The time to fly between New York City and Chicago is uniformly distributed with a minimum of 120 minutes and a maximum of 150 minutes. What is the probability that a flight is less than 135 minutes?A. 1.00B. 0.5C. 15 minutesD. 270 minutes

Mrs. Downey is responsible for paying at most $50 of the unauthorized charge for the $1,124 watch.

We have,

The Truth-in-Lending Act is a federal law in the United States that provides certain protections to consumers in credit transactions.

One of the provisions of this act is the limitation of liability for unauthorized charges on a stolen credit card.

According to the Truth-in-Lending Act,

If a credit card is stolen and unauthorized charges are made on it, the cardholder's liability for those charges is limited to a maximum of $50.

This means that even if the thief charged a significant amount, such as $1,124 for a watch, the cardholder is only responsible for paying up to $50 of that unauthorized charge.

So,

The maximum liability for unauthorized charges on a stolen credit card is $50.

Therefore,

Mrs. Downey is responsible for paying at most $50 of the unauthorized charge for the $1,124 watch.

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Answer:

A

Step-by-step explanation:

Is ur answer !!

Okay, here we have this:

Considering the provided figure, we are going to calculate the requested surface area, so we obtain the following:

Then we will use the following formula:

A= πrL + πr^2

Replacing:

A= π(4 m)(10 m) + π(4 m)^2

A= 40π m^2 + 16π m^2

A= 56π m^2

A≈175,9 m^2

Finally we obtain that the surface area of the cone is approximately 175,9 m^2.

Answer:

9 in.

Step-by-step explanation:

a^2 + 5.6^2 = 10.6^2

a^2 + 31.36 = 112.36

Subtract 31.36 from both sides

a^2 = 81

Squart Root both sides

a = 9 inches

Answer:

a = 11.9883 in

Step-by-step explanation:

Sides:

a = 5.6 in

b = 11.9883 in

c = 10.6 in

Angles:

A = 27.8476 °

B = 90 °

C = 62.1524 °

Other:

P = 28.1883 in

s = 14.0942 in

K = 29.68 in2

r = 2.10584 in

R = 5.99416 in

SAS is Side, Angle, Side

Given the size of 2 sides (c and a) and the size of the angle B that is in between those 2 sides, you can calculate the sizes of the remaining 1 side and 2 angles. Use The Law of Cosines to solve the remaining side.

Law of Cosines

If a, b and c are the lengths of the legs of a triangle opposite to the angles A, B and C respectively; then the law of cosines states:

a^2 = c^2 + b^2 - 2bc cos A,   solving for cos A,   cos A = ( b^2 + c^2 - a^2 ) / 2bc

b^2 = a^2 + c^2 - 2ca cos B,   solving for cos B,   cos B = ( c^2 + a^2 - b^2 ) / 2ca

c^2 = b^2 + a^2 - 2ab cos C,   solving for cos C,   cos C = ( a^2 + b^2 - c^2 ) / 2ab

Solving, for example, for an angle, A = cos^-1 [ ( b^2 + c^2 - a^2 ) / 2bc ]

The total amount of money in the purse was approximately 23 ducats. A man finds a purse with an unknown number of ducats in it. After he spends 1/4, 1/5, and 1/6 of the amount, 9 ducats remain. To find the initial amount in the purse, let's represent it as "x".

He spent (1/4)x, (1/5)x, and (1/6)x. The sum of these fractions plus the remaining 9 ducats equals the total amount:

(1/4)x + (1/5)x + (1/6)x + 9 = x

To solve this equation, first find a common denominator for the fractions, which is 60. Rewrite the equation with the common denominator:

(15/60)x + (12/60)x + (10/60)x + 9 = x

Combine the fractions:

(37/60)x + 9 = x

Now, isolate x on one side of the equation:

9 = (23/60)x

To find x, divide both sides by (23/60):

x = 9 / (23/60)

x = 9 * (60/23)

x = 540/23

Since x represents the number of ducats, it should be a whole number. So, we round it to the nearest whole number:

x ≈ 23

Therefore, there were approximately 23 ducats in the purse initially.

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The solution to the system of equations is (-2, -2)

From the question, we have the following parameters that can be used in our computation:

The graph

On the graph, we have two lines that intersect at the point (-2, -2)

The point of intersection represent the solution

This means that the solution to the system of equations is (-2, -2)

Hence, the required solution is (-2, -2)

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Answer:

y=50x+25

The x days would multiply by 50 and adding 25 to 50x to get y.

Answer:

2 sides of equal length meaning the poster is a rectangle

Answer:

A) Sum of angles in the 14-gon = \(2160^{o}\)

B) Sum of angles in the 16-gon = \(2520^{o}\)

Step-by-step explanation:

Convex polygon is one that has the value of its internal angles less than the sum of angles in a triangle. That is each interior angle is less than \(180^{o}\).

Sum of angles in a polygon = (n - 2) x \(180^{o}\)

where n is the value of its number of sides.

So that;

A) 14-gon (which has 14 sides),

Sum of angles in the 14-gon = (14 - 2) x \(180^{o}\)

                                  = 12 x \(180^{o}\)

                                  = \(2160^{o}\)

The sum of the measure of the interior angles of the 14-gon is \(2160^{o}\).

B) 16-gon (which has 16 sides),

Sum of angles in the 16-gon = (16 - 2) x \(180^{o}\)

                                    = 14 x \(180^{o}\)

                                    = \(2520^{o}\)

The sum of the measure of the interior angles of the 16-gon is \(2520^{o}\).

The sum of Peter, Richard, and John's ages is 191.

We know that the ratio of Peter's age to Richard's age is = 5/8 --(i)

The ratio of John's age to Peter's age is = 7/12 --(ii)

Similarly, the ratio of John's age to Richard's age is = (5*7)/(8*12)= 35/96 -(iii)

Using the value of (i),(ii),(iii), we get -

Age of Peter = (5*12)/(8*12) = 60/96

= 60 years of age

Age of John = (7*5)/(12*5) = 35/60

=35 years of age

From the value of (iii), since no one is over 100 years of age, the age of Richard= 96 years of age

Hence the sum of their ages is = 96+35+60

= 191

Therefore, we know that the sum of their ages is 191.

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Marianne's total candle sales for the week rounded to the nearest

cent is $6539.13.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

From the given information, Let Marianne's total sale be $'x'.

Therefore, $376 is 5.75% of 'x'. which can be numerically expressed as,

(5.75/100)×x = 376.

0.0575x = 376.

x = $6539.13

We also know to obtain percentage change we'll diving the net amount change by the original amount and multiply it by 100%.

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Answer:

(1,2)

(2,4)

(3,6)

2p - 3q - 4r + 6r - 2q + p = 0

2p + p - 3q - 2q - 4r + 6r = 0

3q - 5q + 2r = 0

Positive value of a vertically stretches the graph of f when a > 1 or shrinks the graph of f when a < 1. h translates the graph of f to the left when h < 0 or right when h > 0.

Several real-world scenarios use exponential functions, including population increase, compound interest, radioactive decay, and the spread of diseases. For instance, an exponential function may be used to simulate the expansion of a bacterial population, with the rate of increase being proportional to the population size. Similarly, compound interest, which applies the rate of interest to the principal sum across a number of periods, can be represented by an exponential function.

Positive value of a vertically stretches the graph of f when a > 1 or shrinks the graph of f when a < 1. h translates the graph of f to the left when h < 0 or right when h > 0 and k translates the graph of f up when k > 0 and down when k < 0.

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Answer:

15

Step-by-step explanation:

x + 2y

Putting x = 7, y = 4, we have

7 + 2(4)

= 7 + 8

= 15

Hope it helps.

If you have any query, feel free to ask.

Step-by-step explanation:

It's saying x = 7 and y = 4, which means everywhere there is an x, you'll place a 7 and everywhere there is a y, you'll place a 4

x + 2y turns into (7) + 2(4)

Now we can answer the bottom question

2(4) = 8

7 + 8 = 15

so...

