The table shows the daily amount that Trevor spent on snacks. During


which week did Trevor spend a mean amount of $0. 85 per day on snacks? *


1 point


Week


Friday


$0. 50


1


Monday Tuesday Wednesday Thursday


$0. 75 $0. 50


$1. 00 $1. 25


$1. 25 $0. 75 $0. 25 $1. 00


$0. 50 $0. 75


$0. 25 $0. 25


$1. 25 $0. 25 $0. 75 $1. 00


$1. 00


AWN


$1. 25


$0. 50


Week 1


Week 2


Week 3


Week 4

Given that the cost is $1.10 per pound, we can calculate the cost per servable pound by dividing the total cost ($1.10 * 4 pounds) by the servable weight (2 pounds). Therefore, the correct option is c. $2.20.

The original weight of the food item is 4 pounds, and the cost per pound is $1.10. Therefore, the total cost of the food item is 4 pounds * $1.10 = $4.40.

The servable weight of the food item is 2 pounds. To find the cost per servable pound, we divide the total cost ($4.40) by the servable weight (2 pounds):

Cost per servable pound = Total cost / Servable weight = $4.40 / 2 pounds = $2.20.

Hence, the cost per servable pound for this food item is $2.20. Therefore, the correct option is c. $2.20.

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Answer:

y-intercept = 1/3

Step-by-step explanation:

\(f(x) = mx + c \)

\(f(x) = - \frac{2}{9} x + \frac{1}{3} \)

c = y-intercept

y-intercept= 1/3

Hello! :)

To find the y-intercept, substitute 0 for x-intercept then you will get the y-intercept.

(0,1/3) y-intercept

Hope this helped you!

THEDIPER

The test with the relative highest score is given by: D. She scored relatively better on the ACT because her z-score is higher.​

In order to determine the test that has the relative highest score, we would determine the z-score for the two tests that Mackenzie took.

Mathematically, the z-score of a given sample score can be calculated by using this formula:

Z-score = (x - μ)/σ

Where:

For the ACT test, we have:

Z-score = (23 - 20.3)/6.0

Z-score = 2.7/6.0

Z-score = 0.45.

For the SAT test, we have:

Z-score = (1150 - 1060)/217

Z-score = 90/217

Z-score = 0.42.

Therefore, Mackenzie had the relative highest score in ACT test because it has a higher z-score than the SAT test.

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The expected value for the binomial distribution with the provided probabilities is approximately 1.29888.

To find the expected value for the binomial distribution, we multiply each possible outcome by its corresponding probability and sum them up. In this case, we have the following outcomes and probabilities:

Successes: Probability:

0 243/3125

1 162/625

2 216/625

3 144/625

4 48/625

5 32/3125

To calculate the expected value, we multiply each outcome by its probability and sum them up:

Expected value = (0 * 243/3125) + (1 * 162/625) + (2 * 216/625) + (3 * 144/625) + (4 * 48/625) + (5 * 32/3125)

Simplifying this expression gives us:

Expected value = 0 + 0.26016 + 0.6912 + 0.27648 + 0.0384 + 0.03264

Expected value = 1.29888

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Answer:

56

Step-by-step explanation:

(4+7)²-(4²+7²)=121-65

                     =56

Answer:

56

Step-by-step explanation:

(4 + 7)² - (4² + 7²)  =  11² - (16 + 49)  =  121 - 65  =  56

Rounding to the nearest tenth, the area of the hexagon is 244.3 square inches.

The area of a regular hexagon is calculated using the formula (3√3 / 2) × s^2, where s is the length of a hexagonal side. Given that we are talking about a regular hexagon, it is important to remember that all of the sides are the same length. The formula Area of the Hexagon = (3√3 / 2) × s^2, where's' is the length of the hexagonal side, can be used to determine the area of a regular hexagon when one of its sides is known.

All of the sides of the hexagon are the same length because it is a regular shape.

Therefore, each side has a length of 57 inches / 6 = 9.5 inches.

To find the area of the hexagon, we can use the formula:

Area = (3√3 / 2) × s^2

where s is  length of a side.

Substituting s = 9.5 inches, we get:

Area = (3√3 / 2) × (9.5 inches)^2

Area ≈ 244.3 square inches

Rounding to the nearest tenth, the area of the hexagon is 244.3 square inches.

