FOR 100 POINTS!!!!!!!!!!!
A food truck did a daily survey of customers to find their food preferences. The data is partially entered in the frequency table. Complete the table to analyze the data and answer the questions:


Likes hamburgers Does not like hamburgers Total
Likes burritos 29 41
Does not like burritos 54 135
Total 110 205

Part A: What percentage of the survey respondents liked neither hamburgers nor burritos? Show all work. (3 points)

Part B: What is the marginal relative frequency of all customers who like hamburgers? Show all work. (3 points)

Part C: Is there an association between liking burritos and liking hamburgers? Use ratios of joint and marginal frequencies to support your answer. (4 points)

Answer:

Draw a circle and cut it into three

Step-by-step explanation:

Answer:

It is 16

Step-by-step explanation:

Because 64÷4=16 80÷5=16 96÷6=16

So to find the constant of portionality you divide the second number by the first number.

Answer:its 16

Step-by-step explanation:

The jar can hold a total of three tomatoes at a time.

Volume is the amount of space occupied by a three dimensional shape or object.

The tomatoes is spherical with a diameter of 6 cm (radius = 6/2 = 3cm), hence:

Volume of tomatoes = (4/3) * π * radius³ = (4/3) * π * 4³ = 268 cm³

The jar is cylinder with diameter of 8 cm (radius = 8/2 = 4) and a height of 21 cm, hence:

Volume of jar = π * radius² * height = π * 4² * 21 = 1055.6 cm³

Amount of tomatoes that can be contained in jar = 1055.6 cm³ / 268 cm³ = 3.9

The jar can hold a total of three tomatoes at a time.

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Answer:

228\pi

Step-by-step explanation:

=======================================================

Work Shown:

A = old value = 12 pounds

B = new value = 15 pounds

C = percent change

C = [ (B-A)/A ] * 100%

C = [ (15-12)/12 ] * 100%

C = (3/12)*100%

C = 0.25*100%

C = 25%

The positive C value indicates a percent increase

So effectively, we find the difference or change in weight (B-A) and divide it over the original weight (A). That leads to 0.25 which converts to 25%

Note that,

25% of 12 = 0.25*12 = 3

This says that the puppy gained 3 pounds, which is the value of B-A

Since the puppy gained 3 pounds, the new weight is 12+3 = 15 pounds

-----------

As an alternative, we could divide the two values B over A to find that

B/A = 15/12 = 1.25

Then subtract 1 from this result: 1.25 - 1 = 0.25 = 25%

Answer:

$15 an hour

Step-by-step explanation:

To find this, we divide 120 by 8.

120 ÷ 8 = 15

So Jane gets $15 an hour

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Answer:

After 25 minutes

Step-by-step explanation:

The answer is C

Answer:

Step-by-step explanation:

Louise: Water = 4.6 + 1.2*t gallons of water

Isaac: Water = 54.6 - 0.8 * t t is in minutes.

When will the two amounts of water be equal

When the two waters are the same.

4.6 + 1.2*t = 54.6 - 0.8t           Add 0.8t to both sides

4.6 + 1.2*t + 0.8*t = 54.6         Combine the left

4.6 + 2t = 54.6                        Subtract 4.6 from both sides.

4.6-4.6 + 2t = 54.6 - 4.6         Combine

2t = 50                                    Divide by 2

t = 50/2

t = 25

Answer: both aquariums will have the same amount of water in 25 min

Answer: C  

Answer:

A rate is a little bit different than the ratio, it is a special ratio. It is a comparison of measurements that have different units, like cents and grams. A unit rate is a rate with a denominator of 1.

Per is defined as to, for, by or according to. An example of per used as a preposition is in the phrase, "as per standards," which means by the standards

Division is splitting into equal parts or groups. It is the result of "fair sharing

You will need approximately 3.9 pints of grandma's "scoot juice" to last you until your trip to Mexico.

What is division ?

Division is a mathematical operation that involves splitting a number or quantity into equal parts or groups. It is the inverse operation of multiplication. Division is typically represented by the symbol "÷" or "/".

In division, the number being divided is called the dividend, the number that is dividing the dividend is called the divisor, and the result of the division is called the quotient.

According to given conditions:

To determine if you will have enough of grandma's "scoot juice" to last you until your trip to Mexico, we need to first calculate how much "scoot stop" you will need per dose based on your weight.

Given:

3 teaspoons of "scoot stop" per dose per 15 pounds of body weight

You weigh 154 pounds

We can calculate the amount of "scoot stop" you will need per dose as follows:

(154 pounds / 15 pounds) x 3 teaspoons = 31.2 teaspoons

Since there are 3 teaspoons in a tablespoon, we can convert this to tablespoons:

31.2 teaspoons / 3 teaspoons per tablespoon = 10.4 tablespoons

Next, we need to calculate the total amount of "scoot stop" you will need for the entire treatment period, which is 6 days.

10.4 tablespoons per dose x 2 doses per day = 20.8 tablespoons per day

20.8 tablespoons per day x 6 days = 124.8 tablespoons

Since there are 2 tablespoons in a fluid ounce, we can convert this to fluid ounces:

124.8 tablespoons / 2 tablespoons per fluid ounce = 62.4 fluid ounces

Finally, we need to convert this to pints, since grandma's "scoot juice" comes in 3.5 pint bottles.

62.4 fluid ounces / 16 fluid ounces per pint = 3.9 pints

Therefore, you will need approximately 3.9 pints of grandma's "scoot juice" to last you until your trip to Mexico. Since the bottle contains 3.5 pints, you will need to obtain an additional 0.4 pints (which is equivalent to 6.4 fluid ounces or approximately 0.2 quarts) to have enough for the entire treatment period.

