The pressure of 28 inches of mercury occurs about 6 miles from the eye of the hurricane. We get this from the given algebraic expression.
<h3>What is an expression?</h3>
An expression is formed by variables, constants, and algebraic operations. Since the operation among them is an algebraic or arithmetic operation, it is said to be an algebraic expression.
<h3>
Calculation:</h3>
It is given that the algebraic expression that relates the barometric pressure and the eye of the hurricane as
f(x) = 0.48 ln(x+2) + 27
Here x is the distance in miles from the eye of the hurricane.
f(x) is the pressure of the mercury in a barometer in inches
So, the required distance from the eye of the hurricane when the pressure of 28 inches of mercury in the meter is
(Here f(x) = 28)
f(x) = 0.48 ln(x+2) + 27
⇒ 28 = 0.48 ln(x+2) + 27
⇒ 0.48 ln(x+2) = 28 - 27
⇒ ln (x+2) = 1/0.48
⇒ ln(x+2) = 2.0833
Applying exponential base "e" on both sides, we get
(x+2) = ![e^{2.0833}](https://tex.z-dn.net/?f=e%5E%7B2.0833%7D)
⇒ x + 2 = 8.0309
⇒ x = 8.0309 - 2 = 6.0309
When the result is rounded to the nearest whole number, we get x = 6 miles.
Thus, for the pressure of 28 inches of mercury, the eye of the hurricane is 6 miles far from the barometer.
Learn more about an expression here at the following link:
brainly.com/question/4541471
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Answer:
48
Step-by-step explanation:
Answer:
We can conclude that new fertilizer appears to be more effective on apple trees.
Step-by-step explanation:
Mean and standard deviation parameters are missing in the question, I will assume amounts as below:
At Frucht Orchards, apple trees produce an average of 840 pounds of fruit per tree with a standard deviation of 120 pounds. Their mango trees produce an average of 350 pounds of fruit per tree with a standard deviation of 190 pounds. Frucht Orchards is trying two new fertilizers. An apple tree fed Amazing Apples Fertilizer yielded 940 pounds of fruit, while a mango tree fed Amazing Mangos Fertilizer yielded 400 pounds of fruit. Which new fertilizer appears to be more “amazing”?
We need to calculate standardized values (z-scores) of fertilized apple and mango trees to decide which fertilizer appears to be more "amazing".
z score for an unique value can be calculated using the equation:
z=
where
- X is the weight of the specific fruit that the fertilized trees produce.
- M is the average weight of the specific fruits that the trees produce.
- s is the standard deviation of the weights of specific fruit (583)
<u>For fertilized apple</u>
z=
≈0.83
<u>For fertilized mango</u>
z=
≈0.26
Since 0.83>0.26 we can conclude that new fertilizer appears to be more effective on apple trees.
A+b+c=56
a=√625=25
b=2√81 = 2x9=18
c = 56-25-18=13