Answer:
The 95% confidence interval the average maximum power is (596.0 to 644.0)
Step-by-step explanation:
Average maximum of the sample = x = 620 HP
Standard Deviation = s = 45 HP
Sample size = n = 16
We have to calculate the 95% confidence interval. The value of Population standard deviation is unknown, and value of sample standard deviation is known. Therefore, we will use one sample t-test to build the confidence interval.
Degrees of freedom = df = n - 1 = 15
Critical t-value associated with 95% confidence interval and 15 degrees of freedom, as seen from t-table = 
= 2.131
The formula to calculate the confidence interval is:
We have all the required values. Substituting them in the above expression, we get:
Thus, the 95% confidence interval the average maximum power is (596.0 to 644.0)
Answer: 10 cups of sugar
Step-by-step explanation:
Cups of sugar : Cups of flour
2 : 3
? : 15
Cross multiply
3? = 15 × 2
3? = 30
Divide both sides by 3
? = 10
He needs 10 cups of sugar.
Simplify radical expressions. If we combine these two things then we get the product property of radicals and the quotient property of radicals. These two properties tell us that the square root of a product equals the product of the square roots of the factors. no radicals appear in the denominator of a fraction.
Times 3 plus 2.5 is the pattern, and the next number is 383.5
Answer:
Correct option: first one -> all real values of x where x < −1
Step-by-step explanation:
First we need to find the roots of the function f(x):
0 = (x - 3)(x + 1)
(x - 3) = 0 -> x = 3
(x + 1) = 0 -> x = -1
The roots of the function are x = 3 and x = -1.
The vertex is between the roots (x = 1) and has a negative value of y (y = -4), so the concavity of the parabola is upwards.
So the graph is decreasing until it reaches the vertex, then the graph is increasing.
Then, we can affirm that the graph is positive and decreasing for all real values of x where x < -1 (for x > -1 and x < 3 we have negative values)
Correct option: first one
