The displacement, d, in millimeters of a tuning fork as a function of time, t, in seconds can be modeled with the equation d = 0
1 answer:
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The value of x in terms of b is x = . Therefore the value of x when b = 3 is x =
= -1.
We can find both answers by rearranging the equation to get "x =", and then substituting in 3 for b:
-2(bx - 5) = 16
-2bx + 10 = 16
- 10
-2bx = 6
÷ -2
bx = -3
÷ b
x = -3/b, which is the answer to the first part.
To get the second answer, we just substitute b = 3 into this equation and we get:
x = -3/b = -3/3 = -1
I hope this helps!
Answer:
a) Sample Mean = 79.4
Sample standard deviation = 30.62
b) 90% Confidence interval: (67.56 ,91.24)
Step-by-step explanation:
We are given the following in the question:
Prices for sleeping bags has an approximately normal distribution.
We are given the following sample:
35, 85, 105, 40, 100, 50, 30, 23, 100, 110, 105, 95, 105, 60, 110, 120, 95, 90, 60, 70
a)
Formula:
where are data points,
is the mean and n is the number of observations.
Sum of squares of differences = 1971.36 + 31.36 + 655.36 + 1552.36 + 424.36 + 864.36 + 2440.36 + 3180.96 + 424.36 + 936.36 + 655.36 + 243.36 + 655.36 + 376.36 + 936.36 + 1648.36 + 243.36 + 112.36 + 376.36 + 88.36 = 17816.8
b) 90% Confidence interval:
Putting the values, we get,