You have a choice of two different Internet Service companies: AOL and Yahoo. One of AOL’s plans charges $19.99
for a month and a charge of $2.00 per hour. Yahoo’s similar plan offers service for only $14.99 a month and a charge
of $2.50 per hour. How many hours would you need to use the internet for the charges to be equal? What would the
monthly charge be?

H0: The distribution of lunch preferences is 70% cafeteria, 10% hut, 10% taco wagon, and 10% pizza.

Ha: The distribution of lunch preferences is not 70% cafeteria, 10% hut, 10% taco wagon, and 10% pizza place.

In hypothesis testing, we have a null hypothesis (H0) and an alternative hypothesis (Ha). The null hypothesis represents the claim or assumption we want to test, while the alternative hypothesis represents the opposite or alternative claim.

In this case, the null hypothesis (H0) states that the distribution of lunch preferences is 70% cafeteria, 10% hut, 10% taco wagon, and 10% pizza place. The alternative hypothesis (Ha) states that the distribution of lunch preferences is not 70% cafeteria, 10% hut, 10% taco wagon, and 10% pizza place.

To test these hypotheses, a random sample of 150 students is selected, and their lunch preferences are recorded. The goal is to determine if the observed distribution of lunch preferences in the sample provides enough evidence to reject the null hypothesis in favor of the alternative hypothesis.

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The lengths of the diagonals are:

GE = 8√5 units

DE = 4√5 Units

Area = 80 sq. units

We have been given an image of a kite on coordinate plane.

To find the length of GE we will use distance formula:

Distance = √[x₂ - x₁)² + (y₂ - y₁)²]

Substituting coordinates of point G and E in above formula we will get,  

GE = √[16 - 0)² + (8 - 0)²]

GE = √(256 + 64)

GE = √320

GE = 8√5 units

Similarly we will find the length of diagonal DF using distance formula.

DF = √[14 - 10)² + (2 - 10)²]

DE = √(16 + 64)

DE = √80

DE = 4√5 Units

Area of kite is given by the formula:

Area = (p * q)/2

where p and q are diagonals of kite.

Thus:

Area = ( 8√5 *  4√5)/2

Area = 80 sq. units

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The average daily rate is calculated by dividing the total rooms revenue by the total number of rooms sold. In this case, the average daily rate is (option) $114.63.

The average daily rate is a measure of the average amount of money that a hotel is able to generate per room per day. It is calculated by dividing the total rooms revenue by the total number of rooms sold. In this case, the total rooms' revenue was $75,884 and the total number of rooms sold was 662, which gives us an average daily rate of $114.63. This is a useful measure for hotels to gauge the performance of their business and to set pricing accordingly. It also helps hotels identify opportunities for increasing revenue, such as offering discounts or promotions to attract more customers.

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Answer: 29 with the Remainder of 4

Step-by-step explanation:

Answer:

29 Remainder 4

Step-by-step explanation:

Answer: The answer is 2.04.

Explanation;

63.24/31 is expanded by multiplying both the numerator and denominator by 100.

6324/3100 is then reduced to lowest terms as 51/25. 25 x 2.04 = 51

Answer:

2.04

Step-by-step explanation:

Use a calculator. Put 63.24 ÷ 31 and you get 2.04

Answer:

(2x+10°) + (x°) +(2x-20°) = 540°

540 is the sum angle of the polygon

collect like terms

2x+x+2x+10°-20°=540°

5x-10°=540°

5x=540°+10°

5x=550°

x=550°/5

x=110°

(2(110)+10)+(110)+(2(110)-20)=540°

The statement that proves that angle XWY is equal to angle ZYW is

A. If two parallels are cut by a transverse, then alternate interior angles are congruent

Alternate interior angles are a pair of angles that are formed on opposite sides of a transversal line when two parallel lines are intersected by the transversal.

When a transversal intersects two parallel lines, it creates eight angles. Among these angles, the alternate interior angles are located on the inside of the parallel lines and on opposite sides of the transversal.

In a parallelogram, the two opposite sides are parallel to each other hence the line crossing them will lead to formation of alternate interior angles

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Option (a) 1/50 The average of the 50 samples of x can be calculated as the sum of the values of x divided by the number of samples, which is 50 in this case.

Since x has a mean of 1, we know that the sum of the values of x is 50 times 1, which is 50. The variance of x is 4, which means that the standard deviation of x is 2. This means that the standard error of the mean of x, which is the standard deviation of the sample mean, is 2 divided by the square root of 50, which is approximately 0.283. Therefore, the 95% confidence interval for the mean of the 50 samples of x is [1 - 1.96(0.283), 1 + 1.96(0.283)] = [0.44, 1.56]. Since none of the answer choices fall within this interval, we cannot determine the correct answer without additional information.

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Step-by-step explanation:

2/3  * 150  = 1/2  * ?

   100  =    1/2 * ?       Multiply both sides by 2 to get

    200 = ?

Answer:

i think that is 2 i only guess

we can conclude that if wind speed is 44.14 kilometers per hour, the wind speed in meters per hour is 44,140 meters per hour (m/hr). The conversion factor between kilometers per hour (km/hr) and meters per hour (m/hr) is 1 km/hr = 1000 m/hr.

If wind speed is 44.14 kilometers per hour, the wind speed in meters per hour is 44,140 meters per hour (m/hr).

We know that 1 kilometer (km) is equal to 1000 meters (m).

Therefore, to convert kilometers per hour (km/hr) to meters per hour (m/hr), we need to multiply the kilometers per hour by 1000.So, wind speed in meters per hour (m/hr) = wind speed in kilometers per hour (km/hr) × 1000Wind speed in meters per hour

= 44.14 km/hr × 1000

= 44,140 m/hr

Therefore, if wind speed is 44.14 kilometers per hour, the wind speed in meters per hour is 44,140 meters per hour (m/hr).

:Therefore, we can conclude that if wind speed is 44.14 kilometers per hour, the wind speed in meters per hour is 44,140 meters per hour (m/hr). The conversion factor between kilometers per hour (km/hr) and meters per hour (m/hr) is 1 km/hr = 1000 m/hr.

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The length of the missing side of the right triangle is approximately equal to 6.028.

In this problem we find the case of a right triangle, where one side and an angle are known and we need to determine the measure of other side. This can be done by means of trigonometric functions, whose most common forms are described below:

sin θ = x / r

cos θ = y / r

tan θ = y / x

Where:

If we know that y = 8 and θ = 53°, then the missing length is:

tan 53° = 8 / x

x = 8 / tan 53°

x = 6.028

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Answer:

plant c is the answer to your question

Answer:

C. 8 units.

Step-by-step explanation:

The maximum value of the cosine ( cos) function is 1

So, for y = 3cos(2x - 8) + 5

Maximum value  is 3 *1 + 5 = 8.

y = -3cos(2x - 8) + 5 is the above graph reflected in the y axis so the maximum value is also 8.

Your average waiting time will be approximately 1 minute.

As the first passenger, you will not have to wait for any other passengers to get in the taxi. However, the taxi will wait for 2 passengers to arrive or 3 minutes to pass since your boarding.

Since passengers arrive according to a Poisson process with an average of 60 passengers per hour, the arrival rate lambda can be calculated as:

lambda = average number of passengers per time unit = 60/60 = 1 passenger per minute

The time between two consecutive passenger arrivals follows an exponential distribution with parameter lambda. Thus, the probability of waiting less than t minutes for the second passenger to arrive can be calculated as:

P(wait < t) = 1 - e^(-lambda*t)

We need to find the average waiting time until the second passenger arrives. This can be calculated as the area under the probability distribution curve divided by the arrival rate lambda:

average waiting time = integral from 0 to infinity of t*(1 - e^(-lambda*t)) dt / lambda

Using integration by parts, we can solve this integral to get:

average waiting time = 1/lambda + (1 - e^(-lambda*t))/(lambda^2)

Plugging in the values, we get:

average waiting time = 1/1 + (1 - e^(-1*3))/(1^2) = 1 + (1 - 0.0498) = 1.9502 minutes

Therefore, as the first passenger, your average waiting time until the second passenger arrives is 1.9502 minutes.

To answer your question, let's consider the two possible scenarios:

1. Two passengers are collected: In this case, the first passenger (you) waits for the second passenger to arrive. Since the arrival rate is 60 passengers per hour, the average time between arrivals is 1 minute (60 minutes / 60 passengers).

2. Three minutes have expired: In this case, the taxi departs after 3 minutes even if only one passenger (you) is in the taxi.

On average, the waiting time for the first passenger (you) will be the minimum of these two scenarios. Thus, your average waiting time will be approximately 1 minute.

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Answer: Multiply the centimeters number by 10.

Step-by-step explanation: There are 10 millimeters in every centimeter.

The equation of the line in point slope form is y - 105 = 4 (x - 10) and the equation of the line in slope intercept form is y = 4x + 65.

Slope is defined as the change in the y coordinates of the point divided by the change in x coordinates of the point.

Slope of a line through any two points (x₁, y₁) and (x₂, y₂) is,

m = (y₂ - y₁) / (x₂ - x₁)

We have the points (10, 105), (15, 125), (20, 145), (25, 165) and (30, 185).

Considering the points (10, 105) and (15, 125),

m = (125 - 105) / (15 - 10) = 20/5 = 4

Equation of a line in point slope form is,

y -  y₁ = m (x - x₁)

Substituting m = 4 and a point (10, 105),

y - 105 = 4 (x - 10)

Equation of a line in slope intercept form is,

y = mx + c, where c is the y intercept which is the point where the line intersects the Y axis. The x coordinate at that point will be zero.

Substituting x = 0 in the point slope form,

y - 105 = 4 (0 - 10)

y - 105 = 4 × -10

y = -40 + 105

y = 65, which is the y intercept.

The equation of the line in slope intercept form is,

y = 4x + 65.

Hence the equation of the line in point slope form and slope intercept form are y - 105 = 4 (x - 10) and y = 4x + 65 respectively.

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Answer:

the second table on the bottom

Step-by-step explanation:

To be a function the points have to pass the horizontal line test.

When you plot the graph of a function, then draw a horizontal line across the graph. If the horizontal line touches the graph only once, then the function does have an inverse function.

Answer:

2.5

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Trust me bro. It’s “B.”

Answer:

i think 1h but wait for someone else to answer to

The correct answer claim is false. The counterexample to the claim is n = 3.

To find a counterexample for the claim "For any positive integer n, if n is prime, then \(n^2 + 4\) is also prime," we need to find a prime number n for which \(n^2 + 4\)is not prime.

Let's try with n = 3:

n = 3

\(n^2 + 4 = 3^2 + 4 = 9 + 4 = 13\)

Here, n = 3 is prime, but n^2 + 4 = 13 is not prime since it is divisible by 13 and 1.

Therefore, the counterexample to the claim is n = 3.

To prove or disprove the claim "2n + 1 is prime for all nonnegative integer n," we can provide a counterexample.

Let's try with n = 4:

2n + 1 = 2(4) + 1 = 9

Here, n = 4 is a nonnegative integer, but 2n + 1 = 9 is not prime since it is divisible by 3 and 1.

Therefore, the claim is disproved by the counterexample n = 4.

(a) To show that if n is odd, then n^2 is also odd, we can use proof by contradiction.

Assume that n is odd, but n^2 is even.

If n^2 is even, then n^2 = 2k for some integer k.

Taking the square root of both sides, we have n = √(2k).

Since √(2k) is not an integer, this contradicts the assumption that n is odd.

Therefore, if n is odd, then n^2 is also odd.

(b) To show that if n is odd, then n^4 is also odd, we can use the result from part (a) as a corollary.

Since n^4 = (n^2)^2, and from part (a) we know that if n^2 is odd, then n^4 is also odd.

Therefore, if n is odd, then n^4 is also odd.

(d) To show that if m and n are odd, then mn is odd, we can use proof by contradiction.

Assume that m and n are odd, but mn is even.

If mn is even, then mn = 2k for some integer k.

Since m and n are odd, they can be written as m = 2a + 1 and n = 2b + 1 for some integers a and b.

Substituting these values into mn, we get (2a + 1)(2b + 1) = 2k.

Expanding the expression, we have 4ab + 2a + 2b + 1 = 2k.

Rearranging terms, we get 2(2ab + a + b) = 2k - 1, which implies that 2 divides (2k - 1). This is a contradiction since 2 cannot divide an odd number.

Therefore, if m and n are odd, then mn is odd.

(e) To show that if m is even and n is odd, then mn is even, we can directly observe that when an even number is multiplied by any number, the result is always even.

Therefore, if m is even and n is odd, then mn is even.

(a) To disprove the claim "If x and y are integers such that x^2 > y^2, then x > y," we can provide a counterexample.

Let's try with x = 3 and y = 4:

x^2 = 3^2 = 9

\(y^2 = 4^2 = 16\)

Here\(, x^2 > y^2,\)but x = 3 is not greater than y = 4.

Therefore, the claim is false.

(b) To disprove the claim "If n is a positive integer, then n^2 + n + 41 is prime," we can provide a counterexample.

Let's try with n = 41:

\(n^2 + n + 41 = 41^2 + 41 + 41 = 1681 + 41 + 41 = 1763\)

Here, n = 41 is a positive integer, but \(n^2 + n + 41 = 1763\) is not prime since it is divisible by 41 and 43.

Therefore, the claim is false.

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Answer:

x = 2

Step-by-step explanation:

Hope this helps, have a good day

To determine if the liquid diet yields a higher average weight loss than the powder diet, we can conduct a hypothesis test. Let's assume the null hypothesis (H0) is that the average weight loss for both diets is the same, and the alternative hypothesis (Ha) is that the liquid diet yields a higher average weight loss.

To compare the means, we can use a two-sample t-test because we have two independent samples. The t-test compares the difference in means to the variability within the groups.

First, calculate the t-value using the formula:

t = (mean1 - mean2) / sqrt((s1^2/n1) + (s2^2/n2))

Here, mean1 is the average weight loss for the powder diet (42 pounds), mean2 is the average weight loss for the liquid diet (45 pounds), s1 is the standard deviation for the powder diet (12 pounds), s2 is the standard deviation for the liquid diet (14 pounds), n1 is the sample size for the powder diet (49 people), and n2 is the sample size for the liquid diet (36 people).

Substituting the values, we get:

t = (42 - 45) / sqrt((12^2/49) + (14^2/36))

Calculate the value of t to determine if it is statistically significant.

Next, compare the calculated t-value with the critical t-value for the desired level of significance (usually 0.05). If the calculated t-value is greater than the critical t-value, we reject the null hypothesis and conclude that there is evidence that the liquid diet yields a higher average weight loss than the powder diet.

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Answer:

B) $1.25/ 4

Step-by-step explanation:

if Anna had $5.00 to start with and after buying 4 pencils she had $3.75 left that would mean each pencil was around $1.25.

$5.00 subtract $3.75 equals $1.25

hope this helps :D

The equation of a line of best-fit that reflects a negative correlation is y = mx + b, where the slope m is negative.

When analyzing a scatter plot, a negative correlation indicates that as the independent variable increases, the dependent variable decreases. In the equation y = mx + b, the negative slope m represents the rate of decrease in the dependent variable for each unit increase in the independent variable. A negative slope means that as the x-values increase, the corresponding y-values decrease. The y-intercept b represents the value of the dependent variable when the independent variable is zero. Thus, the equation y = mx + b with a negative slope indicates a negative correlation between the variables being studied.

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"What is the equation of the line of best fit that represents a negative correlation between two variables?"

Answer: -17

Explanation: If g(x) = 4x - 5, then g(-3) = 4(-3) - 5 which simplifies to -17.

The area of the given figure is  x²+8x+15 square units.

The given figure is in the form of a rectangle.

The length of the rectangle is x+5.

The width of rectangle is x+3.

We know that area of rectangle is product of length and width.

Area of ACEG = length × width

Plug in the values of length and width:

Area =(x+5)(x+3)

=x²+5x+3x+15

Combine the like terms:

Area = x²+8x+15.

Hence, the area of the given figure is  x²+8x+15 square units.

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Answer:

448

Step-by-step explanation:

You just need to multiply 28 by 16