You pick a card at random. What is P(greater than 3)?

Driving a personal car would be the most cost-effective mode of transportation for this commute, with a total daily cost of approximately $4.60 ($3.60 for gas + $1 for travel time).

Based on the given information, the most cost-effective mode of transportation for this commute would be to drive a personal car. Taking public transportation or carpooling may be more environmentally friendly options, but they may not save as much money as driving alone.

Assuming an average speed of 60 miles per hour on the highway, the commute would take approximately 20 minutes each way, or 40 minutes round-trip. This means the total cost of travel time for each workday would be $40 ($60/hour x 2/3 hour).

Using a cost calculator such as GasBuddy, we can estimate that the cost of driving 20 miles per day (round-trip) would be around $3.60 per day, assuming an average fuel efficiency of 25 miles per gallon and a gasoline price of $2.50 per gallon.

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Answer:

x° = 89+ 34 °

= 133is the answer

30 hours of use by the Washington family sprinkler and 35 hours of use by the Bennett family sprinkler.

We can find how long was each sprinkler used by substitution method.

Let W = hours of use by the Washington family

65 - W = hours of use by the Bennett family

According to the question we get

15W + 40(65 -W) = 1850

15W + 2600 - 40W = 1850

-25W = -750

W = 30

Now, put the value of W in 65 - W to calculate the hours used by the Bennett family

65 - W = 65 - 30 = 35

Thus, the amount of time used for sprinklers by the Washington family and the Bennett family is 30 hours and 35 hours, respectively.

--The given question is incomplete, the complete question is

"The Washington family and the Bennett family each used their sprinklers last summer. The water output rate for the Washington family's sprinkler was 15L per hour. The water output rate for the Bennett family's sprinkler was 40L per hour. The families used their sprinklers for a combined total of 65 hours, resulting in a total water output of 1850L. How long was each sprinkler used?"--

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Answer: probability distribution is a function of a discrete variable whose integral over any interval is the probability that the random variable specified by it will lie within that interval.

The distance between points M(6, 16) and Z(-1, 14) is approximately 7.1 units.

We can use the distance formula to find the distance between two points in a coordinate plane. The distance formula is:

d = √((x2 - x1)² + (y2 - y1)²)

where (x1, y1) and (x2, y2) are the coordinates of the two points. Substituting the coordinates of M(6, 16) and Z(-1, 14), we get:

d = √((-1 - 6)² + (14 - 16)²) = √(49 + 4) = √53 ≈ 7.1

Therefore, the distance between points M(6, 16) and Z(-1, 14) is approximately 7.1 units.

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Answer:

There's nothing there I believe you forgot to add a link just add or create another question and i'll see what I can do :)

Step-by-step explanation:

Answer:

(a) The height of the building is 60.06 m

(b) The distance AB is 139.43 m

Step-by-step explanation:

The given parameters are

Given that segment BT = segment AT + 29

By trigonometric ratios, we have;

cos∠ATC = CT/AT

cos∠BTC = CT/BT

Therefore, we have;

cos(40°) = CT/AT.................................(1)

cos(56°) = CT/BT = CT/(AT + 29).....(2)

cos(56°) = CT/(AT + 29)......................(3)

From equation (1)

CT = AT×cos(40°)

From equation (3)

AT×cos(56°) + 29 × cos(56°) = CT

Therefore;

AT×cos(40°) = AT×cos(56°) + 29 × cos(56°)

AT×cos(40°) - AT×cos(56°) =  29 × cos(56°)

AT×(cos(40°) - cos(56°)) =  29 × cos(56°)

AT = 29 × cos(56°)/(cos(40°) - cos(56°)) = 78.4 m

TC = CT = AT×cos(40°) = 78.4×cos(40°) = 60.06 m

The height of the building = 60.06 m

(b) BT = AT + 29 = 78.4 m + 29 m= 107.4 m

AB = AT×sin(∠ATC ) + BT×sin(∠BTC) = 78.4×sin(40°) + 107.4×sin(56°) =  139.43 m

The distance AB =  139.43 m.

True. f(x) is O(\(xn\)).

The Big O notation represents an upper bound on the growth rate of a function. In this case, we have a polynomial function f(x) of degree n, which means it can be written in the form f(x) = \(anxn\) + an−1xn−1 + … + a1x + a0.

For large values of x, the term with the highest degree (i.e., anxn) dominates the other terms, and the function grows at a rate proportional to xn. Therefore, we can say that f(x) is O(xn).

To be more precise, we can use the definition of Big O notation: f(x) is O(g(x)) if there exist constants C and k such that |f(x)| <= C|g(x)| for all x > k. In this case, we can choose C = max{|a0|, |a1|, ..., |an|} and k = 1, and we have:

|f(x)| <= |\(anx^n\)| + |an-1\(x^(n-1)\)| + ... + |a1||x| + |a0|

<= (|an| + |an-1| + ... + |a1| + |a0|)|\(x^n\)|

<= C*|\(x^n\)|

Therefore, f(x) is O(xn).

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Answer:

  7040

Step-by-step explanation:

Since you're referring to a product, we presume you want ...

  (880·800)/10^2 = (880/10)(800/10) = 88·80 = 7040

__

Your calculator can work this problem very nicely.

__

A decimal point is not a multiplication symbol. 880.800/10^2 = 8.80800.

The statement is not true in general. The correct formula relating the second differential equations of y with respect to x and t is:

(d²y)/(dx²) = [(d²y)/(dt²)] / [(d²x)/(dt²)]

This formula is known as the Chain Rule for Second Derivatives, and it relates the rate of change of the slope of a curve with respect to x to the rate of change of the slope of the curve with respect to t. However, it is important to note that this formula only holds under certain conditions, such as when x is a function of t that is invertible and has a continuous derivative.

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Answer:

$17.00

Step-by-step explanation:

10 x 1.70 = $17.00

Answer:

The retail price is $17.00

Step-by-step explanation:

Answer: 6 toys; 11 books

Step-by-step explanation:

Let the number of books bought be represented by b.

Let the toys brought be represented by t.

b + t = 17

11b + 6t = 157

11 × (b + t = 17)

1 × (11b + 6t = 157)

11b + 11t = 187

11b + 6t = 157

Subtract from each other

5t = 30

t = 30/5 = 6

6 toys were bought

Since b + t = 17

b = 17 - 6 = 11

11 books were bought

The number of books and toys did she buy for $157 is 6 toys and 11 books.

Given that,

Based on the above information, the calculation is as follows:

b + t = 17

b = 17 - t

11b + 6t = 157

11(17-t)  +  6t = 157

187 - 11t + 6t = 157

30 = 5t

t = 6

And, b = 17 - 6

= 11

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Bryant Industries uses forecasting to estimate the number of orders that will be placed by their customers. The table below gives the sales figures for the last four months.Month2345Sales92491942004There are different forecasting techniques used by companies like Bryant Industries to predict future sales.

One of the most widely used methods is the time-series method. This method is particularly useful when the demand for a product or service changes over time and when there are no external factors that affect the sales. In this case, we can use a time-series method called the moving average to estimate future sales. The moving average is a time-series method that uses the average of past sales data to estimate future sales. It is particularly useful when there are no external factors that affect the sales. In this case, we can use a 3-month moving average to estimate future sales. The 3-month moving average is calculated as follows: (924 + 919 + 420) / 3 = 754.33. This means that we can expect sales of around 754 units next month. The moving average method is easy to use and is a good way to get a quick estimate of future sales. However, it has some limitations. For example, it does not take into account external factors that may affect sales, such as changes in the economy or in consumer behavior.

In conclusion, Bryant Industries can use the moving average method to estimate future sales. However, they should also consider other factors that may affect sales, such as changes in the economy or in consumer behavior. By doing so, they can make more accurate forecasts and improve their overall performance.

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Answer:

Step-by-step explanation:

The product of a negative two and a positive three is equal to negative six (-6).

Answer:

x=7

Step-by-step explanation:

2x+13=27

First, subtract 13 from both sides

27-13=14

2x= 14

Divide 14 by 2

14/2=7

x=7

Answer:

x=7

Step-by-step explanation:

Simplify the equation into

2x=14

Therefore x=7

The  answer is:Karen would have $1000000 in the second account when she is 23 years old.

In order to calculate at what age Karen would have $1000000 in the second account, we need to calculate the future value of her investment in the first account, and then use that as the present value for the second account.Let us complete the tables given:

First Account PV: $0 FV: $0 Periods: 144 Rate: 5.75% Payment: $500 PMT/yr: 12 CMP/yr: 4Second Account PV: $163474.72 FV: $1000000 Periods: 23 Rate: 7% Payment: $0 PMT/yr: 1 CMP/yr: 1.

In the first account, Karen invested $500 a month for 12 years.

The total number of periods would be 12*4 = 48 (since it is compounded quarterly). The rate of interest per quarter would be (5.75/4)% = 1.4375%.

The PMT/yr is 12 (since she is investing $500 every month). Using these values, we can calculate the future value of her investment in the first account.FV of first account = (500*12)*(((1+(0.014375))^48 - 1)/(0.014375)) = $162975.15

Rounding off to the nearest cent, the future value of her investment in the first account is $162975.15.

This value is then used as the present value for the second account, and we need to find out at what age Karen would have $1000000 in this account. The rate of interest is 7% compounded annually.

The payment is 0 since she does not make any further investments in this account. The number of periods can be found by trial and error using the formula for future value, or by using the NPER function in Excel or a financial calculator.

Plugging in the values into the formula for future value, we get:FV of second account = 162975.15*(1.07^N) = $1000000Solving for N, we get N = 22.93. Rounding off to the nearest year, Karen would have $1000000 in the second account when she is 23 years old.

