the freshmen want to plan a party for June to celebrate the big accomplishment of surviving their first year. they have to decide if they are going to order pizza from pizza hut or Hungry Howies. pizza hut charges a 10 delivery fee, plus 5 for each large pizza. alternately hungry Howies charges a 15 delivery fee plush 4.50 for each large pizza

Step-by-step explanation:

I think 1 is true.

3 is false. it's $10 per hour

Answer:

Step-by-step explanation:

We can use the standard normal distribution to solve this problem by standardizing the score.

z = (x - mu) / sigma

Where:

x = 70 (score we are interested in)

mu = 60 (mean score)

sigma = 7 (standard deviation)

z = (70 - 60) / 7 = 1.43

Using a standard normal distribution table or calculator, we can find the probability that z is greater than 1.43. The probability is approximately 0.0764.

Therefore, the probability that a randomly selected student scored more than 70 on the exam is 0.0764 (or about 7.64%).

The required expression that includes the numbers 2,4, and 5, has a value of 50 is  5(4 + 2) + 5(4)

Expressions are mathematical statements having two or more variables and connected by mathematical signs. The mathematical signs can be +, - and *

According to the question, we are to form an expression with 2, 4, and 5 that will give 50.

Connecting the integers using the given signs, we will have:

5(4 + 2) + 5(4)

Checking:

Expand the expression using distributive law:

= 5(4) + 5(2) + 5(4)

= 20 + 10 + 20

= 30 + 20

= 50

This that one of the arrangement in parenthesis is 5(4 + 2) + 5(4)

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To calculate the energy of the resulting explosion when a 10,000 kg UFO made of antimatter crashes with a 40,000 kg plane made of matter, we can use Einstein's famous equation, E=mc², which relates energy (E) to mass (m) and the speed of light (c).

In this case, we'll need to calculate the total mass of matter and antimatter involved in the collision and then use the equation to find the energy released. The equation E=mc² states that energy is equal to the mass multiplied by the square of the speed of light (c). In this scenario, we have a collision between a UFO made of antimatter and a plane made of matter. Antimatter and matter annihilate each other when they come into contact, resulting in a release of energy.

To calculate the energy of the resulting explosion, we need to determine the total mass involved in the collision. The total mass can be calculated by adding the masses of the UFO and the plane together. In this case, the UFO has a mass of 10,000 kg and the plane has a mass of 40,000 kg, so the total mass is 50,000 kg.

Next, we can use the equation E=mc² to calculate the energy. The speed of light (c) is a constant value, approximately 3 x 10^8 meters per second. Plugging in the values, we have E = (50,000 kg) x (3 x 10^8 m/s)². Simplifying the equation, we have E = 50,000 kg x 9 x 10^16 m²/s².Multiplying the numbers, we get E = 4.5 x 10^21 joules. Therefore, the energy of the resulting explosion when the UFO and plane collide is approximately 4.5 x 10^21 joules.

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Solving the equation 2^x + 124 = 5^y for x and, we get x = 0 and y = 5

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

2^x + 124 = 5^y

Set x = 0

So, that we calculate the of y

Using the above as a guide, we have the following:

2^0 + 124 = 5^y

This gives

1 + 124 = 5^y

Evaluate the like terms

So, we have

5^y = 125

Express 125 as 5^3

So, we have

5^y = 5^3

Evaluate

y = 3

Hence, the solution is x = 0 and y= 3

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The answers have been shown below.

Questions regarding the time spent by Jack jogging and bike riding are needed to be answered.

(A) The equations are \(x+y=75, y=15+x\)

Time spent jogging is 30 minutes

The total time would be \(45+60=105\) minutes which is not equal to 75 minutes.

(B) Let \(x\) be the time spent jogging.

\(y\) be the time spent bike riding.

\(x+y=75\\y=15+x\\x+15+x=75\\2x+15=75\\x=\frac{75-15}{2} =30\)

Time spent jogging is 30 minutes.

\(y=60\\x+y=75\)

(C) If he rides his bike 15 minutes longer than he jogs then he would have to jog \(60-15 = 45\) minutes.

Therefore, the total time would be \(45+60=105\) minutes which is not equal to 75 minutes.

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Answer:

1137

Step-by-step explanation:

5675+453

6128

Now

7265-6128

1137

The answer is b. false. In a state transition diagram, circles represent states in a system, and arrows represent the transitions between these states. The circle to the left does not necessarily indicate the final state.

Final states are typically denoted by a double circle or by other clear notations in the diagram, such as labels or annotations.

A state transition diagram is a valuable tool used to visualize the behavior of a system or process, helping to clarify how different states interact and evolve over time. The diagram consists of a finite number of states and transitions, and each transition connects two states with a specific event or condition. By understanding and analyzing these diagrams, we can gain insights into the overall behavior of the system, identify potential issues or areas for improvement, and create a solid foundation for system development and design.

In summary, the placement of a circle in a state transition diagram does not automatically indicate its role as a final state. It is crucial to carefully examine the entire diagram and any associated notations to correctly identify the final state(s) in the system.

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The number of reindeer in St. Elsewhere in 1920 will be approximately 475.

The growth rate of .12 indicates an annual increase of 12%, meaning that each year the number of reindeer will be multiplied by 1.12. To find the number of reindeer in 1920, we need to use this growth rate over the 20-year period from 1900 to 1920.
Starting with the initial 52 reindeer, we can multiply by 1.12 for each year. This gives us:
Year 1: 52 * 1.12 = 58.24
Year 2: 58.24 * 1.12 = 65.10
Year 3: 65.10 * 1.12 = 72.90
Year 4: 72.90 * 1.12 = 81.60
Year 5: 81.60 * 1.12 = 91.15
Year 6: 91.15 * 1.12 = 101.66
Year 7: 101.66 * 1.12 = 113.27
Year 8: 113.27 * 1.12 = 126.13
Year 9: 126.13 * 1.12 = 140.43
Year 10: 140.43 * 1.12 = 156.36
Year 11: 156.36 * 1.12 = 174.16
Year 12: 174.16 * 1.12 = 194.10
Year 13: 194.10 * 1.12 = 216.45
Year 14: 216.45 * 1.12 = 241.58
Year 15: 241.58 * 1.12 = 269.87
Year 16: 269.87 * 1.12 = 301.72
Year 17: 301.72 * 1.12 = 337.62
Year 18: 337.62 * 1.12 = 378.10
Year 19: 378.10 * 1.12 = 423.77
Year 20: 423.77 * 1.12 = 475.30
Therefore, the number of reindeer in St. Elsewhere in 1920 will be approximately 475.

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The missing number in the unit conversion problem is composed as follows:

9 ft = 108 inches.

The missing number is obtained applying the proportions in the context of the problem.

The unit conversion rate between ft and inches is given as follows:

1 feet = 12 inches.

Hence the number of inches in 9 feet is obtained multiplying 9 by 12, as follows:

9 x 12 = 108 inches.

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Assuming Boden does not add or take out any money, he would have $470.4 in the account after 4​ years.

Mathematically, simple interest can be calculated by using this formula:

S.I = PRT or S.I = A - P

Where:

Substituting the given parameters into the simple interest formula, we have;

S.I = 400 × 4.4/100 × 4

S.I = 400 × 0.044 × 4

S.I = $70.4.

Next, we would calculate the future value as follows;

S.I = A - P

Future value, A = S.I + P

Future value, A = $70.4 + $400

Future value, A = $470.4.

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To express the area A of the rectangular garden in terms of its length l, the formula is A = l * (90 - 2l). The maximum area of the garden can be determined by finding the maximum value of this formula.

The length and width of the garden that produce the maximum area when the farmer has 90 meters of fencing are l = 22.5 meters and w = 45 meters. If the farmer has 260 meters of fencing, the length and width that produce the garden with the maximum area will be l = 65 meters and w = 65 meters.

To derive the formula expressing the area A of the rectangular garden in terms of its length l, we need to consider the perimeter constraint. The perimeter is given as 90 meters, which means the total length of the fencing must equal 90 meters.

For a rectangular garden, the perimeter is calculated as 2 * (length + width). Therefore, we have the equation:

2 * (l + w) = 90

Simplifying the equation, we get:

l + w = 45

Next, we express the width w in terms of the length l by rearranging the equation:

w = 45 - l

To find the area A of the garden, we multiply the length l by the width w:

A = l * w = l * (45 - l)

This formula expresses the area A in terms of the length l.

To find the maximum area, we take the derivative of the area formula with respect to l and set it equal to zero:

dA/dl = 45 - 2l = 0

Solving this equation, we find l = 22.5 meters. Plugging this value back into the width equation w = 45 - l, we get w = 45 meters. Therefore, the length and width that produce the maximum area when the farmer has 90 meters of fencing are l = 22.5 meters and w = 45 meters.

If the farmer has 260 meters of fencing, we follow the same steps. The perimeter equation becomes:

2 * (l + w) = 260

Simplifying, we have:

l + w = 130

Expressing the width w in terms of the length l:

w = 130 - l

The area formula remains the same:

A = l * (130 - l)

To find the maximum area, we take the derivative:

dA/dl = 130 - 2l = 0

Solving this equation, we find l = 65 meters. Plugging this value back into the width equation w = 130 - l, we get w = 65 meters. Therefore, when the farmer has 260 meters of fencing, the length and width that produce the maximum area are l = 65 meters and w = 65 meters.

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The volume of a sphere with a radius of 7 cm (or diameter of 12 cm) is 904.32 cubic centimeters.

To find the volume of a sphere with a radius of 7 cm, we can use the formula:

V = (4/3) * π * r^3

where V represents the volume and r represents the radius. However, you mentioned that the diameter of the sphere is 12 cm, so we need to adjust the radius accordingly.

The diameter of a sphere is twice the radius, so the radius of this sphere is 12 cm / 2 = 6 cm. Now we can calculate the volume using the formula:

V = (4/3) * π * (6 cm)^3

V = (4/3) * 3.14 * (6 cm)^3

V = (4/3) * 3.14 * 216 cm^3

V = 904.32 cm^3

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Assuming that the rates are constant, we can see that Tom can paint the fence in 7.5 hours.

Here we will use equations of the form:

(rate at which person x paints)*(time) = 1 fence painted.

We know that Chuck can paint a fence in 5 hours, then if C is the rate (assuming this is constant), we can write:

C*5 hours = 1 fence

C = (1/5) fences per hour.

And let's say that Tom's rate is T.

When they work together, the rate is:

(C + T)

And they can paint the fence in 3 hours, then:

(C + T)*3 hours = 1 fence

Replacing the value of T we will get:

( 1/5 fences per hour + T)*3 hours = 1 fence

1/5 fences per hour + T = 1/3 fences per hour.

T = (1/3 - 1/5) fences per hour

T = (5/15 - 3/15) fences per hour

T = 2/15 fences per hour.

Then Tom paints the fence in:

(15/2) hours = 7.5 hours.

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Answer:

9a + 4b

Step-by-step explanation:

Start by multiplying the two values inside the parentheses (5a + 2b) by 2 to get 10a + 4b - a. Then, subtract the single a from the end to get 9a + 4b.

The variables a and b cannot be combined, so both variables must still be present in the final answer. Order of operations is also very important, because if you subtracted the a before multiplying, then you would get 8a, which isn't correct.

The given expression, \(d(n)d(n)d(n)\), represents the duration in seconds for Hailey to run her \(n^{th}\) lap. The specific values provided, 333, 777, 999, correspond to the durations of the 3rd, 7th, and 9th laps, respectively. The values 858585, 999999, and 110110110 are unrelated and do not provide any additional information about lap durations.

The expression \(d(n)d(n)d(n)\) suggests that each lap duration is represented by the function \(d(n)\), where \(n\) denotes the lap number. The specific values given (333, 777, 999) correspond to the 3rd, 7th, and 9th laps, respectively. However, the remaining values (858585, 999999, 110110110) do not appear to have a direct connection to the lap durations or the function \(d(n)\).

Without further information or a specific pattern, it is difficult to interpret the significance of the remaining values. It's important to note that more context or information about the pattern or relationship between the values would be necessary to provide a more detailed explanation or analysis.

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Answer:

Step-by-step explanation:

105 cm

Answer:

1. 43.98

2. 28.27

3. 7.85

Step-by-step explanation:

Answer:

B.17.5cm²

Step-by-step explanation:

S=a+b+c/2=

5+8+7/2=10

S=10

Area of the triangle=\(\sqrt{3(5-a)(5-b)(5-c)}\)

⇒\(\sqrt{10(10-5)(10-8)(10-7)}\)

⇒\(\sqrt{10*5*2*3}\)

⇒\(\sqrt{300}\)

⇒17.5cm²

hope it helps...

have a great day!!

Critical value used to test the claim that the mean number of restaurant employees is less than 15 at the 1% significance level is - 2.431

The square root of the variance is used to calculate the standard deviation, a statistic that gauges a dataset's dispersion from its mean. The variation from the mean of each data point is used to determine the standard deviation, which is equal to the square root of variance.

It is basically the average of the given numbers.

The given data is

Sample Size = n = 38

Sample mean = X = 12.6

Sample Standard deviation = S = 2.4

= n - 1 = 38 - 1 = 37

μ₀ = μ ≥ 15

μ₁ = μ < 15 ( left tailed )

d = 0.01

Hence, Critical value = - 2,431

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The expected time for activities, use the formula for expected value and multiply the time for each activity by its probability. Therefore, the expected time for these activities is 2.8 hours.

To calculate the expected time for activities, we can use the formula for expected value.

The expected value is calculated by multiplying the time for each activity by its probability of occurrence, and then summing up these values. The formula for expected value is: Expected Value = (Time1 * Probability1) + (Time2 * Probability2) + ... + (TimeN * ProbabilityN) Here's a step-by-step example:

1. List all the activities and their corresponding times and probabilities.

2. Multiply the time for each activity by its probability.

3. Sum up the values obtained in step 2.

For example, let's say we have two activities: Activity 1: Time = 2 hours, Probability = 0.6 Activity 2: Time = 4 hours, Probability = 0.4 Using the formula, we calculate the expected time as follows: Expected Time = (2 hours * 0.6) + (4 hours * 0.4) = 1.2 hours + 1.6 hours = 2.8 hours

Therefore, the expected time for these activities is 2.8 hours.

Here full question is not provided  but the full answer given above.

Remember, this is just one example, and you can use the same formula for any number of activities with their respective times and probabilities. In summary, to calculate the expected time for activities, use the formula for expected value and multiply the time for each activity by its probability. Then, sum up these values to get the expected time.

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Answer:

The formula for the area of a circle is:

A = πr^2

where A is the area and r is the radius.

In this case, we are given that the area is 4π cm². Solving for the radius, we get:

4π = πr^2

r^2 = 4

r = 2

So the radius of the circle is 2 cm.

The formula for the circumference of a circle is:

C = 2πr

Plugging in the value for the radius, we get:

C = 2π(2) = 4π

Therefore, the circumference of the circle is 4π cm.

The difference between the two localities is 1 speaker.

Let's solve the problems step by step:

a) To determine which of the two locations has a higher number of speakers of a language other than Spanish, we need to compare the ratios of speakers in El Cerrito and El Paseo.

In El Cerrito, 3 out of every 4 people speak a different language than Spanish. This can be written as a ratio: 3:4.

In El Paseo, 5 out of every 7 people speak a different language than Spanish. This can be written as a ratio: 5:7.

To compare the two ratios, we can find a common denominator. In this case, the least common multiple of 4 and 7 is 28.

In El Cerrito, the ratio becomes 21:28 (multiplying both sides by 7).

In El Paseo, the ratio becomes 20:28 (multiplying both sides by 4).

From the ratios, we can see that in El Cerrito, there are 21 out of 28 people who speak a different language than Spanish, while in El Paseo, there are 20 out of 28 people who speak a different language than Spanish.

Since 21 is greater than 20, El Cerrito has a higher number of speakers of a language other than Spanish.

b) The difference between the two localities can be calculated by subtracting the number of speakers in El Paseo from the number of speakers in El Cerrito.

In El Cerrito, there are 21 speakers of a different language than Spanish.

In El Paseo, there are 20 speakers of a different language than Spanish.

The difference is obtained by subtracting 20 from 21, resulting in a difference of 1 speaker.

Therefore, the difference between the two localities is 1 speaker.

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The

slope

of the

line

between the two points is 0.18.

To calculate the slope of the line between the two given

points

(3.5, $4.50) and (30, $9.20), we can use the formula for slope:

slope = (change in y) / (change in x)

As per the question, the weight serves as the explanatory variable (x), and the feed cost serves as the response variable (y).

Change in y = ($9.20 - $4.50) = $4.70

Change in x = (30 - 3.5) = 26.5

Therefore, the

slope

is:

slope = (4.70) / (26.5)

slope = 0.177  ≈ 0.18 (rounded to the nearest hundredth)

So, the

slope

of the

line

between the two points is 0.18.

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39 subjects were tested in this simple one-way ANOVA.

The df for F distribution is (treatment df, error df)

Using given information

Treatment df = 7

Error df = 31

Total df= 7+31 = 38

Again, total df = N-1, N= number of subjects tested

Then, N-1 = 38

=> N= 39

One-way ANOVA is typically used when there is a single independent variable or factor and the goal is to see whether variation or different levels of that factor have a measurable effect on the dependent variable.

The t-test is a method of determining whether two populations are statistically different from each other, and ANOVA determines whether three or more populations are statistically different from each other.

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(Answer: 1/3.)

Step-by-step explanation:

3/10 = 0.3 (Nonrepeating decimal)

1/3 = 0.333..... 1 divided by a prime number always will be an irritational number (Repeating decimal)

6/12 = 1/2 = 0.5 (Nonrepeating decimal)

3/4 = 0.75 (Nonrepeating decimal)

The total attendance at the food festival from 2014 to 2017 is 16648.

It should be noted that a graph is simply used in Mathematics to illustrate the information given for a data.

In this case, the graph shows the attendance for the years that are given. Therefore, the total attendance at the food festival from 2014 to 2017 will be:

= 2118 + 3391 + 4785 + 6354

= 16648

The attendance is 16648.

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(2 s) + ((−4) s) =

-2 seconds