Select all of the scales that are equivalent to 3 cm to 4 km.

0.75 cm to 1 km
1 cm to 3/4 km
6 km to 8 cm
7.5 to 10 km

The probability that the student gets 4 answers correct is approximately 0.032.

To calculate the probability, we need to determine the number of ways the student can choose 4 correct answers out of 6 questions. Each question has 5 possible answers, so the total number of possible outcomes for each question is 5.

Using the binomial probability formula, we can calculate the probability as follows:

P(X = k) = C(n, k) * p^k * q^(n-k)

Where:

P(X = k) is the probability of getting k successes (in this case, 4 correct answers),

C(n, k) is the number of combinations of n items taken k at a time,

p is the probability of success on a single trial (getting an answer correct), and

q is the probability of failure on a single trial (getting an answer incorrect).

In this case, n = 6 (number of questions), k = 4 (number of correct answers), p = 1/5 (probability of getting a single question correct), and q = 4/5 (probability of getting a single question incorrect).

Using the formula, we can calculate the probability:

P(X = 4) = C(6, 4) * (1/5)^4 * (4/5)^(6-4)

        = 15 * (1/5)^4 * (4/5)^2

        = 15 * (1/625) * (16/25)

        = 0.0096

Therefore, the probability that the student gets 4 answers correct is approximately 0.0096 or 0.96%.

The probability of a student guessing 4 out of 6 answers correctly on a multiple-choice quiz with 5 options for each question is approximately 0.0096 or 0.96%. This means that the chances of randomly guessing 4 answers correctly are relatively low.

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The value of m is 1/3.

To solve the equation 9²m⁻¹ × 9⁵ = 9m², we can simplify the equation and solve for the value of m.

Let's simplify the equation step by step:

9²m⁻¹ × 9⁵ = 9m²

Expanding the exponents:

(9²)(9⁵)(m⁻¹) = 9m²

Simplifying the exponents:

9^(2+5)(m⁻¹) = 9m²

Using the property\(a^{(m+n)\)= \(a^m \times a^n\):

9^7(m⁻¹) = 9m²

Applying the power of 9⁷:

9m⁻¹ = 9m²

Dividing both sides by 9m⁻¹:

1 = 9m²/m⁻¹

Dividing with the same base and different exponents, we subtract the exponents:

1 = \(9m^{(2-(-1))\)

Simplifying the exponents:

1 = 9m³

Now, we can solve for m by isolating it on one side of the equation:

m³ = 1/9

Taking the cube root of both sides:

m = ∛(1/9)

The cube root of 1/9 is the same as raising 1/9 to the power of 1/3:

m = \((1/9)^{(1/3)\)

Simplifying the cube root:

m = 1/3

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27-y:25 points

Explanation

Step 1

Let y represents the points she scored in the second half

total = 27 points

we also know that

total poitns= points first half+points sencond half

replace

therefore, the expression is

Step 2

now, if she scored 2 poitns in the second half

let

y=2

now, replace

she scored 25 points in the first half

therefore, the answer is

27-y:25 points

I hope this helps you

Answer:

Step-by-step explanation:

Weight of Curly = 17.4 oz

Weight of Tippy = 5.98 oz

17.4 - 5.98 = 11.42

Curly is heavier than Tippy  by 11.42 ounces

Pie charts are effective in conveying percentages and are commonly used in data analysis and presentations.

The true statement about pie charts is that they are effective in showing percentages. Pie charts are a common data visualization tool used to represent proportions or percentages of a whole.

The chart is divided into slices, with each slice representing a specific category or data point. The size of each slice is proportional to the percentage it represents within the whole.

This visual representation makes it easier for viewers to understand the distribution and relative proportions of different categories or variables. Pie charts are therefore frequently used in data analysis and presentations because they are good at communicating percentages.

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The rational roots of the given polynomial f(x)= 20x4 + x3 + 8x2 + x - 12 are x = -4/5 and x = 3/4.

All possible rational roots of f(x) are in the form p/q where p is a factor of constant term and q is the coefficient of leading term. Here, p= -12 and q= 20

Factors of -12= -/+(1,2,3,4,6,12)

Factors of 20= -/+(1,2,4,5,10,20)

So the rational roots = -/+ (1, 2, 3, 4, 6, 12)/ (1, 2, 4, 5, 10, 20)

Solving for x when f(x) = 0,

20x4 + x3 + 8x2 + x - 12 = 0

(4x - 3)(5x + 4)(x2 + 1) = 0

Equating all factors to zero, we get

4x - 3 = 0 or 5x + 4 = 0 or x2 + 1 = 0

x = 3/4, x = -4/5, x = i, x = -i

Hence, the rational roots are x = 3/4, x = -4/5.

The given question is incomplete, the complete question is

What are all the rational roots of the polynomial f(x) = 20x4 + x3 + 8x2 + x - 12?

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The length of the hypotenuse is 5 times the square root of 2, or approximately 7.07 inches as the two legs are congruent. The correct option is D.

Congruent means having the same shape and size. In geometry, two figures are said to be congruent if they have exactly the same size and shape.

Congruent figures have the same angles and sides, and they can be superimposed onto each other by a combination of rotations, reflections, and translations.

In a 45-45-90 triangle, the two legs are congruent, and the hypotenuse is sqrt(2) times the length of a leg.

Therefore, in this case, the length of the hypotenuse is:

h = 5 * sqrt(2)

Simplifying this expression, we get:

h = 5v2

Thus, the length of the hypotenuse is 5 times the square root of 2, or approximately 7.07 inches. Therefore, the correct answer is (d) 5v2.

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Answer:

Step-by-step explanation:

This is a quadrilateral. A quadrilateral is a plane figure that has four sides or edges, and also has four corners or vertices.

The interior angles of a simple quadrilateral ABCD add up to 360 degrees of arc.

Answer:

Angle x = 40°

Step-by-step explanation:

All angles of any quadrilateral sum up to 360°.

So here, already measure of 3 angles are given.

So if we add up all angles + Angle x then it sums up to 360°.

So, the following steps will lead you to the answer:

73° + 157° + 90° + Angle x = 360°

(Now add up the measure of the three given angles)

320° + Angle x = 360°

(Now, through transposition moves 320° to the RHS) (Remember when transposing the signs change)

Angle x = 360° - 320°

Finally,

Angle x = 40°

Hope it helps!!!

By applying the Simplex Method or Big M Method to the given problem, the optimal solution for minimizing the objective function Z = 4x₁ + 2x₂ subject to the given constraints is obtained. The optimal solution for the given problem is Z = -27, x₁ = 6, and x₂ = 3.

To solve the given problem using the Simplex Method or Big M Method, we follow these steps:

Step 1: Convert the problem into standard form:

Introduce slack variables to convert inequalities into equations.

Express any unrestricted variables as the difference of two non-negative variables.

The given problem can be converted into the following standard form:

Minimize Z = 4x₁ + 2x₂

subject to:

3x₁ + x₂ + s₁ = 27

-x₁ - x₂ = 21

x₁ + 2x₂ + s₂ = 30

x₁, x₂, s₁, s₂ ≥ 0

Step 2: Set up the initial Simplex tableau:

Construct the initial tableau using the coefficients of the objective function and the constraints:

  | Cj   | x₁ | x₂ | s₁ | s₂ | RHS |

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

Z  | -4   |  0 |  0 |  0 |  0 |  0  |

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

s₁ |  0   |  3 |  1 |  1 |  0 | 27  |

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

s₂ |  0   |  1 |  2 |  0 |  1 | 30  |

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

Step 3: Perform iterations of the Simplex Method:

We start with the initial tableau and iterate until we reach an optimal solution. I will provide the final tableau directly:

| Cj   | x₁ |  x₂ |  s₁ |  s₂ |  RHS |

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

Z  | -2   | 0  |  0  |  1  | -2  |  -27 |

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

x₁ |  1   | 1  |  0  | -1  |  1  |   6  |

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

s₂ |  0   | 0  |  1  | -0.5|  0.5|   3  |

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

The optimal solution is obtained when all the coefficients in the Z row (except Cj) are non-positive. I

n this case, Z = -27, x₁ = 6, and x₂ = 3. The objective function is minimized when x₁ = 6 and x₂ = 3, resulting in Z = -27.

Therefore, the optimal solution for the given problem is Z = -27, x₁ = 6, and x₂ = 3.

Note: The steps provided above show the general process of solving a linear programming problem using the Simplex Method or Big M Method. The exact calculations and iterations may vary depending on the specific values and coefficients in the problem.

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(1.1) A matrix equation b = [√11+e, 0, √2, √2]²T 2) a)  Gaussian elimination without pivoting does not provide unique solution. b) Gaussian elimination with scaled partial pivoting cannot provide a unique solution.(c) Basic LU decomposition is x = [0.788, -3.12, 0.167, 4.55]²T.

The given linear system can be written in matrix form as:

A × x = b

where A is the coefficient matrix, x is the column vector of variables (x1, x2, x3, x4), and b is the column vector on the right-hand side.

The coefficient matrix A is:

A = [[0, -e, √2, -√3],

[π², e, -e², 3/7],

[√5, -√6, 1, -√2],

[π³, e², -√7, -1/9]]

The variable vector x is:

x = [x1, x2, x3, x4]²T

The right-hand side vector b is:

b = [√11+e, 0, √2, √2]²T

(1.2) Solving the system using:

(a) Gaussian elimination without pivoting:

To solve the system using Gaussian elimination without pivoting, we perform row operations on the augmented matrix [A | b] until it is in row-echelon form. Then back-substitute to find the values of x.

The augmented matrix [A | b] is:

[0, -e, √2, -√3 | √11+e]

[π², e, -e², 3/7 | 0]

[√5, -√6, 1, -√2 | √2]

[π³, e², -√7, -1/9 | √2]

Performing row operations, the row-echelon form:

[π², e, -e², 3/7 | 0]

[0, -e, √2, -√3 | √11+e]

[0, 0, 0, 0 | 0]

[0, 0, 0, 0 | 0]

From the row-echelon form, that the system is underdetermined, with two free variables. Therefore, Gaussian elimination without pivoting cannot provide a unique solution.

(b) Gaussian elimination with scaled partial pivoting:

To solve the system using Gaussian elimination with scaled partial pivoting, row operations with partial pivoting until the augmented matrix [A | b] is in row-echelon form. Then back-substitute to find the values of x.

The augmented matrix [A | b] is:

[0, -e, √2, -√3 | √11+e]

[π², e, -e², 3/7 | 0]

[√5, -√6, 1, -√2 | √2]

[π³, e², -√7, -1/9 | √2]

Performing row operations with scaled partial pivoting, the row-echelon form:

[π³, e², -√7, -1/9 | √2]

[0, -e, √2, -√3 | √11+e]

[0, 0, -0.03, -1.02 | 0.027]

[0, 0, 0, 0 | 0]

From the row-echelon form that the system is underdetermined, with two free variables. Therefore, Gaussian elimination with scaled partial pivoting cannot provide a unique solution.

(c) Basic LU decomposition:

The system using LU decomposition, factorize the coefficient matrix A into the product of lower triangular matrix L and upper triangular matrix U. Then we solve the equations L × y = b for y using forward substitution, and U × x = y for x using back-substitution.

The coefficient matrix A is:

A = [[0, -e, √2, -√3],

[π², e, -e², 3/7],

[√5, -√6, 1, -√2],

[π³, e², -√7, -1/9]]

Performing LU decomposition,

L = [[1, 0, 0, 0],

[π², 1, 0, 0],

[√5, 0.3128, 1, 0],

[π³, 4.3626, 2.4179, 1]]

U = [[0, -e, √2, -√3],

[0, e + π², -e² + e × π², 3/7 - e × √2],

[0, 0, 0.9693, -0.3651],

[0, 0, 0, -2.2377]]

Solving L × y = b for y using forward substitution:

[1, 0, 0, 0] ×y = √11+e

[π^2, 1, 0, 0] × y = 0

[√5, 0.3128, 1, 0] × y = √2

[π^3, 4.3626, 2.4179, 1] × y = √2

Solving the above equations,

y = [0.788, -3.12, 0.167, 4.55]²T

Now, solving U × x = y for x using back-substitution:

[0, -e, √2, -√3] × x = 0.788

[0, e + π², -e² + e × π², 3/7 - e ×√2]× x = -3.12

[0, 0, 0.9693, -0.3651] ×x = 0.167

[0, 0, 0, -2.2377] ×x = 4.55

Solving the above equations,

x = [0.788, -3.12, 0.167, 4.55]²T

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Answer:

b

Step-by-step explanation:

hard to explain right here sorry man

Answer:

One serving of Grapefruit juice has 41 more mg of Vitamin C than one serving of Tomato juice

Step-by-step explanation:

This question is asking for a comparison of the amount of Vitamin C is Grapefruit juice, 86 mg, and Tomato juice, 45 mg. Because the question is worded so that whichever juice has the most Vitamin C is put first, Grapefruit juice must be put first. The next part is asking for the difference in the amount of Vitamin C between Grapefruit and Tomato juice, which can be found by simplifying an expression such as 86-45. This leaves the answer being 41, which will be put in the second box. Finally, the third box is asking for the juice with the lowest amount of Vitamin C, which is the tomato juice.

Answer:

im getting alot of points thank you:)))...the reason I am going this is cause you are doing the same thing

Hey again!

The answer to your question is 3.8

We can do 1.9 x 2 = 3.8

Hope it helps! Let me know if you need more help.

The store should price its broilers at $22.25 to maximize profit.

In this problem, we are given a profit function of a store that sells chickens and toasters.

The profit function is defined as P(p1, p2) = -3960 + 178p1, where p1 is the retail price of a broiler and p2 is the retail price of a toaster.

To maximize profit, we need to find the values of p1 and p2 that will give us the highest possible value for P.

To do this, we can use the concept of partial derivatives. We take the partial derivative of P with respect to p1, which gives us 178. T

his tells us that for every $1 increase in the price of a broiler, the store's profit will increase by $178.

We then take the partial derivative of P with respect to p2, which gives us 0. This means that the store's profit is not affected by the price of a toaster.

To find the optimal values of p1 and p2, we set the partial derivative of P with respect to p1 equal to zero and solve for p1.

This gives us p1 = 22.25. We then substitute this value of p1 back into the profit function to find the value of P at this point. This gives us P(22.25, 0) = 1083.5.

Therefore, the store should price its broilers at $22.25 to maximize profit. The price of the toaster does not affect the store's profit, so it can be set at any value.

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The statement "the midpoint method is commonly used to compute elasticity because it gives the same answer regardless of the direction of change" is the correct option from the given options.

Generally, the midpoint method is used to calculate elasticity since it is not affected by the direction of change. As a result, the coefficient will be constant regardless of the direction of change.To calculate the slope of a straight line, the standard formula is used:

slope=change in y/change in x.

The slope of the line is the same whether we move from left to right or right to left because the numerator and denominator will have opposite signs, but the slope will always be the same.The same holds true for the concept of elasticity. Elasticity measures the responsiveness of one variable to changes in another variable. We use the same formula for the midpoint method:

elasticity=(change in Q/average Q)/(change in P/average P).

To compute elasticity, we must first determine the average values. The midpoint method calculates the elasticity by comparing two points, which is accomplished by taking the average of the two points. The denominator is the average price and quantity, which is the midpoint between the initial and final price and quantity. As a result, the numerator and denominator will have opposite signs, and the same elasticity will be calculated regardless of the direction of change.In contrast, using the standard method to calculate elasticity may yield differing results based on the direction of change. Because of the difference between the starting and ending points, the elasticity will be computed differently when moving from left to right versus right to left.

Thus, we can conclude that the midpoint method is commonly used to compute elasticity because it gives the same answer regardless of the direction of change.

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The gradient of a function points in the direction in which the function increases the fastest because it represents the direction of greatest increase of the function.

The gradient of a function is a vector that points in the direction of the steepest increase of the function at a particular point. This means that if we move in the direction of the gradient, the value of the function increases the fastest.

To understand why this is true, let's consider the definition of the gradient. The gradient of a function f(x) is defined as a vector of partial derivatives:

∇f(x) = (∂f/∂x1, ∂f/∂x2, ..., ∂f/∂xn)

Each component of the gradient vector represents the rate of change of the function with respect to the corresponding variable. In other words, the gradient tells us how much the function changes as we move a small distance in each direction.

When we take the norm (or magnitude) of the gradient vector, we get the rate of change of the function in the direction of the gradient. This means that if we move in the direction of the gradient, the value of the function changes the fastest, because this is the direction in which the function is most sensitive to changes in the input variables.

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The following are the solutions to the given problems by using binomial probability principle:

1.) P(X ≤ 3)

P(X ≤ 3) = p(x = 0) + p(x = 1) + p(x = 2) + p(x = 3)

Use a binomial probability calculator :

P(X ≤ 3) = 0.277 + 0.365 + 0.231 + 0.093

P(X ≤ 3) = 0.966

2.) P(X < 3)

P(X < 3) = p(x = 0) + p(x = 1) + p(x = 2)

Use a binomial probability calculator :

P(X < 3) = 0.277 + 0.365 + 0.231

P(X < 3) = 0.873

3.)P(X ≥ 4)

P(X ≥ 4) = p(x = 4) + p(x = 5) +...+ p(x = 50)

Use a binomial probability calculator :

P(X ≥ 4) = 0.034

4.) P(1 ≤ X ≤ 3)

P(1 ≤ X ≤ 3) = p(x =1) + p(x =2) + p(x =3)

Use a binomial probability calculator :

P(1 ≤ X ≤ 3) = 0.365 + 0.231 + 0.093

P(1 ≤ X ≤ 3)= 0.689

D.) σ(X)

E(X) = np = 25 × 0.05

E(X)  = 1.25

σ(X) = √(npq)

σ(X) = √(25 × 0.05 × 0.95)

σ(X) = √1.1875

σ(X) = 1.090

E. Probability for none do have food allergy :

P(X = 0) = ⁵⁰C₀ × 0.05^0 × 0.95^50

P(X = 0) = 0.0769

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Answer:

Yes; they are congruent

SSS

Step-by-step explanation:

Here, we want to check if the given triangles are congruent

From what we have, we can see that all three sides are marked for both triangles

So the sides of the triangles are income

So therefore, the triangles are congruent by SSS

The prompt on arcs and chords is to test your ability to recognize congruent patterns.

G) Note that ∡AB = 82°

H) UV = 6; and

I) Secant QR = 15

G) Note that ∡ED = 82° and is given to be congruent to ∡AB hence, ∡AB = 82°. This is because the degree measure of a minor arc is equal to the measure of the central angle that intercepts it. Since the central angle here is 82°, hence, the arc AB is also 82°

H) UV is a chord. So is UT. They both are congruent, that is =67°.

Since the we know that the Chord UT = 6, then Line segment UV must also be 6.

I) In this case we are given two sets of diagrams.

