The probability of a golden retriever catching a tennis ball in mid-air is 74%. Find the probability that a golden retriever cat
1 answer:
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Answer:
The general form of a natural logarithmic function is <em>f(x)=a In(x-h) +k.</em> Since the initial average length of the lizards was 20 centimeters, one possible point (h+1,k) through which the function passes is (0,20).
In this case, h= -1 since h +1 = 0 and k = 20.
It follows that x - h = (-1) = x + 1.
So, the function takes the form <em>f(x) = a In(x + 1) +20. </em>
The average length of the lizards after 2 years is 22.197. So f(2) =22.197. We substitute this value into the function
Step-by-step explanation:
<em>f(2) = a In(2 +1) +20 </em>
<em>22.197 = a In(3) + 20 </em>
<em></em><em>≈ a </em>
<em>2 ≈ a</em>
So the function that represents the average length of the lizards across this generation is <em>f(x) = 2 In(x+1) +20 </em>
Answer:
The second choice: Approximately of the pretzel bags here will contain between 225 and 245 pretzels.
Step-by-step explanation:
This explanation uses a z-score table where each entry has two decimal places.
Let represent the mean of a normal distribution of variable
. Let
be the standard deviation of the distribution. The z-score for the observation
would be:
.
In this question,
.
.
Calculate the z-score for and
. Keep in mind that each entry in the z-score table here has two decimal places. Hence, round the results below so that each contains at least two decimal places.
.
.
The question is asking for the probability (where
is between two values.) In this case, that's the same as
.
Keep in mind that the probabilities on many z-table correspond to probability of (where
is no greater than one value.) Therefore, apply the identity
to rewrite
as the difference between two probabilities:
.
Look up the z-table for and
:
.
.
.