Max has eight circular chips that are all the same size and shape in a bag.



(3 chips are square, and 5 are stars)



Max reaches into the bag and removes one circular chip. What is the theoretical probability that the circular chip has a star on it? Write your answer as a fraction, decimal, and percent

Answers

Answer 1

The probability of drawing a star-shaped chip is 5/8.

The theoretical probability of drawing a star-shaped circular chip from the bag is 5/8 or 0.625 or 62.5%. Out of the total of eight circular chips, five are stars, and three are squares.

Therefore, the probability of drawing a star-shaped chip is the ratio of the number of star-shaped chips to the total number of chips in the bag, which is 5/8.

To understand this conceptually, we can think of probability as a fraction where the numerator is the number of favorable outcomes (in this case, drawing a star-shaped chip) and the denominator is the total number of possible outcomes (all the circular chips in the bag).

Thus, the theoretical probability of drawing a star-shaped chip is 5/8 because there are five star-shaped chips out of the total eight circular chips in the bag.

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Related Questions

please help me will mark brainliest!!! Evaluate √-72k where k= -2

Answers

Step-by-step explanation:

Given

k = - 2

Now evaluating

√- 72 * - 2

= √ 144

= √ ( 12)²

= 12

Hope it will help you :)❤

The evaluated solution of √-72k for k = -2 is 12.

What is an expression?

Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

What are Arithmetic operations?

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

The operator that performs the arithmetic operation is called the arithmetic operator.

Operators which let do a basic mathematical calculation

+ Addition operation: Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

/ Division operation: Divides left-hand operand by right-hand operand

For example 4/2 = 2

Given expression as :

⇒ √-72k

And k= -2

To Evaluate the expression

Now Substitute the value of k= -2 in the expression

⇒ √- 72 × - 2

⇒ √ 144    [√ 144 = 12]

⇒  12

Hence, the evaluated solution of √-72k for k = -2 is 12.

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2-1/2x=y what is this in slope intercept form

Answers

Answer:

y=-1/2x+2

Step-by-step explanation:

2-1/2x=y

y=2-1/2x

y=-1/2x+2

estimate the square root of 55

Answers

7.416 is your answer.

how to evaluate cot 3pi/2

Answers

Answer:

\(\huge\boxed{\cot\dfrac{3\pi}{2}=0}\)

Step-by-step explanation:

\(\text{We know}\ \cot x=\cot(x\pm\pi)\ \text{and}\ \cot(-x)=-\cot x.\\\\\text{We have}\ \cot\dfrac{3\pi}{2}=\cot\dfrac{\pi+2\pi}{2}=\cot\bigg(\dfrac{\pi}{2}+\dfrac{2\pi}{2}\bigg)=\cot\bigg(\dfrac{\pi}{2}+\pi\bigg)=\cot\dfrac{\pi}{2}\\\\\cot\bigg(\dfrac{\pi}{2}\bigg)=0\\\\\text{Therefore}\ \cot\dfrac{3\pi}{2}=0.\)

Netflix conducted a pricing experiment and by randomly selecting users and give them a 20% discount for their Prime membership. It is observed that these users are 10% more likely than others to join as a new member. What is the demand elasticity? It the current price optimal for Netflix?

Answers

The demand elasticity for Netflix's pricing experiment can be calculated using the formula:Demand Elasticity = Percentage change in quantity demanded / Percentage change in price.

Given that the users who received a 20% discount were observed to be 10% more likely to join as new members, we can assume that the percentage change in quantity demanded is 10%. However, we don't have information about the percentage change in price. Without that information, it is not possible to calculate the demand elasticity.

Regarding the optimality of the current price for Netflix, we cannot determine it based solely on the given information. Demand elasticity helps measure the responsiveness of quantity demanded to a change in price, which can guide pricing strategies. If the demand elasticity is elastic (greater than 1), a decrease in price can lead to a proportionally larger increase in quantity demanded.

