Using it's concept, it is found that the odds that the winner shops in the store 4 or more times a week are given by: 9:41.
It is given by the number of desired outcomes divided by the number of non-desired outcomes.
Researching the problem on the internet, it is found that 18% of the winners shop in the store 4 or more times a week, while 82% do not, hence:
18:82 = 9:41
The odds that the winner shops in the store 4 or more times a week are given by: 9:41.
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B. normal (approximately)
C. not enough information provided
D. skewed to the right
Answer:
B. normal (approximately)
Step-by-step explanation:
90
120
What is the answer please help.
Thank you
Answer:
Step-by-step explanation:
From coordinate geometry we know that, slope is ratio of vertical change rise and the horizontal change run.
Mathematically,
Putting the given values,
Answer:
✔ D. $60
Step-by-step explanation:
E2021
The solutions to the equation 2cos²(x) + cos(x) - 1 = 0 over the interval [0, 2π) are x = π/3, 5π/3, and π.
We have,
To solve the equation 2cos²(x) + cos(x) - 1 = 0 over the interval [0, 2π), we can use a substitution technique.
Let's substitute cos(x) with a variable, say, u.
The equation becomes:
2u^2 + u - 1 = 0.
Now, we can factorize the quadratic equation:
(2u - 1)(u + 1) = 0.
Setting each factor equal to zero, we have:
2u - 1 = 0 or u + 1 = 0.
Solving these equations separately, we find:
2u = 1 or u = -1.
For 2u = 1, we get u = 1/2. Taking the inverse cosine of 1/2,
We have cos(x) = 1/2.
For u = -1, we get u = -1. Taking the inverse cosine of -1, we have cos(x) = -1.
Now, we need to determine the solutions for x within the given interval [0, 2π).
For cos(x) = 1/2, the solutions within the interval are x = π/3 and x = 5π/3.
For cos(x) = -1, the solution within the interval is x = π.
Therefore,
The solutions to the equation 2cos²(x) + cos(x) - 1 = 0 over the interval [0, 2π) are x = π/3, 5π/3, and π.
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