The National Oceanic and Atmospheric Administration tracks the amount of oysters harvested from the Chesapeake Bay each year:

Find the exponential regression equation that models this data.

The National Oceanic And Atmospheric Administration Tracks The Amount Of Oysters Harvested From The Chesapeake

Answers

Answer 1

The EXPONENTIAL REGRESSION equation obtained by fitting the data is [tex]y = 58.031(0.964)^x[/tex]

To obtain the exponential regression equation which models the data, we could use technology, we involves Inputting the data into an EXPONENTIAL REGRESSION CALCULATOR or EXCEL

Using an exponential regression calculator :

The regression equation obtained is :

[tex]y = 58.031(0.964)^x[/tex]

The general function of an exponential regression function is : [tex]AB^x[/tex]

A = 58.031 = Initial value ; B = Decay factor

Hence, the EXPONENTIAL REGRESSION EQUATION obtained using technology is : [tex]y = 58.031(0.964)^x[/tex]

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Related Questions

I NEED HELP PLEASE ASAP!!

Answers

Answer:

Option B, 1

Step-by-step explanation:

tan 45° = 1/1 = 1

Calculate the next term in the geometric sequence that is calculated with a ratio of 19 if the current term is 38

Answers

Answer:

Step-by-step explanation:

The next term is going to be simply 38*19 = 722

The series is geometric which means that you multiply from one term to get to the next.

The ratio of 19, and the current term is 38. So to get to the next term, multiply 38 * 19

Convert 653 in base 7 to base 10

Answers

Converting 653 to base 10.
6*102=600
5*101=50
3*100=3
Adding all to get Ans=65310

Step2 converting 65310 to 7

The equation calculation formula for 65310 number to 7 is like this below.
7|653
7|93|2
7|13|2
7|1|6
7|1|1
Ans:16227

Kesley works at a nursery she has 157 beads that she wants to share equally between 16 children for a necklace making activity.

How many beads will each child have and how many beads will be left over

Answers

Each child will have 9 beads and there will be 13 beads left over

Each child will get 9 pieces with 13 pieces left.

What is division?

'Division is a method of distributing a group of things into equal parts.'

According to the given problem,

Number of beads Kesley has = 157

Number of children to be shared between = 16

Number of beads in possession of each child = 157 ÷ 16

                                                                             = 9

Number of beads divided equally = 144

Remaining beans = 157 - 144

                              = 13

Hence, we can conclude that out of 157 beans, 144 is divided equally among 16 children with each child getting 9 pieces.

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A researcher is interested in exploring the relationship between calcium intake and weight loss. Two different groups, each with 25 dieters, are chosen for the study.
Group A is required to follow a specific diet and exercise regimen, and also take a 500-mg supplement of calcium each day.
Group B is required to follow the same diet and exercise regimen, but with no supplemental calcium. After six months on the program, the members of Group A had lost a mean of 12.7 pounds with a standard deviation of 2.2 pounds. The members of Group B had lost a mean of 10.8 pounds with a standard deviation 2.0 pounds during the same time period. Assume that the population variances are not the same.
Create and interpret a 95% confidence interval to estimate the true difference between the mean amounts of weight lost by dieters who supplement with calcium and those who do not.

Answers

Answer:

(0.7044 ; 3.0956)

Step-by-step explanation:

Given:

GROUP A:

n1 = 25

x1 = 12.7

s1 = 2.2

GROUP B :

n2 = 25

x2 = 10.8

s2= 2.0

The obtain the confidence interval assuming unequal population variance :

(x1 - x2) ± tα/2[√(s1²/n1 + s2²/n2)]

The degree of freedom :

df = (s1²/n1 + s2²/n2)² ÷ (s1²/n1)²/n1-1 + (s2²/n2)²/n2-1

The degree of freedom :

(2.2²/25 + 2²/25)² ÷ (2.2²/25)²/24 + (2²/25)²/24

df = 0.12503296 ÷ (0.0015617 + 0.0010666)

df = 47.57 ;

df = 48

Tcritical value ; α = 95% ; df = 48

Tcritical = 2.0106

C.I = (12.7 - 10.8) ± 2.0106[√(2.2²/25 + 2²/25)]

C.I = 1.9 ± (2.0106 * 0.5946427)

C.I = 1.9 ± 1.1955887

C. I = (0.7044 ; 3.0956)

find the missing length indicated​

Answers

Answer:

Step-by-step explanation:

192

Answer:

Step-by-step explanation:

1) A book contains 192 pages. A boy reads x complete pages everyday.if he has not finished the book after 10days, find the highest possible value of x

Answers

9514 1404 393

Answer:

  19

Step-by-step explanation:

After x days, the boy will have read 10x. If this is less than 192, we have ...