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Answer:

d

Step-by-step explanation:

Answer:

38 square feet

Step-by-step explanation:

Triangle 1: area = bh / 2 -> 3x4 / 2 = 6 square feet

Triangle 2: area = 4x4 / 2 = 8 square feet

Rectangle: area = 8x3 = 24 square feet

6 + 8 + 24 = 38 square feet

Option A. 57. Roman numerals use letters from the Latin alphabet to represent numbers. The Roman numeral LVII represents the number 57.

The basic symbols used in the Roman numeral system are I, V, X, L, C, D, and M, which represent the numbers 1, 5, 10, 50, 100, 500, and 1,000, respectively. By combining these symbols, larger numbers can be formed.

In the case of LVII, the symbol L represents 50, the symbol V represents 5, and the symbol II represents 2. To get the total value of the Roman numeral, we add up the values represented by each symbol. So:

LVII = L + V + II

= 50 + 5 + 2

= 57

Therefore, the Roman numeral LVII represents the number 57.

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What number does the roman numeral LVII represent?

A. 57

B. 58

C. 59

D. 60

Tertiary consumers are one level above primary producers in a food chain. In a food chain, the transfer of energy and nutrients occurs from one trophic level to another.

The trophic levels are categorized into producers, primary consumers, secondary consumers, and tertiary consumers.

Primary producers, such as plants or algae, are the first trophic level in a food chain. They convert energy from sunlight into organic matter through photosynthesis. Primary consumers, also known as herbivores, are the organisms that feed directly on primary producers.

Secondary consumers are the next trophic level and they feed on primary consumers. They are usually carnivores or omnivores that consume herbivores.

Finally, tertiary consumers occupy the highest trophic level in a food chain. They are the top predators that feed on secondary consumers. These can include large carnivores or even apex predators.

Therefore, tertiary consumers are one level above primary producers in the food chain. They represent the organisms that obtain energy by consuming other organisms higher up in the trophic hierarchy.

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Answer:

x=8

Step-by-step explanation:

add 6 to both sides

3x-6+6=18+6

3x=24

3x/3

24/3

x=8

Answer:

1) It is a qiadratic binomial which has 3 as coefficient on the quadratic term and 2 as the coefficient on the linear term

2) It is a quadratic trinomial which has 2 as coefficient in the quadratic term , -5 as the coefficient in the linear term & 3 as the coefficient of the constant term

3) It is a linear polynomial with no constant term and is a monomial ....it has 6 as coefficient in the linear term

Answer:

208

Step-by-step explanation:

4*30 = 120

(15-4) * 8 = 88

88 + 120 = 208

Answer:

208 cm

Step-by-step explanation:

Solving right side first. 8*15=120

Take out 8cm from 30. 30 - 8 = 22

22*4= 88

88 + 120 = 208

Check work I found the total area and the white rectangle.

15*30=450 which in total area

15-4=11 11 is the left/right side of the white rectangle

30-8=22 22 is the top/bottom side of the white rectangle.

22*11= 242

208+242=450

For a sample of room temperature during winter, an upper bound of the probability that the temperature in your room deviates from the mean by at least 4 degrees is equals to the 0.25.

For a sample of temperature during winter, Average temperature of room

= 70 degree

Standard deviations = 2 degrees

We have to determine upper bound of the probability that the temperature in your room deviates from the mean by at least 4 degrees. According to chebyehev's theorem, \(P( | X - μ |≥ k σ ) ≤ \frac{ 1 }{k²} \).

here , σ = 2 , μ = 70, kσ = 4

=> k = 2

So, the required upper bound of probability is \(P( | X - μ |≥ k σ ) ≤ \frac{ 1 }{k²} \)

≤ \(\frac{ 1 }{2²} \)

≤ \(\frac{ 1 }{4} \)

= 0.25

Hence, required upper bound value is 0.25.

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The number of different special pizzas possible is 3003.

To find this, you need to calculate the number of combinations of choosing 6 toppings from the 14 available. This can be represented using the combination formula, which is C(n, k) = n! / (k!(n-k)!), where n represents the total number of toppings (14) and k represents the number of toppings to choose (6).


1. Calculate factorial of n (14!): 14 x 13 x 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 87,178,291,200.
2. Calculate k! (6!): 6 x 5 x 4 x 3 x 2 x 1 = 720.
3. Calculate (n-k)! (8!): 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 40,320.
4. Divide n! by (k!(n-k)!): 87,178,291,200 / (720 x 40,320) = 3003.

So, there are 3003 different special pizzas possible with 6 toppings from a choice of 14.

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The number of oranges that are expected to weigh more than 4 oz is:

1400 - (1400 × 0.0228)≈ 1368.

