Answer:
C −2a^3+9a^2+45a+6ab^2+18b^2
Step-by-step explanation:
(a+3) ( −2a^2+15a+6b^2)
Distribute the a to the large term in parentheses and the 3 to the large term in parentheses
a ( −2a^2+15a+6b^2)+3 ( −2a^2+15a+6b^2)
−2a^3+15a^2+6ab^2 −6a^2+45a+18b^2
Combine like terms
−2a^3+15a^2−6a^2+6ab^2 +45a+18b^2
-2 a^3 + 9 a^2 + 6 a b^2 + 45 a + 18 b^2
Equidistance means
Distance from R to P equals
Distance from Q to P.
So, in mathematical form,
PR = PQ
Answer:
if you have a vertical line with 0 in the middle, the number above zero will be positive numbers That will be above sea level. The number below the zero will be negative numbers which are below sea level.
so the 2.5 below sea level will be in the negative side (below the zero) between -2 and -3.
I hope this can help.
Answer:
Mathematically, two events are considered to be independent if the following relation holds true,
∵ P(B | A) = P(B)
For the given case,
P(D | L) = P(D)
But
0.13 ≠ 0.47
Since the relation doesn't hold true, therefore, "being left-handed" and "being a Democrat are not independent events.
Step-by-step explanation:
We are given that
Left-handed = P(L) = 0.40
Democrats = P(D) = 0.47
If a president is left-handed, there is a 13% chance that the president is a Democrat.
P(D | L) = 0.13
Based on this information on the last fifteen U.S. presidents, is "being left-handed" independent of "being a Democrat?
Mathematically, two events are considered to be independent if the following relation holds true,
∵ P(B | A) = P(B)
For the given case,
P(D | L) = P(D)
But
0.13 ≠ 0.47
Since the relation doesn't hold true, therefore, "being left-handed" and "being a Democrat are not independent events.
Complete question :
According to the National Beer Wholesalers Association, U.S. consumers 21 years and older consumed 26.9 gallons of beer and cider per person during 2017. A distributor in Milwaukee believes that beer and cider consumption are higher in that city. A sample of consumers 21 years and older in Milwaukee will be taken, and the sample mean 2017 beer and cider consumption will be used to test the following null and alternative hypotheses:
H, :μ< 26.9
Ha : μ> 26.9
a. Assume the sample data led to rejection of the null hypothesis. What would be your conclusion about consumption of beer and cider in Milwaukee?
b. What is the Type I error in this situation? What are the consequences of making this error?
c. What is the Type II error in this situation? What are the consequences of making this error?
Answer:
Kindly check explanation
Step-by-step explanation:
Given the null and alternative hypothesis :
H0 :μ< 26.9
Ha : μ> 26.9
Assume the Null hypothesis is rejected ;
We conclude that there is significant evidence that the mean consumption of beer and cider is higher in the city (more than 26.9 gallons).
B.) Type 1 error is committed when the Null hypothesis is incorrectly rejected.
C.) Type 2 error is committed when we fail to reject a false null hypothesis. In this scenario, we fail to conclude that the average consumption of beer and cider is more than 26.9 gallons per person.
