A rectangular board is 1.6 meters long and 1.2 meters wide. What is the area of the board in square millimeters? Do not round yo
1 answer:
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Answer:
the graph corresponds to function "D"
Step-by-step explanation:
Since the graph shown corresponds to an exponential "decay" (the function decreases as we move from left to right), the base of the exponent has to be a number smaller than 1 (one). So we examine the only two options that give such (options C and D which have fractions as the base - 1/3 and 1/5 respectively)
From there, we analyze which of the two functions satisfies the crossing of the y-axis at (0,3) which is clearly shown in the graph:
We study both:
function C at x = 0 gives:
while function D at x = 0 gives:
Therefore, the graph corresponds to function "D"
Answer:
The length of the longest 15% of Atlantic cod in this area is 53.79cm, roundeed to 2 decimal places.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by
After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X.
In this problem, we have that:
A study conducted in 2012 found the length of Atlantic cod caught in nets in Karlskrona to have a mean of 49.9 cm and a standard deviation of 3.74 cm, so .
What is the length in cm of the longest 15% of Atlantic cod in this area?
We have to find the value of X for the value of Z that has a pvalue of 0.85.
Looking at the zscore table, we have that Z = 1.04 has a pvalue of 0.8508. So, we have to find the value of X when .
So
The length of the longest 15% of Atlantic cod in this area is 53.79cm, roundeed to 2 decimal places.