Given that,
The equations : 2f-5g=-9 and -7f+3g=4
To find,
The solution of the above equations.
Solution,
We have,
2f-5g=-9 ....(1)
-7f+3g=4 ......(2)
Multiply equation (1) by 7 and equation (2) by 2.
14f-35g=-63 ....(3)
-14f+6g=8 ......(4)
Add equation (3) and (4)
14f-35g -14f+6g = -63 + 8
-29g = -55
g = 55/29
g = 1.89
Put the value of g in equation (1).
2f-5(1.89)=-9
2f = -9+5(1.89)
f = 0.225
Hence, the solution of the above equations are g = 1.89 and f = 0.225.
Answer:
Maggie is incorrect.
Step-by-step explanation:
Maggie is incorrect because when solving an equation you have to follow the rules of GEMDAS/PEMDAS
Grouping symbols or Parentheses
Exponents
Multiply and/or Divide whichever come first from left to right
Add and/or Subtract whichever come first from left to right
Therefore you have to solve the exponent first.
Answer:
If x + 9 = 5 then x =-
4
If x + 9 = -5 then x =-14
Step-by-step explanation:
x+9 =5
Subtract 9 from each side
x+9-9 = 5-9
x = -4
x+9 = -5
Subtract 9 from each side
x+9-9=-5-9
x = -14
Answer:
Null hypothesis:
Alternative hypothesis:
And the best answer for this case is:
C. p-value
Step-by-step explanation:
Data given and notation
n represent the random sample taken
estimated proportion of interest
is the value that we want to test
represent the significance level
z would represent the statistic (variable of interest)
represent the p value (variable of interest)
Concepts and formulas to use
We need to conduct a hypothesis in order to test the claim that the true proportion i 0.72 or no.:
Null hypothesis:
Alternative hypothesis:
When we conduct a proportion test we need to use the z statistic, and the is given by:
(1)
The One-Sample Proportion Test is used to assess whether a population proportion is significantly different from a hypothesized value .
For this case the only probability that can be calculated from the statistic calculated is the p value given by:
And the best answer for this case is:
C. p-value