The characteristics described in the scatterplot are B. positive correlation D. weak association E. linear.
<h3>What are the condition for Correlation?</h3>
1. Negative Correlation:
The correlation is achieved when either or both values of x and y on the graph decrease.
2. Positive Correlation
The correlation is achieved when the slope (value) of both x and y increases.
3. Strong Correlation
This is achieved when there's uniformity in slopes x and y.
4. Weak Correlation
This is achieved when there are no uniforms in slopes x and y
5. Linear
Linearity is achieved when the data pattern is linear (straight)
6. Nonlinear
Non-Linearity refers to whether a data pattern is curved.
We can see that the characteristics described in the scatterplot are B. positive correlation D. weak association E. linear.
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Answer:
a) NORM.S.INV(0.975)
Step-by-step explanation:
1) Some definitions
The standard normal distribution is a particular case of the normal distribution. The parameters for this distribution are: the mean is zero and the standard deviation of one. The random variable for this distribution is called Z score or Z value.
NORM.S.INV Excel function "is used to find out or to calculate the inverse normal cumulative distribution for a given probability value"
The function returns the inverse of the standard normal cumulative distribution(a z value). Since uses the normal standard distribution by default the mean is zero and the standard deviation is one.
2) Solution for the problem
Based on this definition and analyzing the question :"Which of the following functions computes a value such that 2.5% of the area under the standard normal distribution lies in the upper tail defined by this value?".
We are looking for a Z value that accumulates 0.975 or 0.975% of the area on the left and by properties since the total area below the curve of any probability distribution is 1, then the area to the right of this value would be 0.025 or 2.5%.
So for this case the correct function to use is: NORM.S.INV(0.975)
And the result after use this function is 1.96. And we can check the answer if we look the picture attached.
The graph of the equations was plotted using geogebra graphing and attached.
Let x represent the hours weightlifting and y represent the hours doing cardio exercises.
Since he spend a maximum of 20 hours, hence:
x + y ≤ 20 (1)
Also, he spends at least 8 of those hours weightlifting, hence:
x ≥ 8 (2)
He wants to spend no more than 15 hours doing cardio exercises, this is:
y ≤ 15 (3)
The graph of the equations was plotted using geogebra graphing and attached.
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Just search up the name of your worksheet online and then at the end of the name/title,lesson and chapter/unit type in "answer key"
Answer:
Step-by-step explanation:
Price of one ticket = $4
Price of t tickets = 4t
1) 4t + 72 > 400
t > (400-72)/4
2) 4t + 72 > 400
4t + 72 - 72 > 400 - 72 {subtract 72 from both sides}
4t > 328
4t/4 > 328/4 {divide both sides by 4}
t > 82