Answer:
The hypothesis test is right-tailed.
Step-by-step explanation:
We are given that we want to test the claim that the majority of adults are in favor of raising the voting age to 21.
Let p = <u><em>proportion of adults who are in favor of raising the voting age to 21</em></u>
So, Null Hypothesis, 
: p 
50%
Alternate Hypothesis, 
: p > 50%
As we know that the majority is there when we have more 50% chance of happening of that event.
Here, the null hypothesis states that the proportion of adults who are in favor of raising the voting age to 21 is less or equal to 50%.
On the other hand, the alternate hypothesis states that the proportion of adults who are in favor of raising the voting age to 21 is more than 50%.
This shows that our hypothesis test is right-tailed because in the alternate hypothesis, the greater than sign is included.
Let's solve this by substitution.
y is given by the 2nd eqn as y = (1/3)x + 7. Subst. (1/3)x + 7 into the first eqn as a replacement for y: x + 9( (1/3)x + 7) = 3.
clear out fractions by mult. all 3 terms by 3: 3x + 9x + 63 = 3
Combine like terms: 12x = -60. Then x = -5
Find y by subst. -5 for x in the 2nd equation: y = (1/3)(-5) + 7
= -5/3 + 35/3 = 30/3 = 10.
Thus, the solution (x,y) of this system is (-5,10).
The amount of water is double in comparison to the amount of vegetables.
Answer:
c This is the direct variation
Step-by-step explanation:
The equation for direct variation is y= kx
Solving this for k
y/x =k
So y/x must be a constant
a. 9/3 =3
2/7 does not =3 so this is not a direct variation
b 1/2 = .5
-3/6 = -.5
This is not the same so this is not a direct variation
c. 27/9 =3
18/6 =3
9/3 =3
This is a direct variation with a constant of 3
d 5/-7 = -5/7
1/-3 = -1/3
This is not the same so this is not a direct variation
Answer:
The answer is "Pattern B showed number 40; each pattern is also increased as per the rule".
Step-by-step explanation:
In every sequence pattern, it recalls that rule, it adds 15 in this need to build from the specified initial estimate each sequence.
In Pattern A.
5+20+35+50+......
In Pattern B.
10+25+40+55+70+.....
In Pattern C.
15+30+45+60....
In this, pattern option B is correct because it will give 40.
