A bag contains 5 white marbles, 3 yellow marbles, and 2 black marbles. If you pull out a marble without replacing it, what is the probability of choosing a yellow and then black marble?

Answer:

F. Hyperbola opening up/down

Step-by-step explanation:

Remember that you conic parent graph for a hyperbola up/down is:

\(\frac{(y-k)^2}{a^2} -\frac{(x-h)^2}{b^2} =1\)

Alternatively, you could use a graphing calc to graph the equation and figure out the conic type.

Answer:

Hyperbola opening up and down.

Step-by-step explanation:

Hyperbola opening up and down.

We determine  which way it opens as follows:

x is negative so we set x+1 = 0 .

That makes the term in y-2/3^2  = 1 , so when x = 0  y is positive so it opens upwards.

Answer:

x = 7

Step-by-step explanation:

Let's solve the problem,

→ 4x - 2x + x - 6 = 15

→ 3x - 6 = 15

→ 3x = 15 + 6

→ x = 21/3

→ [ x = 7 ]

Thus, the value of x is 7.

Euler's method is used to approximate the solution to the initial value problem y' = (y² + y), y(6) = 2 at specific points. With a step size of h = 0.2, the table below provides the approximate values of y at x = 6.2, 6.4, 6.6, and 6.8.

Given the initial value problem y' = (y² + y) with y(6) = 2, we can apply Euler's method to approximate the solution at different points. Euler's method uses the formula:

y(i+1) = y(i) + h * f(x(i), y(i)),

where y(i) is the approximate value of y at x(i), h is the step size, and f(x(i), y(i)) is the derivative of y with respect to x evaluated at x(i), y(i).

Let's compute the approximate values using Euler's method with a step size of h = 0.2:

Starting with x = 6 and y = 2, we can fill in the table as follows:

|   x   |   y   |

|-------|-------|

|  6.0  |  2.0  |

|  6.2  |   -   |

|  6.4  |   -   |

|  6.6  |   -   |

|  6.8  |   -   |

To find the values at x = 6.2, 6.4, 6.6, and 6.8, we need to calculate the value of y using the formula mentioned earlier.

For x = 6.2:

f(x, y) = y² + y = 2² + 2 = 6

y(6.2) = 2 + 0.2 * 6 = 3.2

Continuing the calculations for x = 6.4, 6.6, and 6.8:

For x = 6.4:

f(x, y) = y² + y = 3.2² + 3.2 = 11.84

y(6.4) = 3.2 + 0.2 * 11.84 = 5.368

For x = 6.6:

f(x, y) = y² + y = 5.368² + 5.368 = 35.646224

y(6.6) = 5.368 + 0.2 * 35.646224 = 12.797245

For x = 6.8:

f(x, y) = y² + y = 12.797245² + 12.797245 = 165.684111

y(6.8) = 12.797245 + 0.2 * 165.684111 = 45.534318

The completed table is as follows:

|   x   |    y   |

|-------|--------|

|  6.0  |   2.0  |

|  6.2  |   3.2  |

|  6.4  |  5.368 |

|  6.6  | 12.797 |

|  6.8  | 45.534 |

Therefore, using Euler's method with a step size of h = 0.2, we have approximated the solution to the initial value problem at x = 6.2, 6.4, 6.6, and 6.8.

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Answer: 16

Step-by-step explanation:

\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

Value of x is :

\( \large \boxed{ \mathfrak{Explanation}}\)

\(\huge{\mathfrak{Kaul}}\)

Answer:

$74,860.50

Step-by-step explanation:

Wages per hour = $28.42

Allowance per hour = $9.97

8.30am to 4.00pm = 7.5 hours

Per day income (24 hours) = 7.5 * $28.42 + 7.5 * $9.97

= $213.15 + $74.775

= $287.925

Weekly income (Monday - Friday) = 5 days * $287.925

= $1,439.625

There are 52 weeks in a year

Yearly income = 52 weeks * $1,439.625

= $74,860.50

His yearly income = $74,860.50

The answer is  True, the percentile rank identifies the percentile of a particular value within a set of data.

The percentile rank is a measure that identifies the percentage of scores in a distribution that are equal to or lower than a given score. It is calculated by dividing the number of scores that are equal to or lower than the given score by the total number of scores in the distribution, and multiplying the result by 100 to obtain a percentage. The percentile rank can be used to compare individual scores to the rest of the distribution, and can provide useful information about the relative standing of a score within a particular group or population. Therefore, it is true that the percentile rank identifies the percentile of a particular value within a set of data.

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Consider the same figure as given above. It is observed that DP/PE = DQ/QF and also in the triangle DEF, the line PQ is parallel to the line EF.

So, ∠P = ∠E and ∠Q = ∠F.

Hence, we can write: DP/DE = DQ/DF= PQ/EF.

The above expression is written as

DP/DE = DQ/DF=BC/EF.

It means that PQ = BC.

Hence, the triangle ABC is congruent to the triangle DPQ.

(i.e) ∆ ABC ≅ ∆ DPQ.

Thus, by using the AAA criterion for similarity of the triangle, we can say that

∠A = ∠D, ∠B = ∠E and ∠C = ∠F.

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The answer is

\(y = - \frac{1}{5} x + \frac{24}{5} \)

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

y - 5x = 1

y = 5x + 1

Comparing with the above formula

The slope / m of the line is 5

Since the is perpendicular to y = 5x + 1 it's slope it's the negative inverse of y = 5x + 1

That's

Slope of the perpendicular line = - 1/5

Equation of the line using point (-1,5) is

\(y - 5 = - \frac{1}{5} (x + 1)\)

\(y - 5 = - \frac{1}{5} x - \frac{1}{5} \)

\(y = - \frac{1}{5} x - \frac{1}{5} + 5\)

We have the final answer as

\(y = - \frac{1}{5} x + \frac{24}{5} \)

Hope this helps you

Answer:

\(\huge\boxed{y=-\dfrac{1}{5}x+\dfrac{24}{5}\to x+5y=24}\)

Step-by-step explanation:

The slope-intercept form of an equation of a line:

\(y=mx+b\)

m - slope

b - y-intercept

Let

\(k:y=m_1x+b_1;\ l:y=m_2x+b_2\)

therefore

\(k||l\iff m_1=m_2\\k\perp l\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\)

We have the equation of a line in the standard form. Convert it to the slope-intercept form:

\(y-5x=1\)      add 5x to both sides

\(y-5x+5x=1+5x\\\\y=5x+1\to m_1=5;\ b_1=1\)

Calculate the slope:

\(m_2=-\dfrac{1}{5}\)

Substitute the value of a slope and the coordinates of the given point (-1, 5) to the equation of a line:

\(y=m_2x+b\)

\(5=\left(-\dfrac{1}{5}\right)(-1)+b\)

\(5=\dfrac{1}{5}+b\)           subtract 1/5 from both sides

\(5-\dfrac{1}{5}=\dfrac{1}{5}-\dfrac{1}{5}+b\)

\(\dfrac{25}{5}-\dfrac{1}{5}=b\\\\\dfrac{24}{5}=b\to b=\dfrac{24}{5}\)

Final answer:

\(y=-\dfrac{1}{5}x+\dfrac{24}{5}\)

convert to the standard form (Ax + By = C):

\(y=-\dfrac{1}{5}x+\dfrac{24}{5}\)       multiply both sides by 5

\(5y=(5)\left(-\dfrac{1}{5}x\right)+(5)\left(\dfrac{24}{5}\right)\)

\(5y=-x+24\)        add x to both sides

\(x+5y=24\)

Answer:

look at the photo...............

The height of the aquarium is h = 18 3/4 yd

The formula for calculating the volume of a rectangular box is expressed as

V = lwh

where

l is the length

w is the width

h is the height

Substitute

350 = 20/3 * 14/5 * h

350 = 280/15h

35 = 28/15h

28h = 35 * 15

28h = 525

h = 525/28

h = 18 3/4 yd

Hence the height of the aquarium is h = 18 3/4 yd

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Answer:

8.90

Step-by-step explanation:

Answer: $8.90

Step-by-step explanation:

Should be 8.90

Answer:

S 75°E

S 55°E

Step-by-step explanation:

Take the law if sines of a triangle:

\( \frac{a}{sinA} = \frac{b}{sinB} = \frac{c}{sinC} \)

Where,

a = 28 miles

B = 25°

b = 12 miles

First solve for A, using the law of sines:

\( \frac{a}{sinA} = \frac{b}{sinB} \)

\( \frac{28}{sinA} = \frac{12}{sin25} \)

Cross multiply:

\( 28 sin25 = 12 sinA \)

\( 11.83 = 12 sinA \)

\( Sin A = \frac{11.83}{12} \)

\( Sin A = 0.986 \)

\(A = sin^-^1(0.986)\)

\( A = 80.44 degrees \)

Since A = 80.44° find A supplement, A`:

A` = 180 - 80.44

A` = 99.56°

If A` + B < 180°, find C.

Thus,

A` + B = 99.56 + 25 = 124.56

We can see that A` + B < 180

Find C:

C = 180 - (80.44+25) = 74.56° ≈ 75°

C` = 180 - (99.56+25) = 55.44° ≈ 55°

Rewrite in bearing form:

S 75°E

S 55°E

The smallest number a such that A + BB is regular for all B > a can be determined by finding the eigenvalues of the matrix A. The value of a will be greater than or equal to the largest eigenvalue of A.

A matrix A is regular if it is non-singular, meaning it has a non-zero determinant. We can consider the expression A + BB as a sum of two matrices. To ensure A + BB is regular for all B > a, we need to find the smallest value of a such that A + BB remains non-singular. One way to check for singularity is by examining the eigenvalues of the matrix A. If the eigenvalues of A are all positive, it means that A is positive definite and A + BB will remain non-singular for all B. In this case, the smallest number a can be taken as zero. However, if A has negative eigenvalues, we need to choose a value of a greater than or equal to the absolute value of the largest eigenvalue of A. This ensures that A + BB remains non-singular for all B > a.

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Answer:

Answer c 1,800

Step-by-step explanation:

The total interest at the rate of 4.5% interest of the amount of $8000 will be $1800 hence option (C) will be correct.

Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific duration of time.

Simple interest has a constant principal amount, as opposed to compound interest, which multiplies the interest from the principal of previous years to calculate the interest of the subsequent year.

Given that

Principle amount (P) = $8000

Rate of interest (R) = 4.5%

Time period (T) = 5 years.

The interest in the T time period has been given by

Total interest = PRT/100

So,

Total interest  = 8000×4.5×5/100  = 1800

So total interest of the given amount will be $1800.

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The amount of money that you would need for gas if the car consumes the given rate of fuel would be =$240.24

The distance that it takes to travel from Kitchener to Calgary would be = 3300km

The amount of liter of fuel that can be used for 1 km = 0.07L

Therefore the amount of fuel in Liters for 3300km = ?

That is,

1 km = 0.07L

3300km = 231L

But 1 liter = $1.04

231L = X

X = 231×1.04

= 240.24

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Answer:

Option C

Kindly award branliest

Step-by-step explanation:

Tn = n(n + 1)

T1 = 1(1 +1) = 1(2) = 2

T2 = 2(2+1) = 2(3) =6

T3 = 3(3 + 1) = 3(4) = 12

T4 = 4(4 + 1) = 4(5) = 20

... It obeys

Answer:

12 ima shoot u

Step-by-step explanation:

Answer:

y = -1/2x + 7

Step-by-step explanation:

3x + 6y = 42.  Put everything except the y term on the right hand side, so subtract 3x from both sides.

6y = -3x + 42.  You want 1y by itself, so divide everything by 6.

y = -1/2x + 7

Answer:

We have the equation:

-3 + sin(-3x) = -7/2

Adding 3 to both sides gives:

sin(-3x) = -1/2

The solutions for sin(x) = -1/2 are x = 7π/6 and x = 11π/6 in the interval [0, 2π).

We need to find the solutions for -3x in the interval [0, π).

For x = 7π/18, we get -3x = -7π/6, which is not in the given interval.

For x = 5π/18, we get -3x = -5π/2, which is not in the given interval.

For x = π/18, we get -3x = -π/2, which is in the given interval.

Therefore, the solution to the equation in the given interval is:

-3x = -π/2

x = π/6

Let's use some identities to help us solve

    \(x = 4 cos(t)\\\frac{x}{4} =cos(t)\\\\y = 5sin(t)\\\frac{y}{5} =sin(t)\)

We know -->  \(sin^2(t)+cos^2(t) = 1\)

So:

   \(\frac{y^2}{5^2} +\frac{x^2}{4^2}=1\\ \frac{x^2}{16} +\frac{y^2}{25} =1\)

Thus the choice is the second choice

An equation is formed of two equal expressions. The correct option is B.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given two of the equations which can be rewritten as shown below,

x = 4 cos(t)

x/4 = cos(t)

Squaring both sides of the equation,

x²/16 = cos²(t)

y = 5 sin(t)

y/5 = sin(t)

Squaring both sides of the equation,

y²/25 = sin(t)

y²/25 = sin²(t)

Adding the two of the given equations we will get,

(x²/16) + (y²/25) = cos²(t) + sin²(t)

(x²/16) + (y²/25) = 1, this is because cos²(x) + sin²(x) = 1

The rectangular form of the parametric equations x=4cos(t)and y=5sin(t) is (x²/16) + (y²/25) = 1.

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The triangles are right triangles, then we can apply Pytagoras´ theorem.

Solution is:

The triangles are similar

From the attached picture, and from parameterization concepts

RS = μ × RQ     0 < μ < 1

From Δ PRQ     sinα = RQ/PR               PQ = h₁ ( hypothenuse in Δ PRQ)

From Δ RST      sinα = RS/ST                ST = h₂ ( hypothenuse in Δ RST)

Then     RQ/h₁   = RS/h₂

or     RQ × h₂  =  RS × h₁      ⇒   h₂ = (RS/RQ) × h₁    ⇒ h₂ = μ × h₁

Then both hypothenuse are proportional, it follows both triangles are similar

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Answer:

The type of number that represents -4/2 is:

Choice B) Integer

Choice C) Rational

Step-by-step explanation:

The number -4/2 is an integer because it represents a whole number (-2) and it is also a rational number because it can be expressed as a fraction of two integers.

-4/2 is an :

Solution:

Before we make any decisions about the type of number -4/2 is, let's simplify it first.

It's the same as -2. Now, let's familiarize ourselves with the sets of numbers out there. Where does -2 fit in?

______________

This set incorporates only positive numbers and zero. So -2 doesn't belong here.

This set incorporates whole numbers and negative numbers. So -2 belongs here.

This set has integers, fractions, and decimals. So -2 does belong here too.

This is a set for numbers that cannot be written in fraction form (a/b, where b ≠ 0). So -2 doesn't belong here.

-4/2 belongs in the integer and rationals set.

Answer:

$500.000

Step-by-step explanation:

Lo que debemos hacer es calcular el porcentaje de devaluación del precio total del automóvil, es decir calcular el 20% de $2.500.000, y eso lo podemos hacer de la siguiente manera:

2500000*0.2 = 500000

Lo que quiere decir que el primer año el automóvil de devaluó en $500.000

Given an AR(1) process with drift X = α + βX_{t-1} + ε_t, where α = 2, β = 0.7, and ε_t ~ N(0, 1).To find the mean of the process, we note that the AR(1) process has a mean of μ = α / (1 - β).

So, the mean is 6.67, the variance is 5.41, the first three ACF are 0.68, 0.326, and 0.161, and the first three PACF are 0.7, -0.131, and 0.003.

So, substituting α = 2 and β = 0.7,

we have:μ = α / (1 - β)

= 2 / (1 - 0.7)

= 6.67

To find the variance, we note that the AR(1) process has a variance of σ^2 = (1 / (1 - β^2)).

So, substituting β = 0.7,

we have:σ^2 = (1 / (1 - β^2))

= (1 / (1 - 0.7^2))

= 5.41

To find the first three autocorrelation functions (ACF) and the first 3 partial autocorrelation functions (PACF), we can use the formulas:ρ(k) = β^kρ(1)and

ϕ(k) = β^k for k ≥ 1 and

ρ(0) = 1andϕ(0) = 1

To find the first three ACF, we can substitute k = 1, k = 2, and k = 3 into the formula:

ρ(k) = β^kρ(1) and use the fact that

ρ(1) = β / (1 - β^2).

So, we have:ρ(1) = β / (1 - β^2)

= 0.68ρ(2) = β^2ρ(1)

= (0.7)^2(0.68) = 0.326ρ(3)

= β^3ρ(1) = (0.7)^3(0.68)

= 0.161

To find the first three PACF, we can use the Durbin-Levinson algorithm: ϕ(1) = β = 0.7

ϕ(2) = (ρ(2) - ϕ(1)ρ(1)) / (1 - ϕ(1)^2)

= (0.326 - 0.7(0.68)) / (1 - 0.7^2) = -0.131

ϕ(3) = (ρ(3) - ϕ(1)ρ(2) - ϕ(2)ρ(1)) / (1 - ϕ(1)^2 - ϕ(2)^2)

= (0.161 - 0.7(0.326) - (-0.131)(0.68)) / (1 - 0.7^2 - (-0.131)^2) = 0.003

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Answer:

1 hour

Step-by-step explanation:

2 ÷2=1 speed divide by distance

Answer:

Mean- 3.41 feet or 3 feet 5 inches

Median- 3.25 feel or 3 feet 3 inches

Standard deviation- 0.8 foot

IQR- 0.45 foot

Step-by-step explanation: THESE ARE THE ANSWERS IF YOU CHANGE FROM INCHES TO FEET. The answer doesn't change same measurement.

Can I pls get brainliest?

There would be no-static change if the length of the jumps is measured in feet instead of inches.

Given that,
The mean is 41 inches, the median is 39 inches, the standard deviation is about 9.6 inches, the IQR is 5.5 inches, how does each statistic change if the length of the jumps is measured in feet instead of inches is to be determined.

The statistic is the study of mathematics that deals with relations between comprehensive data.

For the conversion of the length from inches to feet would not affect the static data but the values of observation will change with respect to the standard of conversion which is for 1 foot = 12 inches or  1 inch = 1 / 12 feet.

Thus, there would be no-static change if the length of the jumps is measured in feet instead of inches.

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