Answer:
A3tx-A2b=cdx-2c
Step-by-step explanation:
Distribution
8.75-4.85= 3.90= cost of 6 bananas
3.9/6=0.65= cost of one banana
.65*4=2.60= cost of 4 bananas
4.85-2.60= 2.25= cost of 3 apples
2.25/3=.75= cost of an apple
Answer:
The 95% confidence interval of the proportion of Americans who believe in the conspiracy is
Step-by-step explanation:
From the question we are told that
The sample size is n =1057
The number that believe there was a conspiracy is k = 614
Generally the sample proportion is mathematically represented as
=>
From the question we are told the confidence level is 95% , hence the level of significance is
=>
Generally from the normal distribution table the critical value of is
Generally the margin of error is mathematically represented as
=>
=>
Generally 95% confidence interval is mathematically represented as
=>
=>
Recall the inverse function theorem: if f(x) has an inverse, and if f(a) = b and a = f⁻¹(b), then
f⁻¹(f(x)) = x ⇒ (f⁻¹)'(f(x)) • f'(x) = 1 ⇒ (f⁻¹)'(f(x)) = 1/f'(x)
⇒ (f⁻¹)'(b) = 1/f'(a)
Let b = 10. Then pick the function f(x) such that f(a) = 10 and f'(a) = -8 for some number a.
Catherine could take the original price of $144.97 and multiply it by .09 (9%). This would equal a sales tax of $13.073 which could be rounded to $13.01. Then add the original price of $144.97 to the tax of $13.01 to get a total of $157.98.