  10x < 192

  x < 192/10

  x < 19.2

If x is an integer, the largest possible value x could have is 19.

How long will it take for money to double if it is invested at 7% compounded monthly?

Answers

Use the rule of 72 for the monthly compound:
About 10.3 years

The equation y = 4x represents the relationship between time, x, and distance traveled, y. Which table represents
this relationship?
x
y
y
x
y
*
y
* 1
0
4
4
1
4
2
8
0
O
o
2
8
2
8
4
8
4
16
من
12
3
16
5
12
8
32
N

Answers

9514 1404 393

Answer:

  D

Step-by-step explanation:

Choose the table in which all of the y-values are 4 times the corresponding x-values.

If there is a row in a table in which y is not 4x, reject that table. For example, in the first row of the first table we have x=0, so y = 4(0) = 0, but the table has y=4. The first table can be rejected.

Answer:D got the question and got it right

Step-by-step explanation:

x y

2 8

4 16

8 32

please give me correct answer​

Answers

Answer:

answer of question number 1 is 2400, 2880, 3600 respectively.

answer of question number 2 is 1384 and 1680.

Step-by-step explanation:

100×24=2400

120×24=2880

150×24=3600

692×2=1384

420×4=1680

write your answer in simplest radical form​

Answers

Answer:

n = 8√2

Step-by-step explanation:

From the question given above, the following data were obtained:

Angle θ = 60°

Opposite = 4√6

Hypothenus = n =?

The value of n can be obtained by using the sine ratio as illustrated below:

Sine θ = Opposite / Hypothenus

Sine 60 = 4√6 / n

√3/2 = 4√6 / n

Cross multiply

n × √3 = 2 × 4√6

n × √3 = 8√6

Divide both side by √3

n = 8√6 / √3

Rationalise

n = 8√6 / √3 × (√3/√3)

n = 8√(6×3) / 3

n = 8√18 / 3

Recall

√18 = √(9×2) = √9 × √2 = 3√2

Thus,

n = 8√18 / 3

n = 8 × 3√2 / 3

n = 8√2

10x^3 - 25x^2 + 20
How to factor this

Answers

5(2x^2-x-2)(x-2)

Step-by-step

Answer:  [tex]5(\frac{10x^3}{5}+\frac{-25x^2}{5}+\frac{20}{5}) \\\\5(2x^3-5x^2+4)\\\\5(2x^2-x-2)(x-2)[/tex]

A pool can be filled with water by a large pipe within six hours .A smaller pipe will take 9 hours to fill the pool.How long will it take to fill the pool if the two pipes operate together

Answers

Answer:

3.6 hours

Step-by-step explanation:

The formula is

1/a+1/b = 1/c  where a and b are the times working along and c is the time working together

1/6 + 1/9 = 1/c

Multiply by 36c to clear the fractions

36c (1/6 + 1/9 = 1/c)

6c +4c = 36

10c = 36

Divide by 10

10c/10 = 36/10

c = 3.6 hours working together

Instructions: State what additional information is required in order
to know that the triangles in the image below are congruent for the
reason given
Reasory. AAS Postulate

Answers

Answer:

YWX = DFE

Step-by-step explanation:

AAS means angle angle side. so, we need 2 angles and 1 side.

we have 1 side and one angle confirmed.

so, we need one of the other two angles (W or Y vs. F or D) confirmed.

they probably want W and F as answer, as Y and D would make it a special case of AAS : ASA.

what is Newton's Law of Cooling?

Answers

Answer:

Newton's law of coming states that the rate at which an object cools is proportional to the differences in temperature between the object and the object's surroundings.

Answer:

It is the rate of heat loss of a body that is directly proportional to the difference in the temperatures between the body and its surroundings.                                                  Q= h* A* (T(object) -T(environment) )

which of the rolling equations have exactly one solutions ?

ps: (click the picture to see answer choices)

Answers

Answer:

All have exactly one solution

Step-by-step explanation:

a) -13x + 12 = 13x - 13

   +13x         +13x

-------------------------------

          12 = 26x - 13

         +13           +13

         -------------------

           25 = 26x

          -----   ------

           26     26

          25/26 = x

b) 12x + 12 = 13x - 12

   -12x          -12x

  -----------------------

          12 = x - 12

        +12       +12

        -----------------

            24 = x

c) 12x + 12 = 13x + 12

  -12x          -12x

 -----------------------------

           12 = x + 12

           0 = x

d) -13x + 12 = 13x + 13

   +13x           +13x

 -----------------------------

         12 = 26x + 13

        -13             -13

      -----------------------

          -1  = 26x

          ---      -----

          26       26

          -1/26 = x

Given h(x) = -x + 1, find h(0).
Answer:

Answers

Answer:

1

Step-by-step explanation:

Given,

h ( x ) = - x + 1

To find : h ( 0 ) = ?

h ( 0 )

= - ( 0 ) + 1

= 1

Answer: 1

Step-by-step explanation:

h(x) = -x + 1

To Find = h(0)

= -(0) + 1

= 1

Answered by GauthMath if you like pls heart it and comment thanks

What must be true about the discriminant of this quadratic equation for the mentioned values of k? Assume p>0.

value of the discriminant k > 0
Options:
B^2 - 4ac= 0
B^2 - 4ac is greater than 0
B^2 - 4ac is less than 0

Answers

Answer:

Step-by-step explanation:b

No real roots. Roots will have imaginary numbers. This means the quadratic is either always above the axis, or always below.

One real root. The graph touches the  x -axis in one place.  →

Two real roots. The graph crosses the x -axis twice.

Question 7 Multiple Choice Worth 1 points)
(01.01 LC)
Evaluate the expression 28 - 472 - 10-2
0 11
O 27
O 56
O 59

Answers

The answer for the expression is 56

PLEASE HELP ILL GIVE BRAINLIEST

Answers

Answer:

A. Combination.

B. 17020

Step-by-step explanation:

A. Determination whether it is permutation or combination.

From the question given above, we were told that the student body of 185 students wants to elect two (2) representatives.

This is clearly combination because it involves a selecting process (i.e selecting 2 out of 185).

NOTE: Combination involves selecting while permutation involves arranging.

B. Determination of the combination.

Total number of people (n) = 185

Number of chosen people (r) = 2

Number of combination (ₙCᵣ) =?

ₙCᵣ = n! / (n – r)! r !

₁₈₅C₂ = 185! / (185 – 2)! 2!

₁₈₅C₂ = 185! / 183! 2!

₁₈₅C₂ = 185 × 184 × 183! / 183! 2!

₁₈₅C₂ = 185 × 184 / 2!

₁₈₅C₂ = 185 × 184 / 2 × 1

₁₈₅C₂ = 34040 / 2

₁₈₅C₂ = 17020

Please help me with this question

Answers

Answer:

The sum of 1/6 and 1/7 would be 13/42, or, if you wanted the answer in decimal form rounded to the nearest hundredth, it would be about 0.31.

To find the sum of 1/6 and 1/7, we cannot simply add the numerators together and maintain the same denominator. This is because 1/6 and 1/7 have different denominators, so we don't know which denominator to maintain!

To fix this we need to find a number that is divisible by both 6 and 7. One easy way to do this is to multiply the two numbers together:

6 x 7 = 42

If we were to change the denominator to 42 for each fraction, we could add the numerators together and maintain a denominator of 42. However, this means we must change the numerator of each fraction along with its denominator.

Let's start with 1/6. We can multiply 6 by 7 to obtain 42, but this means we also have to multiply 1 by 7 to keep the fraction proportionate. If the fraction does not maintain the same proportion, it will be a completely different fraction!

We know that 1 x 7 = 7, so it is safe to say that 1/6 is equal to 7/42.

We can apply the same logic to 1/7. Since 7 x 6 is 42 we need to multiply 1 by 6 along with 7. Note: you cannot multiply each number by 7 this time, because 7 x 7 would be 49, not 42. In multiplying the numerator and denominator by 6 we know that 1/7 = 6/42.

Now we have an equation of:

6/42 + 7/42

Now we can add it as we would normally by adding the numerators and keeping the denominator to get:

6/42 + 7/42 = 13/42

If you needed the answer in decimal form it would be about 0.3095238095, or 0.31 rounded to the nearest hundredth.

I hope this helped.

Did any one know this?

Answers

Answer:

x sqrt(2)

Step-by-step explanation:

sqrt(a) / sqrt(b) = sqrt(a/b)

sqrt( 14 x^3) / sqrt(7x)

sqrt(14x^3/7x)

sqrt(2x^2)

sqrt(ab) = sqrt(a)sqrt(b)

sqrt(x^2) sqrt(2)

x sqrt(2)

A real estate agent has 1717 properties that she shows. She feels that there is a 60`% chance of selling any one property during a week. The chance of selling any one property is independent of selling another property. Compute the probability of selling no more than 55 properties in one week. Round your answer to four decimal places.

Answers

Answer:

[tex]P(x \le 5) = 0.0110[/tex]

Step-by-step explanation:

Given

[tex]n = 17[/tex] -- number of properties

[tex]p = 60\%[/tex] --- probability of selling a property

Required

[tex]P(x \le 5)[/tex]

The question is an illustration of binomial probability, and it is calculated using:

[tex]P(x ) = ^nC_x * p^x * (1 - p)^{n-x}[/tex]

So, we have:

[tex]P(x \le 5) = P(x = 0) +P(x = 1) +P(x = 2) +P(x = 3) +P(x = 4) +P(x = 5)[/tex]

[tex]P(x=0 ) = ^{17}C_0 * (60\%)^0 * (1 - 60\%)^{17-0} = 1.71798692*10^{-7}[/tex]

[tex]P(x=1 ) = ^{17}C_1 * (60\%)^1 * (1 - 60\%)^{17-1} = 0.00000438086[/tex]

[tex]P(x=2 ) = ^{17}C_2 * (60\%)^2 * (1 - 60\%)^{17-1} = 0.00005257039[/tex]

[tex]P(x=3 ) = ^{17}C_3 * (60\%)^3 * (1 - 60\%)^{17-3} = 0.00039427799[/tex]

[tex]P(x=4 ) = ^{17}C_4 * (60\%)^4 * (1 - 60\%)^{17-4} = 0.00206995948[/tex]

[tex]P(x=5 ) = ^{17}C_5 * (60\%)^5 * (1 - 60\%)^{17-5} = 0.008072842[/tex]

So, we have:

[tex]P(x \le 5) = 1.71798692*10^{-7}+0.00000438086+0.00005257039+0.00039427799+0.00206995948+0.008072842[/tex]

[tex]P(x \le 5) = 0.01059420251[/tex]

[tex]P(x \le 5) = 0.0110[/tex]

PLS HELP!!!
Solve x^2 – 4 = 5 by graphing the related function.

A) There are two solutions: 3 and –3.


B) There are two solutions: ±1.


C) There is one solution: 1


D) There are no real number solutions.

Answers

Answer:

A

Step-by-step explanation:

Because we can rearrange the equation and get:

x²=5+4

x²=9

[tex]x = \sqrt{9} [/tex]

[tex]x = + 3 \: \: or \: \: - 3[/tex]

A) There are two solutions: 3 and -3
Plug in 3 into X, so it will be 3^2=9
9-4= 5, that makes 3 a solution.
Plug in -3 into X, so it will be -3^2=9
9-4=5, that makes -3 a solution.

in a school every student have two participate at least one of the activities athletes or music in a class of 50 students 30 participate in athlete and 25 students participate in music​

Answers

Answer:

In a class of 50 students, 30 participated in athletics and 25 participated in music. Drawing a Venn- diagram , calculate how many students ...

Answer:

ok

Step-by-step explanation:

t7y7y8 I am not going out for the

Determine whether the following events are mutually exclusive. Choosing a student who is a French major or a chemistry major from a nearby university to participate in a research study. (Assume that each student only has one major.)
A. Mutually Exclusive
B. Not Mutually Exclusive

Answers

Answer:

A. Mutually Exclusive

Step-by-step explanation:

Mutually exclusive events:

Two events are mutually exclusive if they cannot happen together, that is, supposing the events are A and B:

[tex]P(A \cap B) = 0[/tex]

Choosing a student who is a French major or a chemistry major

Since each student only has one major, the student cannot be both a French and a Chemistry major, that is, [tex]P(A \cap B) = 0[/tex], so they are mutually exclusive and the correct answer is given by option A.

Let h(x)=20e^kx where k ɛ R (Picture attached. Thank you so much!)

Answers

Answer:

A)

[tex]k=0[/tex]

B)

[tex]\displaystyle \begin{aligned} 2k + 1& = 2\ln 20 + 1 \\ &\approx 2.3863\end{aligned}[/tex]

C)

[tex]\displaystyle \begin{aligned} k - 3&= \ln \frac{1}{2} - 3 \\ &\approx-3.6931 \end{aligned}[/tex]

Step-by-step explanation:

We are given the function:

[tex]\displaystyle h(x) = 20e^{kx} \text{ where } k \in \mathbb{R}[/tex]

A)

Given that h(1) = 20, we want to find k.

h(1) = 20 means that h(x) = 20 when x = 1. Substitute:

[tex]\displaystyle (20) = 20e^{k(1)}[/tex]

Simplify:

[tex]1= e^k[/tex]

Anything raised to zero (except for zero) is one. Therefore:

[tex]k=0[/tex]

B)

Given that h(1) = 40, we want to find 2k + 1.

Likewise, this means that h(x) = 40 when x = 1. Substitute:

[tex]\displaystyle (40) = 20e^{k(1)}[/tex]

Simplify:

[tex]\displaystyle 2 = e^{k}[/tex]

We can take the natural log of both sides:

[tex]\displaystyle \ln 2 = \underbrace{k\ln e}_{\ln a^b = b\ln a}[/tex]

By definition, ln(e) = 1. Hence:

[tex]\displaystyle k = \ln 2[/tex]

Therefore:

[tex]2k+1 = 2\ln 2+ 1 \approx 2.3863[/tex]

C)

Given that h(1) = 10, we want to find k - 3.

Again, this meas that h(x) = 10 when x = 1. Substitute:

[tex]\displaystyle (10) = 20e^{k(1)}[/tex]

Simplfy:

[tex]\displaystyle \frac{1}{2} = e^k[/tex]

Take the natural log of both sides:

[tex]\displaystyle \ln \frac{1}{2} = k\ln e[/tex]

Therefore:

[tex]\displaystyle k = \ln \frac{1}{2}[/tex]

Therefore:

[tex]\displaystyle k - 3 = \ln\frac{1}{2} - 3\approx-3.6931[/tex]

How many centilitres are in 156000m^3

Answers

9514 1404 393

Answer:

  1.56×10^10 cL

Step-by-step explanation:

There are 1000 liters in a cubic meter, so 10^5 centiliters in a cubic meter. The 1.56×10^5 cubic meters will then have ...

  (1.56×10^5 m^3)×(10^5 cL/m^3) = 1.56×10^10 cL

_____

That's 15,600,000,000 cL.

"Centi-" is a prefix meaning 1/100.

Helpppp please !! Thank you :)

Answers

Answer: Because they are corresponding angles (second option is the answer).

Answer:

second option...because they are corresponding angles..

STEP BY STEP EXPLANATION: corresponding angles are formed when two parallel lines are intersected by the transversal

the corresponding angles are 2 and 6

How many edges are there?
A. not enough information
B. 15
C. 7
D. 10

Answers

My answer is 15 and the other person who answered is wrong because they only counted the ones visible and not the ones that are not visible as the figure is a 3d object.

The number of edges in the given figure is 15. The correct option is B.

What is geometry?

One of the first areas of mathematics is geometry, along with arithmetic. It is concerned with spatial characteristics like the separation, shape, size, and relative placement of objects.

The shape is made up of the triangular prism and the trapezoidal prism the total number of edges in the shape will be 15.

Therefore, the number of edges in the given figure is 15. The correct option is B.

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