Solution :
2a + 2b = 7 ...1)
4a + 3b = 12 ...2)
In equation, 1)
a = (7 - 2b)/2 ...3)
Putting value of a in equation 2) we get :
4 × (7 - 2b)/2 + 3b = 12
2( 7 - 2b ) + 3b = 12
14 - 4b + 3b = 12
b = 2
Putting value of b in 3) we get :
a = ( 7 - 2×2)/2
a = 3/2 = 1.5
Now,
2x - 3y = 16 ...5)
x + 2y = -6 ...6)
x = -6 - 2y
Putting above value of x in eq 5) , we get :
2( -6 - 2y ) - 3y = 16
-12 - 4y - 3y = 16
7y = -28
y = -4
x = -6 - ( 2× -4 )
x = 2
Hence, this is the required solution.
Answer:
Larger sample size gives less std error and hence test statistic is larger.
Step-by-step explanation:
Given that a newspaper is conducting a statewide survey concerning the race for governor. The newspaper will take a simple random sample of n registered voters and determine X = the number of voters that will vote for the Democratic candidate. Is there evidence that a clear majority of the population will vote for the Democratic candidate
Group I II
Success 640 64
Total 1200 120
p 0.533333333 0.533333333
q 0.466666667 0.466666667
se 0.014401646 0.045542003
p diff 0.033333333 0.033333333
Z 2.314550249 0.731925055
p 0.01 0.233
we find that though p is the same, std error is very small for larger sample size thus making z statistic much bigger. So we get p value less than 0.05 whereas for 120 sample size, std error is large so Z statistic is small thus making p value to accept null hypothesis
Answer:
BD = 8.8
Step-by-step explanation:
You have a right triangle.
The hypotenuse is BD
The side opposite the 27o angle is 4
Sin(27) = opposite / hypotenuse.
Sin(27) = 0.45399
opposite = 4
hypotenuse = ?
0.45399 = 4/hypotenuse
BD = 4/0.45399
BD = 8.811
The answer is 8.8
Answer:4v
Step-by-step explanation:
Answer:
the answer will be 18 ohkay but they will eill have more dimes than quarters
