Alex, Sara and Henry share £112 in a ratio 3:3:2. How much money does each person get?

If the company hires an expert at a cost of $75,000 to perform tests to predict the presence of oil in the field, the Expected Monetary Value (EMV) is $1,002,500.

To calculate the EMV if the company hires the expert, we need to consider the different scenarios and their probabilities.

Scenario 1: The test predicts oil on the field (with a probability of 0.55).

In this case, the probability of actually finding oil is 0.85.

The value if oil is found is $3,650,000.

Scenario 2: The test does not predict oil on the field (with a probability of 0.45).

In this case, the probability of actually finding oil is 0.2.

The value if oil is found is $3,650,000.

Using these probabilities and values, we can calculate the EMV:

EMV = (Probability of Scenario 1 * Value of Scenario 1) + (Probability of Scenario 2 * Value of Scenario 2) - Cost of Expert

EMV = (0.55 * 0.85 * $3,650,000) + (0.45 * 0.2 * $3,650,000) - $75,000

EMV = $1,002,500

Therefore, if the company hires the expert at a cost of $75,000, the EMV is $1,002,500. This indicates that hiring the expert is a favorable decision based on the expected monetary value.

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Firstly we will analyze the question statement to determine the best possible answer.

So, the statement tells us about a person named Natalie,, the owner of an App designed for teenagers. Currently, the New Mindfulness app has One thousand two hundred and sixty-two downloads. Natalie sets a target to take her App downloads to double every month.

We are expected here to provide her with the best possible exponential equation to make her achieve the set goal.

We can use two variables for our exponential equation:

y for the number of downloads.

And x for the months.

We can use any value (Whole numbers, decimals, or fractions) in our exponential equation.

Now while keeping in mind all the necessary details, we can make the exponential equation as below:

Y= 1262 (2 x b) ^ x

Where Y are the downloads

X= 1 month or 30 days

By putting the values:

Y=1262 (2) ^ 1 month

Y=2524 after one month

So, the total number of downloads will double using the above exponential equation.

The pictures below show a relationship between the number of downloads Y and the month X.

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Answer: 1262(2)^x

Step-by-step explanation:

Answer:

compound event and independent event

Step-by-step explanation:

The missing term in the provided quadratic equation is 10x if the roots of a quadratic equation are 5 ± 3i.

It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have the roots of a quadratic equation:

5 ± 3i

To find the quadratic equation:

(x - (5+3i))(x - (5-3i))

\(\rm =x^2+x\left(-\left(5-3i\right)\right)-\left(5+3i\right)x-\left(5+3i\right)\left(-\left(5-3i\right)\right)\)

= x² -10x + 34

The missing value is 10x

The quadratic equation is:

= x² -10x + 34

Thus, the missing term in the provided quadratic equation is 10x if the roots of a quadratic equation are 5 ± 3i.

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Answer:

The answer is B.

Step-by-step explanation:

Answer: Pressure and Volume have an inverse and Temperature and Moles have an inverse relationship

Step-by-step explanation:

There is an inverse relationship between the following variables that define the properties of a gas:

1. Pressure (P) and Volume (V): According to Boyle's Law, when the temperature (T) is held constant, the product of pressure and volume remains constant for a given amount of gas. Mathematically, PV = constant. As one variable increases, the other decreases, indicating an inverse relationship.

2. Temperature (T) and Volume (V) in certain cases: In the case of Charles's Law, when the pressure is constant, the volume is directly proportional to temperature. However, if we consider a constant product of temperature and volume (TV = constant), and the pressure increases, then we observe an inverse relationship between temperature and volume.

Remember, these inverse relationships occur while keeping other variables constant. This is a multiple response question as both relationships mentioned above display an inverse relationship between different variables that define the properties of a gas.

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Answer:

1000

Step-by-step explanation:

l=PRT/100

I=5000*4*5/100

I=1000

Answer:

We are given that when two variables with same base are multiplied then the exponents will be add. We have to find that given statement is true or false. There are two variable with same base x therefore, the power will be added. Hence, the statement is true.  Step-by-step explanation:

hope this helps god bless u and have a good day and give me brainliest if u want bye ;D

Answer:

True

Step-by-step explanation:

If two events, event A with probability P(A) and event b with probability P(B) are complementary events then the sum of the probability of events A and B will be one.

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

When one event happens if and only if the other one doesn't, two occurrences are said to be complimentary. The odds of two complementary events equal one.

P(A) + P'(A) = 1

The chance of events A and B added together will equal one if events A with probability P(A) and event B with probability P(B) are complementary occurrences.

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Answer:

126

Step-by-step explanation:

The three major chords built on white notes without accidentals are:

1. C major chord (C, E, G)

2. F major chord (F, A, C)

3. G major chord (G, B, D)

These chords are formed by taking the root note, skipping one white note, and adding the next white note on top. For example, in the C major chord, the notes C, E, and G are played together to create a harmonious sound.

Similarly, the F major chord is formed by playing F, A, and C, and the G major chord is formed by playing G, B, and D. These three major chords are commonly used in various musical compositions and are fundamental building blocks in music theory.

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The area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

Area of regular polygon = 1/2 × apothem × perimeter

perimeter = (s)side length of octagon × (n)number of side.

apothem = s/[2tan(180/n)].

11 = s/[2tan(180/12)]

s = 11 × 2tan15

s = 5.8949

perimeter = 5.8949 × 12 = 70.7388

Area of dodecagon = 1/2 × 11 × 70.7388

Area of dodecagon = 389.0634 in²

Area of pentagon = 1/2 × 5.23 × 7.6

Area of pentagon = 19.874 in²

Therefore, the area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

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Answer:

The answer would be 0.27

Think of 27 per-cent as cents in money

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

2x2=4 4x2=8 8x2=16 16x12=192

Answer:

(2 , 5)

Step-by-step explanation:

point (x,y) that divides the segment   PI in the ratio 2 to 1

PD=4 - (-2) = 6     PE/ED=2/1     PE=2ED      PE+ED=6    3ED=6    ED=2   PE=4

coordinate of E (2,1)   .... 2 is x coordinate of E

DI=7-1=6    DF/FI=2/1     DF=4

coordinate of F (4,5)   .... .... 5 is y coordinate of E

CF // PD            PC/CI=DF/FI=2/1

C (2,5)

  Coordinates of the point intersecting segment PT in the ratio of 2 : 1 will be (2, 5).

   Given in the question,

   If the endpoints of a segment PQ have been given as\(P(x_1,y_1)\) and \(Q(x_2,y_2)\) and a point \((h,k)\) divides this segment in the ratio of m : n,

\(h=\frac{mx_2+nx_1}{m+n}\)

\(k=\frac{my_2+ny_1}{m+n}\)

    If the extreme ends of a segment PT are \(P(-2,1)\) and \(T(4,7)\) and a point (h, k) divides this segment in ratio of 2 : 1,

\(h=\frac{2(4)+1(-2)}{2+1}\)

\(h=2\)

\(k=\frac{2(7)+1(1)}{2+1}\)

\(k=5\)

   Therefore, coordinates of the point intersecting segment PT in the ratio of 2 : 1 will be (2, 5).

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Answer:

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line

Step-by-step explanation:

Remeber what a slope is :-)

Answer:

\(\frac{2y^5}{x^6}\)

you have chosen the correct answer

Answer: the rectangle is 23 x 41

Step-by-step explanation:

x = length

2x - 5 =  width

A = length x width = (x)(2x-5) = 943

2\(x^{2}\) - 5x - 943 = 0

use quadratic equation to solve for x:

a = 2, b = -5, c = -943

roots are 23, -20.5

x = 23 (length)

2x - 5 = 2(23) - 5 = 46 - 5 = 41 (width)

Let's simplify the expression step by step: Expand the squared term:

(x - 3y)² = (x - 3y)(x - 3y) = x² - 6xy + 9y²

Expand the second term:

3(x + y)(x − 4y) = 3(x² - 4xy + xy - 4y²) = 3(x² - 3xy - 4y²)

Expand the third term:

x(3x + 4y + 3) = 3x² + 4xy + 3x

Now, let's combine all the expanded terms:

(x - 3y)² + 3(x + y)(x − 4y) + x(3x + 4y + 3)

= x² - 6xy + 9y² + 3(x² - 3xy - 4y²) + 3x² + 4xy + 3x

Combining like terms:

= x² + 3x² + 3x² - 6xy - 3xy + 4xy + 9y² - 4y² + 3x

= 7x² - 5xy + 5y² + 3x

The simplified form of the expression is 7x² - 5xy + 5y² + 3x.

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Step-by-step explanation:

(3j - 5k^3) ( 3j + 5k^3)  =  9j^2 - 25k^6

Answer:

50ºF

Step-by-step explanation:

(10°C × 9/5) + 32 = 50°F

Step-by-step explanation:

Using the formula V = Pe^(rt), we have:

P = $741

r = 0.058 (since the interest rate is 5.8%)

t = 13

So, V = 741e^(0.05813) = $1613.87 (rounded to the nearest cent)

Therefore, the amount of money in the account after 13 years is $1613.87.

Answer:

Step-by-step explanation:

The algebraic expression for the total weight of x bags of fertilizer when each bag weighs 50 pounds is:

50x

In this expression, 50 represents the weight of each bag of fertilizer, and x represents the number of bags. When we multiply the weight of each bag by the number of bags, we get the total weight of all the bags of fertilizer.

Answer:

so C is the correct answer have a great day!

Step-by-step explanation:

The equation of the line that passes through the points (-8, 9) and (2, -6) is y = (-3 / 2)x - 3.Given two points (-8, 9) and (2, -6). We are supposed to find the equation of the line that passes through these two points.

We can find the equation of a line that passes through two given points, using the slope-intercept form of the equation of a line. The slope-intercept form of the equation of a line is given by, y = mx + b,Where m is the slope of the line and b is the y-intercept.To find the slope of the line passing through the given points, we can use the slope formula: m = (y2 - y1) / (x2 - x1).Here, x1 = -8, y1 = 9, x2 = 2 and y2 = -6.

Hence, we can substitute these values to find the slope.m = (-6 - 9) / (2 - (-8))m = (-6 - 9) / (2 + 8)m = -15 / 10m = -3 / 2Hence, the slope of the line passing through the points (-8, 9) and (2, -6) is -3 / 2.

Now, using the point-slope form of the equation of a line, we can find the equation of the line that passes through the point (-8, 9) and has a slope of -3 / 2.

The point-slope form of the equation of a line is given by,y - y1 = m(x - x1)Here, x1 = -8, y1 = 9 and m = -3 / 2.

Hence, we can substitute these values to find the equation of the line.y - 9 = (-3 / 2)(x - (-8))y - 9 = (-3 / 2)(x + 8)y - 9 = (-3 / 2)x - 12y = (-3 / 2)x - 12 + 9y = (-3 / 2)x - 3.

Therefore, the equation of the line that passes through the points (-8, 9) and (2, -6) is y = (-3 / 2)x - 3. Thus, the answer is (-3/2)x - 3.

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Based on the given information, the tank will be empty after 10 hours of continuous drainage at a rate of 2 gallons per hour.

The tank initially contains 20 gallons of water, and it drains at a constant rate of 2 gallons per hour. To find out how long it takes for the tank to be empty, we can divide the initial amount of water by the drainage rate:

Time = Initial amount of water / Drainage rate

Time = 20 gallons / 2 gallons per hour

Time = 10 hours

Based on the given information, the tank will be empty after 10 hours of continuous drainage at a rate of 2 gallons per hour. This means that every hour, 2 gallons of water will be drained from the tank until it is completely empty.

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Answer:15

Step-by-step explanation: using the formula c=a^2+b^2 square rooted, you can basically use the reverse Pythagorean theorem

To find dy/dx when x = 3, we need to use the chain rule. The derivative dy/dx evaluates to cos(f(x2)) * f'(x2) * 2x, where f'(x) represents the derivative of the function f with respect to x.

Let's break down the problem step by step. We start with the function y = sin(f(x2)), where f is a differentiable function. To find dy/dx, we need to apply the chain rule. According to the chain rule, if we have a composite function, say g(h(x)), then the derivative with respect to x is given by g'(h(x)) * h'(x).

In our case, we have y = sin(f(x2)), where h(x) = f(x2) and g(x) = sin(x). Applying the chain rule, we find that dy/dx = cos(f(x2)) * f'(x2) * 2x.

To evaluate dy/dx at x = 3, we substitute x = 3 into the expression. Thus, dy/dx when x = 3 becomes cos(f(32)) * f'(32) * 2(3). Since the function f and its derivative f' are not explicitly given, we cannot determine their exact values or simplify the expression further without additional information.

In summary, to find dy/dx when x = 3 for the function y = sin(f(x2)), we apply the chain rule. The derivative evaluates to cos(f(x2)) * f'(x2) * 2x, but without further information about f and f', we cannot calculate the numerical value of dy/dx at x = 3.

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Answer:

7474747448548

Step-by-step explanation:

I hope this helps