The cosine repeats itself every 360 degrees, and it mirrors at 0 and 180 degrees. It inverts around 90 and 270.
So without using a calculator, you can tell that:
cos(520)=cos(520-360)=cos(160)
cos(160) = cos(180-20) = cos(180+20) = cos(200)
cos(160) is NOT equal to cos(20), it would be -cos(20).
cos(160) = -cos(20) = -cos(-20)
So C is the only one unequal.
Answer:
a
The null hypothesis is
The alternative hypothesis is 
b

c
There is no sufficient evidence to conclude that the mean price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48
Step-by-step explanation:
From the question we are told that
The mean price of is 
The sample size is n = 56
The sample mean is 
The standard deviation is 
The null hypothesis is
The alternative hypothesis is 
Generally the test statistic is mathematically represented as

=> 
=> 
Generally the p-value is mathematically represented as

From the z-table

So

From the value we obtain we see that

Then we fail to reject the null hypothesis
Hence there is no sufficient evidence to conclude that the mean price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48
Answer:
43.667 years
Step-by-step explanation:
Simple Interest Rate Formula: A = P(1 + r)ⁿ
Step 1: Define variables
A = 10,000
P = 5,000
r = 0.016
n = unknown
Step 2: Substitute variables
10,000 = 5,000(1 + 0.016)ⁿ
Step 3: Solve for <em>n</em> time
2 = (1.016)ⁿ

43.667 years