Supplementary means the 2 angles add up to 180 so...
124+(2x+4)=180
124+2x+4=180
124+2x+4-4=180-4
124+2x=176
124-124+2x=176-124
2x=52
2x/2=52/2
x=26
plug in and check
124+2x+4=180
124+2 (26)+4=180
124+52+4=180
176+4=180
180=180
Answer:
I believe it is: B= 16.45
Answer:
1) is not possible
2) P(A∪B) = 0.7
3) 1- P(A∪B) =0.3
4) a) C=A∩B' and P(C)= 0.3
b) P(D)= 0.4
Step-by-step explanation:
1) since the intersection of 2 events cannot be bigger than the smaller event then is not possible that P(A∩B)=0.5 since P(B)=0.4 . Thus the maximum possible value of P(A∩B) is 0.4
2) denoting A= getting Visa card , B= getting MasterCard the probability of getting one of the types of cards is given by
P(A∪B)= P(A)+P(B) - P(A∩B) = 0.6+0.4-0.3 = 0.7
P(A∪B) = 0.7
3) the probability that a student has neither type of card is 1- P(A∪B) = 1-0.7 = 0.3
4) the event C that the selected student has a visa card but not a MasterCard is given by C=A∩B' , where B' is the complement of B. Then
P(C)= P(A∩B') = P(A) - P(A∩B) = 0.6 - 0.3 = 0.3
the probability for the event D=a student has exactly one of the cards is
P(D)= P(A∩B') + P(A'∩B) = P(A∪B) - P(A∩B) = 0.7 - 0.3 = 0.4
Answer:
d. H0: melanoma mortality rate is not linearly related to latitude
Ha: melanoma mortality rate is linearly related to latitude
Step-by-step explanation:
The linear regression equation is
y=α+βx where α=intercept and β=slope.
β=slope demonstrates the change in dependent variable due to unit change in independent variable.
If the slope is zero then we can say that Y and X are not linearly related.
Thus, the hypothesis for testing significance of linear relationship two variables can be written as
Null hypothesis: The two variables are not linearly related i.e. β=0
Alternative hypothesis : The two variables are linearly related i.e. β≠0.
Thus, in the given scenario the hypothesis are
H0: melanoma mortality rate is not linearly related to latitude
Ha: melanoma mortality rate is linearly related to latitude.
A: x (isabella)
3x+x=36
b: 3x+x=36
4x=36
x=9
3x=27
c: Joseph is 27 years old.