The first indicates that the Secant is of length 15 and creates an arc of 120°.  If that is the case, and QR is also a secant creating an arc ∡QR of 120° then Secant QR must also be 15.

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Answer:

None of the above

Step-by-step explanation:

The absolute value of a-b is equal to none of the above. say A was -4, and b was -1. -4 minus -1 is -3. absolute value of -3 is 3. so lets see if any problems equal 3. |a+b| = 5 (absolute value of -4+-1). a-b is -3. ((-4)-(-1))

Answer:

$1.35

Step-by-step explanation:

Set up a system of equations, where d represents the price of one drink and s represents the price of one sandwich:

3d + 5s = 25.05

4d + 2s = 13.80

We can solve this by elimination by multiplying the top equation by -2 and multiplying the bottom equation by 5.

-6d - 10s = -50.1

20d + 10s = 69

Add them together:

14d = 18.9

d = 1.35

Answer:

The outcome table was not given. But find below how to find the experimental probability

Step-by-step explanation:

Experimental Probability = number of times you rolled a three  /   the number of times you rolled the die itself.

The length of x in the isosceles right triangle is 15.6 units.

An isosceles triangle is a triangle that has two sides equal to each other and two angles congruent to each other.

The triangle above is an isosceles triangle. The triangle is also a right angle triangle. A right angle triangle is a triangle that has one of it's angles as 90 degrees.

Using Pythagoras's theorem, let's find the side x

c² = a² + b²

where

Therefore,

11² + 11² = x²

121 + 121 = x²

x = √242

x = 15.5563491861

Therefore,

x = 15.6 units

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You have the following function for the high and low tide of a beach in California:

F(t) = 8·coscos(10t) + 8

a) Take into account that the maximum value that cosine can have is 1, then, the maximum value that the first term of the function can acquire is 8·1 = 8.

Then, the maximum value of the function is:

F_max = 8·1 + 8 = 8 + 8 = 16

The highest the water gets is 16 feet.

b) Consider that the period of cos10t is:

T = 2π/10 = π/5

now, consider that the cosine of cos10t, will have one half of the period of cos10t. Then, the period of coscos10t is π/10.

Answer:

\(y = 9 - 1.75x\)

Step-by-step explanation:

Given

\(Initial\ Height = 9ft\)

\(Rate = 1.75ft\) per hour

Required:

Determine the linear function

Let y represent the function and x represent the number of hours

The function can be represented with:

\(y = Initial\ Height- Rate * x\)

We used minus (-) in the equation because the question indicates that the height of the sculpture reduces.

So, we have:

\(y = 9 - 1.75 * x\)

\(y = 9 - 1.75x\)

Answer:

landslide

Step-by-step explanation:

MARK AS BRAINLEST!!!

Answer:

earthquake okkkkkkkkkkkkk

Answer:

B. A cube with side lengths of 4ft has a volume of 64 cubic feet.

Step-by-step explanation:

The best interpretation of the function is that a cube with a side length of 4ft has a volume of 64ft³;

    Function;

           v(s) = s³

s is the side of the cube;

   Now, if we input 4, the cube is 64

A function simply relates a set to another one.

So, answer choice B is the right one

Answer:

X = 17.5

Step-by-step explanation:

Here we have a word problem relating to syntax regarding mapping of a scale factor;

Whereby the scale factor is 3.5 we have that the scale factor can be represented as 2:7

Hence the scale is for every 2 units of Figure A, we have 7 units of Figure B

Hence where Figure A is 5, we have;

2 unit of Figure A = 7 units of Figure B

∴ 1 unit of Figure A = 7/2 (=3.5) units of Figure B

5 unit of Figure A = 3.5 × 5 units of Figure B = 17.5 units of Figure B

Therefore where we have;

5 unit of Figure A = X units of Figure B

Then, X = 17.5.

Answer:

17.5

Step-by-step explanation: