A food truck used 6 cartons of boxes for the dinners they sold yesterday. There are 24 boxes in a carton. Each dinner uses one box and costs $11. How many boxes did the food truck use yesterday? What was the total amount of money they made from selling dinners?

The appropriate hypotheses for this test are: H0: There is no difference in the distribution of responses. Ha: There is a difference in the distribution of responses.

The chosen hypotheses are based on the objective of the investigation, which is to determine if there is convincing evidence that the distribution of responses about eating the potato salad differs between employees who are sick and those who are not sick.

The null hypothesis (H0) assumes that there is no difference in the distribution of responses about eating the potato salad between the sick and non-sick employees. This means that the proportion of employees who ate the potato salad would be the same in both groups, and any observed difference in the distribution of responses is due to random chance or factors unrelated to being sick or not sick.

On the other hand, the alternative hypothesis (Ha) proposes that there is a difference in the distribution of responses about eating the potato salad between the sick and non-sick employees. This suggests that the proportion of employees who ate the potato salad would be significantly different in the two groups, indicating a possible association between consuming the potato salad and getting sick.

By formulating these hypotheses, the investigation aims to evaluate whether the data provides convincing evidence to reject the null hypothesis in favor of the alternative hypothesis, indicating a meaningful relationship between eating the potato salad and falling sick.

Therefore, the correct answer is:

H0: There is no difference in the distribution of responses about eating the potato salad among those who are and are not sick.

Ha: There is a difference in the distribution of responses about eating the potato salad among those who are and are not sick.

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With a triangle, the sum of any two side lengths must be greater than the third side length. If this is not true, then the side lengths cannot make a triangle. Let's go through each set of side lengths and determine which would and wouldn't work.

a. 3, 4, 8 - will not make a triangle

3 + 4 = 7 > 8 = false

3 + 8 = 11 > 4 = true

4 + 8 = 12 > 3 = true

b. 7, 6, 12 - will make a triangle

7 + 6 = 13 > 12 = true

7 + 12 = 19 > 6 = true

6 + 12 = 18 > 7 = true

c. 5, 11, 13 - will make a triangle

5 + 11 = 16 > 13 = true

5 + 13 = 18 > 11 = true

11 + 13 = 24 > 5 = true

d. 4, 6, 12 - will not make a triangle

4 + 6 = 10 > 12 = false

4 + 12 = 16 > 6 = true

6 + 12 = 18 > 4 = true

e. 4, 6, 10 - will not make a triangle

4 + 6 = 10 > 10 = false

4 + 10 = 14 > 6 = true

6 + 10 = 16 > 4 = true

Hope this helps!

The missing ordered pairs that satisfy the equation y = 2x + 4 are (3, 10) and (2, 8).

The equation given is y = 2x + 4. To compute the missing x and y values, we need to substitute the given ordered pairs into the equation and solve for the missing variable.

Let's assume we have an ordered pair (x, y) that satisfies the equation y = 2x + 4.

For example, let's say one missing value is x = 3. We can substitute this into the equation:

y = 2(3) + 4

y = 6 + 4

y = 10

So, the missing ordered pair is (3, 10).

Similarly, if another missing value is y = 8, we can substitute this into the equation and solve for x:

8 = 2x + 4

4 = 2x

x = 2

So, the missing ordered pair is (2, 8).

In summary, the missing x and y values that satisfy the equation y = 2x + 4 are (3, 10) and (2, 8).

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The linear approximation used by the first step of Newton's method can be expressed as: f(x) ≈ f(a) + f'(a) * (x - a)

The linear approximation used by the first step of Newton's method is given by the equation:

f(x) ≈ f(a) + f'(a) * (x - a)

In other words, the linear approximation is produced by adding the derivative of the function at the initial guess and the difference between the updated estimate x and the starting guess a to the value of the function at the starting guess.

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S.I= PRT /100

where,

P = price $500

R = rate 10%

T = time =8months

= $500*10*8/100

= $40,000/100

S.I = $400

Hy mate!!

The answer of your question is in the attachment..!!

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Answer:

x intercept: (6,0) y intercept: (0,7)

Step-by-step explanation:

first is x intercept

7x+6(0)=42

7x=42

x=6

now y intercept

7(0)+6y=42

6y=42

y=7

The x- and y- intercepts of the equation 7x + 6y = 42 will be x intercept: (6,0) y intercept: (0,7)

The x-intercept of a function of variable x ( y = f(x) ) form is an intersection fo the x-axis and the curve of the function.

The intersection of the graph of the function with the y-axis gives y-intercept of that function.

The y-intercept is the value of y on the y-axis at which the considered function intersects it.

The first is x intercept of the equation;

7x + 6y = 42

So, y = 0

7x+6(0)=42

7x=42

x=6

Now y - intercept of the equation;

7(0)+6y  = 42

6y = 42

y = 7

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I got the answer of 505 students

The measures of the three intercepted arcs from least to greatest are;

AC < BC < AB

We have,

We are given that

Angle ACB = 63 degrees

Arc BC is 118 degrees.

Now, from the Triangle angle sum theorem, we know that the sum of all interior angles of any triangle is always equal to 180 degrees.

Thus, the sum of the interior angles of the inscribed triangle given to us id also 180 degrees.

Now, since Angle ACB = 63 degrees

Then Arc AB = 63 * 2 = 126

Arc AC = 360 - (Arc BC + Arc AB)

We are given BC = 118 degrees

Thus;

Arc AC = 360 - (118 + 126)

Arc AC = 116°

Thus, the least arc angle is Arc AC while the greatest is Arc AB

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complete question:

Triangle ABC is inscribed in a circle centered at point O.

The figure shows triangle ABC is inscribed in a circle centered at point O and has an angle ACB is 63 degrees and arc BC is 118 degrees.

Order the measures of the three intercepted arcs from least to greatest.

Answer:

the answer is 16

Step-by-step explanation:

bc 12+4 is 16 .....

Answer:

-2a - 2b

Step-by-step explanation:

Question : (4a + b)-3(2a + b)

= 4a + b - 6a - 3b

= 4a - 6a + b - 3b

= -2a + (-2b)

= -2a -2b

If you need detail solution here ;

first + multiply both 4a and b

first -3 multiply both 2a and b and then -3×2a= -6a

-3×b = -3b

and it will be 4a + b -6a -3b,then collect like terms

4a - 6a + b -3b

= -2a +(-2b) in this part + tims - = -

= -2a - 2b

If it's not helpful ask me on comment I will try to answer

If it's helpful ❤❤

THANK YOU

We are given the radius of the scoop and asked to find the volume of ice cream in one scoop. By using the formula for the volume of a sphere and substituting the given radius, we can calculate the volume. The final answer is approximately 33.49 cubic inches.

a) The problem asks for the volume of ice cream in one scoop.

b) The given fact is that the radius of the scoop is 2 inches.

c) The formula to be used is the volume of a sphere, which is given by V = (4/3)πr³, where V is the volume and r is the radius.

d) Number Sentence:

  - Given: Radius (r) = 2 inches

  - Formula: V = (4/3)πr³

  - Substituting the value: V = (4/3)π(2)³

  - Simplifying: V = (4/3)π(8)

  - Evaluating: V = (4/3)(3.14)(8)

  - Multiplying: V = 33.49333333 (approx.)

e) Final answer: The volume of ice cream in one scoop is approximately 33.49 cubic inches.

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Answer:

Below.

Step-by-step explanation:

Total payment = 1800 * 30 * 12 = 648,000.

Interest = 448,000.

Heather should have to pay total of $648,000 to the bank and Interest Heather will pay to the bank is $448,000.

Interest is the price you pay to borrow money or cost you charge to lend money. Interest can be calculated by total amount you paid after a specific time period minus the total amount you borrowed.

Heather borrowed $200,000 from a bank over a period of time 30 year.

30 year = 12×30monts

              =360 months

Now, The monthly payment to the bank is = $1800

Therefore total payments in 360 months is = 360×$1800

                                                                       =$648,000

Bank Interest = $648,000 - $200,000

                      =$448,000

Hence , Heather total interest after 30 years will be =$448,000

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Answer:

of the students who live more than one mile

away, about 76% ride a bike.

Step-by-step explanation:

Answer:

75%

Step-by-step explanation:

1. solve 9/12=.75

2. multiply by 100 to get the percentage

Answer:

slope is zero

Step-by-step explanation:

Since the y coordinate of both points is 9

there is no rise between the points

therefor the slope is zero

it's a horizontal line

Answer:

28.52

Step-by-step explanation:

105.87 - 77.35 = 28.52

Answer:

    \(\textsf{Choice A } \quad y = \dfrac{5}{3}x + 1\)

Step-by-step explanation:

Slope intercept form of a line equation is

y = mx + b

where

m = slope

b = y-intercept

A perpendicular line to y = mx + b will have a slope of -1/m

Let's first find the equation for line z in slope-intercept form
Slope m for a line  = (y2- y1)/(x2 - x1) where x1, y1 and x2, y2 are two points on the line

Slope of line z is
\(m = \dfrac { 2 - (-1) }{-2 - 3} = \dfrac{3}{-5} = - \dfrac{3}{5}\)

So line z will have an equation of the form
\(y = -\dfrac{3}{5}x + b\)

We know that a line perpendicular to this line will have a slope of
\(- \dfrac{1}{-\dfrac{3}{5}} = \dfrac{5}{3}\)

So the equation of the perpendicular line is
\(y = \dfrac{5}{3}x + b\)

Only one of the 4 choices, name choice A has this slope of 5/3

Therefore the correct answer choice is A

There is no need to compute b, the y intercept but if you wanted to, this is how you would do it:

The perpendicular line passes through (3, 6). This means when x = 3, y =6

Substitute these values of x, y into the equation for the perpendicular line and solve for b

\(y = \dfrac{5}{3}x + b\\\\\text{When x = 3, y = 6}:\\\\6 = \dfrac{5}{3} \cdot 3 + b\\\\6 = 5 + b\\\\b = 6 - 5 = 1\\\\\text{So, the equation of the perpendicular line is }\\y = \dfrac{5}{3}x + 1\)

This corresponds to Choice A

Answer:

.................

Step-by-step explanation:

............

Answer:

11/2 times 1/3 is 11/6

Step-by-step explanation:

11/2 times 1/3,

We have to multiply the numerators and denominators,

\((11/2)(1/3) = (11*1)/(2*3) = 11/6\\11/6\)

hence we get 11/6

Answer:

\(\displaystyle V = 972 \pi \ ft^3\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Volume of a Sphere Formula: \(\displaystyle V = \frac{4}{3} \pi r^3\)

Step-by-step explanation:

Step 1: Define

Radius r = 9 ft

Step 2: Solve for V

Answer:

Anna owes $3600 to the bank

Step-by-step explanation:

12/100 * 6000 = 720 * 5 years

= $3600

Hence Anna owes $3600 to the bank

Answer:

n = 19

Step-by-step explanation:

2n > 36 ( divide both sides by 2 )

n > 18

and

5n < 100 ( divide both sides by 5 )

n < 20

so n > 18 and n < 20

thus n = 19

we can find the value of 1.35

270=200(1+r)

where r is the common ratio of each term

we need to clear r

to find this formula exponentially

we use

PW=P0(1+r)^n

the formula can we use for this problem will be

where

PW is the new population of wolves

P0 the original population of wolves

n=the years

4021 wolves will be there in 10 years

Answer:

h = √72 in.

Step-by-step explanation:

Height of the cone using pythagorean theorem, a² + b² = c², where:

a = h

b = ½(6) = 3 in.

c = 9 in.

Plug in the values

h² + 3² = 9²

h² + 9 = 81

h² + 9 - 9 = 81 - 9

h² = 72

h = √72

The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities.

If Mofor only has time to do two homework assignments out of the five subjects, he will need to choose which subjects to prioritize. The specific subjects he chooses to work on will depend on various factors such as his strengths, weaknesses, upcoming deadlines, and personal preferences. Here are a few strategies he could consider:

1. Prioritize based on importance: Mofor can prioritize the homework assignments that carry more weight in terms of grades or have upcoming deadlines. This way, he ensures that he completes the assignments that have a higher impact on his overall academic performance.

2. Focus on challenging subjects: If Mofor finds certain subjects more difficult or time-consuming, he can prioritize those assignments to allocate more time and effort to them. This approach allows him to concentrate on improving his understanding and performance in subjects that require extra attention.

3. Balance workload: Mofor can choose to distribute his efforts evenly across subjects, selecting two assignments from different subjects. This strategy ensures that he maintains a balanced workload and avoids neglecting any particular subject.

The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities. It is essential for him to consider his academic goals, time constraints, and personal strengths to make an informed decision.

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a) Comparing the two functions, Scooter's business has a lower slope of 15 compared to Karissa's business with a slope of 35. b) Both Scooter and Karissa earned a total of $500 in that month. Therefore, they had an equal month in terms of total money earned.

a) In the context of Scooter's business, the slope of the function f(x) = 200 + 15x represents the rate at which the total money earned increases with each additional sale. Each unit increase in x (number of sales) results in an increase of $15 in total money earned. The y-intercept of 200 represents the initial amount of money Scooter already had before making any sales.

In the context of Karissa's business, the slope of the function f(x) = 80 + 35x represents the rate at which the total money earned increases with each additional repair job. Each unit increase in x (number of repairs) results in an increase of $35 in total money earned. The y-intercept of 80 represents the initial amount of money Karissa already had before doing any repair jobs.

Comparing the two functions, Scooter's business has a lower slope of 15 compared to Karissa's business with a slope of 35. This means that Karissa's business earns more money per repair job compared to Scooter's business per t-shirt sale.

b) To determine who had the better month, we need to calculate the total money earned by each individual based on the given sales/repairs.

For Scooter, with x = 20 (number of shirts sold):

f(x) = 200 + 15x

f(20) = 200 + 15 * 20

f(20) = 200 + 300

f(20) = 500

For Karissa, with x = 12 (number of repairs):

f(x) = 80 + 35x

f(12) = 80 + 35 * 12

f(12) = 80 + 420

f(12) = 500

Both Scooter and Karissa earned a total of $500 in that month. Therefore, they had an equal month in terms of total money earned.

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Answer:

Speed =distance divide by time

=200 kilometres divide by 5

=40km/h

Distance =speed multiple by time

=40 multiple by 7 hours

=280km