Tiffany and Brianna each bought a pair of headphones and some new songs. Tiffany bought 12 songs and spent $44, while Brianna bought 20 songs and spent $50. How much did the headphones and each song cost?

Answer:

Step-by-step explanation:

For us,

P = 728,

r = .044,

e is Euler's number (a constant), and

t is 16. Filling in:

\(V=728e^{(.044)(16)}\) and

\(V=728e^{(.704)}\) and

V = 728(2.02182385) so

V = $1471.89

A person places $728 in an investment account earning an annual rate of 4.4%, compounded continuously. The value of the account in t years is $1471.89.

We have given that,

P = 728,

r = 0.044,

e is Euler's number (a constant), and

t = 16.

The formula of the account in t years is,

\(V = Pe^{rt}\)

Use the given value in the above formula,

V = 728(2.02182385)

Therefore we get,

V = $1471.89

Therefore, the value of the account in t years is $1471.89.

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Answer: 76 in

in the comment i explained it

Answer:

Step-by-step explanation:

Answer:

Graph A is increasing more rapidly, so Dan is correct

As the x-values go to positive infinity, the function's values go to positive infinity. Then the correct option is D.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The graph of the function is given below.

From the graph, we can conclude that the value of the graph is always positive. So, the function will be an exponential function.

From the graph, as the x-values go to positive infinity, the function's values go to positive infinity. Then the correct option is D.

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Answer:

3/45

Step-by-step explanation:

10 jelly beans in the bag

3 red jelly beans

First pick: P of red jelly bean = 3/10

Second pick P of red jelly bean = 2/9

3/10*2/9 simplified = 3/45

Answer:

48.8

Step-by-step explanation:

(a) FIFO (First-In-First-Out): In the FIFO policy, the page that entered the memory first is the first to be replaced when a page fault occurs. In the given string of page references, the frame allocation for FIFO would depend on the order in which the pages were brought into memory.

(b) LRU (Least Recently Used): The LRU policy replaces the page that has not been accessed for the longest period of time. It requires maintaining a history of page accesses to determine the least recently used page. c) Clock (Single Hit Version): The Clock policy uses a circular list of frames and a clock hand that points to the current position in the list. When a page fault occurs, the clock hand advances and checks if the page in the current position has been recently used. If it has not been used, it is replaced. Otherwise, it is marked as not recently used.

(d) Optimal: The optimal policy is an idealized policy that replaces the page that will not be used for the longest duration in the future. It requires knowledge of the entire future sequence of page references, which is not practical in real-world scenarios. The total number of page faults and the miss rate for each policy would depend on the specific sequence of page references and the initial frame allocation. Without the specific sequence provided, it is not possible to calculate the exact numbers of page faults and miss rates for each policy.

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Answer:

  12

Step-by-step explanation:

You want the least common multiple of 3 and 4.

3 and 4 have no common factors, so their least common multiple (LCM) is their product:

  3·4 = 12

The LCM of 3 and 4 is 12.

__

Additional comment

If the numbers have a common factor, then the LCM is their product, divided by the greatest common factor.

For example, 4 and 6 have a common factor of 2. Their LCM is 4·6/2 = 12.

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Answer:

72

Step-by-step explanation:

6x+6x+8x=180 (∠ sum of Δ)

20x=180

x=9

∠ABC=8(9)

         =72

A) If A and B are disjoint the value of P(A ∪ B) is 0.9

B) If A and B are independent the value of P(A∪B) is 7.8

(A) If A and B are disjoint, then the probability of their union is given by the sum of their individual probabilities. This is because disjoint events have no outcomes in common and therefore the probability of both occurring simultaneously is zero.

P(A ∪ B) = P(A) + P(B) = 0.3 + 0.6 = 0.9

(B) If A and B are independent, then the probability of their union is given by the sum of their probabilities minus the probability of their intersection.

This is because the probability of the intersection is the product of their individual probabilities.

P(A ∪ B) = P(A) + P(B) - P(A ∩ B) = 0.3 + 0.6 - (0.3)(0.6) = 0.78

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The BMI of an 118-lb adult who is 5 feet 4 inches tall is approximately 20.25.

BMI stands for Body Mass Index.

It's a measure of body fat based on height and weight that applies to both adult men and women.

BMI is an easy-to-perform screening tool for body fat levels that can help identify individuals who have health risks linked with excess body fatness.

It's important to keep in mind that the BMI measurement should not be used as a diagnostic tool for health conditions and is only one component in an overall evaluation of a person's health status.

Using the formula below, we can calculate the BMI of an 118-lb adult who is 5 feet 4 inches tall: BMI = (weight in pounds / (height in inches x height in inches)) x 703

First, we need to convert the height into inches:5 feet 4 inches = 64 inches

Next, we plug the values into the formula and solve for the BMI:

BMI = (118 / (64 x 64)) x 703BMI = (118 / 4,096) x 703BMI = 0.0288 x 703BMI = 20.2464

Therefore, the BMI of an 118-lb adult who is 5 feet 4 inches tall is approximately 20.25.

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We have the parametric equations:

x = 7t, y = 5t - 1

Differentiating each equation with respect to t, we get:

dx/dt = 7, dy/dt = 5

Using the chain rule, we have:

dy/dx = dy/dt ÷ dx/dt = 5/7

Differentiating dy/dx with respect to x, we get:

d2y/dx2 = d/dx(dy/dx) = d/dx(5/7) = 0

Therefore, the slope of the curve at any point is 5/7, and the curve has zero concavity everywhere. Since the parameter t is not specified, we cannot find the slope and concavity at a specific value.

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so you write 16 but i don't speak English very good i want help you 2(6+3)-2 ok you you going multiplying 2×6=12+6=18-2=16 so 16

Answer:

the error is 7-6.33=0.67

the percentage of error is (0.67/7)×100≈9.5%

a) The value of the variable x is 65.

b) The value of the variable y is 60.

We are given two circles. In the first circle, we need to find the value of x. An arc's angle in the centre is double the angle it has at any other point on the circle. So the value of x is half the angle at the center.

x = 130/2

x = 65

In the second circle, we need to find the value of y. The circle has a cyclic quadrilateral. The opposite angles in a cyclic quadrilateral are supplementary. The sum of the opposite angles is 180°.

y + 2y = 180

3y = 180

y = 60

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Answer:

7,-5

Step-by-step explanation:

Because it’s over right 7 down 5

a)  The equation for the exponential distribution of waiting times is given by \(f(x) = \lambda e^{-\lambda x}\)

b) The probability of waiting less than 2 minutes to check out is 0.427

c) The probability of waiting between 4 and 6 minutes is 0.242

d) The probability of waiting more than 5 minutes to check out is 0.082

a. The equation for the exponential distribution of waiting times is given by:

\(f(x) = \lambda e^{-\lambda x}\)

where λ is the rate parameter of the distribution, and e is the natural logarithmic constant (approximately equal to 2.71828). The graph of the exponential distribution is a decreasing curve that starts at λ and approaches zero as x approaches infinity. The mean waiting time, denoted by E(X), is equal to 1/λ.

b. To find the probability that a customer waits less than 2 minutes to check out, we need to calculate the area under the exponential distribution curve between zero and 2 minutes. This can be expressed mathematically as:

P(X < 2) = \(\int_0^2 \lambda e^{-\lambda x} dx\)

Solving this integral yields:

P(X < 2) = 1 - \(e^{(-2\lambda)}\)

Substituting the given average waiting time of 2.5 minutes into the formula for the mean waiting time, we can calculate λ as:

E(X) = 1/λ

2.5 = 1/λ

λ = 0.4

Therefore, the probability of waiting less than 2 minutes to check out is:

P(X < 2) = 1 - \(e^{-2*0.4}\)

P(X < 2) ≈ 0.427

c. To find the probability of waiting between 2 and 4 minutes, we need to calculate the area under the exponential distribution curve between 2 and 4 minutes. This can be expressed mathematically as:

P(2 < X < 4) =\(\int_2^4 \lambda e^{(-\lambda x)} dx\)

Solving this integral yields:

P(2 < X < 4) = \(e^{(-2\lambda)} - e^{(-4\lambda)}\)

Substituting the value of λ obtained in part (b), we get:

P(2 < X < 4) = \(e^{(-20.4)} - e^{(-40.4)}\)

P(2 < X < 4) ≈ 0.242

d. To find the probability of waiting more than 5 minutes to check out, we need to calculate the area under the exponential distribution curve to the right of 5 minutes. This can be expressed mathematically as:

P(X > 5) = \(\int_5^{ \infty} \lambda e^{(-\lambda x)} dx\)

Solving this integral yields:

P(X > 5) = \(e^{(-5\lambda)}\)

Substituting the value of λ obtained in part (b), we get:

P(X > 5) = \(e^{(-5*0.4)}\)

P(X > 5) ≈ 0.082

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Answer:

There are 6 strawberry candies in the bag

Step-by-step explanation:

The probability of an event occurring = (The number of required outcome) ÷ (The number of possible outcome)

The given parameters in the question are;

The number of different types of fruit in Marina's bag = 3

The type of fruits in the bag = Lemon, watermelon, strawberry

The probability of choosing strawberry, P = 1/5

The number of lemon candies in the bag = 16

The number of watermelon candies in the bag = 8

Let, 'x', represent the number of strawberry candies in the bag

Therefore, by the definition of probability, we have;

P = 1/5 = x/(x + 16 + 8)

x + 16 + 8 = 5·x

16 + 8 = 5·x - x = 4·x

24 = 4·x

∴ x = 24/4 = 6

The number of strawberry candies in the bag, x = 6 strawberry candies.

(a)the body temperature of the 1601 lb man will increase by approximately 3.0 °C.(b)the body temperature of the 160 lb man will increase by approximately 2.4 °C.

The specific heat of a human is given as 3.47 J/°C. Using this information, we can calculate the increase in body temperature when a certain number of calories are converted into heat energy. In the first scenario, a 1601 lb man consumes a candy bar containing 287 Cal. In the second scenario, a 160 lb man consumes a roll of candy containing 41.9 Cal. We will calculate the increase in body temperature for each case.

