Given that the function f(x)=1/2x-6 was replaced with f(x+k)=1/2x-4, then the value of k we be as follows:
f(x)=1/2x-6
replacing x1=x+k
f(x+k)=1/2(x+k)-6
equating the above to 1/2x-4 we shall have:
1/2(x+k)-6=1/2x-4
simplifying we obtain:
1/2x+1/2k=1/2x-4
1/2k=-4
hence
k=-8
Answer:
20 is the Answer i think
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given the expression
Simplify
Given that x = 1+√2
Substitute
Answer:
99% confidence interval bto estimate the average price customers are willing to pay per phone is between a lower limit of $471.356 and an upper limit of $514.
Step-by-step explanation:
Confidence interval = mean + or - Error margin (E)
mean = $492.678
sd = $26.4871
n = 14
degree of freedom = n - 1 = 14 - 1 = 13
confidence level = 99%
t-value corresponding to 13 degrees of freedom and 99% confidence level is 3.012
E = t×sd/√n = 3.012 × $26.4871/√14 = $21.322
Lower limit = mean - E = $492.678 - $21.322 = $471.356
Upper limit = mean + E = $492.678 + $21.322 = $514
99% confidence interval to estimate the average price customers are willing to pay per phone is between $471.356 and $514.
If a number is positive, Leila's theory that 75% of a number will always be greater than 50% of another number is <em>true</em>;<em> </em>however, if both numbers are negative, or if the number of which she finds 50% is much greater than the number of which she finds 75%, Leila's theory could be incorrect.
This inequality shows that Leila is correct:
(which simplifies to
)
This inequality shows that Leila is incorrect:
(which simplifies to
)
Hope this helps!