among various populations of plants or animals diseases spread exponentially use the function y=325(1-e^-0.15t) tomorrow the spread of the potentially lethal Newcastle disease among a flock of 325 turkeys on a turkey farm with the equal to the number of days since the first case of the disease how many birds will be infected with Newcastle disease after seven days

Answer:

18. d

19. c (not sure)

20. c

Answer:

18) d. Synopsis

19) c. Duration

20) c. Pacify

Step-by-step explanation:

18) When you don’t wanna give the full version of a story sum it up; give a summary or synopsis!

19) Uh tbh it just makes the most sense in context of the sentence, read it all together and you’ll see ;)

20) In the sentence it says “calm down” only way to calm someone down is to pacify them or give them what they want… in this context she needs to pacify them. Plus it just makes sense.

Hope this helps, good luck have a good day!

a. The population mean is between 30.71 and 33.29, with a 95% confidence interval.

b. We may be 90% certain that the population mean is between 30.82 and 33.18.

c. 99% certain that it is between 30.12 and 33.88; and 99% certain that it is between 30.12 and 33.88.

We need to know the sample standard deviation and the level of confidence in order to provide a confidence interval for the population mean.

Since these numbers are not provided, we will make the assumption that there is a 95% chance of success and calculate the population standard deviation using the sample standard deviation.

a. We can apply the following calculation to generate a 95% confidence interval for the population mean:

\(CI = \bar{X} \pm z*(s/\sqrt{n } )\)

Where:

=\(\bar{X}\) sample mean = 32

s = sample standard deviation

n = sample size = 60

z = z-score for 95% confidence level = 1.96

Using the sample standard deviation, which is not provided, we can calculate the population standard deviation.

The sample standard deviation, let's say, is 5.

The confidence interval can then be determined using the formula below:

CI = 32 ± 1.96*(5/√60)

CI = 32 ± 1.29

CI = (30.71, 33.29)

As a result, we can say with 95% certainty that the population mean is somewhere between 30.71 and 33.29.

b. We may apply the same formula as above but with a different z-score to produce a 90% confidence interval for the population mean:

CI =  ± z*(s/√n)

Where:

\(\bar{X}\)= sample mean = 32

s = sample standard deviation

n = sample size = 60

z = z-score for 90% confidence level = 1.645

Using the same sample standard deviation of 5, we can calculate the confidence interval as follows:

CI = 32 ± 1.645*(5/√60)

CI = 32 ± 1.18

CI = (30.82, 33.18).

Therefore, the population mean is between 30.82 and 33.18, and we can say with 90% confidence.

c. We can apply the same calculation as above but with a different z-score to produce a 99% confidence interval for the population mean:

CI = \(\bar{X}\) ± z*(s/√n)

Where:

\(\bar{X}\)= sample mean = 32

s = sample standard deviation

n = sample size = 60

z = z-score for 99% confidence level = 2.576

Using the same sample standard deviation of 5, we can calculate the confidence interval as follows:

CI = 32 ± 2.576*(5/√60)

CI = 32 ± 1.88

CI = (30.12, 33.88)

Therefore, we can be 99% confident that the population mean is between 30.12 and 33.88.

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Answer:

\( \sqrt{44} \)

Answer:

44

Step-by-step explanation:

Answer:

2x - y = -8

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let x be the number of adult tickets Travis bought, and y be the number of children tickets he bought.

We know that Travis bought a total of 14 tickets, so x + y = 14.

We also know that the total cost of the tickets was $54, so 5x + 3y = 54.

We can use the first equation to solve for y in terms of x: y = 14 - x.

Substituting this into the second equation, we get:

5x + 3(14 - x) = 54

Simplifying and solving for x, we get:

5x + 42 - 3x = 54

2x + 42 = 54

2x = 12

x = 6

Therefore, Travis bought 6 adult tickets and 14 - 6 = 8 children tickets.

to find maximum wage of number equality of boy adult and child.

I mean: 48 = 6.8

12 person from here

2 person remain

6 $ remain as well

6 = 2 child ticket

so the answer is 6

Answer:

4.6667

Step-by-step explanation:

Answer:

4.66666667

Step-by-step explanation:

I was never sure about the amount 6's in it, but 2/3 is just .6666666... (so on) and 4 is a whole number so you'll just place it before like so: 4.66666..

Using the normal distribution and the central limit theorem, it is found that:

a) Since the distribution is skewed and the sample size is less than 30, the probability cannot be calculated.

b) There is a 0.1469 = 14.69% probability that the mean play time is more than 260 seconds.

The z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The mean and the standard deviation are given by, respectively:

\(\mu = 255, \sigma = 30\)

In item a, according to the Central Limit Theorem, since the distribution is skewed and the sample size is less than 30, the probability cannot be calculated.

For item b, we have that n = 40 > 15, hence the standard error is given by:

\(s = \frac{30}{\sqrt{40}} = 4.74\)

The probability is one subtracted by the p-value of Z when X = 260, hence:

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{260 - 255}{4.74}\)

Z = 1.05

Z = 1.05 has a p-value of 0.8531.

1 - 0.8531 = 0.1469.

There is a 0.1469 = 14.69% probability that the mean play time is more than 260 seconds.

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The population growth rate for the specified time period is shown by the area between the curves. It is determined by deducting the annual birth rate from the annual death rate.

The area between the curves for 0 to t is given by

Area = ∫ 0 t (2200 + 52.3t − 0.74t2)dt

= (2200t + 26.15t2 − 0.25t3)∣ 0 t

= (2200t + 26.15t2 − 0.25t3)∣ 0 t

= (2200t + 26.15t2 − 0.25t3)∣ 0 t

= (2200t + 26.15t2 − 0.25t³)∣ 0 t

= (2200 × t + 26.15t² − 0.25t³)∣ 0 t

= (2200t + 26.15t² − 0.25t³)∣ 0 t

= (2200t + 26.15t² − 0.25t³)∣ 0 t

= 11000 t + 1307.5t² - 12.5t³

This area represents the net change in population over the given time period, from 0 to t.This can be used to shed light on population trends and produce projections about how many people will live in a particular area in the future.

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Answer: (1, 5)

Step-by-step explanation:

Hope this helps! :)

Using Kepler's Third Law, we can find the distance of the exo-planet from its star. The formula is P^2 = a^3, where P is the orbital period in years and a is the average distance from the planet to the star in astronomical units (AU).

the average distance of Le Grosse Homme from its star is approximately 2 AU, which is answer choice b).

To determine the distance of the exo-planet Le Grosse Homme to the star, we will use Kepler's Third Law, which states that the square of the orbital period (P) of a planet is proportional to the cube of the semi-major axis (a) of its orbit. The formula is given as:

P² = a³

In this case, the orbital period P is 2.8284 years. We can now solve for the semi-major axis (a), which represents the distance from the planet to the star in astronomical units (AU).

Step 1: Square the orbital period
(2.8284)² = 7.99968336

Step 2: Find the cube root of the squared orbital period to get the distance (a)
a = ∛(7.99968336) ≈ 2.0 AU

So, the distance of the exo-planet Le Grosse Homme to the star is approximately 2.0 AU. The correct answer is option (b) ~2.0 AU.

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The standard form of a quadratic equation is:

in this equation the vertex is (h,k). Moreover, if a>0 the parabola opens upward and vertex is a reletive minimum; if a<0 the parabola opens downward and the vertex is a maximum.

In this case the vertex is (-2,-1) and since a=1/3 then this is a minimum of the parabola.

Answer:

x = 70

Step-by-step explanation:

A function that depends on another function is referred to as a composite function.

Let's say the price of an item is $1

Scenario #1 - 40% off $1  = 40 cents OFF

The discounted price = 60 cents

Now the 10% off of 60 cents

60-6 = 54 cents.

Scenario #2 - 10% of $1

The discounted price = 10 cents

100(cents) - 10 = 90 cents

Now the 40% off of 90 cents

90-36 = 54 cents

Let's try another value to confirm

Let's say the price of an item is $2

Scenario #1  - 40% off $2 = 80 cents OFF

200-80= 120 = $1.20

Now the 10% off of $1.20

120-12= 108 = $1.08

Scenario #2 - 10% off $2 = 20 cents OFF

200-20 = 180= 1.80

Now the 40% off of $1.80

180-72 = 108 = 1.08

The complete question is,

A store offers a discount of 40 off any one regular-priced item. employees also get 10% off any purchases. in which order should the discounts apply so that the employee pays the least amount?

A. Employee discount then store discount

B. They are both the same

C. Store discount then employee discount

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Answer:

AFE = 180

CFE = 105

BFD = 130

BFD is a obtuse angle

Step-by-step explanation:

Answer:

Step-by-step explanation:

If you use the formula \(m = \frac{y2 - y1} {x2 - x1}\) with x1 being 7, y1 being 0, -5 being x2 and 5 being y2, then you can subtract. 5(y2) minus 0(y1) is 5, and -5(x2) minus 7(x1) is -12. The formula would look like this: \(m = \frac{5 - 0}{-5 - 7} \frac{5}{-12}\).

(tip: you need to do rise over run, aka y over x, shown as \(\frac{y}{x}\) or \(\frac{rise}{run}\))

I hope I helped you answer your question, and helped better understand it as well

Hey there! I'm happy to help!

NUMBER 1

This is a trick to solve any proportion.

Multiply the diagonal numbers.

5(16)=80

Divide by the number that isn't the one you want to find.

90/8=10

And you are left with the number you haven't touched. We haven't touched x, so x=10.

NUMBER 2

Cross multiply.

45(-50)=-2250

Divide.

-2250/3=-750

So x=-750.

QUESTION 3

4(27)=108

108/12=9

So x+3=9, subtract 3 from both sides x=6.

Have a wonderful day! :D

Step-by-step explanation:

The 98.8% is useless, since we're calculating the maximum, not the theoretical probability of it, so I'm going to assume that it is 100% (maximum), or 1.

Since the percentage of people taking the pill is 13.2%, then it would be 32,000,000*13.2%*1, (or 0.132). The one doesn't really matter, but I added it to show you that usually, the effectiveness does get multiplied as well. This would result in 4224000 or 4.224 million. Hope this helped!

The statement "If f(x) is defined for all x ≤ R, then derivative f'(x) is also defined for all x = R" is sometimes true.

The first part states that "f(x) is defined for all x ≤ R." This means that the function f(x) is defined and exists for every value of x that is less than or equal to R. In other words, the function is defined in the interval (-∞, R].

The second part of the statement says that "f'(x) is also defined for all x = R." Here, f'(x) represents the derivative of the function f(x). It states that the derivative of f(x) exists and is defined at x = R.

The key point to consider is that the existence and differentiability of a function at a specific point are not dependent on the entire interval in which the function is defined. In other words, just because a function is defined for all x ≤ R does not necessarily mean that its derivative will be defined at x = R.

Therefore, it is possible for the statement to be true in some cases, where the derivative exists at x = R, but it is not always true. The truthfulness of the statement depends on the specific properties and behavior of the function f(x) and its derivative f'(x) in the vicinity of x = R.

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Step-by-step explanation:

I'm not going to help you with all of them but I will provide explanations to two problems and that will help you with the rest of them.

13. For this problem, the sum of the angle measures of a triangle is 180. We have 2 interior angle measurements (2x + 21 and 90) and we have to solve for x to get the full answers.

\(2x+21+90+x=180\)

Addition is associative and commutative. The order of which we add like terms wont matter.

\(3x+111=180\)

Subtract 111 on both sides

\(3x=69\)

Divide by 3

\(x=23\)

Now solve for one of the angle measures by plugging in 23 for the variable x.

\(2*23+21\)

90

The interior angle measures are 90, 23, and 90 degrees.

14. For this problem we need to solve for the exterior angle measure. Instead of 180, we do whatever the unsolved exterior angle measure is.

\(80+x=3x-22\)

Add 22 to both sides

\(102+x=3x\)

Subtract x on both sides

\(102=2x\)

Divide by 2

\(x=51\)

Plug in 51 in the equation

\(3 * 51 - 22\)

\(131\)

Hope this helps for the other problems!

Answer:

3

Step-by-step explanation:

a. The number of disappointed customers is 157. b. Unsold dolls = 135. c. The dolls needed per week is 660. d. The price of $0.63 will make the supply of the doll tight. e. The price at which the demand and supply will be at equilibrium is $3.20.

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

a. The supply and the demand associated from the graphs are:

Supply: 95(2.50) - 60 = 178

Demand: -130(2.50) + 660 = 335

Subtracting the Demand and supply:

335 - 178 = 157

The number of disappointed customers is 157.

b. For unsold dolls set the equation for supply and demand:

Supply: 95(3.80) - 60 = 301

Demand: -130(3.80) + 660 = 166

Subtract the value of demand and supply:

301 - 166 = 135

Unsold dolls = 135

c. To give the dolls away, the cost of the doll is $0.

The demand equation thus becomes:

y = -130(0) + 660

y = 660

The dolls needed per week is 660.

d. Let the supply be 0.

y = 95x - 60

0 = 95x -60

x = $0.63

The price of $0.63 will make the supply of the doll tight.

e. The supply an demand will be in equilibrium when Demand = Supply, that is:

95x - 60 = -130x + 660

95x + 130x = 720

225x = 720

x = $3.20

The price at which the demand and supply will be at equilibrium is $3.20.

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Answer: I don't know what you need help on with this question

Step-by-step explanation:

I would help if I knew

Answer:

n = 3200

Step-by-step explanation:

200 = 1000 - \(\frac{n}{4}\) ( subtract 1000 from both sides )

- 800 = - \(\frac{n}{4}\) ( multiply both sides by 4 to clear the fraction )

- 3200 = - n ( multiply both sides by - 1 )

n = 3200

Answer:

The answer is 16.8 cm^ 2.

The weakest base is C5H5N (pyridine) with Kb = 1.7 × 10^(-9). The correct answer is C.

The strength of a base is determined by its ability to accept or donate a pair of electrons. In general, a stronger base has a higher tendency to accept or donate electrons compared to a weaker base.

In the given options, the bases are characterized by their Kb values. Kb (base dissociation constant) represents the equilibrium constant for the reaction of a base with water to form the corresponding conjugate acid and hydroxide ions.

Comparing the Kb values provided:

A smaller Kb value indicates a weaker base because it corresponds to a lower concentration of hydroxide ions in solution. Therefore, in this case, C5H5N (pyridine) with a Kb value of 1.7 × 10^(-9) is the weakest base among the given options. The correct answer is C.

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To find  The Range Of A Function Algebraically  follow followings steps.

Writing y=f(x) and solving for x gives the form x=g(y). Once we find the domain of g(y), this becomes the domain of f(x). Note:

If there is a particular x-value that cannot be in the domain, the corresponding y-value must not be in the domain!

If you can't solve for x, try graphing the function to find the bounds. 

In math, a function represents a defined relationship between an independent variable (x) and a dependent variable (y).

The range of a function refers to all the possible values y could be.

The formula to find the range of a function is y = f(x). In a relation, it is only a function if every x value corresponds to only one y value.

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We have the following ratio scale:

If we move the DRAWING term to the rght hand side, we get

In our case, the line is 15 inches long, then we have

which gives

Therefore, the answer is 50 inches.

The sketch of the solid whose volume is given by the iterated integral is given below.

To sketch the solid, we can first look at the limits of integration. The limits of x are from 0 to 1, and the limits of y are from 0 to 1-x. This means that the solid is a right triangular pyramid with base vertices at (0,0), (1,0), and (0,1), and height h given by the function h(x,y) = 101(7-x-5y).

The solid has a straight side along the x-axis and two straight sides along the y-axis, and a curved side for the hypotenuse of the base triangle.

The highest point of the top of the solid occurs at the vertex opposite the base triangle, which is at (x,y,z) = (1/3,1/3,200/3).

The lowest point of the top of the solid occurs at the vertex of the base triangle at (x,y,z) = (0,0,707/3).

Thus, the sketch of the solid is prepared.

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