probability of an event B in relationship to an event A, is defined as the probability that event B occurs after event A has already occurred. O a. Empirical Ob. Unconditional Oc. Conditional Od. Samp

Answer:

Hollerith tabulating machine

Step-by-step explanation:

The Hollerith tabulating machine was invented by Herman Hollerith in other to assist in the data processing of the United States 1890 election. This machine was used to read and summarize the information stored on punchcards. This machine paved the way for the development of enhanced models which were employed for accounting and some other aspects related to business management.

Answer:

this 10 class level question

Step-by-step explanation:

how do i solve this i am here for points lOl

Rounding this to the nearest cent, the balance after 10 years is $1349.86.
To find the balance after 10 years with continuous compounding, we can use the formula for continuous compound interest:

A = P * e^(rt)

Where:
A is the final amount or balance
P is the principal amount (initial deposit)
e is the mathematical constant approximately equal to 2.71828
r is the annual interest rate (in decimal form)
t is the time in years

In this case, the principal amount is $1000, the annual interest rate is 3% (or 0.03 in decimal form), and the time is 10 years.

Substituting these values into the formula, we have:

A = \($1000 * e^(0.03 * 10)\)

Using a calculator, we can evaluate \(e^(0.03 * 10)\) to be approximately 1.3498588076.

Therefore, the balance after 10 years is:

A = $1000 * 1.3498588076

Evaluating this expression, we find that the balance is approximately $1349.86.

Rounding this to the nearest cent, the balance after 10 years is $1349.86.

Note: Continuous compounding is a theoretical concept and not commonly used in practice. However, it allows us to calculate the maximum possible balance that can be achieved with compound interest.

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As the number of flips increases from 10 to 10000, we can expect the relative frequency of the occurrence of a Head to become more stable and closer to the true probability of 0.2.

The true probability of observing a Head based on this simulation is 0.2, which means that out of 10 flips, we would expect to see 2 Heads on average. However, as the number of flips increases from 10 to 10000, we would expect the relative frequency of the occurrence of a Head to approach the true probability of 0.2.

This is because of the Law of Large Numbers, which states that as the sample size increases, the sample mean will approach the true mean. In the case of coin flipping, the more flips we make, the closer we will get to the expected proportion of Heads.

For example, if we flip the coin 100 times, we might get 30 Heads and 70 Tails, which is a relative frequency of 0.3. However, if we flip the coin 1000 times, we might get 200 Heads and 800 Tails, which is a relative frequency of 0.2. As we continue to increase the number of flips, the relative frequency will approach the true probability of 0.2.

Therefore, as the number of flips increases from 10 to 10000, we can expect the relative frequency of the occurrence of a Head to become more stable and closer to the true probability of 0.2. This is important to keep in mind when conducting any type of statistical analysis based on coin flipping or other random events.

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The cost of one knife will be 5.23 which is calculated by using the given information about knives and spoons.

From the given information in the question we can form two equations:

We will consider the variables representing the cost of spoons and knives as k and f respectively.

now we will build the equations to find out the relation between knives and spoons from the given information.

k = s + 3

As the cost of knives is three times more than spoons we add 3 to the cost of spoons

the other information given is about the sum of 9 spoons and 12 knives

which we will write as:

9s + 12k = 82.80

By substituting the first equation in the second equation we will get an equation containing only one variable which is easier to solve

9s + 12(s + 3) = 82.80

9s + 12s + 36 = 82.80

21s = 82.80 - 36

21s = 46.8

s = 46.8 / 21

s = 2.23

now by substituting the value of s in the first equation

k = s + 3

k= 2.23 + 3

k = 5.23

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You can calculate the balance in Connor's account after 15 years of regular deposits and an additional 5 years of accumulation.

To calculate the balance in Connor's account after 15 years of regular deposits and an additional 5 years of accumulation with 10% interest compounded monthly, we can break down the problem into two parts:

Calculate the accumulated balance after 15 years of regular deposits:

We can use the formula for the future value of a regular deposit:

FV = P * ((1 + r/n)^(nt) - 1) / (r/n)

where:

FV is the future value (accumulated balance)

P is the regular deposit amount

r is the interest rate per period (10% per annum in this case)

n is the number of compounding periods per year (12 for monthly compounding)

t is the number of years

P = $125.00 (regular deposit amount)

r = 10% = 0.10 (interest rate per period)

n = 12 (number of compounding periods per year)

t = 15 (number of years)

Plugging the values into the formula:

FV = $125 * ((1 + 0.10/12)^(12*15) - 1) / (0.10/12)

Calculating the expression on the right-hand side gives us the accumulated balance after 15 years of regular deposits.

Calculate the balance after an additional 5 years of accumulation:

To calculate the balance after 5 years of accumulation with monthly compounding, we can use the compound interest formula:

FV = P * (1 + r/n)^(nt)

where:

FV is the future value (balance after accumulation)

P is the initial principal (accumulated balance after 15 years)

r is the interest rate per period (10% per annum in this case)

n is the number of compounding periods per year (12 for monthly compounding)

t is the number of years

Given the accumulated balance after 15 years from the previous calculation, we can plug in the values:

P = (accumulated balance after 15 years)

r = 10% = 0.10 (interest rate per period)

n = 12 (number of compounding periods per year)

t = 5 (number of years)

Plugging the values into the formula, we can calculate the balance after an additional 5 years of accumulation.

By following these steps, you can calculate the balance in Connor's account after 15 years of regular deposits and an additional 5 years of accumulation.

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Answer:

x = - 44

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

2x - 10y = 18 ( subtract 2x from both sides )

- 10y = - 2x + 18 ( divide through by - 10 )

y = \(\frac{-2}{-10}\) x + \(\frac{18}{-10}\) , that is

y = \(\frac{1}{5}\) x - \(\frac{9}{5}\) ← in slope- intercept form

with slope m = \(\frac{1}{5}\)

given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{\frac{1}{5} }\) = - 5

calculate the slope of the line through the 2 given points and equate to - 5

calculate slope m using slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 3, 6 ) and (x₂, y₂ ) = (7, x )

m = \(\frac{x-6}{7-(-3)}\) = \(\frac{x-6}{7+3}\) = \(\frac{x-6}{10}\)

then equating

\(\frac{x-6}{10}\) = - 5 ( multiply both sides by 10 to clear the fraction )

x - 6 = - 50 ( add 6 to both sides )

x = - 44

To find the absolute maximum and minimum values of the function f(x) = x^4 + 8x^3 - 80x^2 on the interval [-4, 3], we need to evaluate the function at the critical points and endpoints of the interval.

Critical Points:

To find the critical points, we need to find the values of x where the derivative of f(x) is equal to zero or undefined.

Taking the derivative of f(x), we get:

f'(x) = 4x³ + 24x² - 160x

Setting f'(x) equal to zero, we have:

4x³ + 24x² - 160x = 0

Factoring out common terms, we get:

4x(x² + 6x - 40) = 0

Using the zero-product property, we have two critical points:

x = 0 and x² + 6x - 40 = 0

Solving the quadratic equation, we find:

x = -10 or x = 4

Endpoints:

The interval [-4, 3] has two endpoints: x = -4 and x = 3.

Now, we evaluate the function f(x) at the critical points and endpoints to find the absolute maximum and minimum values.

f(-4) = (-4)⁴ + 8(-4)³ - 80(-4)² = 256 - 512 - 1280 = -1536

f(3) = (3)⁴ + 8(3)³ - 80(3)² = 81 + 216 - 720 = -423

f(0) = 0⁴ + 8(0)³ - 80(0)² = 0

Therefore, the absolute maximum value of f(x) on the interval [-4, 3] is -423, and the absolute minimum value is -1536.

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Answer:

a) For Khalil's purchase

4x + 3y = 11.67.....Equation 1

For Ronda's purchase

8x + y = 12.89......Equation 2

b) A can of soup = x = $2.09

Loaf of bread = y = $1.35

Step-by-step explanation:

A grocery store is offering a sale on bread and soup. Khalil buys four cans of soup and three

loaves of bread for $11.67. Ronda buys eight cans of soup and one loaf of bread for $12.89.

Homework Help!

Let us represent:

a can of soup = x

Loaf of bread = y

a. Write equations for both Khalil's and Ronda's purchases.

For Khalil's purchase

= Khalil buys four cans of soup and three loaves of bread for $11.67.

4x + 3y = 11.67.....Equation 1

Ronda buys eight cans of soup and one loaf of bread for $12.89.

8x + y = 12.89......Equation 2

b. Solve the system to find the price of one can of soup and the price of one loaf of bread.

We have:

4x + 3y = 11.67.....Equation 1

8x + y = 12.89......Equation 2

y = 12.89 - 8x

We substitute 12.89 - 8x for y in Equation 1

4x + 3(12.89 - 8x) = 11.67

4x + 38.67 - 24x = 11.67

38.67 - 11.67 = 24x - 4x

27 = 20x

x = 27/20

x = 1.35

y = 12.89 - 8x

y = 12.89 - 8 × 1.35

y = 12.89 - 10.8

y = 2.09

Therefore,

Solving for y

a can of soup = x = $2.09

Loaf of bread = y = $1.35

That is absolute value.

or

Therefore,

1 < a <-7/2

it A

Step-by-step explanation:

Answer:

The answer is 37

Step-by-step explanation:

The answer is 37 because 50 multiplied by 26% is 13 and 50 minus 13 is 37

Answer:

The answer is 37

Step-by-step explanation:

The answer is 37 because 50 multiplied by 26% is 13 and 50 minus 13 is 37

Answer:

Step 1: Lets say 'x' is the total wage. Then we subtract 1/4 from the total wages.

=> 4x/4 - x/4

=> 3x/4 = Remaining Wages Left.

Step 2: Subtract 20% from 3x/4.

3x/4 - x/5 = Remaining Wages Left.                                 [20% = 20x/100 = x/5]

=> 11x/20 = Remaining Wages Left.

Step 3: Subtract 0.15x from his remaining wages left.

=> 11x/20 - 3x/20 = Remaining Wages Left.                     [0.15 = 15/100 = 3/20]

=> 8x/20 = Remaining Wages Left.

Step 4: Simplify

8x/20 = 2x/5 = 0.40x

=> Simon has saved 2x/5 of the wages.

Please give me brainliest :)

Answer:

Step-by-step explanation:

The total is 100% or 1.

Spent:

Left:

Answer: I don't think you would move it

Step-by-step explanation: let me know if I'm wrong

If segment BD is congruent to segment BC, and BD = 4x - 18, BC = x + 3, and AC = 34, then AB = 31/x.

Let the equation be AB + BC = AC

substitute the values in the above equation, we get

AB + x + 3 = 34

simplifying the value of x,

Subtract A B from both sides AB + x + 3 - AB = 34 - A B

x + 3 = 34 - AB

Subtract 3 from both sides,

x + 3 - 3 = 34 - AB - 3

x = -AB + 31

Plug in this value of x into the line segments to find BC and AC.

Where, BC = x + 3

substitute the value of x in the above equation, we get

BC = [-AB + 31 ] + 3

BC = -AB + 34

Then, AB + BC = AC

x = -AB + 31

AB = 31/x

Hence, If segment BD is congruent to segment BC, and BD = 4x - 18,

BC = x + 3, and AC = 34, then AB = 31/x.

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Answer:

D) \(1 < x\leq 4\)

Step-by-step explanation:

1 is not included, but 4 is included, so we can say \(1 < x\leq 4\)

Answer:

Step-by-step explanation:

Answer:

12 groups

Step-by-step explanation:

According to the problem, calculation of the given data are as follows:

Given number = 3

Each group = 1/4 or 0.25

So, we can calculate the number of group in 3 by using following formula,

Number of groups = Given number ÷ Each group

By putting the value, we get

Number of groups = 3 ÷ 0.25

= 12

Hence, there are 12 groups of 1/4 in 3.

The answer to this question is as follows Given that this is a equation contradiction, 4C(-3) = 8 cannot be satisfied for any value of C. As a result, this equation cannot be solved.

A mathematical equation links two statements and utilises the equals sign (=) to indicate equality. In algebra, an equation is a mathematical assertion that proves the equality of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign separates the numbers by a gap. A mathematical formula may be used to determine how the two sentences on either side of a letter relate to one another. The logo and the particular piece of software are usually identical. like, for instance, 2x - 4 = 2.

4C(-3) = 8

The phrase 4C(-3), which calls for multiplying 4 by the value of C when it equals -3, has to be evaluated.

4C(-3) = 4 x C(-3) (-3)

We must now determine what C(-3) is. This requires entering -3 for the C expression:

C(-3)

By understanding that this phrase refers to the value of C when it is equal to -3, we can make it simpler. C(-3) thus equals 3.

When we add this value back into the formula, we obtain:

4C(-3) = 4 x C(-3) = 4 x (-3) = -12

But, because we were informed that 4C(-3) = 8, we have:

8 = -12

Given that this is a contradiction, 4C(-3) = 8 cannot be satisfied for any value of C. As a result, this equation cannot be solved.

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Answer:

x={7,3}

Step-by-step explanation:

x^2-2x+9+12=0

x^2-2x+21=0

(x-7)(x-3)=0

x-7=0

x=7

x-3=0

x=3

so

x={7,4}

Answer:

there is no solution to this problem

you can replace it with whatever number you want

Answer:

63°

Step-by-step explanation:

The line = 180

so 180-117

= 63°

Answer:

The value of a is 63°

Step-by-step explanation:

180-117=63°.

Answer:

y=2/5x+2

slope: 2/5

y=-1/4x+4

y-intercept: 4

Step-by-step explanation

The equation for slope-intercept form is y=mx+b.

m=the slope

b= the y-intercept

The  function g whose graph represents the indicated transformation of the graph of f(x)=x+2; translation 2 units right is g(x) = x

Translation is a technique used to change the position of an image on an xy-plane. Given the function below;

f(x) = x +2

If the expression is translation 2 units to the right, the translation rule will be:

g(x) = f(x )- 2

Substitute

g(x) = x + 2 - 2

g(x) = x

Hence the  function g whose graph represents the indicated transformation of the graph of f(x)=x+2; translation 2 units right is g(x) = x

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Answer:

a) 10, 20, 30, ...
b) 2, 4, 6, ...
c) 10, 20, 30, ...
d) 61, 66, 71, 76, ...
e) 180, 280, 380, ...

i dont know if this is correct but hope it helps

Answer:

66,356in²

Step-by-step explanation:

Area of recatngle = length * width = 313 * 213

313 in x 212 in = 66,356 in2  

The area of the rectangle is 66,356in²

Answer:

$14,700

Step-by-step explanation:

interest rate is $900 per year (12000×.075)

$900 × 3 years = $2,700

add $2,700 to $12,000 (amount borrowed)

total is $14,700

The standard deviation for the total portfolio returns can be calculated using the weighted average of the standard deviations of the index fund and the risk-free asset. The standard deviation for the total portfolio returns is 10.5%.


The standard deviation of a portfolio measures the variability or risk associated with the portfolio's returns. In this case, the portfolio is 70% invested in an index fund (with a standard deviation of returns of 15%) and 30% invested in a risk-free asset.

To calculate the standard deviation of the total portfolio returns, we use the weighted average formula:

Standard deviation of portfolio returns = √[(Weight of index fund * Standard deviation of index fund)^2 + (Weight of risk-free asset * Standard deviation of risk-free asset)^2 + 2 * (Weight of index fund * Weight of risk-free asset * 1Covariance  between index fund and risk-free asset)]

Since the risk-free asset has a standard deviation of zero (as it is risk-free), the second term in the formula becomes zero. Additionally, the covariance between the index fund and the risk-free asset is also zero because they are independent. Therefore, the formula simplifies to:

Standard deviation of portfolio returns = Weight of index fund * Standard deviation of index fund

Plugging in the values, we get:

Standard deviation of portfolio returns = 0.70 * 15% = 10.5%

Hence, the standard deviation for the total portfolio returns is 10.5%. This means that the total portfolio's returns are expected to have a variability or risk represented by this standard deviation.

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Answer:

the answer is 4328

Step-by-step explanation:

may God bless you and your family during spring break

Answer:

domain [-1, ∞)

range [ -3, ∞)

Step-by-step explanation: