Answer:
BELOW
Step-by-step explanation:
SO lets think about the information they give us.
Khan acadamy says that we have -3 x and 5 x.
So that just means that the quadratic at 0 has one curved line at -3x and another at 5x. Note that you should put the green dot on the top right on either -3x or 5x to do this.
Then they say the minimum is -4 y.
This just means that when x is 0, y should be -4. Note that you should put the midddle bottom green dot at -4 y exactly on the black line, which is at 0 x.
Green dot top right: (-3 or 5, 0)
Green dot middle bottom: (0, -4)
Hope this helps! ;)

So each bag will contain 1/6 kilogram of popcorn
Step-by-step explanation:
a + a r + a r^2 + a r^3 + a r^4 + a r^5 + ar^6
a r^2 = 108
a r^5 =-32
r^5/r^2 = - 32/108 = -8/27
r^3 = -2^3/3^3 =
r = - 2/3
Answer:
slope=1
y-intercept when x=-4
x-intercept when y= 4
Step-by-step explanation:
Given Information:
Mean time to finish 400 meter dash = μ = 65 seconds
Standard deviation to finish 400 meter dash = σ = 2.5 seconds
Confidence level = 95%
Required Information:
95% confidence interval = ?
Answer:

Step-by-step explanation:
In the normal distribution, the empirical rule states approximately 68% of all the data lie within 1 standard deviation from the mean, approximately 95% of all the data lie within 2 standard deviations from the mean and approximately 99.7% of all the data lie within 3 standard deviations from the mean.
The confidence interval for 95% confidence limit is given by

Since approximately 95% of all the data lie within 2 standard deviations from the mean. μ is the mean time Carson takes to finish 400 meter dash and σ is the standard deviation.




Therefore, the 95% confidence interval is between 60 to 70 seconds
What does it mean?
It means that we are 95% confident that the Carson's mean to finish 400 meter dash is within the interval of (60, 70).