(a) To calculate the increase in body temperature for a 1601 lb man who consumes a candy bar containing 287 Cal, we need to convert calories to joules. Since 1 Calorie (Cal) is equal to 4184 joules, we have:
Energy = 287 Cal × 4184 J/Cal = 1.2 × \(10^6\) J
Now, using the specific heat formula Q = mcΔT, where Q is the energy, m is the mass, c is the specific heat, and ΔT is the change in temperature, we can rearrange the formula to solve for ΔT:
ΔT = Q / (mc)
Assuming the mass of the man is converted to kilograms, we have:
ΔT = (1.2 × \(10^6\) J) / (1601 lb × 0.4536 kg/lb × 3.47 J/°C) ≈ 3.0 °C
Therefore, the body temperature of the 1601 lb man will increase by approximately 3.0 °C.
(b) For a 160 lb man who consumes a roll of candy containing 41.9 Cal, we repeat the same calculation:
Energy = 41.9 Cal × 4184 J/Cal = 1.75 × \(10^5\) J
ΔT = (1.75 × \(10^5\) J) / (160 lb × 0.4536 kg/lb × 3.47 J/°C) ≈ 2.4 °C
Thus, the body temperature of the 160 lb man will increase by approximately 2.4 °C.

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Answer: USE the forumla

Step-by-step explanation:

Consider a frustum of radii 'R' and 'r', and height 'H' which is formed by a cone of base radius 'R' and height 'H + h'. Its volume (V) can be calculated by using: V = πh/3 [ (R3 - r3) / r ] (OR) V = πH/3 (R2 + Rr + r2)

Answer

25.714 gallons

Step-by-step explanation:

720 divided by 28 = 25.714

Answer:

The balance after 6 years, assuming the deposit of 5000 earns 4% interest compounded yearly, would be 7400. This is calculated by using the formula A=P(1+r/n)^nt, where A is the balance, P is the principal (5000), r is the interest rate (0.04), n is the number of times the interest is compounded per year (1), and t is the number of years (6).

Answer:

\(y = 0.5x + 5\)

Step-by-step explanation:

(Given in the attachment)

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Timex can survey at least 384 consumers to guarantee a margin of error of 0.05 or less at a 99% confidence level.

What is proportion ?

A proportion is a way to express the relationship between two or more quantities or values. It is a statement that asserts that two ratios or fractions are equal, such as "2/5 is equal to 4/10".

To estimate the true proportion p of consumers who believe what is shown in Timex television commercials, Timex can use a sample proportion formula which is:

p = (number of positive responses) / (sample size)

To guarantee a margin of error of 0.05 or less at a 99% confidence level, Timex can use a sample size calculator. The sample size calculator takes into account the margin of error, confidence level, and the proportion of the population that is expected to be positive.

The sample size can be calculated using the formula :

n = (z^2 * p * (1-p)) / E^2

Where z is the z-score for the desired confidence level (z = 2.576 for 99% confidence level), p is the estimated proportion of the population that is expected to be positive (0.5 if the true proportion is unknown), and E is the desired margin of error (0.05).

Timex can survey at least 384 consumers to guarantee a margin of error of 0.05 or less at a 99% confidence level.

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The unit of measurement used is A. Standard deviation is the unit of measurement used to describe how far a set of values are from the mean.

The degree of variation of data from the average, or mean, is gauged by the standard deviation. It provides us with information on the average amount by which each data point diverges from the mean.

A lesser standard deviation suggests that the data points gather closely around the mean, whereas a greater standard deviation signifies that the data points are further dispersed. To standardize a value, we subtract the mean from the value and then divide by the standard deviation.

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Answer:

14 players.

Step-by-step explanation:

The bus is a fixed cost, so the unknown “p” comes after the player meals, as that price isn’t fixed and is per player.

993.5 + 74.25p = 2033

74.25p = 1039.5

p = 14

The length of the diameter is 17.5

A diameter is a line segment that divides a circle into two equal parts.

The diameter is the line of symmetry of the circle and it divides the circle to form semi-circles.

The length of a line segment with end coordinates is calculated using the formula below,

D = \(\sqrt{(x_{2} - x_{1}) ^{2} + (y_{2} -y_{1}) ^{2} }\)

Where, \(x_{2}\) = 6, \(x_{1}\) = -1,  \(y_{2}\) = 21,  \(y_{1}\) = -1

D = \(\sqrt{(6--1)^{2} + (21-5)^{2} }\)

D = \(\sqrt{(7)^{2} + (16)^{2} }\)

D = \(\sqrt{49 + 256}\)

D = \(\sqrt{305}\)

D = 17.5

In conclusion, the diameter of the line segment is 17.5

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Answer:

83/1000

Step-by-step explanation:

Answer:

x=82/99

Step-by-step explanation:

o.828282

since the number is less than one we have the nominator is less than the denominator:

the repeating digit is 82

move the decimal 2 digit to the left,( like multiply by 100)

0.828282*10= 8.282828

100 x = 8.828282

x=0.828282

100x-x=82.82828282-0.82828282

99x =82

x=82/99