Let's say the price of one book is the variable x
Therefore, Alana is 5x and Petra is 4x
Angus bought 19x, but since he had a $10 discount, it is 19x-10
Combined, Alana and Petra is 5x+4x, but since it says Angus spent $5 more, it would be 5x+4x+5
Therefore, we get the equation:
19x-10=5x+4x+5
19x-10=9x+5
10x=15
x=15/10 or 3/2 which equals 1.5
Therefore, one book costs $1.5
The answer is A. Here's how you get it. Law of cosines here looks like this:
17^2 = 22^2 + 30^3 - [2(22)(30)cosA]; which simplifies to 289=484+900-1320(cosA). Doing that math gives you 289 = 1384 - 1320(cosA), and -1095 = -1320(cosA). Divide both sides by -1320 to get
.829545 = cos A. Now use the inverse cosine on your calculator to get the missing angle measure.
Answer:
Step-by-step explanation:
Null hypothesis: u <= 3 minutes
Alternative hypothesis: u > 3minutes
Using a z test formula, z score is
z = (x - u) / (s/√n)
Where x = 3.1, u = 3, s = 0.5, n = 100
z = (3.1 - 3) / (0.5/√100)
z = (0.1) / (0.5/10)
z = 0.1/0.05
z = 2
To calculate for the p value assuming a 0.05 level of significance, the p value is 0.02275 which is less than 0.05. Thus we will reject the null and conclude that there is enough statistics evidence to show that the mean waiting time of all customers is significantly more than 3 minutes.
Answer:
B
Step-by-step explanation:
so 8(2)=16=5x-4
5x=20
x=4
so B
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