A bag contains 36 red blocks, 48 green blocks, 22 yellow blocks, and 19 purple blocks. You pick one block from the bag at random. Find each theoretical probability.

P( purple or not red )

A statistical tool used to synthesize the results of previous, separate studies is called a(n):Odds-ratio.

We know that, the odds ratio is one that is often calculated with the use of the number of case-patients who were or were  not exposed to a factor (e.g. as a particular cream) and the number of controls that did or did not have the exposure.

Odds ratio is nothing but  is a measure of association between exposure and an outcome.

It calculates the relationship between a variables and the likelihood of an event occurring.

Note that there are different kinds of statistical tool  that are used for research purpose.

Therefore, A statistical tool used to synthesize the results of previous, separate studies is called a(n):Odds-ratio.

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In a family with five girls and the probability of a boy being born is 1/2, the probability of the next child being a boy is still 1/2.

The previous births do not affect the probability of the next birth since each birth is an independent event.

The probability of an event occurring is determined by the ratio of the number of favorable outcomes to the total number of possible outcomes. In this case, the event of interest is the birth of a boy.

Since each birth is an independent event, the probability of having a boy on any given birth is always 1/2, regardless of the previous children born.

In the given scenario, the family already has five girls. This information is not relevant to the probability of the next child being a boy. The gender of the previous children does not affect the probability of the next child being a boy or a girl.

Therefore, the probability of the next child being a boy remains 1/2, as it is for any independent birth event.

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Answer:the area is = the length*the width

2x^2-11x+15= (2x-5)* the width

you have to divide 2x^2 - 11 x + 15 at 2x-5

2x^2-11x+15   |  2x-5

-2x*2+5x                 x-3

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

/       -6x+15

       +6x-15

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

         /   /

the answer is X-3

Step-by-step explanation:

Answer:

1/16

Step-by-step explanation:

Coin toss

probability 1/2×1/2×1/2×1/2 = 1/16

The total length of the border is approximately 37.7 yards when rounded to the nearest tenth of a yard.

To solve the problem, we can use the formula for the circumference of a circle, which is:C = 2πrwhere C represents the circumference, π (pi) represents a constant approximately equal to 3.14, and r represents the radius of the circle.

Since the problem gives us the distance from the edge to the center of the circular region, which is the radius, we can plug in the value for r and solve for C.C = 2πrC = 2(3.14)(6)C = 37.68 yards.Therefore, the total length of the border is approximately 37.7 yards when rounded to the nearest tenth of a yard.

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Answer:

The interval on which the solution is defined depends on the domain of the exponential function. Since e^((1/2)x^2 + ln(2)) is defined for all real numbers, the solution is defined on the interval (-∞, +∞), meaning the solution is valid for all x values.

Step-by-step explanation:

o solve the differential equation dy/dx = xy with the initial condition y(0) = 2, we can separate the variables and integrate both sides.

Starting with the given differential equation:

dy/dx = xy

We can rearrange the equation to isolate the variables:

dy/y = x dx

Now, let's integrate both sides with respect to their respective variables:

∫(dy/y) = ∫x dx

Integrating the left side gives us:

ln|y| = (1/2)x^2 + C1

Where C1 is the constant of integration.

Now, we can exponentiate both sides to eliminate the natural logarithm:

|y| = e^((1/2)x^2 + C1)

Since y can take positive or negative values, we can remove the absolute value sign:

y = ± e^((1/2)x^2 + C1)

Next, we consider the initial condition y(0) = 2. Substituting x = 0 and y = 2 into the solution equation, we get:

2 = ± e^(C1)

Here, we see that e^(C1) is positive since it represents the exponential of a real number. So, the ± sign can be removed, and we have:

2 = e^(C1)

Taking the natural logarithm of both sides:

ln(2) = C1

Now, we can rewrite the general solution with the determined constant:

y = ± e^((1/2)x^2 + ln(2))

If He had 33 coins and then he add up 44, the total number of coins that he has now is 77.

$39.99+238.8+1.75x and  $4.99=1.99x+$40 are the algebraic expressions of given data.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

Given that $39.99 /month, unlimited texting , 120MB data (Overages $1.99 /MB talk is $1.75 /minutes

$39.99+120(1.99)+1.75x

$39.99+238.8+1.75x

$4.99 /month, unlimited texting ,$40 for 80MB data talk is $1.99 /minutes

$4.99+1.99x+$40

Hence, $39.99+238.8+1.75x and  $4.99+1.99x+$40 are the algebaic expressions of given data.

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The high temperature for today using a 3-day moving average is 92 degrees.

To calculate the high temperature for today using a 3-day moving average, we take the average of the temperatures from the past three days, including today.

Given the daily high temperatures in St. Louis for the last week:

92, 92, 93, 95, 95, 86, 95 (yesterday)

To find the 3-day moving average for today's high temperature, we consider the temperatures from yesterday, the day before yesterday, and three days ago.

(95 + 86 + 95) / 3 = 92

Therefore, the high temperature for today, calculated using a 3-day moving average, is approximately 92 degrees Fahrenheit, rounded to one decimal place.

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The ions indicated by the given information are as follows: (i) \(Se^2-\) (selenium ion), (ii) \(Al^3\)+ (aluminum ion), (iii)\(Ni^2\)+ (nickel ion), (iv) \(Ba^2\)+ (barium ion), and (v)\(F^-\)(fluoride ion).

The number of protons and electrons in an atom determines its atomic number and the element it represents. However, ions have a different number of electrons compared to their neutral atoms, resulting in a different charge. The given information provides the number of protons and electrons for each ion, allowing us to identify them:

(i) 34 protons and 36 selectron: An atom with 34 protons corresponds to selenium (Se). Since it has 36 electrons (2 more than the neutral atom), it becomes \(Se^2\)-, an ion with a charge of -2.

(ii) 13 protons and 10 electrons: An atom with 13 protons corresponds to aluminum (Al). Since it has 10 electrons (3 fewer than the neutral atom), it becomes \(Al^3\)+, an ion with a charge of +3.

(iii) 28 protons and 26 electrons: An atom with 28 protons corresponds to nickel (Ni). Since it has 26 electrons (2 fewer than the neutral atom), it becomes\(Ni^2\)+, an ion with a charge of +2.

(iv) 56 protons and 54 electrons: An atom with 56 protons corresponds to barium (Ba). Since it has 54 electrons (2 fewer than the neutral atom), it becomes \(Ba^2\)+, an ion with a charge of +2.

(v) 9 protons and 10 electrons: An atom with 9 protons corresponds to fluorine (F). Since it has 10 electrons (1 more than the neutral atom), it becomes \(F^-\), an ion with a charge of -1.

Therefore, the ions indicated by the given information are \(Se^2-\),\(Al^3\)+, \(Ni^2\)+, \(Ba^2\)+, and\(F^-\).

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Answer:

http://caronnaclassroom.weebly.com/uploads/1/3/3/8/13388109/ghq3rev2.pdf

https://answers.yahoo.com/question/index?qid=20110706230042AAteeQm&guccounter=1&guce_referrer=aHR0cHM6Ly93d3cuZWNvc2lhLm9yZy8&guce_referrer_sig=AQAAAJvbGUt-D5gGUOG6vSm1xUh4u9qQz8Ct-MwUXiripP8WPV-3YTrujFVGDLiQiVfFW0UUL1hBcE-IJ9ssC3Idz2GVPWh09OCjZgs0RHizsOivAh44ecrLsWdIXPIcEVRNqXPiE3q45Es6UqgxFR3IY54UtqpL0RVGV8cF9dDu_2QJ

Step-by-step explanation:

Here! I hope you do well!

Answer:what

Step-by-step explanation:what does this mean

(1) Using the Black/Scholes Option Pricing Model, the value of the call option is $7.70.

(2) The intrinsic value of the call is the difference between the stock price and the strike price of the option. Therefore, it is $4.

(3) The stock price required to break-even is the sum of the strike price and the option premium. Therefore, it is $74.

(4) If volatility were to decrease, the value of the call would decrease.

(5) If the exercise price would increase, the value of the call would decrease.

(6) If the time to maturity were 3-months, the value of the call would decrease.

(7) If the stock price were $62, the value of the call would be zero.

(8) The maximum value that a call option can take is unlimited.

In the Black/Scholes option pricing model, the value of a call option can be calculated using the formula:

C = S*N(d1) - X*e^(-rT)*N(d2)

where S is the stock price, X is the exercise price, r is the risk-free rate, T is the time to maturity, and σ2 is the variance of the stock's return.

Using the given values, we can calculate d1 and d2:

d1 = [ln(S/X) + (r + σ2/2)T]/(σ2T^(1/2))

   = [ln(74/70) + (0.10 + 0.50/2)*0.5]/(0.50*0.5^(1/2))

   = 0.9827

d2 = d1 - σ2T^(1/2) = 0.7327

Using these values, we can calculate the value of the call option:

C = S*N(d1) - X*e^(-rT)*N(d2)

= 74*N(0.9827) - 70*e^(-0.10*0.5)*N(0.7327)

= $7.70

The intrinsic value of the call is the difference between the stock price and the strike price of the option. Therefore, it is $4.

The stock price required to break-even is the sum of the strike price and the option premium. Therefore, it is $74.If volatility were to decrease, the value of the call would decrease. This is because the option's value is directly proportional to the volatility of the stock.

If the exercise price would increase, the value of the call would decrease. This is because the option's value is inversely proportional to the exercise price of the option.

If the time to maturity were 3-months, the value of the call would decrease. This is because the option's value is inversely proportional to the time to maturity of the option.If the stock price were $62, the value of the call would be zero. This is because the intrinsic value of the call is zero when the stock price is less than the strike price.

The maximum value that a call option can take is unlimited. This is because the value of a call option is directly proportional to the stock price. As the stock price increases, the value of the call option also increases.

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Answer:

237.5 or 238

Step-by-step explanation:

95km=10

95km×10=950

950÷4= 237.5cm

approximately 238

The work done in moving the particle from P(0, 1, 2) to Q(12, 3, 4) is 54 units of work.

To determine which vectors are not parallel to v = (1, -2, -3), we can check if their direction ratios are proportional to the direction ratios of v. The direction ratios of a vector (x, y, z) represent the coefficients of the unit vectors i, j, and k, respectively.

The direction ratios of v = (1, -2, -3) are (1, -2, -3).

Let's check the direction ratios of each given vector:

(2, -4, -6) - The direction ratios are (2, -4, -6). These direction ratios are twice the direction ratios of v, so this vector is parallel to v.

(-1, -2, -3) - The direction ratios are (-1, -2, -3), which are the same as the direction ratios of v. Therefore, this vector is parallel to v.

(-1, 2, 3) - The direction ratios are (-1, 2, 3). These direction ratios are not proportional to the direction ratios of v, so this vector is not parallel to v.

(-2, -4, 6) - The direction ratios are (-2, -4, 6). These direction ratios are not proportional to the direction ratios of v, so this vector is not parallel to v.

Therefore, the vectors that are not parallel to v = (1, -2, -3) are (-1, 2, 3) and (-2, -4, 6).

Now, let's find the work done in moving the particle from P(0, 1, 2) to Q(12, 3, 4) using the force vector F = (3, 7, 2).

The work done is given by the dot product of the force vector and the displacement vector between the two points:

W = F · D

where · represents the dot product.

The displacement vector D is given by:

D = Q - P = (12, 3, 4) - (0, 1, 2) = (12, 2, 2)

Now, let's calculate the dot product:

W = F · D = (3, 7, 2) · (12, 2, 2) = 3 * 12 + 7 * 2 + 2 * 2 = 36 + 14 + 4 = 54

Therefore,  54 units of the work done in moving the particle from P(0, 1, 2) to Q(12, 3, 4).

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Answer:

The answer is option D.

Equation of a line is y = mx + c

m = slope

c = intercept on y axis

y-4= -2/3 (x-6)

y = -2/3x + 4 + 4

y = -2/3x + 8

From the above equation

m= -2/3

Since the lines are perpendicular the slope of the line is the negative inverse of the original line.

so m = 3/2

Equation of the line using point (-2 , -2) is

y + 2 = 3/2(x+2)

y = 3/2x + 3 - 2

y = 3/2x + 1

That's the last option

Hope this helps

The linear equation with the given characteristics is given by:

\(y = \frac{3}{2}x + 1\)

It is given by:

y = mx + b.

In which:

When two lines are perpendicular, the multiplication of their slopes is -1, hence:

\(-\frac{2}{3}m = -1\)

\(2m = 3\)

\(m = \frac{3}{2}\)

Then:

\(y = \frac{3}{2}x + b\)

It passes through the point (-2, -2), hence:

\(-2 = \frac{3}{2}(-2) + b\)

\(-3 + b = -2\)

\(b = 1\)

Hence, the equation is:

\(y = \frac{3}{2}x + 1\)

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Answer:

1537pounds

Step-by-step explanation:

Given parameters:

  Weight of baby at birth  = 7.25 pounds

Unknown:

Weight at the end of 8months = ?

Solution:

 From the second sentence;

    Weight at the end of the eighth month = 212 x weight at birth.

Input the parameters and solve;

  Weight at the end of eighth month = 212 x  7.25  = 1537pounds

It is true that the objective function and the restrictions in a linear programming problem must be linear functions of the choice variables.

The method of choosing the best result from a linear function is known as linear programming. Making a few straightforward assumptions is the easiest way to accomplish linear optimization. As the goal function, the linear function is referred to. Real-life relationships can be quite challenging. However, such interactions can be represented using linear programming, which facilitates analysis of such relationships.

When the need of a mathematical model are represented by linear relationships as, the optimal result can also be obtained using a technique known as the linear programming (LP), sometimes known as linear optimization. A particular type of mathematical programming is linear programming.

Formally speaking, linear programming is the method for optimizing a linear objective function under the restrictions of the linear equality and linear inequality. Convex polytopes, a set defined as the total intersection of a finite number of half spaces, each of which is determined by the linear inequality, make up viable region.

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Answer:

Earth's circumference is approximately 4.02×10^7m. (b) Earth's surface area is approximately 5.10×10^14m². (c) Earth's volume is approximately 1.08×10^21m³.

Earth is often approximated as a sphere, with a radius of 6.37×10^6m. Using this information, we can calculate its circumference, surface area, and volume.

Starting with the circumference, we can use the formula C = 2πr, where r is the radius of the sphere. Plugging in the numbers, we get C = 2π(6.37×10^6m) = 4.02×10^7m, which is our first answer.

Moving on to the surface area, we use the formula A = 4πr². Plugging in the numbers, we get A = 4π(6.37×10^6m)² = 5.10×10^14m², which is our second answer.

Finally, we can calculate the volume of Earth using the formula V = (4/3)πr³. Plugging in the numbers, we get V = (4/3)π(6.37×10^6m)³ = 1.08×10^21m³, which is our third answer.

In conclusion, Earth's circumference is approximately 4.02×10^7m, its surface area is approximately 5.10×10^14m², and its volume is approximately 1.08×10^21m³.

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Answer: A (3,10)

Source : i made it up

To find the average value of the function f(x, y) = 8x + 5y over the given triangle, we need to calculate the double integral of f(x, y) over the region and then divide it by the area of the triangle.

The vertices of the triangle are (0, 0), (2, 0), and (0, 7). We can set up the integral as follows:

∬R f(x, y) dA = ∫₀² ∫₀ᵧ (8x + 5y) dy dx

Integrating with respect to y first, the inner integral becomes:

∫₀ᵧ (8x + 5y) dy = 8xy + (5y²/2) |₀ᵧ = 8xᵧ + (5ᵧ²/2)

Now integrating with respect to x, the outer integral becomes:

∫₀² (8xᵧ + (5ᵧ²/2)) dx = (4x²ᵧ + (5ᵧ²x)/2) |₀² = (8ᵧ + 10ᵧ² + 20ᵧ)

To find the area of the triangle, we can use the formula for the area of a triangle: A = (1/2) * base * height.

The base of the triangle is 2 and the height is 7.

A = (1/2) * 2 * 7 = 7

Finally, to find the average value, we divide the double integral by the area of the triangle:

Average value = (8ᵧ + 10ᵧ² + 20ᵧ) / 7

Simplifying this expression gives:

Average value = (8 + 10ᵧ + 20ᵧ) / 7 = (8 + 10(7) + 20(7)) / 7 = 142/7 = 20 2/7

Therefore, the correct answer is not listed among the options provided.

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Step-by-step explanation:

Let there be 15 milk choclates and 10 white choclates, out of the total 25 choclates.

fraction of the box of chocolates that are milk chocolate = 15/25=3/5.

fraction of the box of chocolates are white chocolate =10/25 =2/5

Answer:

25/1 or 5/5

Step-by-step explanation:

The lines which are parallel are none.

The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

where (x₁, y₁) and (x₂, y₂) are the two points that you are trying to find the slope between.

Given;

Coordinates of three lines

a;(1,5) and (-2,-4)

b;(3,2) and (1,-4)

c;(6,1) and (-4,2)

Now, slopes of the lines

a= -4-5/-2-1

=10/3

b=-4-2/1-3

=-3

c=2-1/-4-6

=1/-10

Therefore, by slopes of the line none of them are parallel.

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Answer:

25 degrees

Step-by-step explanation:

arc divided by 2 = angle

50/2=25

The maximum absolute values of the shear and bending moments are

Cy = 1800 lbs

Ay = 4800 lbs

Max absolute BM = 14400 lbs-feet

Given,

Draw the shear and bending moment diagrams for the beam and the indicated loading, and then figure out the highest absolute values of the shear and bending moment.

(a) The shears and bending-moment diagrams,

Ay + Cy = 800 * 9 - 600

Ay + Cy = 6600 lbs

Ay

∑Ma = 0

Cy * 15 + 600 * 9 = 800 * 9²/2

Cy = 1800 lbs

Ay = 4800 lbs

(b) Determine the maximum absolute values of the shear and bending moment,

Map absolute B.M:

Map positive B.M occurs, when SF = 0 is at 'x'

4800 - 800x = 0

     x = 6ft

Positive map = 4800 * 6 = 800 * 6²/2

Max absolute BM = 14400 lbs-feet and it developed at 6ft from support A.

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Answer:

The answer is A.

Step-by-step explanation:

The trapezoidal rule is a numerical integration method that frequently overestimates the real value of a function's definite integral.

The trapezoidal rule is a strategy for approximating the definite integral in calculus. The trapezoidal rule works by computing the area of the region under the graph of the function f(x) that is approximated as a trapezoid. The trapezoidal rule is commonly used to calculate the area under curves. This is achievable if the overall area is divided into smaller trapezoids rather than rectangles. The Trapezoidal Rule integration determines the area by approximating the area under a function's graph as a trapezoid. The midway rule uses rectangular areas to approximate the definite integral, whereas the trapezoidal rule uses trapezoidal approximations to approximate the definite integral. Simpson's approach works by first approximating the original function with piecewise quadratic functions.

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Answer:

explain abit about it

please l don't understand

To solve equations with fractions and variables in the denominator, we need to eliminate it by moving it to the other side. To do this, we multiply both sides of the equation by the term in the denominator. This will cancel out the fraction and leave us with a simpler equation to solve.

For example, suppose we have the equation (3 + x) / x = 2. To get rid of the fraction, we multiply both sides by x. This gives us: x * (3 + x) / x = x * 2. The x in the numerator and denominator cancel out, leaving us with:

3 + x = 2x. Now we can solve for x by subtracting x from both sides: 3 = x

This is the solution of the equation.

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The conclusion that is appropriate at a 5% level of significance is this:C. There are statistically significant differences in the mean time to recurrence of depression symptoms for patients in the three treatment groups. this suggests that there is a treatment effect.

The correct conclusion is that the result obtained from the analysis is statistically significant, so the null hypothesis can be rejected. This also means that there are 1 in 20 chances of obtaining an error.

So, for a study checking the relationship between the mean time to recurrence of depression symptoms, the 5% level of significance would demonstrate a relationship.

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