Does anyone know the answers to these plz

The probability that Melinda will be able to make an integer between 10 and 20 (inclusive) is 1/6.

The probability that Melinda will be able to make an integer between 10 and 20 (inclusive) with the two numbers she rolls can be calculated by determining the number of favorable outcomes and dividing it by the total number of possible outcomes.

To find the number of favorable outcomes, we need to identify the combinations of two numbers that will result in a two-digit number between 10 and 20. We can list these combinations as follows:

11, 12, 13, 14, 15, 16

Notice that we only have six favorable outcomes.

Now, let's determine the total number of possible outcomes when rolling two six-sided dice. Each die has six possible outcomes (1, 2, 3, 4, 5, 6), so the total number of outcomes is 6 multiplied by 6, which equals 36.

To calculate the probability, we divide the number of favorable outcomes (6) by the total number of possible outcomes (36):

Probability = Favorable outcomes / Total outcomes
Probability = 6 / 36
Probability = 1 / 6

Therefore, the probability that Melinda will be able to make an integer between 10 and 20 (inclusive) is 1/6.

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Therefore, the standard deviation of the sampling distribution of the sample proportion is approximately 0.024, rounded to three decimal places.  Therefore, the statement "The sampling distribution is normal or approximately normal" is true.

a) The mean of the sampling distribution of the sample proportion is equal to the population proportion, which is given as 0.07:

μp = p = 0.07

b) The standard deviation of the sampling distribution of the sample proportion is given by the formula:

σp = √[(p*(1-p))/n]

where n is the sample size. Substituting the given values, we get:

σp = √[(0.07*(1-0.07))/200]

≈ 0.024

c) To determine whether the sampling distribution is normal or approximately normal, we need to check two conditions: the sample size and the shape of the population distribution.

The sample size is given as n = 200, which is large enough for the Central Limit Theorem to apply.

The shape of the population distribution is not given, but since the sample size is large, we can assume that the distribution of the sample proportion will be approximately normal by the Central Limit Theorem.

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The values of λ1, λ2, and m, which will give us the eigenvalues of A with their algebraic multiplicities.

It is not feasible to find the answer however we can tell the method to find it out.

Given that the 3×3 matrix A has only two distinct eigenvalues, and we know that the trace of A (tr(A)) is -1 and the determinant of A (det(A)) is 45, we can find the eigenvalues and their algebraic multiplicities.

The trace of a matrix is the sum of its eigenvalues, and the determinant is the product of its eigenvalues. Since A has two distinct eigenvalues, let's denote them as λ1 and λ2.

We know that tr(A) = -1, so we have:

λ1 + λ2 + λ3 = -1 ---(1)

We also know that det(A) = 45, which is the product of the eigenvalues:

λ1 * λ2 * λ3 = 45 ---(2)

Since A has only two distinct eigenvalues, let's assume that λ1 and λ2 are the distinct eigenvalues, and λ3 is repeated with algebraic multiplicity m.

From equation (2), we have:

λ1 * λ2 * λ3 = 45

Since λ3 is repeated m times, we can rewrite this equation as:

λ1 * λ2 * \((λ3^m)\) = 45

Now, let's consider equation (1). Since A has only two distinct eigenvalues, we can write it as:

λ1 + λ2 + m*λ3 = -1

We have two equations:

λ1 * λ2 *\((λ3^m)\)= 45

λ1 + λ2 + m*λ3 = -1

By solving these equations, we can find the values of λ1, λ2, and m, which will give us the eigenvalues of A with their algebraic multiplicities.

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Answer:

Option D

Step-by-step explanation:

Since, \(\frac{x-y}{x+y}=\frac{2}{7}\)

7(x - y) = 2(x + y)

7x - 7y = 2x + 2y

7x - 2x = 2y + 7y

5x = 9y

\(\frac{x}{y}=\frac{9}{5}\)

Since, ΔAED is similar to ΔACB,

Corresponding sides of these triangles will be proportional.

\(\frac{BC}{DE}=\frac{AC}{AE}\)

\(\frac{x}{y}=\frac{8+AE}{AE}\)

\(\frac{9}{5} =\frac{8+AE}{AE}\)

9(AE) = 40 + 5AE

9(AE) - 5(AE) = 40

4(AE) = 40

AE = 10 cm

Therefore, Option D will be the answer.

Answer:

60 Miles over 4 Gallons

Step-by-step explanation:

I had this answer on my test as well, and got the answer correct!

The y intercept means that $8 must be paid to step into the cab.

A linear equation is of the form:

y = mx + b

where y, x are variables, m is the slope of the line and b is the y intercept.

Let y represent the total pay for x miles

Since $8 per ride and $0.35 per mile, hence the equation is:

y = 0.35x + 8

The y intercept means that $8 must be paid to step into the cab.

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Answer:

In 256 ways

Step-by-step explanation:

The number of answer choices will be; 4 * 3 = 12 answer choices

Okay, so per question we have 4 choices

The number of ways we can answer the first question is 4 ways since there are 4 choices

For the second question, 4 ways also

For the third 4 ways

And for the last question, four ways too

So the number of ways to correctly answer the question will be ;

4 * 4 * 4 * 4 = 256 ways

Answer:

x^2+5x+6

Step-by-step explanation:

\(\left(x+2\right)\left(x+3\right)\\\\\mathrm{Apply\:FOIL\:method}:\quad \left(a+b\right)\left(c+d\right)=ac+ad+bc+bd\\\\a=x,\:b=2,\:c=x,\:d=3\\\\=xx+x\times\:3+2x+2\times \:3\\=xx+3x+2x+2\times\:3\\\\\mathrm{Simplify}\:xx+3x+2x+2\times\:3:\\\quad x^2+5x+6\)

On solving the provided question, we can say that - by proportionality,  If x is 10, then y will be 100. \(a:x \alpha y = > b:y=50 = > c:x=8\)

In mathematics, proportional denotes a linear relationship between two numbers or variables. The other amount doubles when the first quantity does. The other lowers as well when one of the variables falls to 1/100th of its prior value. Relationships that consistently have the same ratio are referred to as proportionate. For instance, the average quantity of apples per tree determines how many trees there are in an orchard and how many apples are in a harvest of apples. Each set of data values must be similarly connected to one another by a factor for a relationship to be considered proportional.

y=100 when x=10

\(y/x=10\)

When x grows by 10 times, y also grows by 10 times.

When x is 1, y turns into 10.

Whenever x is 2, y increases by 20.

If x is 10, then y will be 100.

\(a:x \alpha y\\b:y=50\\c:x=8\)

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Answer:  The answer is A.

Step-by-step explanation:

It is so simple Hope u understand

Answer:

Step-by-step explanation:

Sum = -5

Product = 2*(-3) = -6

Factors = -6 , 1   {-6 + 1 = -5  & -6 *1 = -6}

2m² - 5m -3 = 0

2m² - 6m + m -3 = 0

2m(m - 3) + (m -3) = 0

(m -3)(2m + 1) = 0

m - 3 =  0    or 2m + 1 = 0

    m = 3      or 2m = -1

                          m = -1/2

Ans: m = 3 , (-1/2)

Answer: The point (4, 1) is a solution to this system of equations.

Step-by-step explanation:

To determine if (4, 1) is a solution to this system, you must plug it in to both of the equations. It is in the form of (x, y); so x = 4, and y = 1

Equation #1: y = -x + 5

                     1 = -(4) + 5

                     1 = 1      <————— This is part of the solution to this equation.

Equation #2: y = 2x - 7

                      1 = 2(4) - 7

                      1 = 8 - 7

                      1 = 1       <———- This is part of the solution to this equation.

The point (4, 1) is a solution to this system of equations.

Answer:

228+318=556

Step-by-step explanation: in conclusion that's alot of meat

The answer for this problem would have to be $546

Answer:

Step-by-step explanation:

so to solve this you have to be smart.

6yd and 5y^2

s.a=2lw+2wb

yb=86/7 = 42/855

9/6=2 and 2^2=4

therefore leaving us with 87in^2

ez stuff just think

Answer:

200 square yards

Step-by-step explanation:

Surface area for this will be the triangle base area x 2 added to the side areas

Side areas are 11 x 5, 11 x 5, and 11 x 6 = 55 + 55 + 66 = 176 square yards

Triangle area = 1/2 (base)(height)

= 1/2(6)(4)

= 1/2(24)

= 12.

But we have two triangles, so 12 x 2 = 24.

Add the sides to the bases: 24 + 176 = 200 square yards for the surface area.

Answer:

257.8

Step-by-step explanation:

The angle of 4.5 radians is approximately equal to 257.8 degrees.

The formula to convert radians to degrees is written as follows:

degrees = radians x (180/π)

where π (pi) is approximately 3.14159.

To convert 4.5 radians to degrees, we can use the conversion factor 180/π, which is the number of degrees in one radian.

degrees = 4.5 x (180/π)

degrees ≈ 257.87 degrees (rounded to the nearest 10th).

Therefore, the angle of 4.5 radians is approximately equal to 257.8 degrees.

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Answer:

10

Step-by-step explanation:

in the first one, 6 16 8, (6×8)/3=16

in the third one, 9 21 7, (9×7)/3=21

using the same comcept, 5 ? 6, (5×6)/3=10

so, ?=10

Answer:

x^2+3x+3

Step-by-step explanation:

f(x) = 3x - 1

g(x) = x^2 + 4

f(x) + g(x) = 3x-1+ x^2 +4

                 Combine like terms

                   = x^2+3x+3

Answer:

7.2p

Step-by-step explanation:

Calculator

Answer:

The slope of line is -2

Step-by-step explanation:

The optimal point values for x1, x2, λ, and μ (Lagrange multipliers) in the given problem are:

x1 = 1

x2 = 1

λ = -4

μ = 2

To solve the optimization problem using the Lagrange multipliers technique, we first construct the Lagrangian function L(x1, x2, λ) by incorporating the equality constraint:

L(x1, x2, λ) = f(x1, x2) - λ(g(x1, x2))

Where f(x1, x2) is the objective function, g(x1, x2) is the equality constraint, and λ is the Lagrange multiplier.

In this case, the objective function is f(x1, x2) = 2x1^2 - 2x1x2 + 2x2 - 6x1 + 6, and the equality constraint is g(x1, x2) = x1 + x2 - 2.

The Lagrangian function becomes:

L(x1, x2, λ) = 2x1^2 - 2x1x2 + 2x2 - 6x1 + 6 - λ(x1 + x2 - 2)

To find the optimal values, we need to find the critical points by taking partial derivatives of L with respect to x1, x2, and λ and setting them equal to zero. Solving these equations simultaneously, we get:

∂L/∂x1 = 4x1 - 2x2 - 6 - λ = 0

∂L/∂x2 = -2x1 + 2 + λ = 0

∂L/∂λ = -(x1 + x2 - 2) = 0

Solving these equations, we find x1 = 1, x2 = 1, and λ = -4. Substituting these values into the equality constraint, we can solve for μ:

x1 + x2 - 2 = 1 + 1 - 2 = 0

Therefore, μ = 2.

The optimal point values for the variables in the optimization problem are x1 = 1, x2 = 1, λ = -4, and μ = 2. The Lagrange multipliers λ and μ represent the rates of change of the objective function and the equality constraint, respectively, with respect to the variables. They provide insights into the sensitivity of the objective function to changes in the constraints and can indicate the impact of relaxing or tightening the constraints on the optimal solution. In this case, the Lagrange multiplier λ of -4 indicates that a small increase in the equality constraint (x1 + x2 - 2) would result in a decrease in the objective function value. The Lagrange multiplier μ of 2 indicates the shadow price or the marginal cost of satisfying the equality constraint.

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Answer:

Step-by-step explanation:

The number of buses (b) can be found from ...

  60b ≥ 325

  b ≥ 325/60 = 5 5/12

We want the smallest integer number of buses that will satisfy this requirement, so we need 6 buses.

__

The cost for each bus is ...

  ($2.95/mi)(124 mi) = $365.80 . . . per bus

If 6 buses are used, the total cost is ...

  6 × $365.80 = $2194.80 . . . combined cost

__

Tax is 6% of the bill, so is ...

  0.06 · $2194.80 = $131.69 . . . tax on the bill

Then the total bill is ...

  $2194.80 +131.69 = $2326.49 . . . total bill

__

The relation between speed, distance, and time is ...

  speed = distance/time

  speed = 124 mi/(3.25 h) ≈ 38.15 mi/h

The average speed of the buses is about 38.2 miles per hour.

Answer:

Step 1: Box A

Step 2: Box C

Step 3: Box A

Step 4: Box B

Step-by-step explanation:

The decimal division of 18.92 by 11 gives us; 1.72

When dividing decimals,  we first have to convert the divisor to a whole number by moving the decimal point to the right. Thereafter, we now carry the dividend's decimal point up to the exact same number of places to the right and then divide the resultant numbers in the normal way, like in regular long division.

We want to divide 18.92 by 11. Thus, let us apply that rule described above to get;

18.92/11 = 1892/1100

= 1 + (1892 - 1100)/1100

= 1 + (792/1100)

= 1 + 0.72

= 1.72

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Answer:

Its the second one

Step-by-step explanation:

Answer:

are u ok

Step-by-step explanation:

The radius of the cylinder is of 17 inches.

The volume of a cylinder of radius r and height h is given by the equation presented as follows:

V = πr²h.

The parameters for this problem are given as follows:

V = 289π in³, r = 1 in.

Hence the radius of the cylinder is obtained as follows:

r² = 289

\(r = \sqrt{289}\)

r = 17 inches.

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Answer:

Cylinders weigh 3 oz.

Prisms weigh 4 oz.

Step-by-step explanation:

Answer:

Cylinder=3 ounces

Prism=4 ounces

Step-by-step explanation:

First this is a question with 2 variables so we must either use the elimination method or substitution method to solve this.

Elimination method:

Cylinders=y

Prisms=x

We know that

4y+5x=32

1y+8x=35

So now we must get rid of one of the variable

4y+5x=32

1y+8x=35 (times 4)

you would get

4y+5x=32

4y+32x=140

when you delete the y you would get

-27x=-108

x=4

and if we plot this in the equation

y+8(4)=35

y+32=35

y=3

So you get an answer of Prism=x=4 ounces and Cylinder=y=3 ounces

I hope this helped with your question!! :)

Answer:

Step-by-step explanation:

On the graph, the solution to the system of equations is the point of intersection (the point where the lines meet)

So the solution is (-4, 3)