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)
Step-by-step explanation:
Given that M is a positive integer, M + 1 is also a positive integer.
Since the difference between them is only 1, they cannot have a common factor above 1.
(For example if M is even, M + 1 must be odd and therefore they do not have a common factor 2 and so on)
Hence we conclude the GCF of M and M + 1 is 1.
Answer:
-2x - 2
Step-by-step explanation:
-2(x + 1)
Therefore, the answer is -2x - 2.
The perimeter of a parallelogram is the distance around the outside of the parallelogram. A parallelogram has four sides with opposites sides being congruent. The formula for finding the perimeter is Side A + Side B + Side A + Side B.
