Carla gets a 96% on a 50 question test . What what fraction of the answers did she get wrong?
1 answer:
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Answer:
<h2>The slope of the line tangent to the function at x = 1 is 2.01 ≅2.</h2>Step-by-step explanation:
Using the formula of derivative, it can be easily shown that, where
.
Here we need to show that as per the instructions in the given table.
Δy = f(x + Δx) - f(x) = f(1 + 0.01) - f(1) = .
In the above equation, we have put x = 1 because we need to find the slope of the line tangent at x = 1.
Hence, dividing Δy by Δx, we get, .
Let's examine this taking a smaller value.
If we take Δx = 0.001, then Δy = .
Thus, .
The more smaller value of Δx is taken, the slope of the tangent will be approach towards the value of 2.
Answer:
Step-by-step explanation:
Let x be the wait times before a call is answered in phone calls.
The claim is x bar <3.3 minutes
Sample size n =62
Sample mean - x bar = 3.24 minutes
Population std dev =
Since population std dev is known and also sample size is sufficiently large, we can use Z test.
(one tailed test)
Mean difference = 3.24-3.3 = -0.06 min
Std error of sample =
Z = tset statistic =
p value = 0.119
Since p value > alpha, we accept null hypothesis.
There is no evidence to support the claim at alpha = 0.08