Answer:
maximum area will be 1058 square yards
maximum height will be 81 feet
Step-by-step explanation:
P = 2L +2W
but in this case it will be P= L+2W and P=92 yards
L+2W = 92
Solve for L , L = 92-2W
The area of rectangle A = L x W
Plug in L and simplify: A = (92-2W)W =92W -2W²
Plot in your calculator and look for maximum so when the width is 23 yards maximum area will be 1058 square yards.
Second problems is the maximum height of the rocket. Maximum will be at the vertex of the upside-down parabola.
Answer:
And we can find this probability using the z score table or excel:
So then we can conclude that the proportion of fish that are safe to eat is about 0.734
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the concentrations of mercury in individual fish of a population, and for this case we know the distribution for X is given by:
Where and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability using the z score table or excel:
So then we can conclude that the proportion of fish that are safe to eat is about 0.734
Answer:
9
Step-by-step explanation:
4x-7
4(4)-7
16-7
9
Answer:
16 inches
Step-by-step explanation:
8 x 2 = 16