To order the right amount of flooring, you need to know the floor area of the living room shown
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Answer:
Decision: Support the null hypothesis.
Sample mean: -12
Step-by-step explanation:
Hello!
When deciding with a Confidence interval you have to keep in mind that the following conditions are met:
- The hypothesis and the interval are made for the same parameter.
- The hypothesis should be two-tailed.
- The interval and the test have to have complementary confidence and signification levels. This means that if the interval is made with 1 - α= 0.95 the hypothesis test should be made with α= 0.05.
H₀: μ₁ - μ₂= 0
H₁: μ₁ - μ₂≠ 0
α: 0.05
If the interval contains the cero, it means that there is no difference between the means, so you support the null hypothesis.
If the interval doesn't contain the cero, there is a difference between the two means, so you reject the null hypothesis.
The intervals to estimate the population mean have the following structure:
Estimator ± Margin of error
This means that the sample mean (point estimate of the population mean) is in the middle of the calculated interval. To know it's the value you have to do a simple calculation:
sample mean:
sample mean:
sample mean: -12
I hope it helps!
Hello!
The parentheses indicate multiplication; the 18(18) on the left side of the equation is 18 * 18. On the right side of the equation, you have x(x + 15); to simplify this, you would distribute the x--that means multiply each term inside the parentheses by x. This is the Distributive Property:
. Let's do that.
Now, you can subtract 324 from each side to set the equation equal to 0.
This is a quadratic equation; to solve it, we may factor (if the equation is able to be factored) or we can use the Quadratic Formula. Let's see if we can factor. To factor, find two numbers whose sum is 15 and whose product is -324. Since 324 is negative, we know one of the numbers is negative and one of the numbers is positive (a negative times a positive is always negative), and that means one of the numbers is greater than 15...
27 - 12 = 15
27 * -12 = -324
The factored polynomial is: (x + 27)(x - 12).
To find its solutions, set the factors equal to 0 and solve for x.
x + 27 = 0
x = -27
x - 12 = 0
x = 12
Answer:
The solution of is -27 and 12.
The parentheses indicate multiplication; the 18(18) on the left side of the equation is 18 * 18. On the right side of the equation, you have x(x + 15); to simplify this, you would distribute the x--that means multiply each term inside the parentheses by x. This is the Distributive Property:
Now, you can subtract 324 from each side to set the equation equal to 0.
This is a quadratic equation; to solve it, we may factor (if the equation is able to be factored) or we can use the Quadratic Formula. Let's see if we can factor. To factor, find two numbers whose sum is 15 and whose product is -324. Since 324 is negative, we know one of the numbers is negative and one of the numbers is positive (a negative times a positive is always negative), and that means one of the numbers is greater than 15...
27 - 12 = 15
27 * -12 = -324
The factored polynomial is: (x + 27)(x - 12).
To find its solutions, set the factors equal to 0 and solve for x.
x + 27 = 0
x = -27
x - 12 = 0
x = 12
Answer:
The solution of