Therefore, the main answer is:Karen would have $1000000 in the second account when she is 23 years old.

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Answer:

Answer: a) 19 degree

b) 71degree

Step-by-step explanation:

The probability that 2 or more of those vehicles will be trucks is 0.624.

Let X be the number of trucks passing by.

Then X follows a binomial distribution with parameters n = 10, p = 0.20.

Using the binomial probability formula

P(X = k) = (n C k) * p^k * (1-p)^(n-k),

we can calculate the probability that 2 or more of the 10 vehicles are trucks.

P(X ≥ 2) = 1 - P(X < 2) = 1 - P(X = 0) - P(X = 1)

Now, P(X = 0) = (10 C 0) * (0.20)^0 * (0.80)^10 = 0.1074,

P(X = 1) = (10 C 1) * (0.20)^1 * (0.80)^9 = 0.2684

Therefore, P(X ≥ 2) = 1 - P(X = 0) - P(X = 1)= 1 - 0.1074 - 0.2684= 0.624

So, the probability that 2 or more of those vehicles will be trucks is 0.624.

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Answer:

Step-by-step explanation:

1.) C

2.) x - 2y = 6 ⇒ -2x + 4y = -12

-2x+4y = -12

2x+5y = -3

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

 9y = -15

y = -5/3

x = 2y+6 = 8/3

(x,y) = (8/3, -5/3)

The statement is not always true; there are shapes where the area can be greater than the perimeter.

The statement that the perimeter of a shape will always be greater in value than the area of the shape is not universally true for all shapes. It depends on the specific shape in question.

In some cases, the perimeter of a shape can indeed be greater than its area. For example, consider a rectangle with sides of length 3 units and 5 units.

The perimeter of this rectangle is 2(3 + 5) = 16 units, while the area is 3 × 5 = 15 square units.

In this case, the perimeter is greater than the area.

However, there are also shapes where the area can be greater than the perimeter.

For instance, consider a circle with a radius of 1 unit.

The perimeter of this circle, which is the circumference, is 2π(1) = 2π units.

On the other hand, the area of the circle is \(\pi(1)^2 = \pi\) square units. Since π is approximately 3.14, in this case, the area (π) is greater than the perimeter (2π).

Therefore, it is incorrect to make a general statement that the perimeter of a shape will always be greater than the area.

The relationship between the perimeter and area of a shape depends on the specific properties and dimensions of that shape.

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The minimum possible value of the European call option is approximately 2.8752.

Given the parameters S = 52 (current stock price), K = 50 (strike price), r = 24% (annual interest rate), and a time to maturity of 3 months, we can calculate the minimum call option value.

The Black-Scholes formula for European call option pricing is as follows:

C = S * N(d1) - K * e^(-r*T) * N(d2)

Where:

C = Call option price

S = Current stock price

N = Cumulative standard normal distribution function

d1 = (ln(S/K) + (r + σ^2/2) * T) / (σ * sqrt(T))

d2 = d1 - σ * sqrt(T)

K = Strike price

r = Annual interest rate

T = Time to maturity (in years)

e = Euler's number (approximately 2.71828)

σ = Implied volatility of the underlying asset

Using the provided values, we can calculate the minimum call option value as follows:

d1 = (ln(52/50) + (0.24 + 0^2/2) * (3/12)) / (0.24 * sqrt(3/12))

   = (ln(1.04) + 0.12 * 0.25) / (0.24 * 0.1443)

   = (0.0392 + 0.03) / 0.0346

   = 1.7507

d2 = 1.7507 - 0.24 * sqrt(3/12)

   = 1.7507 - 0.24 * 0.1443

   = 1.7507 - 0.0346

   = 1.7161

N(d1) = N(1.7507) ≈ 0.9599 (using standard normal distribution table)

N(d2) = N(1.7161) ≈ 0.9569 (using standard normal distribution table)

C = 52 * 0.9599 - 50 * e^(-0.24 * (3/12)) * 0.9569

 = 49.9152 - 50 * e^(-0.06) * 0.9569

 ≈ 49.9152 - 50 * 0.9408

 ≈ 49.9152 - 47.040

 ≈ 2.8752

Therefore, the minimum possible value of the European call option is approximately 2.8752.

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Answer:

76.92%

Step-by-step explanation:

Green: 5

Orange: 5

Yellow: 3

First: 5 + 5 + 3 = 13

Now we need to find the probablility of picking an orange or green marble.

We need to divide the number of green and orange marbles put together by the total, 13.

10/13 = 76.92%

You have a 76.92% chance of picking either a green or orange marble.

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Answer:i dont remember

Step-by-step explanation:

Answer:

904.32 cm^3

Step-by-step explanation:

The formula for the volume of a sphere is V=4/3πr³. Since r is given, we can plug that in for r. I'm assuming that we are using 3.14 for pi, so when we plug in all the values in the equation we get V = 4/3*3.14*6³, which solves out to 904.32.

Answer:

f(20) = 10

Step-by-step explanation: