A marine biologist is researching the population density of manatees. The marine biologist counts 550 manatees within a radius of 5 miles of a half circle off of Crystal Bay. What is the population density of the manatees? Use 3. 14 for pi, and round to the nearest whole number

As he labels the solution jugs, he wants to include safety information. He labels the developing solution as toxic. He labels the stop bath solution as irritant. He labels the fixing solution as corrosive.

Developing solutions are typically made up of a reducing agent and a solvent. The reducing agent reacts with the silver halide in the photographic emulsion to create a latent image.

Stop bath solutions are used to stop the development process. They typically contain an acid or an alkaline solution that neutralizes the developing solution.

Fixing solutions are used to make the photographic emulsion permanent. They typically contain a thiosulfate compound that reacts with the unexposed silver halide crystals to convert them into a soluble form that can be washed away.

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Answer:

50%

Step-by-step explanation:

8 - Pink

11 - Blue

4 - Yellow

7 - Purple

8+7  = 15

15/30

50% chance of grabbing a pink or purple

Answer:

Three months to five years

Step-by-step explanation:

look it up

Answer:

225 degrees

Step-by-step explanation:

Given the following data;

To find the angle in degrees subtended by an arc;

Mathematically, the length of the arc of a circle is given by the formula;

S = rA

Where;

Substituting the values into the formula, we have;

22 = 5.6 * A

\( A = \frac {22}{5.6} \)

A = 3.9286 radians.

Next, we would convert the value of the angle in radians to degrees;

Conversion:

\( 1 \; radian = \frac {180}{\pi} \; degrees \)

\( 3.9286 \; radians = X \; degrees \)

Cross-multiplying, we have;

\( X = \frac {180}{\frac {22}{7}} * 3.9286 \)

\( X = \frac {180 * 7}{22} * 3.9286 \)

\( X = \frac {1260}{22} * 3.9286 \)

\( X = 57.2727 * 3.9286 \)

X = 225.0015 ≈ 225 degrees

Answer: ik the second one

Step-by-step explanation: every month you have to add 500 dollars .

Amount of money owed

1 = 500

2 = 1000

3 = 1500

etc

Answer:

a) 2/3 fraction is shaded.

b) 66.67% is shaded.

Using Euler integration, the next values of x and y can be determined as follows:

x_next = x_current + delta_X

y_next = y_current + delta_X * y'

Euler integration is a numerical method used to approximate solutions to differential equations. It is based on the concept of dividing the interval into small steps and using the derivative at each step to calculate the next value. In this case, we are given the current values of x=2, y=8, and y'=9, with a step size of delta_X=5.

To determine the next values of x and y, we use the following formulas:

x_next = x_current + delta_X

y_next = y_current + delta_X * y'

Substituting the given values into the formulas, we have:

x_next = 2 + 5 = 7

y_next = 8 + 5 * 9 = 53

Therefore, the updated values of x and y using Euler integration are x=7 and y=53.

It's important to note that Euler integration provides an approximate solution and the accuracy depends on the chosen step size. Smaller step sizes generally lead to more accurate results. Other numerical methods, such as Runge-Kutta methods, may provide more accurate approximations.

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We can find the marginal densities as follows: f_X(x) = integral from 0 to 1 of f(x,y) dy = integral from 0 to 1 of (2/3)(x + y) dy

To find the value of C, we need to use the fact that the total probability over the region must be 1. That is,

integral from 0 to 1 of (integral from 0 to 1 of C(x + y) dy) dx = 1

We can simplify this integral as follows:

integral from 0 to 1 of (integral from 0 to 1 of C(x + y) dy) dx = integral from 0 to 1 of [Cx + C/2] dx

= (C/2)x^2 + Cx evaluated from 0 to 1 = (3C/2)

Setting this equal to 1 and solving for C, we get:

C = 2/3

To compute the covariance, we need to first find the means of X and Y:

E(X) = integral from 0 to 1 of (integral from 0 to 1 of x f(x,y) dy) dx = integral from 0 to 1 of [(x/2) + (1/4)] dx = 5/8

E(Y) = integral from 0 to 1 of (integral from 0 to 1 of y f(x,y) dx) dy = integral from 0 to 1 of [(y/2) + (1/4)] dy = 5/8

Now, we can use the definition of covariance to find Cov(X,Y):

Cov(X,Y) = E(XY) - E(X)E(Y)

To find E(XY), we need to compute the following integral:

E(XY) = integral from 0 to 1 of (integral from 0 to 1 of xy f(x,y) dy) dx = integral from 0 to 1 of [(x/2 + 1/4)y^2] from 0 to 1 dx

= integral from 0 to 1 of [(x/2 + 1/4)] dx = 7/24

Therefore, Cov(X,Y) = E(XY) - E(X)E(Y) = 7/24 - (5/8)(5/8) = -1/192

To compute the correlation, we need to first find the standard deviations of X and Y:

Var(X) = E(X^2) - [E(X)]^2

E(X^2) = integral from 0 to 1 of (integral from 0 to 1 of x^2 f(x,y) dy) dx = integral from 0 to 1 of [(x/3) + (1/6)] dx = 7/18

Var(X) = 7/18 - (5/8)^2 = 31/144

Similarly, we can find Var(Y) = 31/144

Now, we can use the definition of correlation to find p(X,Y):

p(X,Y) = Cov(X,Y) / [sqrt(Var(X)) sqrt(Var(Y))]

= (-1/192) / [sqrt(31/144) sqrt(31/144)]

= -1/31

Finally, to determine if X and Y are independent, we need to check if their joint distribution can be expressed as the product of their marginal distributions. That is, we need to check if:

f(x,y) = f_X(x) f_Y(y)

where f_X(x) and f_Y(y) are the marginal probability densities of X and Y, respectively.

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Answer:

$9.3

Step-by-step explanation:

1.35 x 3 = 4.05

3.50 ÷ 2 = 1.75

1.75 x 3 = 5.25

5.25 + 4.05 = 9.30

Answer:

Wdym?

Step-by-step explanation:

Im confused

The equation that is false is the one in option B,

\((x^{3/5})^{1/2} = \sqrt[3]{x^{10}}\)

An equation is false if the thing in the left side is different than the thing in the right side.

Now, remember the exponent rules:

\((x^a)^b = x^{a*b}\\\\x^{1/n} = \sqrt[n]{x}\)

Now let's go to the second option, the expanding the thing we have in the left side we will get:

\((x^{3/5})^{1/2} = x^{3/5*1/2} = x^{3/10} = \sqrt[10]{x^3}\)

Now, this is different of the thing we can see in option B, so we conclude that B is the false equation.

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The global maximum and minimum values of f(x, y) subject to the constraint x^2 + y^2 = 80 are both approximately 15.314, and they occur at the points (2√5, -4√5) and (-2√5, 4√5), respectively.

To use Lagrange multipliers, we need to define the Lagrangian function as follows:

L(x, y, λ) = f(x, y) - λg(x, y)

where g(x, y) is the constraint function, which in this case is g(x, y) = x^2 + y^2 - 80.

So, we have:

L(x, y, λ) = (x - 1)^2 + (y + 2)^2 - λ(x^2 + y^2 - 80)

Next, we need to find the partial derivatives of L with respect to x, y, and λ, and set them equal to 0:

∂L/∂x = 2(x - 1) - 2λx = 0

∂L/∂y = 2(y + 2) - 2λy = 0

∂L/∂λ = x^2 + y^2 - 80 = 0

Simplifying the first two equations, we get:

x(1 - λ) = 1

y(1 - λ) = -2

Dividing these two equations, we get:

x/y = 1/-2 => x = -y/2

Substituting this into the constraint equation, we get:

(y/2)^2 + y^2 = 80 => 5y^2 = 320 => y = ±4√5

Substituting this back into x = -y/2, we get:

x = ∓2√5

So, the critical points are (2√5, -4√5) and (-2√5, 4√5).

To determine whether these are maximum or minimum values, we need to compute the second partial derivatives of L:

∂^2L/∂x^2 = 2 - 2λ

∂^2L/∂y^2 = 2 - 2λ

∂^2L/∂x∂y = 0

At the critical points, we have λ = 1/5, so:

∂^2L/∂x^2 = -2/5 < 0, so (2√5, -4√5) is a local maximum.

∂^2L/∂y^2 = -2/5 < 0, so (-2√5, 4√5) is a local maximum.

To determine whether these are global maximum or minimum values, we need to compare the values of L at these critical points and at the endpoints of the constraint region:

L(2√5, -4√5) ≈ 15.314

L(-2√5, 4√5) ≈ 15.314

L(4√2, 0) = 18

L(-4√2, 0) = 18

So, the global maximum and minimum values of f(x, y) subject to the constraint x^2 + y^2 = 80 are both approximately 15.314, and they occur at the points (2√5, -4√5) and (-2√5, 4√5), respectively.

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The better deal of the given pair is $31.05/1. The unit rate is $2.07.

The better deal is the deal that has the lower unit rate. Unit rate is the price per gallon. The unit rate can be determined by dividing the total cost by the total gallons bought.

Division is the operation that is used in mathematics to determine the quotient of two or more numbers. Division entails grouping a number into groups using another number. Other operations used in mathematics are addition, multiplication and subtraction.

Unit rate = total cost / number of gallons

$56 / 25 = $2.24

$31.05 / 15 = $2,07

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The linear equation doesn't have a solution.

The linear equation given is illustrated as: 4x-(2x-1) = x+5+x-6

This will be solved thus:

4x - 2x + 1 = x+5+x-6

4x - 2x + 1 = 2x - 1.

2x + 1 = 2x - 1

Collect like terms

2x - 2x = -1 - 1

0 = -2

This illustrates that the equation doesn't have a solution.

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Answer: x=3 ; y=13

Step-by-step explanation:

1. isolate y from equation to substitute into the second equation

y= 16-x ---> (16-x) = 3x+4

2. move to one side and solve for x

4x=12 --> x=3

3. plug in x value to solve for y

3+y=16 or 3(3)+4

y=13

Answer:

for question no 5

answer is 1/10

Prism:
- Minimum number of faces: 5 (2 bases and 3 lateral faces)
- Minimum number of edges: 9 (3 edges on each base and 3 lateral edges)

Pyramid:
- Minimum number of faces: 4 (1 base and 3 lateral faces)
- Minimum number of edges: 6 (3 edges on the base and 3 lateral edges)

Polyhedron:
- Minimum number of faces: 4 (a tetrahedron)
- Minimum number of edges: 6 (a tetrahedron)

a. A prism is a polyhedron with two parallel congruent bases and rectangular faces connecting the bases. The minimum number of faces for a prism is 5: two bases and three rectangular faces. The minimum number of edges for a prism is 9: three edges connecting each vertex of one base to the corresponding vertex of the other base, and six edges connecting the vertices of the rectangular faces to the vertices of the bases.

b. A pyramid is a polyhedron with a polygonal base and triangular faces connecting the base to a common vertex. The minimum number of faces for a pyramid is 4: one polygonal base and three triangular faces. The minimum number of edges for a pyramid is 6: one edge for each side of the polygonal base, and three edges connecting each vertex of the base to the common vertex.

c. A polyhedron is a three-dimensional shape with flat faces and straight edges. The minimum number of faces and edges for a polyhedron depends on the specific shape, and there is no general formula to determine the minimum values. For example, a tetrahedron has 4 triangular faces and 6 edges, while a cube has 6 square faces and 12 edges. The minimum number of faces and edges for a polyhedron can be calculated by examining the shape and its properties, such as symmetry and number of vertices.

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Answer:

See explanations below

Step-by-step explanation:

Mean is the average of the data

Mean = sum of data/sample size

Sum of data = 89+99+80+5+90+0+100+95

Sum of data = 558

Sample size = 8

Mean = 558/8

Mean = 69.75

Median is the data value in the middle after rearrangement

Rearrange

0 , 5, 80) 89, 90, (95, 99 100

Median = 89+90/2

Median = 89.5

The parameter that gives a better picture of the scores is the Mean since all the given datas are taken into consideration

The mean test score is

✔ 69.75

.

The median test score is

✔ 89.5

.

Which measure of center best represents the test data?

✔ median

I hope this helps!

Answer:

..........

Step-by-step explanation:

Answer:

jj

Step-by-step explanation:

Answer:

required answer. is 1/x³

Answer:

the statement that is true is: A and B are not independent because P(AIB) + P(B) is not equal to P(BIA) + P(A)

Step-by-step explanation:

ur welcome

The probability that a randomly chosen unit of insulin came from the plant in Jefferson City given that it is defective is 0.16, or 16%.

We can use Bayes' theorem to find the probability that a randomly chosen unit of insulin came from the plant in Jefferson City given that it is defective. Let A be the event that the unit of insulin came from the plant in Jefferson City, and let B be the event that the unit of insulin is defective. Then, we want to find P(A|B), the probability that A occurs given that B occurs.

Using Bayes' theorem, we have:

P(A|B) = P(B|A) * P(A) / P(B)

where P(B|A) is the probability that the unit of insulin is defective given that it came from the plant in Jefferson City, P(A) is the prior probability that the unit of insulin came from the plant in Jefferson City, and P(B) is the overall probability that the unit of insulin is defective.

We are given that P(B|A) = 0.1, P(A) = 0.4, and P(B) = 0.25. Plugging these values into the formula, we get:

P(A|B) = (0.1 * 0.4) / 0.25 = 0.16

Therefore, the probability that a randomly chosen unit of insulin came from the plant in Jefferson City given that it is defective is 0.16, or 16%.

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Answer:

B

Step-by-step explanation:

c

In regression analysis , the error term ε is a random variable with expected value of 0.

What is regression analysis?

A set of statistical procedures known as regression analysis is used to estimate the relationships between a dependent variable and one or more independent variables.

Main Body:

In regression analysis, the model in the form is called regression model.

The mathematical equation relating the independent variable to the expected value of the dependent variable; that is, E(y) = β0 + β1x, is known as regression equation.

So the answer  to error term is 0.

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None of the given functions (f(x), g(x), or h(x)) are the same based on the properties of exponents.

Let's analyze the given functions:

f(x) = 67 - 2

g(x) = 67 - 36

Using properties of exponents, we can simplify the expressions:

\(f(x) = 67^1 * 2^{-1}\\g(x) = 67^1 * 36^{-1}\)

By observing the expressions, we can see that f(x) and g(x) are not the same. Therefore, the following statements are false:

f(x) = B(6)

g(x) = -h(x)

g(x) = h(x)

f(x) = g(x)

f(x) = h(x)

f(x) = -g(x)

None of the functions mentioned are the same.

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Answer:

c

Step-by-step explanation:

hope this help

pls mark as brainliest

Answer:

\(n=\{0,\: 4\}\)

Step-by-step explanation:

\(|3n-6| = 6\\\therefore 3n - 6 = \pm 6\\\therefore 3n = 6 \pm 6\\\therefore 3n =6+6\:\: or\:\: 3n = 6-6\\\therefore 3n =12\:\: or \:\:3n = 0\\\\\therefore n =\frac{12}{3}\:\: or\:\: n =\frac{0}{3}\\\\\therefore n = 4 \:\: or\:\: n = 0\\\\\therefore n=\{0,\: 4\}\\\)

Answer:

Quotient = 13

Remainder = 0

Step-by-step explanation:

Reversed number => 94

=> 94 + 49 / 11

=> 143 / 11

=> 13

Quotient = 13

Remainder = 0

Answer:it’s 13

Step-by-step explanation:49+94/11=13