Answer:
We have sufficient evidence to conclude at α = .05 that the husband’s perception would be higher than the wife’s.
Step-by-step explanation:
The hypotheses testing procedure in the given scenario is
H0: Husband’s perception would be similar to the wife’s i.e. μh=μw
Ha: Husband’s perception would be higher than the wife’s i.e. μh>μw
Level of significance: α=0.05
Test statistic: t=2.776
Critical region: t>t(0.05,9)=1.833
Conclusion: As the calculated value of t lies in critical region, so we reject our null hypothesis at 0.05 level of significance. Thus, we have sufficient evidence to conclude at α = .05 that the husband’s perception would be higher than the wife’s.
Answer:
#4 vertex form
and
vertex (h,k)
Step-by-step explanation:
vertex form
-2(x-3)^2+32
vertex
(h,k)
(3,32)
This is a problem you need to solve using logs. When you use logs you can "pull" the exponents down in front of the log to get a new equation that looks like this: 2x^3 + x^2 log 81 = 6x - 3 log 27. Now divide both sides by log 81 and 6x - 3 simultaneously to get (2x^3 + x^2)/(6x - 3) = (log 27)/(log 81). If you do the log math on the right side you get .75. Now multiply both sides by 6x-3 to get 2x^3+x^2 = .75(6x-3). If you distribute that out on the left side you'll get 2x^3+x^2=4.5x-2.25. Now move everything over to the left side and set the whole thing equal to 0: 2x^3+x^2-4.5x+2.25=0. When you solve for x, you are in essence factoring, so do this by grouping: x^2(2x+1)-2.25(2x+1). Now finally factor out the 2x+1 to get (2x+1)(x^2-2.25). You're not done yet though cuz you need to solve each of those for x: 2x+1=0, and x= -1/2; x^2=2.25, and x=+/- 1.5. So all the values for x here are -1/2, 1.5, and -1.5
The absolute and relative cost difference in the restaurant and copycat meal are :
- Copycat meal is $4.20 less than restaurant meal
- Restaurant meal cost 1.88 times as much as copycat meal
- Copycat meal is 53% of the cost of restaurant meal
Cost of restaurant meal = $8.95
Cost of copycat version = $4.75
1.)
Difference in cost of meal for both version :
Cost of restaurant meal - Cost of copycat version
($8.95 - $4.75) = $4.20.
The copycat meal is $4.20 less than the restaurant meal
2.)
Cost of restaurant meal ÷ Cost of copycat version
($8.95 ÷ $4.75) = 1.884 = 1.88(2 decimal places)
The restaurant meal cost 1.88 times as much as the copycat meal
3.)
Percentage = (8.95 - 4.75) × 100% = 53.07% = 53%(nearest whole number)
The copycat meal is 53% of the cost of restaurant meal
Therefore, the relative and absolute cost difference are $4.20, 1.88 times and 53%
Learn more :brainly.com/question/13218948
Answer:
um maybe 9 you dont really specify what were multiplying bye
