Answer:
A. x - 38.45 = 17.71
Step-by-step explanation:
The price of the shirt subtracted off the amount of money she had before would give 17.71
Answer:
m = (ps - b - uxs/t) / ux/t - p
Step-by-step explanation:
ux/t +b/m+s =p
multiplying throughout by (m+s) we get:
ux/t(m+s) + b = p(m+s)
open the brackets:
uxm/t + uxs/t + b = pm + ps
bring on one side of the equal sign all terms containg m, to make it the subject:
m(ux/t - p) = ps - b - uxs/t
m= (ps - b - uxs/t) / ux/t - p
<h3>
Answer: 98%</h3>
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Explanation:
The customer saves 15%, but still pays the remaining 85%. The two percentages add to 100%.
85% of $900 = 0.85*900 = 765
After the 15% discount is applied, the customer would pay $765
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Then after the sale, the price is marked up by 15%
This means we'll multiply by 1.15 to indicate a 15% increase
1.15*765 = 879.75
Notice that we don't get back to the original price (900) even though we increased by the same percentage as before. This is because 15% of a smaller number is a smaller amount; ie we have a smaller increase compared to the decrease earlier.
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Afterwards, divide the value 879.75 over the original price of $900
879.75/900 = 0.9775
Move the decimal point two spots to the right to end up with 97.75%
That percentage rounds to 98% when rounding to the nearest whole percent.
Answer:
a) H0 : P = 0.07
Ha : P ≠ 0.07
b) p -value = 0.1770
Step-by-step explanation:
P = 7% = 0.07
x (result ) = 7 , n = 163
p = x / n = 7 / 163 = 0.043
<u>a) Using a significance level ( ∝ ) of 0.05, estimate the appropriate hypothesis</u>
H0 : P = 0.07
Ha : P ≠ 0.07
conduct a Z- test statistic
Z = ( p - P ) / 
= ( 0.043 - 0.07 ) /
= - 1.35
Critical value ( Z₀.₀₂₅ ) = ± 1.96
<em>we fail to reject H0 given that | z | < Zcritical because there is not enough evidence to conclude that proportion change</em>
<u>b) Determine the p-value of the test </u>
P-value = P ( | Z | > Z )
= 2 * P ( Z < -1.35 )
= 0.1770
The p-value ( 0.1770 ) > ∝ ( 0.05 ) hence we fail to reject H0 ( i.e. the conclusion agrees with part a above )
This is easy I did it already on this quiz It’s C. 500