanation:
Note: Question does not indicate if probability required is for weight to exceed or below 3000 lbs. So choose appropriate answer accordingly (near the end)
Using the usual notations and formulas,
mean, mu = 3550
standard deviation, sigma = 870
Observed value, X = 3000
We calculate
Z = (X-mu)/sigma = (3000-3550)/870 = -0.6321839
Probability of weight below 3000 lbs
= P(X<3000) = P(z<Z) = P(z<-0.6321839) = 0.2636334
Answer:
Probability that a car randomly selected is less than 3000
= P(X<3000) = 0.2636 (to 4 decimals)
Probability that a car randomly selected is greater than 3000
= 1 - P(X<3000) = 1 - 0.2636 (to 4 decimals) = 0.7364 (to 4 decimals)