The mean weight of the oranges growing in an orchard is 8 oz and standard deviation is 2 oz, the distribution of the weight of oranges can be represented as normal distribution.

From the batch of 1400 oranges, the number of oranges is expected to weigh more than 4 oz can be found using the formula for the Z-score of a given data point.

\(z = (x - μ) / σ\)

Wherez is the Z-score of the given data point x is the data point

μ is the mean weight of the oranges

σ is the standard deviation

Now, let's plug in the given values.

\(z = (4 - 8) / 2= -2\)

The area under the standard normal distribution curve to the left of a Z-score of -2 can be found using the standard normal distribution table. It is 0.0228. This means that 0.0228 of the oranges in the batch are expected to weigh less than 4 oz.

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Answer:

-5 or a is the answer to this question

given:

To find 3/4 is a solution of the above given equation.

let us subsitute in value of x.

now,

we get the same answer for the equation.

Thus 3/4 is a solution of the given equaion.

Answer:

it is 18

Step-by-step explanation:

you can see this so 21x12 is 18 so

The necessary part to prove the Angle sum property shown below:

The sum of a triangle's three internal angles is 180 degrees, as stated by the angle sum feature of a triangle. A closed shape with both inner and exterior angles, a triangle is created by three line segments. When the values of the other two angles are known, one can utilise the angle sum property to determine the measure of an unknown interior angle.

Given:

y is parallel to z

So, prove Sum of the Interior Angle Measures of a Triangle is 180 we need only the following statements

Statements                                                  Reasons

5. m<3= m<6                                               def. of a alternate interior angle

6. m<1+m<2+m<3= m<LAM                       angle addition postulate

7.  m<1+m<2+m<3 = 180                             def. of straight angle

8. m<5+ m<2+m<6= 180                             substitution

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Answer:

Option (3)

Step-by-step explanation:

The ramp shown in the figure is in the shape of a triangular prism.

Therefore, total surface area of this ramp = Area of the triangular sides + Area of the base + Area of the vertical side + Area of the slanting side

Area of the triangular sides = \(2[\frac{1}{2}(Base)\times (h)]\)

                                              = bh

                                              = 4×3

                                              = 12 square feet

Area of the rectangular base = Length × Width

                                                = 4 × 8

                                                = 32 square feet

Area of the vertical side = Length × Width

                                        = 3 × 8

                                        = 24 square feet

Area of the slanting side = Length × width

                                         = 8×5

                                         = 40 square feet

Total surface area = 12 + 32 + 24 + 40

                              = 108 square feet

Option (3) will be the answer.

Answer:

C (108)  

Im on the test right now  ~edge~

The financial disadvantage that Premium Paper Corporation would recognize per year if they eliminate the Recipe Cards Division is $30,500.

To determine the financial advantage or disadvantage of eliminating the Recipe Cards Division, we need to compare the contribution margin of the division with the portion of fixed costs that can be avoided.

The annual contribution margin of the Recipe Cards Division is $25,000. However, out of the $75,000 in fixed costs, $19,500 cannot be avoided. This means that if the division is eliminated, only $75,000 - $19,500 = $55,500 of fixed costs can be avoided.

If the division is eliminated, the financial advantage or disadvantage can be calculated as follows:

Financial advantage/disadvantage = Contribution margin - Avoidable fixed costs

Financial advantage/disadvantage = $25,000 - $55,500 = -$30,500

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Answer: 70

Step-by-step explanation: 21+21+14+14

If lidocaine is injected intra-arterially, it can quickly lead to systemic toxicity. The first signs of toxicity may include circumoral numbness and tongue paresthesia, but these symptoms may be followed by more severe manifestations such as dizziness, seizures, and cardiac arrest.

The systemic effects of lidocaine are dose-dependent, meaning that the higher the dose, the more severe the symptoms.

Lidocaine is a local anesthetic that is commonly used for minor surgical procedures or dental work. It works by blocking the nerve signals that transmit pain to the brain. However, if it is injected into an artery, it can rapidly spread throughout the body and affect other organs, leading to potentially life-threatening complications.

If you suspect that a patient has been injected with lidocaine intra-arterially, it is important to act quickly. The first step is to stop the injection and monitor the patient closely for signs of toxicity. If the patient is experiencing severe symptoms, such as seizures or cardiac arrest, emergency treatment should be initiated immediately. Treatment may include administering medications to counteract the effects of the lidocaine or performing cardio-pulmonary resuscitation (CPR) if necessary.

In conclusion, the first signs of lidocaine toxicity may include circumoral numbness and tongue paresthesia, but more severe symptoms may follow, such as dizziness, seizures, and cardiac arrest. If you suspect that a patient has been injected with lidocaine intra-arterially, it is important to act quickly to prevent potentially life-threatening complications.

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There are no options.

\(\frac{1}{b^{4} }\)   <------------- only expression created by this rule.

Answer:

Step-by-step explanation:

The given expression should be typed as b^(-4), which indicates that variable b has the exponent -4.

Recall that:            

     1

------------- = a^(-n)

   a^n

                                        1

Therefore, b^(-4) =   --------------

                                     b^4

Answer:

2224.32 cm³

Step-by-step explanation:

La fórmula para el volumen de una pirámide hexagonal = 1/3 (1/2 × P × a) × h

Donde a = Apotema = 9,93 cm

P = Perímetro =

Pirámide hexagonal = 6 × Bordes de la base = 6 × 8 cm = 48 cm

h = Altura = 28 cm

Por eso,

Volumen de la pirámide hexagonal = 1/3 (1/2 (48 × 9.93) × 28 cm

= 1/3 × 238.32 × 28 cm

= 2224.32 cm³

Volumen de la pirámide hexagonal = 2224.32 cm³

The bride and groom can form 252 different groups of five people from the total of 10 people at the rehearsal dinner, as they need to assign them to two tables of five people each.

To determine the number of different groups of five people that can be formed, we can use the concept of combinations. In this scenario, we have 10 people who need to be divided into two groups of five people each.

The number of ways to choose five people out of 10 can be calculated using the combination formula. The formula for combinations is given by:

C(n, r) = n! / (r! * (n - r)!)

Where n represents the total number of people and r represents the number of people to be chosen. In this case, n = 10 and r = 5.

Plugging these values into the formula, we get:

C(10, 5) = 10! / (5! * (10 - 5)!)

= (10 * 9 * 8 * 7 * 6 * 5!) / (5! * 5 * 4 * 3 * 2 * 1)

= (10 * 9 * 8 * 7 * 6) / (5 * 4 * 3 * 2 * 1)

= 252

Therefore, the bride and groom can form 252 different groups of five people from the total of 10 people at the rehearsal dinner. This means that there are 252 distinct ways to divide the 10 people into two tables of five people each, providing flexibility in creating diverse groups for the dinner.

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Answer:

go up twelve on the y axis

then go up eight right one

Using the Poisson distribution,

a) The probability that the next page you read contain zero typographical error is 0.81. .

b)The probability that the next page you read contain 2 more typographical errors is 0.017..

Given that expected number of typographical errors on a page out of 10 pages of a certain magazine is , λ = 0.20

Let X is a random variable representing the number of typographical error. We use Poisson distribution. The Poisson distribution formula is ,

P(X) = (e⁻λ λˣ)/x!

For part (a) Put X = 0 , we get

P(X=0) = (0.2)⁰e⁻⁰·²/0! = 1/ e⁰·²⁰= 0.8187

b) Find the probability that the next page you read contains 2 more typographical errors.

That is, P(X≥2) = 1- P(X=0) - P(X=1) = 1 - 0.8187 - (0.2)e⁻⁰·² /1!= 1 - 0.9824= 0.0175

Hence, the probability that an article of 10 pages contains zero typographical error is 0.8187 and contains 2 more error is 0.0175.

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Complete question:

6.37. the expected number of typographical errors on a page of a certain magazine is .2. what is the probability that an article of 10 pages contains (a)0 and (b) 2 more topography error

The front and side elevation diagram along with the diagram given in question is attached with the answer.

What is elevation?

A location's elevation can be defined as its height above or below a fixed reference point, most frequently a reference geoid, a mathematical representation of the Earth's sea level as an equipotential gravitational surface (see Geodetic datum Vertical datum). In most cases, elevation is used to describe locations on the surface of the Earth, whereas altitude or geopotential height is used to describe locations above the surface, such as those of flying airplanes or orbiting satellites, and depth is used to describe locations below the surface.

Drawing the required Elevation Using the Construction Method

The scale is 2 squares to 1 meter.

16 squares total make up the plane on which the front elevation is to be drawn.

Front elevation: There are 4 squares across the front elevation's width.

4 + 1 squares make up the portion of the front closest to the observer.

The slant surface of the has a square count of 3 by 4 squares.

Side elevation: By following the same format as before, the side elevation is provided as follows;

The lower side of the side elevation's breadth is 2 meters wide, or 4 squares.

The side elevation's height is 2 meters, or 4 squares.

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