However, without knowing the specific price, quantity demanded, and elasticity values, it is not possible to determine whether the current price is optimal for Netflix.

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What is the period of y = cos 0?

Answers

Answer:

y=1

Step-by-step explanation:

Convert the angle below to decimal form. Round to three decimal places.

Convert the angle below to decimal form. Round to three decimal places.

Answers

Given angle is

\(62^o39^{\prime}12^{\doubleprime}\)

We know that

\(\begin{gathered} 1^{^{\prime}}=(\frac{1}{60})^o^{} \\ 1^{\doubleprime}=(\frac{1}{3600})^o \end{gathered}\)

Therefore,

\(\begin{gathered} 62^o39^{\prime}12^{\doubleprime}=62^o+39^{\prime}+12^{\doubleprime} \\ =62^o+(\frac{39}{60})^o+(\frac{12}{3600})^o \\ =62^o+0.65^o+0.003^o \\ =62.653^o \end{gathered}\)

Hence, the decimal form is 62.653 degrees.

evaluate the indefinite integral. (remember to use absolute values where appropriate. use c for the constant of integration.)24x2 64xx3 4x2 7 dx

Answers

The indefinite integral of the given expression is :

8x^3 - 64/x + (4/3)x^3 + 7x + C.

To evaluate the indefinite integral of 24x^2 + 64x/x^3 + 4x^2 + 7 dx, we need to break it down into separate terms and apply the power rule of integration.

1. For the term 24x^2, integrate by adding 1 to the exponent and dividing by the new exponent: ∫ 24x^2 dx = (24/3)x^3 = 8x^3.

2. For the term 64x/x^3, simplify it to 64/x^2 and integrate: ∫ 64/x^2 dx = 64 ∫ x^-2 dx = 64 (-1/x) = -64/x.

3. For the term 4x^2, integrate by adding 1 to the exponent and dividing by the new exponent: ∫ 4x^2 dx = (4/3)x^3.

4. For the term 7, integrate it as a constant: ∫ 7 dx = 7x.

Now, combine all the individual integrals:

∫ (24x^2 + 64x/x^3 + 4x^2 + 7) dx = 8x^3 - 64/x + (4/3)x^3 + 7x + C, where C is the constant of integration.

Therefore, the indefinite integral of the given expression is 8x^3 - 64/x + (4/3)x^3 + 7x + C.

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Mike took a taxi from his home to the airport. The initial fee just to enter the taxi was $6 and then a charge of $3 per mile traveled. The total fee after the taxi arrived at the airport was $24, not including gratuity. How many miles did Mike travel during his trip from his home to the airport.

Answers

What we know

The amount start's off at $6

Each mile adds $3

When he arrived it was $24

Tips are not added in the equation

Solving

The best way to do this to be honest would be to add all of it together as this is a pretty quick and easy method you can use and it's easy to check.

6+3+3+3+3+3+3 = 24

Adding these many 3's gives us the answer of 24

Meaning that Mike traveled 6 miles from his home to the airport

Statement

Therefore Mike traveled 6 miles during his trip from his home to the airport.

Write the equation of the trigonometric graph

Write the equation of the trigonometric graph

Answers

The equation for the trigonometric graph given above is:

y = 4sin(2x + (π/2))

y = 4 cos 2x

What is a trigonometric graph?

It is to be noted that the domain value of θ  is displayed on the horizontal x-axis and the range value is depicted on the vertical y-axis in the graphs of trigonometric functions.

What is the step-by-step solution to the question?

Note that

y = A Sin (Bx - C) + D

The vertical shift → D

Horizontal [Phase] shift → C/B

Wavelength [Period] →  (2/B) π

Amplitude → | A |

Vertical Shift → 0
Horizontal | Phase | Shift → C/B → [- (π/4)] → (-π/2/2)

Wavelength | Period | → (2/B)π → π → (2/2)π

Amplitude → 4

Hence, working the above further we get:

y = 4sin(2x + (π/2))

y = 4 cos 2x

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Answer(s):

\(\displaystyle y = 4sin\:(2x + \frac{\pi}{2}) \\ y = -4cos\:(2x \pm \pi) \\ y = 4cos\:2x\)

Step-by-step explanation:

\(\displaystyle y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-\frac{\pi}{4}} \hookrightarrow \frac{-\frac{\pi}{2}}{2} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\pi} \hookrightarrow \frac{2}{2}\pi \\ Amplitude \hookrightarrow 4\)

OR

\(\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\pi} \hookrightarrow \frac{2}{2}\pi \\ Amplitude \hookrightarrow 4\)

You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the cosine graph, if you plan on writing your equation as a function of sine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of \(\displaystyle y = 4sin\:2x,\)in which you need to replase "cosine" with "sine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the cosine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the sine graph [photograph on the right] is shifted \(\displaystyle \frac{\pi}{4}\:unit\)to the right, which means that in order to match the cosine graph [photograph on the left], we need to shift the graph BACKWARD \(\displaystyle \frac{\pi}{4}\:unit,\)which means the C-term will be negative, and by perfourming your calculations, you will arrive at \(\displaystyle \boxed{-\frac{\pi}{4}} = \frac{-\frac{\pi}{2}}{2}.\)So, the sine graph of the cosine graph, accourding to the horisontal shift, is \(\displaystyle y = 4sin\:(2x + \frac{\pi}{2}).\)Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph WILL hit \(\displaystyle [-1\frac{1}{4}\pi, 0],\)from there to \(\displaystyle [-\frac{\pi}{4}, 0],\)they are obviously \(\displaystyle \pi\:units\)apart, telling you that the period of the graph is \(\displaystyle \pi.\)Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at \(\displaystyle y = 0,\)in which each crest is extended four units beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.

I am delighted to assist you at any time.

Write the equation of the trigonometric graph
Write the equation of the trigonometric graph

Solve the following quadratic equation for all values of xx in simplest form.(Solving Quadratics with Square Roots (Level 1)
(x+10)^2-8=8

Answers

I think first you have to expand the bracket in order to get x^2+100
Then u have x^2+100-8=8
Then u have to bring 8 over the equality sign and minus it with the other -8 to get -16
It becomes x^2+100-16
Then u find the factors of 16 which add up to 100 but since that’s not possible with the formula I normally use u have to do
X=-b+&-rootb^2-4ac/2ac then simplify your answer and substitute in equation twice with plus and minus to get your answer
(I might be wrong tho)

AB = 6 and AC=13. Find BC.

Answers

Answer:

BC = 7

Step-by-step explanation:

AB + BC = AC

Substitute values for the line segments:

6 + BC = 13

Isolate line segment BC by subtracting both sides by 6:

6 - 6 + BC = 13 - 6

0 + BC = 13 - 6

BC = 7

Check your work:

6 + 7 = 13

13 = 13

Correct!

solve for x and y. please help. will give brainiest

solve for x and y. please help. will give brainiest

Answers

Plz refer the picture

plz mark as brainliest

solve for x and y. please help. will give brainiest

each of three darts lands in a numbered region of the dart board, scxoring the number of points shown. how many different sums are possible for the three darts?

Answers

The number of different sums that are possible for the three darts landing in numbered regions of the dart board depends on the range of scores that can be achieved by each dart. There would be 220 different possible sums for the three darts landing in numbered regions of the dart board.

Let's assume that each dart can score a maximum of N points. To find the number of different sums, we can analyze the possible combinations of scores for the three darts.

One way to approach this is by using the concept of combinations with repetitions. We can think of the three darts as three slots where we can place a score from 0 to N.

For example, if N = 10, the possible scores for each dart would be 0, 1, 2, 3, ..., 10.

To find the number of different sums, we can calculate the number of combinations with repetitions for these scores.

The formula to calculate the number of combinations with repetitions is given by:

C(n + r - 1, r)

where n is the number of scores (N + 1) and r is the number of darts (3).

Using this formula, we can find the number of different sums for any given value of N.

For example, if N = 10, the number of different sums would be:

C(10 + 3 - 1, 3) = C(12, 3) = 220

Therefore, there would be 220 different possible sums for the three darts landing in numbered regions of the dart board.

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Write the slope-intercept form of the equation of the line given the slope -7 and y-intercept is 4.
y = -3x
y = 11
y = 4x - 7
y = -7x + 4

Answers

It’s D because slope intercept form is y=mx+b which is y = -7x + 4
hello!

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

We are given:-

\(\bigstar\)Slope :- -7

\(\bigstar\) y-intercept:- 4

To find:-

\(\bigstar\) the line's equation (in slope intercept form)

Slope intercept form looks like so:-

\(\bigstar\)y=mx+b

where

m -> slope & b -> y-intercept

Plug in the values:-

(instead of m, plug in -7, and instead of b, plug in 4:

\(\bigstar{\boxed{\pmb{y=-7x+4}}\)

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

note:-

Hope everything's clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

True or false? If you took a true "il then statement and revered the clauses,
the new statement would also be true
O A True
O B. False

Answers

the answer to ur question is false

If y varies directly with x and y=-16 when x=8, find y when x=2

Answers

Answer:

y=-4

Step-by-step explanation:

The answer is going to be -4 as when y=-16 x=8.


The math club is doing a car wash as a fundraiser. They charge $7 per car and $12 per minivan. The club wants to raise
$600
Which equation in standard form shows how many cars and minivans m they need to wash to meet their goal

Answers

im not sure but i think it’s 7x+12y=600

Answer:

7x+12y ≤ 600

or

7x+12y = 600

Step-by-step explanation:

Lets first call cars x and minivans y. Since they want to raise 600, you can do the sign ≤ and 600

≤ 600

Since it is $7 per car, we can do 7x.

Since it is $12 per minivan, we can do 12y.

Together, they have to add up to 600 or more.

7x+12y ≤ 600

If you provide some options, I might be able to give a better answer. Without options, I can't tell if they want an exact answer or not. So technically, the answer could also be:

7x+12y = 600

Please help!!!
Find the surface area of the prism below. Do not put units in your answer.

Please help!!!Find the surface area of the prism below. Do not put units in your answer.

Answers

Answer:

256.51

Step-by-step explanation:

Find the hypotonuese of the trangle (8^2+ 5^2= c^2) then multiply all of them together then multiply by a 1/2.

Have a good day :)

The radius of a sphere is 6 units.




Which expression represents the volume of the sphere, in cubic units?

Three-fourthsπ(6)2
Four-thirdsπ(6)3
Three-fourthsπ(12)2
Four-thirdsπ(12)3

Answers

Answer:

The answer is Three-Fourthst(12)2

Answer:

C. or 3

Step-by-step explanation:

Which relation is a function.

Which relation is a function.

Answers

Answer:

its B

Step-by-step explanation:

I just did it

Un concensario de coches rebaja a 16000 un vehiculo que valia 18300 en que porcentaje lo han rebajado?

Answers

As a car dealer lowers a vehicle that was worth 18300 to 16000 by applying the formula of change in percentage we get that by 12.569 percentage (approximately) the price gets lowered .

The initial price of the car is set at P = 18300 (units)

The price after lowering drom P becomes A= 16000 (units)

Hence the change in price (or value) of the car, that is the price of the car is lowered by, C = (initial price - lowered price) = (P - A) = (18300 - 16000) units = 2300 units.

The formula for calculating percentage change is given as follows,

Change in percentage = [(Change in value)/ ( Initial value) ]*100

⇒Change in percentage = (C/ P)*100

⇒ Change in percentage =( 2300/ 18300)*100 = 12.569% (approximately)

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4. Evaluate the following expression for y= 8 and z= 3. (1 poin
(y-2)2 +2 N.
O 28
012
O2
0-4

4. Evaluate the following expression for y= 8 and z= 3. (1 poin(y-2)2 +2 N.O 28012O20-4

Answers

28
(8-3)^2+3= -5^2+3=25+3=28

could someone please help me...... this is hopeless.....

could someone please help me...... this is hopeless.....

Answers

Answer:

Here, I graphed this especially for you.

Step-by-step explanation:

Check the attachment.

could someone please help me...... this is hopeless.....

What can you tell me about 1/3 of 30

Answers

Answer:

10

Step-by-step explanation:

1/3 of 30 is 10 because 3 times 10 is 30

Answer: i could tell you that it is equaled to 10

Step-by-step explanation:

Mark me as brainliest plus extra points

The Microsoft office package used to perform statistical analysis is
a) SPSS
b)Word
c)SAS
d) Excel

Answers

The Microsoft Office package used to perform a statistical analysis is Excel. Therefore, the correct answer is option D.


Microsoft Office's Excel is a spreadsheet program that allows users to organize, calculate, and analyze data. It is often used for statistical analysis due to its built-in functions and tools, such as the ability to create charts and graphs, perform calculations, and use formulas.

Microsoft Office itself is a suite of productivity software that includes tools for creating and editing documents, spreadsheets, presentations, and more. The most commonly used applications in Microsoft Office are Word, Excel, PowerPoint, and Outlook. These tools are used by businesses, students, and individuals for a wide range of tasks, from writing reports and creating budgets to designing presentations and managing email.

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you wish to travel from the west-most point s to the east-most point t of a 1-dimensional segment. there are n teleporters on this 1-d segment and each teleporter has two endpoints. whenever you reach one endpoint, it will teleport you to the other endpoint (it may transport you from east to west or west to east, depending on which endpoint you reach). all the endpoints are located strictly between s and t, and none of the endpoint

Answers

To travel from s to t in a 1-dimensional segment with n teleporters, start at s, check for teleporters, choose one, and repeat until t. The number of steps depends on teleporter arrangement.

To travel from the west-most point s to the east-most point t of a 1-dimensional segment with n teleporters, you can follow these steps:

1. Start at point s, the west-most point of the segment.
2. Check if there are any teleporters on the segment.
3. If there are teleporters, choose one and move to its endpoint.
4. Repeat step 3 until you reach the east-most point t.

The teleporters on the segment will transport you from one endpoint to the other, allowing you to move in both directions. Make sure that all the endpoints are located strictly between s and t, and none of the endpoints are outside this range.

Note that the number of steps required to reach point t will depend on the specific arrangement of the teleporters and their endpoints on the segment.

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Choose all the solids from the list below. Rectangle Pyramid Cylinder Cone Prism Circle

Answers

Answer:

Pyramid, cylinder, cone, prism

Step-by-step explanation:

Answer:

Pyramid, cylinder, cone, prism

Step-by-step explanation:

n a certain wilderness area 1.4 mountain lions are seen each year, on average. what is the probability that in a given year exactly two mountain lions will be seen in this wilderness area? (assume that sightings are independent from each other and that the probability of seeing a mountain lion stays constant.)

Answers

Therefore  ,the probability that in a given year exactly two mountain lions will be seen in this wilderness area is P =0.2417.

How does probability work?

Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%. When an event has a probability of 0, it has no possibility of happening, whereas when it has a probability of 1, it is almost certain to happen. When an event has a probability of 0.45 (45%), there are 45 out of 100 chances that it will occur.

Here,

λ=1.2

=> P(X =x) = \(\frac{e^{-\lambda} * \lambda^{x} }{x!}\)

=> P(X=2) = \(\frac{e^{-1.4} * 1.4^{2} }{2!}\)

=> P(X=2) = 0.2466 * 1.96 /2

=>P(X=2) = 0.2417

Therefore  ,the probability that in a given year exactly two mountain lions will be seen in this wilderness area is P =0.2417.

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Solve the system of linear equations using substitution. Use pencil and paper. Which expression would be easier to substitute into the other​ equation, in order to solve this​ problem? Explain your reasoning. X=6y-2 x=6y=9

Answers

Answer:

X = 6y-2 is the easier substitution for another equation because all you have to do is just plug in the equation into the value of x.

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subversion of serotonin receptor signaling in osteoblasts by kynurenine drives acute myeloid leukemia propose a scheme for the synthesis of 2-benzylbutanoic acid using acetoacetic ester solve asap44-ton monolith is transported on a causeway that is 2500 et long and has a slope of about 4.7. How much force arallel to the incline would be required to hold the monolith this causeway? *** force You suspect an unknown compound possesses a disubstituted alkene. Select all pieces of spectroscopic information that must be present if your hypothesis is correct. signals in the 13C NMR spectrum around 140 ppm stretch in the IR spectrum at approximately 1650 cm-1 signals in the 13C NMR spectrum around 200 ppm signals in the 1H NMR spectrum around 5.5 ppm stretch in the IR spectrum at approximately 1700 cm-1 stretch in the IR spectrum at approximately 2200 cm-1 signals in the 1H NMR spectrum around 10.0 ppm stretches in the IR spectrum immediately above 3000 cm-1 broad stretch in the IR spectrum at approximately 3500 cm-1 Which consonant in the word condemning is silent? A.m B.n C.d D.g {0,1,-3} ----------------------------3 -2 -1 0 10n the number line. Cell phone company Blue Wireless offers a plan with a monthly fee of $59.99, plus $0.18 per minute after the first 200 minutes of talking on the phone. Cell phone company Green Wireless offers a plan with a monthly fee of $79.99, plus $0.08 per minute after the first 100 minutes of talking on the phone. After how many minutes of talking on the phone will the wireless plans cost the same amount? Giving Bats a Helping Handadapted from The National Park Service Bats play an important role in many ecosystems. They eat insects, pollinate plants, serve as prey, and scatter seeds. However, bat populations across the country are being threatened by a fungal disease called white-nose syndrome (WNS). WNS was introduced to the U.S. from Europe about 10 years ago. Since then, it has wiped out entire colonies at times. National parks across the United States are making the management of bat populations and their habitats a priority. The National Park Service has dedicated $3 million to address WNS-related issues. Park personnel must undertake a variety of tasks to safeguard bats and their habitats from WNS. "We're excited to see the creative solutions from parks to fight white-nose syndrome," said Margaret Wild, chief veterinarian for the National Park Service. "The rapid spread of WNS and its high mortality are unprecedented in bats, so a multi-pronged approach to manage it is critical." Park personnel have designed many solutions to combat WNS. Primarily, they regulate human access into caves and abandoned mines and tunnels. Bats use caves for hibernation and maternity roosts. These secured areas provide a safe place for bats to reproduce and raise their young. Park staff at a national park in Maryland used WNS funding to install gates in canal tunnels. The gates allow bats safe passage but keep people out. These gates were necessary after park officials discovered evidence of vandalism at some tunnels. This activity endangers the health and safety of hibernating bats inside. Researchers have determined that WNS is caused by a particular fungus. People can spread this fungus. 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Park staff, researchers, and volunteers use several methods to survey bat populations in parks. Documenting baseline population numbers allows researchers to determine the full effects of WNS on different species of bats and in different regions. Scientists use the data to identify at-risk populations and refine management plans to better protect them. These various actions should give the bats the helping hand they need to overcome WNS and continue their important contribution to the ecosystem.White-Nose Syndrome (WNS) Fact Sheet There are two periods, time 1 and time 2. Assume that the market rate of interest is 10%.Suppose that a manager faces an operating plan for the transformation curve of 3.3K + K =22 where K is funds sold and utilised in time I and K2 is funds sold and utilised in time 2.a. Solve the manager's maximization problem.b. Graphically show the solution you obtain for part a. 3 different ways color sensors are used in everyday life. speech on the topic about the cyber crime 4.2. Discuss five technical elements used in the theatre ,give a brief explanation and give an example of each from the polished improvisation which you performed. (8) the store offers a 20% discount, The t- shirt is $18 and the discounted price is $3.60 ? If the regular price for an item is x dollars, what is the discounted price? (Hint: write an expression) The two-way table below gives the thousands of commuters in Massachusetts in 2015 by transportation method and one-way length of commute.Less than 151515 minutes 151515-292929 minutes 303030-444444 minutes 454545-595959 minutes 606060 or more minutes TotalPrivate vehicle 636636636 908908908 590590590 257257257 256256256 264726472647Public Transportation 999 545454 969696 626262 108108108 329329329Other 115115115 707070 232323 777 777 222222222Total 760760760 103210321032 709709709 326326326 371371371 319831983198Given that the commuter used public transportation, find the probability that the commuter had a commute of606060 or more minutes.P(60+ minutes public transportation)=P(60+ minutes public transportation)= If a client-centered therapist were treating a very anxious man, the therapist would try to:____. What is the temperature of someone with a fever? Select the better estimate.40F40C Which statement best describes the Anti-Federalist view of the Constitution?The Constitution gave too much power to a central government.The Constitution gave most of the governing authority to the states.The Constitution set up a monarchy similar to Britain.The Constitution did not give the military enough power. One who admonishes; one who warns of faults, informs of duty, or gives advice and instruction by way of reproof or caution.2. Hence, specifically, a pupil selected to look to the school in the absence of the instructor, to notice the absence or faults of the scholars, or to instruct a division or class.3. Any large Old World lizard of the genus Varanus; esp., the Egyptian species (V. Niloticus), which is useful because it devours the eggs and young of the crocodile. It is sometimes five or six feet long.4. An ironclad war vessel, very low in the water, and having one or more heavily-armored revolving turrets, carrying heavy guns.Which definition gives the accurate meaning for monitor as it is used in this sentence?If an athletes body temperature reaches a dangerous level, the monitor immediately transmits an alert.ResponsesA Definition 3Definition 3B Definition 2Definition 2C Definition 1Definition 1D Definition 4 Match each painting with the time and place in which it was produced.The Descentfrom the Crossby Rogier van derWeyden?The Renaissance in ItalyThe Creation ofAdam byMichelangelo?.The 19th century in EuropeThe Starry Nightby Vincent van?Late Middle Ages innorthern EuropeGogh In the world of French high cuisine, a three-star rating from the Michelin Red Guide is a widely accepted indicator of gastronomic excellence. French consumers consider Gault Milleau, another restaurant guide, not as authoritative as the Michelin guide because Gault Milleau, unlike Michelin, accepts advertising and its critics accept free meals. a. Why are guides' ratings important to restaurant owners and chefs? Discuss the effect of a restaurant's rating on the demand for the restaurant. A. It provides information to consumers regarding the restaurant's quality, thus, reducing the adverse selection problem. A high rating can increase demand. B. It provides information to consumers regarding the restaurant's quality, thus, reducing the moral hazard problem. A high rating can increase demand. b. Why do advertising and free meals taint the credibility of Gault Milleau? Discuss the moral hazard problem of Gault Milleau's ratings. A. The critics may be biased toward restaurants that give them free meals or advertise in the guide. Once the restaurant gets a good rating, it may reduce the quality of its meals. B. The critics may be biased toward restaurants that give them free meals or advertise in the guide. Customers of the guide expect the ratings to be objective and accurately reflect the quality of the restaurant. C. Advertising and free meals have no effect on the credibility of the guide. D. Both A and B are correct. c. If advertising and free meals taint the credibility of Gault Milleau, why does the guide accept advertising and free meals? A. Without advertising, Gault Milleau would conduct less research because information is a public good. B. Without advertising, Gault Milleau's revenue would be lower because people share the guides. Advertising offsets the revenue lost from the information being shared freely. C. The guide caters to tourists who likely will never visit a restaurant twice; thus, it doesn't matter if its credibility is tainted or not. D. Both A and B. E. All of the above.