The approximate length (in cm) of a typical Pacific halibut t years old is given by f(t) = 200(1 -0.956e-0.181).
A Pacific lialibut caught by Mike measures 140cm. What is its approximate age?
Answers
Answer:
6 years old
Step-by-step explanation:
Given
[tex]f(t) = 200(1 -0.956e^{-0.18t})[/tex]
Required
Find t when f(t) = 140cm
Substitute f(t) = 140cm
[tex]140 = 200(1 -0.956e^{-0.18t})[/tex]
Divide both sides by 200
[tex]0.7 = 1 -0.956e^{-0.18t}[/tex]
Collect like terms
[tex]0.956e^{-0.18t} = 1 -0.7[/tex]
[tex]0.956e^{-0.18t} = 0.3[/tex]
Solve for t
[tex]e^{-0.18t} = 0.3/0.956[/tex]
[tex]e^{-0.18t} = 0.31381[/tex]
Take natural logarithm of both sides
[tex]ln(e^{-0.18t}) = ln(0.31381)[/tex]
[tex]-0.18tln(e) = ln(0.31381)[/tex]
[tex]-0.18t*1 = ln(0.31381)[/tex]
[tex]-0.18t = -1.159[/tex]
Solve for t
[tex]t = (-1.159)/(-0.18)[/tex]
[tex]t = 6.43[/tex]
[tex]t \approx 6[/tex]
Related Questions
A random sample of 50 students at a large high school resulted in a 95 percent confidence interval for the mean number of hours of sleep per day of (6.73, 7.67). Which of the following statements best summarizes the meaning of this confidence interval?
A . About 95% of all random samples of 50 students from this population would result in a 95% confidence interval that covered the population mean number of hours of sleep per day.
B. 95% of the students in the survey reported sleeping between 6.73 and 7.67 hours per day.
C. 95% of the students in this high school sleep between 6.73 and 7.67 hours per day.
D. A student selected at random from this population sleeps between 6.73 and 7.67 hours per day for 95% of the time.
Answers
Answer:
A . About 95% of all random samples of 50 students from this population would result in a 95% confidence interval that covered the population mean number of hours of sleep per day.
Step-by-step explanation:
x% confidence interval:
A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.
In this question:
95% CI from a sample of 50 students is (6.73, 7.67).
This means that we are 95% sure that the population mean is in this interval, that is, about 95% samples of 50 would contain the population mean, which is given by option A.
By using basic definition of confidence interval we can say that option A " About 95% of all random samples of 50 students from this population would result in a 95% confidence interval that covered the population mean number of hours of sleep per day." is correct.
What is confidence interval ?confidence interval tells us the degree of certainty or uncertainty that is existent in a sampling method. It gives us a range of values, telling us we are fairly sure that our true value or parameter lies within the range.
Here given that 95% confidence interval from a sample of 50 students is (6.73,7.67). so we can say that there are 95% chance that the population mean is in this interval (6.73,7.67) , that is, about 95% samples of 50 would contain the population mean, so option A is correct
By using basic definition of confidence interval we can say that option A " About 95% of all random samples of 50 students from this population would result in a 95% confidence interval that covered the population mean number of hours of sleep per day." is correct.
To learn more about confidence interval visit :
https://brainly.com/question/15712887
Sophie Ruth está comiendo una barra de chocolate de 50 gramos que contiene. 30% de cacao
Answers
help please bdhsfhisbf
Answers
Second question answer: July
ABCD is a square. What is the measure of
Answers
Answer:
Step-by-step explanation:
Since it is a square, a line from one corner to the other cuts the right angles in half. this is only because it is a square, if you don't see why I can explain.
Since each right angle is cut in half each smaller angle on the corners is 45 degrees.
ABD is one of those cut in half angles, specifically from the right angle ABC. So it is 45 degrees
please help me with this question
Answers
Explanation: 5d - d + 4 + 2d - 5f - 6f - 7
- 5f - 6f = f
4 - 7 = -3
5d - d = 4d, 4d + 2d = 6d
Find the volume of a pyramid with a square base, where the perimeter of the base is 7.4 ft and the height of the pyramid is 8.1 ft. Round your answer to the nearest tenth of a cubic foot.
Answers
9514 1404 393
Answer:
9.2 ft³
Step-by-step explanation:
The side length of the square base is 1/4 of the perimeter, so is ...
s = P/4 = (7.4 ft)/4 = 1.85 ft
The area of the base is the square of this, or ...
A = s² = (1.85 ft)² = 3.4225 ft²
The volume of the pyramid is given by ...
V = 1/3Bh = (1/3)(3.4225 ft²)(8.1 ft) = 9.24075 ft²
The volume of the pyramid is about 9.2 cubic feet.
If a pizza pie had
a diameter of 12
inches, what
would be its
circumference?
Answers
Answer:
37.69
Step-by-step explanation:
Answer:r=7r =9 r=10
Step-by-step explanation:
Help pls help pls help.
Answers
B. 448 square meters
Step-by-step explanation:
I cut it into two rectangles
12cm by 4 cm for the first rectangle = 48cm
22cm by 8 cm for the second = 176cm
add areas together = 224cm
convert to meters = 448 square meters
hope this helps comment for more
I need help with this
Answers
Explanation: since the triangles are similar they have the same angle degrees
(20 points)
What is the value of x?
☁︎
A:10
☁︎
B:20
☁︎
C:12
☁︎
D:15
Answers
Answer:
honestly I don't know 5
Step-by-step explanation:
Solve for x y-b=m(x-a)
Answers
each of four people shake hands once with each of the other three. how many hand shakes will there be
Answers
Answer:
6
Step-by-step explanation:
o o o o
3+2+1 = 6
Madeline sells five roses on the first day, seven roses on the second day, ten on the third day, fourteen on the fourth day. If Madeline continues her selling pattern, how many roses will she sell on the tenth day? How many will she sell on the fifteenth day?
Answers
Answer:
124, I believe
Step-by-step explanation:
each day you're adding on the amount of the day,
5,7,10,14,19,25,32,40,49,59,70,82,95,109,124
days below
(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15)
5 on day 1
5+2=7 day 2
7+3=10 day 3
and so on
3x+2-10-3x=
Term:
Like Term:
Coefficients:
Constant:
Which one is it?
Answers
Like Terms: 3x and -3x
Coefficients: 3 and -3
Constant: 2-10 is -8 so -8 is your constant
HELP ASAP I WILL MARK BRAINLIST!!!!!
Answers
Answer:
45°
Step-by-step explanation:
Given,
x° = (90-x)° [Alternate exterior angles]
=> 90 - x = x
=> 90 = x + x
=> 90 = 2x
[tex] = > x = \frac{90}{2} [/tex]
=> x = 45°(Ans)
reflected over the x-axis, then translated 6
units left
Answers
to reflect over x-axis change it to (x,-y)
*basically change the sign of y*
to translate 6 units left (x-6,y)
* basically subtract 6 from x
So your new point should be (x-6,-y)
Kayla has 1,000 Apples in 5 bags, Mack has 999 apples in 5 bags as well, how many apples does Kayla have THAN Mack? Mack said that it is 10 apples that he is missing to match Kayla, Kayla said its only one apple he is missing to match hers.1,000-999=? who is correct? ( kayla or Mack? )
Answers
how do you make like terms? thank you
Answers
Answer:
Like terms are terms whose variables are the same. In other words, terms that are "like" each other. For example, 2x and 3x are like terms. Furthermore, 3y² and 4y² are also like terms. If two factors are like terms they can be combined.
Step-by-step explanation:
Hope this helps!
Answer:
Step-by-step explanation:
In AGHI, the measure of ZI=90°, HI = 5.6 feet, and IG = 2.8 feet. Find the measure
of ZG to the nearest tenth of a degree.
H
help please
Answers
Answer:
63.4
Step-by-step explanation:
How many feet are in half a mile?
Answers
Answer:
answer below:)
Step-by-step explanation:
There are 5280 feet in one mile. So, half a mile is equal to 0.5 x 5280 = 2640 feet.
In ASTU, the measure of U=90°, the measure of T=35°, and US =
6.5 feet. Find the length of ST to the nearest tenth of a foot.
Answers
Answer:
I think it is it is 45.4°
Help pls and thank you ..
Answers
Answer:
i think this is the anwer 100
can u answer this please
Answers
Answer:
Check pdf
Step-by-step explanation:
The value of Adam's model railway is $550.
This value increases exponentially at a rate of r %
per year.
At the end of 5 years the value will be $736.
Calculate the value of r.
Answers
Answer:(c)
Step-by-step explanation:
Given
The initial value of Adam's model is [tex]A_o=\$550[/tex]
the value increases exponentially with the rate of [tex]r\%[/tex]
Time period [tex]t=5\ years[/tex]
Final amount [tex]A=\$736[/tex]
Exponential growth is given by
[tex]\Rightarrow A=A_o(1+r)^t[/tex]
Putting values
[tex]\Rightarrow 736=550(1+r)^5\\\\\Rightarrow (1+r)^5=1.338[/tex]
[tex]\Rightarrow 1+r=1.05999\\\Rightarrow r=0.05999\ or\ 5.99\%\approx 6\%[/tex]
Option (c) is correct
Can someone please help me I’m desperateeeee
Answers
Answer:
1) are equal (congruent), are opposite from each other
2) (11y-36)= 63.
3) Add 36 to both sides.
11y = 99. Divide both sides by 11.
Y = 9
4) Next to each other, No numerical relationship
Step-by-step explanation:
A person places $13900 in an investment account earning an annual rate of 2.8%, compounded continuously. Using the formula V = Pe^{rt}V=Pe rt , where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 18 years.
Answers
Answer
hmm
Step-by-step explanation:
Answer:Can u explain more i odnt understand it pelase
Step-by-step explanation:
A box of chocolate contains 6 milk chocolates, 5 dark chocolates and
3 white chocolates. You randomly choose three chocolates to eat.
What is the probability of first pulling a milk chocolate, second pulling
a white chocolate, and then lastly choosing a milk chocolate?
Write your answer ar a percentage and round the the nearest tenth.
0 4.6%
04%
03.3%
04.1%
Answers
Answer:
i think is 3.3 but i dont know
Step-by-step explanation:
HOW DO YOU DO THIS PLEASE EXPLAIN
Answers
Answer:
70 degrees
Step-by-step explanation:
it’s a bit hard to explain
I seriously need help with this. I pay attention in class it's just so confusing!! I'm giving extra points. Now 15. Please tell the truth <3
Answers
Answer:
D
Step-by-step explanation:
Its D because A is all 90 degrees
Not C because all 90
Write an equation to show how the Distributive Property can help you solve each problem. 3 Kelly signed copies of her new book at a local bookstore. In the morning she signed 36 books, and in the afternoon she signed 51 books. It took her 5 minutes to sign a book. How much time did she spend signing books? Equation: Solution:
Answers
Answer:
wouldnt it be 8 im not sure tho
Step-by-step explanation: