Answer:
Step-by-step explanation:
The standard form of a circle is written as such:
Where (h, k) is the center of the circle, and r is the radius.
We know that the center is (-7, 0), so we can plug that into the equation like this:
The radius is 3 * the square root of 3. To square this, we can multiply 3 squared and the square root of 3 squared:
So, your standard form equation is the following:
Answer:
$250
Step-by-step explanation:
2000/8
If in 8 years you earn $2,000, then you just do 2,000÷8 which equals $250 per year
Answer:
Step-by-step explanation:
The vertex is at the turning point. According to the graph, that point is (-2,3).
The axis of symmetry passes through the vertex: x = -2
Answer:
A person must get an IQ score of at least 138.885 to qualify.
Step-by-step explanation:
Problems of normally distributed samples are 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:
(a). [7pts] What IQ score must a person get to qualify
Top 8%, so at least the 100-8 = 92th percentile.
Scores of X and higher, in which X is found when Z has a pvalue of 0.92. So X when Z = 1.405.
A person must get an IQ score of at least 138.885 to qualify.