Answer:
This is the Quotient of Powers of property. HOPE THIS HELPS!!!
Step-by-step explanation:
Answer:
y=1/2x-1
Step-by-step explanation:
Answer:
P(X > 1.05) = 1 - 0.8413 = 0.1587 = 15.87%.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:

Find P(X > 1.05).
This is 1 subtracted by the pvalue of Z when X = 1. So:



has a pvalue of 0.8413
So P(X > 1.05) = 1 - 0.8413 = 0.1587 = 15.87%.
Answer:
Answers are below
Step-by-step explanation:
1) Vertex is (1,3). The domain is all real numbers. The range is y ≥ 3. There is a minimum of (1,3). The function decreases when x < 3. The function increases when x > 3. The function is in vertex form.
2) The vertex is (3,2). The domain is all real numbers. The range is y ≤ 2. There is a maximum of (3,2). The function increases when x < 2. The function decreases when x > 2. The function is in quadratic form.
3) Vertex is (0,-3). The domain is all real numbers. The range is y ≥ -3. There is a minimum of (0,-3). The function decreases when x < 0. The function increases when x > 0. The function is is quadratic form.
4) The vertex is (4,1). The domain is all real numbers. The range is y ≤ 1. There is a maximum of (4,1). The function increases when x < 1. The function decreases when x > 1. The function is in vertex form.
<h3>
(x+3)(x-3)</h3>
x squared and -9 are both square numbers.
the square root of x^2 is x
the square root of -9 is 3. so you just need to write (x+3)(x-3)
you can check by expanding the brackets and the middle x terms should cancel out