Answer:
0.0043 is the probability that the sample of 20 bottles have a mean below 19.90 fl oz.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 20 fl oz
Standard Deviation, σ = 0.17 fl oz
We are given that the distribution of amount of soft drink poured is a bell shaped distribution that is a normal distribution.
Sample size, n = 20
Formula:
a) P(Sample of 20 bottles have a mean below 19.90 fl oz)
P(x < 19.90)
Calculation the value from standard normal z table, we have,
0.0043 is the probability that the sample of 20 bottles have a mean below 19.90 fl oz.
-9 - 5 = -14. So, the answer would be -14
23,000(1.035)^x=y
27316 or 27317 would be the population in 5 years
You could find the x and y-intercepts by isolating these variables on one side. We'll start by finding y.
15x+20y=1800
20y=1800-15x
y=(1800-15x)/20
Now, we insert this y into the original equation (substitution).
15x+20[(1800-15x)/2]=1800
Now we combine like terms and solve for x.
15x+(36000-300x/2)=1800
36000-300x/2=-15x+1800
36000-300x=-30x+3600
36000=270x+3600
32400=270x
x=120
So the x-intercept is 120. Now, we can either go through that long process again to find the y-intercept (which is really inefficient, and you probably won't have time to do so on a test), or we can just input the x value we got into the original equation.
15x+20y=1800
15(120)+20y=1800
1800+20y=1800
20y=0
y=0
I'm not 100% sure about the y being 0, but I'm pretty sure. Hope this helped.
Answer:
Step-by-step explanation:
The length of the trail is obtained by the definition of sine, where height is the opposite leg and length is the hypotenuse:
The length of the trail is: