Task: Population of a Species

The population of a species in the wild in Asia has been decreasing exponentially since 1980. This function represents the wild population of the species t years after 1980: W(t)=20000(0.95)t.

The Wildlife Refuge Foundation noticed this trend before 1980
and decided to try to help reduce the population decline by
breeding the species in captivity. The graph shows the number
of these animals that have been born in captivity since 1980.

(Note: The function W(t) and the graph are not the same function!)

[15 points] Use the graph to create a function to represent the number of the species that have been born in captivity, C(t).

Answer:

x^6 y^3

Step-by-step explanation:

(x²y)³

We know that (ab) ^c = a^c * b^c

(x²y)³ = x^2 ^3  * y^3

We know that a^b^c = a^(b*c)

(x²y)³ = x^2 ^3  * y^3 = x^( 2*3) y^3 = x^6 y^3

Answer: B. This is sometimes true.

Step-by-step explanation:

A positive correlation between 2 variables means that they generally move in the same direction meaning that as one variable rises, the other rises as well and as the other falls, the other falls as well.

However, the correlation can be strong, weak or anything in-between. This means that just because one variable increases by 12 does not mean the other would as well. It could increase by 1 alone and still have a positive correlation albeit a small one.

Therefore, if the value of one variable is above the mean, it doesn't always follow that the other with a positive correlation will as well as they just might not have that strong a correlation.

Answer:

Step-by-step explanation:

It is possible that after an elastic collision a moving mass (1) strikes a stationary mass (2) and the two objects will have exactly the same final speed.

During an elastic collision, the momentum and kinetic energy are both conserved. Since one of the object is a stationary object, its velocity will be zero hence the other moving object will collide with the stationary object and cause both of them to move with a common velocity. The expression for their common velocity can be derived using the law of conservation of energy.

Law of conservation of energy states that the sum of momentum of bodies before collision is equal to the sum of momentum of the bodies after  collision.

Since momentum = mass*velocity

Before collision

Momentum of body of mass m1 and velocity u1  = m1u1

Momentum of body of mass m2 and velocity u2  = m2u2

Since the second body is stationary, u2 = 0m/s

Momentum of body of mass m2 and velocity u2  = m1(0) = 0kgm/s

Sum of their momentum before collision = m1u1+0 = m1u1 ... 1

After collision

Momentum of body of mass m1 and velocity vf  = m1vf

Momentum of body of mass m2 and velocity vf  = m2vf

vf is their common velocity.

Sum of their momentum before collision = m1vf+m2vf ... 2

Equating 1 and 2 according to the law;

m1u1 = m1vf+m2vf

m1u1 = (m1+m2)vf

vf = m1u1/m1+m2

vf s their common velocity after collision. This shows that there is possibility that they have the same velocity after collision.

Answer:

[tex]4 {ft}^{3} [/tex]

Step-by-step explanation:

[tex]2 \times \frac{1}{4} = 0.5 \\ v = lbh \\ 4 \times 2 \times 0.5 \\ = 8 \times 0.5 \\ = 4 {ft}^{3} [/tex]

The volume of Luis’s cedar chest is 18 cubic feet.

The dimensions of Luis’s cedar chest are length=4 feet, width=2 feet and height=2 1/4 feet.

The volume of the cuboid is the measure of the space occupied within a cuboid. The cuboid is a three-dimensional shape that has length, breadth, and height. If we have a rectangular sheet and we go on stacking such sheets, we will end up getting a shape that has some length, breadth, and height.

The formula to find the volume of the cuboid is l×b×h.

Where, l=length, b=breadth or width and h=height.

Now, volume=4×2×2.25=18 cubic feet.

Therefore, the volume of Luis’s cedar chest is 18 cubic feet.

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Answer:

He can be on either the lower end of that 95%, or on the higher end. this guy is not a too short, nor is he extremely tall.

Sry if it's nor right, It was a little confusing.

Hope this helps!（づ￣3￣）づ╭❤～

He can be on either the lower end of that 95%, or on the higher end.

This guy is not too short, nor is he extremely tall.

We have given that

Height =2

Everything on the normal model is within 2 standard deviations away from the mean.

The standard deviation is a measure of the amount of variation or dispersion of a set of values.

So He can be on either the lower end of that 95%, or on the higher end.

This guy is not too short, nor is he extremely tall.

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Answer:

The  price of the stock is [tex]P_o = \$ 33.9[/tex]

Step-by-step explanation:

From the question we are told that

     The dividend is  [tex]k = \$ 1.20[/tex]

     The expected growth rate is  [tex]r = 13\% = 0.13[/tex]

      The required rate of return is  [tex]K_e = 17 \% = 0.17[/tex]

The new dividend after 12 months is mathematically represented as

          [tex]D_1 = k * (1 + r)[/tex]

substituting values

           [tex]D_1 = 1.20 * (1 + 0.13)[/tex]

           [tex]D_1 = \$ 1.356[/tex]

The  price of the stock the price of stock is mathematically represented as

        [tex]P_o = \frac{D_1}{ K_e - r }[/tex]

substituting values

       [tex]P_o = \frac{ 1.356}{ 0.17 - 0.13 }[/tex]

       [tex]P_o = \$ 33.9[/tex]

Answer:

940

Step-by-step explanation:

so the cheapest table is the rectangular table coming at around $4.6 per person while the 10 person table comes at $5.2 per person.

That being said we can only have 15 rectangular tables so thats a total of 150 people at a total of $420. We still need 100 more people so we would need 10 round tables so 52 * 10 = 520 and plus our previous total 420 + 520 our total comes down to 940.

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Answer:

The second quartile in the data set is $130 per night.

Step-by-step explanation:

Quartile is a type of quantile which divides the number of data set into even numbered sub groups. The second quartile is median of data set. This means that 5% of data lies within this point. The middle value between the median and highest value of data set. The second quartile in the data set must be 50% so the statement is not correct.

Answer:

y = -3    m = -1     b = 3

Step-by-step explanation:

-3y=3x-9

To isolate the y variable, divide both sides by -3.

y = -1x + 3

y = -3

m = -1

b = 3

Answer:

The distribution is positively skewed.

Step-by-step explanation:

A measure of skewness is defined in such a way that the measure should always be zero when the distribution is symmetric and measure should be a pure number i.e independent of origin and units of measurement.

The shape of the distribution can be found by finding the coefficient of skewness.

The coefficient of skewness can be found by  

Sk= 3(Mean-Median)/ Standard Deviation

Sk= 3( 50-40)5= 30/5=6

The shape will be positively skewed.

In a positively skewed distribution the mean > median > mode. It has a long right tail.

Using the skewness formula, it is found that the distribution is right-skewed.

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

[tex]S = \frac{3(M - M_e)}{s}[/tex]

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

The coefficient is:

[tex]S = \frac{3(M - M_e)}{s} = \frac{3(50 - 40)}{5} = \frac{30}{5} = 6[/tex]

Thus, the distribution is right-skewed.

A similar problem is given at https://brainly.com/question/24415645

Answer:

3.1 rounded off to the nearest whole number is 3.

Step-by-step explanation:

Answer:

Step-by-step explanation:

To solve the question we use the following conversion

1 feet per second = 1.09728 kilometers per hour

Therefore 11 ,000 feet per second is

[tex]11000 \times 1.09728[/tex]

We have the final answer as

Hope this helps you

Answer:

[tex]\boxed{\sf 24\ cookies}[/tex]

Step-by-step explanation:

1 cookie = 1/16 of a pound of cookie

If we want to find how many cookies can be made by 3/2 pounds ( 1.5 pounds) then we need to divide 3/2 pounds by 1/16

=> [tex]\frac{3}{2} / \frac{1}{16}[/tex]

=> [tex]\frac{3}{2} * 16[/tex]

=> 3*8

=> 24 cookies

Answer:

24 cookies

Step-by-step explanation:

3/2= 1.5 and 1/16= 0.0625

if you divide the amount of dough you have by the amount needed for each cookie you will have 24

1.5/0.0625=24

Answer:

t = -1.862, df = 399, p > 0.05

Step-by-step explanation:

The null hypothesis is the statement which is test for its validity. The decision to accept or reject the null hypothesis is based on the test statistics value. In the given question the null hypothesis is H0 = 34. There is one sample t-test for the testing of null hypothesis. The null hypothesis will be same for each type of one sample t-test. The null hypothesis assumes that the difference between the true mean and comparison value is zero.

Answer:

finding the value of x first

2x + 3x + 10 = 180 (linear pair)

5x = 180 - 10

x = 170 / 5

x = 34

3x = 102

Answer:

15/22

Step-by-step explanation:

Of the 66 students who have no chores, 45 have a curfew.  So the probability is 45/66 = 15/22.

Answer:

sum of two numbers is 30

Step-by-step explanation:

let three numbers are x,y,z

average =x+y+z/3

x+y+z/3=16

x+y+z=48......(1)

The sum of two numbers is 18.

according to condition:

let x=18

subtitute x=18 in (1)

18+y+z=48

y+z=48-18

y+z=30

Answer:

⅝ pounds

Step-by-step explanation:

Weight at birth = 8¼ pounds

Weight after two weeks = 8⅞ pounds

[tex]Weight \: gain \\ = Weight \: after \: two \: weeks - Weight \: at \: birth \\ = 8 \frac{7}{8} \: pounds - 8 \frac{1}{4} \: pounds \\ = (8 \frac{7}{8} \: - 8 \frac{1}{4}) \: pounds \\ = (8 \frac{7}{8} \: - 8 \frac{2}{8}) \: pounds \\ = ( \frac{7}{8} \: - \frac{2}{8}) \: pounds \\ = \frac{5}{8} \: pounds[/tex]

Answer:

i am having issues using the math editor and my time is almost running out. i added an attachment.

Step-by-step explanation:

Answers:

There is a  max   value of   81/8   located at (x,y) =   (9/8, 9)  

=============================================================

Explanation:

Solve the second equation for y

8x+y = 18

y = 18-8x

Plug this into the first equation

f(x,y) = x*y

g(x) = x*(18-8x)

g(x) = 18x-8x^2

This graphs out a parabola that opens downward, and has a max point at the vertex.

If you apply the derivative to this, you get g ' (x) = 18 - 16x

Set this equal to zero and solve for x

g ' (x) = 0

18 - 16x = 0

18 = 16x

16x = 18

x = 18/16

x = 9/8

Use this x value to find y

y = 18 - 8x

y = 18 - 8(9/8)

y = 18 - 9

y = 9

So the max is x*y = (9/8)*9 = 81/8

Or we could say

g(x) = 18x-8x^2

g(9/8) = 18(9/8)-8(9/8)^2

g(9/8) = 81/8

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

To summarize,

There is a  max   value of   81/8   located at (x,y) =   (9/8, 9)  

When saying "max value of something", we're basically talking about the largest f(x,y) value. Which in this case is the largest x*y value based on the fact that 8x+y = 18.

A practical real world example of a problem like this would be if you wanted to max out a certain rectangular area based on constraints of how much building material you have for the fence.

Answer:

see below

Step-by-step explanation:

Part A

The slope is found by

m = ( y2-y1)/(x2-x1)

    = ( 1200-1500)/(4-0)

    = -300/4

    =-75

Part B

point slope  y-y1 = m(x-x1)  where m is the slope and (x1,y1) is a point on the line

y-1200 = -75(x-4)

slope intercept  y = mx+b  where m is the slope and b is the y intercept

y = -75x + 1500

standard form  Ax+By =C

75x + y = 1500

Part C

Change y to g(x) in the slope intercept form

g(x) = -75x + 1500

Part D

Let x = 5

g(5) = -75(5) + 1500

      =-375+1500

      =1125

Answer:

No the sample does not show that the average age  was different in 2010      

Step-by-step explanation:

From the question we are told that

   The sample size is n =  50

    The  sample mean is  [tex]\= x = 38.5[/tex]

    The population mean is  [tex]\mu = 37[/tex]

     The standard deviation is  [tex]\sigma = 16[/tex]

     The level of significance is  [tex]\alpha = 5 \% = 0.05[/tex]

 The null hypothesis is  [tex]H_o : \mu = 37[/tex]

  The alternative hypothesis is  [tex]H_a : \mu \ne 37[/tex]

The critical value of the level of  significance obtained from the normal distribution table is  ([tex]Z_{\alpha } = 1.645[/tex] )

Generally the test statistics is mathematically evaluated as

          [tex]t = \frac{ \= x - \mu }{ \frac{\sigma }{\sqrt{n} } }[/tex]

substituting values

          [tex]t = \frac{ 38.5 - 37}{ \frac{16}{\sqrt{50} } }[/tex]        

         [tex]t = 0.663[/tex]

Now looking at the value  t and  [tex]Z_{\alpha }[/tex] we see that [tex]t < Z_{\alpha }[/tex] hence we fail to reject the null hypothesis.

This mean that there is no sufficient evidence to state that the sample shows that the average age was different in 2010      

The following information related to irrigation is as follows:

The gallons of irrigation water per square foot is [tex]326,700\ gallons\ per\ square\ foot[/tex]

For determining the gallons of irrigation water we have to multiply the square foot by the number of gallons in a cubic foot.

Given that,

There are 43,560 square feet in an acre i.e. 1 acre = 43,560.

And, there are 7.5 gallons in a cubic foot i.e. 1 cubic foot = 7.5 gallons.

So, the gallons of irrigation water per square foot is

[tex]= 43,560 \times 7.5\ gallons \\\\= 326,700\ gallons\ per\ square\ foot[/tex]

Therefore we can conclude that the gallons per square foot of irrigation water is [tex]326,700\ gallons\ per\ square\ foot[/tex]

Learn more about per square foot here: brainly.com/question/5991264

Answer:

326,700 gallons

Step-by-step explanation:

1 acre = 43,560 square feet

1 acre-foot of irrigation is an acre irrigated 1 foot deep with water.

Since thee are approximately 7.5 gallons in 1 cubic foot,

1 acre-foot of irrigation = 43,560 * 7.5 gallons

1 acre-foot = 326,700 gallons

This is the number of gallons in one acre-foot, not gallons per square foot.

Answer:

the Portuguese

The History of The Republic of Ghana

The earliest Europeans to set foot on the land were the Portuguese in the 15th century (1471). On their arrival, they found so much gold between the rivers Ankobra and the Volta that they named the area “da Mina”, meaning “The Mine”.

Step-by-step explanation:

This was all I could really find :( Hope this helps! <3

I think it was Portugal

Answer:

1/2 inch per month

Step-by-step explanation:

The average rate hair grows is about half an inch per month which is 6 inches per year.

Answer:

30.10

Step-by-step explanation:

First find the amount of tax

28 * 7.5%

28 * .075

2.10

Add this to the price of the pants

28+2.10 =30.10