An example should help :-
Simplify sqrt 20:-
sqrt 20 = sqrt (4 * 5) = sqrt 4 * sqrt5 = 2 sqrt5
cube root of 54 = cube root 27 * cube root 2 = 3 cube root 2
The rule is to factor the number and look for perfect squares or cubes, etc.
Answer:
The answer for number 1 would be 57 dollars and 80 cents
Number two would be little ceasars
Number 3 would be 75 dollars and 60 cent
Number 4 would be 40 dollars and 80 cent
Number 5 would be 110 dollars and 98 cents
Step-by-step explanation:
Because of you take 68 and times it by 15% which would be .15 you would get 10.2 you would then take 68 and subtract 10.2 from it and get 57.8
Number 2: take 7.50 times it by .3 and you get 2.25 then subtract 2.25 from 7.50 and you get 5.25 so even with the coupon little ceasars pizza is still 25cent cheaper
Number 3: add 42 to 28 and you get 70. 8% of 70 is 5.6 so add 5.6 to 70 and you have your answer of 75.60
Number 4: 35.48 is the price alone. Times that number by .15 and you get 5.322. Add 35.48 and 5.322 to get 40.802 but for money wise you just need the 40.80
Number 5: 118 one again is the price standing alone but 118 multiplied by .10 is 11.8 so subtract 11.8 from 118 and you get 106.2 but there is still a sales tax. So 106.2 times .045 or 4.5% would be 4.779, add that number to 106.2 and you get 110.979. Now the problem did not say anything about rounding but the 9 would make the 7 an 8 so of you do that you get 110.98.
So to help you in the future when dealing with percentages with discounts and tax’s. if it’s a discount once you times the original number by the percentage you subtract the sum from the original number. As for taxes you do the same process but instead of subtracting you add
Answer:
Then z(s) is out of the acceptance region, we reject H₀, doubts of the independent testing firm are valids
Step-by-step explanation:
We will develop a Hypothesis Test ( a 2 tail test since the independent testing firm is interested in finding out if there is an incorrect MPG rating from the manufacturer
Test Hypothesis :
Null hypothesis H₀ μ = μ₀
Alternative Hypothesis Hₐ μ ≠ μ₀
Significance Level α = 0,05 α/2 = 0,025
z(c) for α/2 from z-table z(c) = - 1, 96 and by symmetry z(c) = 1,96
Calculating z(s)
z(s) = ( μ - μ₀ ) / σ /√n
z(s) = ( 37,8 - 37,4 ) / 2,3 /√280
z(s) = 0,4 * 16,73 / 2,3
z(s) = 2,90
Comparison between z(c) and z(s)
z(s) > z(c) 2,90 > 1,96
Then z(s) is out of the acceptance region, we reject H₀, doubts of the independent testing firm are valids
Answer:
8x + 9
Step-by-step explanation:
Combine 6x and 2x since they are "like variables" meaning they both contain an x, and write in standard form ax + bx + c
Answer:
you subtract the number by 3
Step-by-step explanation:
the pattern is x-3 so the pattern is subtracting the number by 3 every time