If x =7 and y=4, then x+2y= 15

it's 5 days, if you need an explanation feel free

Answer:

5 days

Step-by-step explanation:

for 100 people------------ last for 8 days

for 1 person-----------------last for 8x100=800 days

Therefore, for 160 people----------------last for(800/160)=5 days.

According to the Normal approximation, the probability is approximately 0.9943, while the Binomial distribution yields a slightly lower probability of approximately 0.9927.

To calculate the probability that at least one passenger with a booking will end up without a seat on a particular flight, we need to find P(X > 300), where X is the number of passengers with a booking who turn up.

a) Approximation by Normal:

Since we have a large number of passengers, we can approximate the distribution of X using the Normal distribution. We know that the mean of X is 320 * 0.9 = 288 passengers (90% of the booked capacity), and the standard deviation is sqrt(320 * 0.9 * 0.1) = 4.74 (applying the formula for the standard deviation of a binomial distribution).

To calculate P(X > 300), we need to standardize the value using the Normal distribution:

z = (300 - 288) / 4.74 = 2.53 (rounding to two decimal places)

Using the Normal distribution table or a calculator, we find the probability associated with z = 2.53, which is approximately 0.9943. Therefore, the probability that at least one passenger who has a booking will end up without a seat on this flight, according to the Normal approximation, is approximately 0.9943.

b) Binomial formula:

Using the Binomial distribution, we can calculate P(X > 300) directly. The probability of success (a passenger showing up) is 0.9, and the number of trials (booked passengers) is 320.

P(X > 300) = 1 - P(X ≤ 300)

Using the binomial formula:

P(X > 300) = 1 - [C(320, 0) * (0.9^0) * (0.1^320) + C(320, 1) * (0.9^1) * (0.1^319) + ... + C(320, 300) * (0.9^300) * (0.1^20)]

Calculating this sum of probabilities can be tedious. However, using computational tools or software, we can obtain the result:

P(X > 300) ≈ 0.9927

Therefore, according to the Binomial distribution, the probability that at least one passenger who has a booking will end up without a seat on this flight is approximately 0.9927.

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A country will roughly double its gdp in twelve years if its annual growth rate is 5.8  using the rule of 70.

The rule of 70 is used to determine the time it takes a country to double it growth rate.

To double in 12 years =70/12 = 5.8

Therefore, A country will roughly double its gdp in twenty years if its annual growth rate is 5.8  using the rule of 70.

A measure of the rise in the value of an investment or revenue stream over the course of a year is the annual growth rate, often known as the "simple growth rate" or "average annual growth rate (AAGR)".

The formula for calculating annual growth rate divides the total value of annual growth at the beginning of the year by the total value of that growth at the end of the year.

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The probability of obtaining tails and the number 5 is 1/12

the probability of obtaining an even number is 1/2

P(heads and prime number)  1/4

Since the events are independent, the probability of obtaining tails and the number 5 is:

P(tails and 5) = P(tails) * P(5) = (1/2) * (1/6) = 1/12

The coin toss outcome is irrelevant, so the probability of obtaining an even number is:

P(even number) = 1/2

The probability of obtaining heads and a prime number is:

P(heads and prime number) = P(heads) * P(prime number) = (1/2) * (1/2) = 1/4

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Answer:

29.17 shirts

Step-by-step explanation:

350 dived by 12 will equal to the amounts of t shirts needed to sell

Answer:

Slope = 4

Step-by-step explanation:

y=4x-6

Answer:

The slope is 4

Step-by-step explanation:

Cancel out the -4 so y is alone, divide -16 and 24 by -4. You'll get y=4x-6

The number in front of x is always the slope.

Answer:

Therefore, we conclude that correct answer is: The slope is \(-\frac{3}{2}\) and contains the point \((0, -2)\).

Step-by-step explanation:

From Analytical Geometry we remember that slopes of two lines that are perpendicular to each other observe the following relationship:

\(m_{\perp} = -\frac{1}{m}\) (Eq. 1)

Where:

\(m\) - Slope of the original line, dimensionless.

\(m_{\perp}\) - Slope of the perpendicular line, dimensionless.

At first we must determine the slope of original line by definition of secant line:

\(m = \frac{y_{B}-y_{A}}{x_{B}-x_{A}}\) (Eq. 2)

Where:

\(x_{A}\), \(x_{B}\) - Initial and final independent variables, dimensionless.

\(y_{A}\), \(y_{B}\) - Initial and final dependent variables, dimensionless.

If we know that \(A(x,y) = (-3,-4)\) and \(B(x,y) = (3,0)\), the slope of original line is:

\(m = \frac{0-(-4)}{3-(-3)}\)

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

In addition, the standard form of original line is represented by this formula:

\(y = m\cdot x +b\) (Eq. 3)

Where \(b\) is the y-Intercept of original line, dimensionless.

If we get that \(m = \frac{2}{3}\), \(x =3\), \(y = 0\), then y-Intercept of the line is:

\(b = y-m\cdot x\)

\(b = 0-\left(\frac{2}{3} \right)\cdot (3)\)

\(b = -2\)

From (Eq. 1) we get that slope of perpendicular line is:

\(m_{\perp} = -\frac{1}{\frac{2}{3} }\)

\(m_{\perp} = - \frac{3}{2}\)

The slope of perpendicular line is \(-\frac{3}{2}\).

And we procced to use the equation of perpendicular line in standard form is:

\(y = m_{\perp}\cdot x +b\) (Eq. 4)

If we know that \(m_{\perp} = - \frac{3}{2}\), \(b = -2\) and \(x = 0\), the value of \(y\) is:

\(y = \left(-\frac{3}{2}\right)\cdot (0)-2\)

\(y = -2\)

Therefore, we conclude that correct answer is: The slope is \(-\frac{3}{2}\) and contains the point \((0, -2)\).

Answer:

The slope is Negative three-halves and contains the point (0, −2).

Step-by-step explanation:

Did it on edge 2020

According to the information in the nutritional table, it can be inferred that the amount of milligrams of sodium that we should consume during the rest of the day must be less than 2,175mg,

To calculate the amount of sodium that we can consume during the rest of the day after breakfast, we must subtract the value of sodium consumed to the amount of total sodium that we want to ingest as shown below:

According to the above, it can be inferred that after consuming the cereal bar at breakfast, we should consume an amount less than or equal to 2,175mg of sodium in the other meals of the day (lunch, dinner and snacks).

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Answer:

x = 4 y − 32

I hope it's correct

Answer:

E

Step-by-step explanation:

NO

The probability of getting stuck in traffic on any given day when leaving the city is 70%. When considering two separate days, we can use the multiplication rule of probability to find the probability of getting stuck in traffic on both days.

The multiplication rule of probability states that the probability of two independent events occurring together is the product of their individual probabilities. In this case, the events of getting stuck in traffic on two separate days are independent, meaning that the occurrence of one does not affect the probability of the other.

To find the probability of getting stuck in traffic on both days, we can multiply the probability of getting stuck on the first day (0.7) by the probability of getting stuck on the second day (also 0.7):

P(getting stuck on both days) = P(getting stuck on day 1) x P(getting stuck on day 2)
P(getting stuck on both days) = 0.7 x 0.7
P(getting stuck on both days) = 0.49 or 49%

Therefore, the probability of getting stuck in traffic on both days is 49%. This means that there is a less than 50% chance of getting stuck in traffic on both days, despite the 70% chance of getting stuck on each individual day.

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Answer:

This graph shows a function because no vertical line passes through more than one point on the graph.

Step-by-step explanation:

Answer:

x > - 16

Step-by-step explanation:

41- 3/4 x < 53

Subtract 41 from each side

41-41- 3/4 x < 53-41

-3/4x < 12

Multiply each side by -4/3, remembering to flip the inequality

-4/3 * -3/4x > 12 * -4/3

x > - 16