Can you guys graph a system of equations and make sure it has two parabolas with the same vertex and a line that crosses the sam
e vertex of the 2 parabolas. Thanks will mark brainliest
2 answers:
Step-by-step explanation:
<u>Step 1: Make a system of equations</u>
The easiest place to place the parabolas are at the origin or (0, 0). So, the parabolas are going to have an equation similar to y = x^2. The line that crosses the same vertex of the 2 parabolas is going to be y = 0 because both of the parabolas vertex is going to be at (0, 0).
y = 0 is the line
y = x^2 is one of the parabolas
y = 2x^2 is another one of the parabolas
Look at the graph below
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Answer:
0.8665 = 86.65% probability that the sample mean would be at least $39000
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation
, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean $39725 and standard deviation $7320.
This means that
Sample of 125:
This means that
The probability that the sample mean would be at least $39000 is about?
This is 1 subtracted by the pvalue of Z when X = 39000. So
By the Central Limit Theorem
has a pvalue of 0.1335
1 - 0.1335 = 0.8665
0.8665 = 86.65% probability that the sample mean would be at least $39000