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Answer:

500,000

Step-by-step explanation:

(2.1 * 10^8)/(4.2 * 10^2) =

= 2.1/4.2 * 10^8/10^2

= 0.5 * 10^6

= 500,000

Answer:

90 miles

Step-by-step explanation:

120/4 = 30

30 m/hour

3 hours = 30x3 = 90 miles

The percentage population increase from 2001 to 2011 is 50%.

To calculate the percentage population increase from 2001 to 2011, you need the population figures for both years. Let's assume the population in 2001 was 100,000 and in 2011 it was 150,000.

The formula to calculate the percentage increase is:

Percentage Increase = ((New Value - Old Value) / Old Value) * 100

Plugging in the values:

Percentage Increase = ((150,000 - 100,000) / 100,000) * 100 = (50,000 / 100,000) * 100 = 0.5 * 100 = 50%

Therefore, the percentage population increase from 2001 to 2011 is 50%.

Please note that the actual population figures for the respective years need to be used in the calculation to obtain an accurate result. The example above is for illustrative purposes.

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Answer:

Step-by-step explanation:

To calculate the work done by the crane in lifting the wrecking ball, we need to first calculate the gravitational potential energy of the ball before and after the lift, and then find the difference between them.

The gravitational potential energy (U) of an object of mass m at a height h above a reference level is given by the equation:

U = mgh

where g is the acceleration due to gravity, which is approximately 32.2 ft/s^2.

Before the lift, the ball is at ground level, so its height above the reference level is 0 ft. The mass of the ball is 3000 lbs, and we can calculate its initial gravitational potential energy as:

U_initial = (3000 lbs) x (32.2 ft/s^2) x (0 ft) = 0 ft-lbs

After the lift, the ball is 10 ft above the reference level, so its height is h = 10 ft. The length of the cable is also 10 ft, so the ball has been lifted a distance of 10 ft. The mass of the cable can be calculated as:

m_cable = (10 ft) x (7 lb/ft) = 70 lbs

The total mass that the crane has lifted is the sum of the mass of the ball and the mass of the cable:

m_total = 3000 lbs + 70 lbs = 3070 lbs

We can now calculate the final gravitational potential energy of the ball as:

U_final = (3070 lbs) x (32.2 ft/s^2) x (10 ft) = 9,932.4 ft-lbs

The work done by the crane in lifting the ball is the difference between the final and initial gravitational potential energies:

W = U_final - U_initial = 9,932.4 ft-lbs - 0 ft-lbs = 9,932.4 ft-lbs

Therefore, the work done by the crane in lifting the wrecking ball from ground level to 10 ft in the air is 9,932.4 ft-lbs.

Answer:

46 and -19

Step-by-step explanation:

That's the answer

Answer:

False

Step-by-step explanation:

False

They are only equal if the two function have equal rules and a similar domain.

I hope this helps! :)

Answer:

2x - 3y = 19

Step-by-step explanation:

y=(-5--1)/(2-8)*(x -8)+-1

y=-4/-6(x-8)-1

3y=2x-16-3

3y=2x-19

2x-3y=19

The expression that represent the perimeter of the triangle is 3d² - 4d + 1.

The perimeter of any two-dimensional figure is simply the distance around the figure.

Hence, the perimeter of the triangle is the sum of all its 3 side lengths.

From the diagram:

Side length 1 = ( d² + 3 )

Side length 2 = ( 4d² + 3d - 2 )

Side length 3 = ( -2d² - 7d )

Hence, the perimeter of the triangle will be:

Perimeter = side length 1 + side length 2 + side length 3

Plug in the expressions

Perimeter = ( d² + 3 ) + ( 4d² + 3d - 2 ) + ( -2d² - 7d )

Collect and add like terms:

Perimeter = d² + 3 + 4d² + 3d - 2 + -2d² - 7d

Perimeter = d² + 4d² - 2d² + 3d - 7d + 3 - 2

Perimeter = 3d² - 4d + 1

Therefore, the perimeter is 3d² - 4d + 1.

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6√3 is the value of y...

The weighted average length of a nail from the carpenter's box whose distribution is give in image is: 3.5cm.

What is weighted average ?

Weighted average is a type of average that takes into account the relative importance or weight of each data point. In a weighted average, each data point is multiplied by a corresponding weight, which reflects its relative importance, and the products are then summed and divided by the sum of the weights.

To find the weighted average length of a nail, we need to multiply each nail length by its percent abundance, then add up all the products and divide by the total percent abundance.

Let's start by calculating the product of each nail length and its percent abundance:

Short nail: (2.5 cm) x (70.5%) = 1.7625 cm

Medium nail: (5.0 cm) x (19%) = 0.95 cm

Long nail: (7.5 cm) x (10.5%) = 0.7875 cm

Now, we add up all the products:

1.7625 cm + 0.95 cm + 0.7875 cm = 3.5 cm

Finally, we divide by the total percent abundance:

70.5% + 19.0% + 10.5% = 100%

Therefore, the weighted average length of a nail from the carpenter's box is: 3.5 cm ÷ 100% = 3.5cm

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Answer:

Hi! The answer is 256 cubic inches! Hope I helped

Step-by-step explanation:

Answer:

The person is correct.  It is 256 cubic inches.

Step-by-step explanation:

An compound inequality that describes the acceptable weights for a 20 oz box is 19.25 ≤ x ≤ 20.75.

We have,

The absolute value of a number is defined as its magnitude irrespective of the sign of the number. To determine the absolute value of a real number, we consider only the number and remove the sign. It can only be a non-negative value.

We are Given that, cereal manufacturer has a tolerance of 0.75 oz for a box of cereal that is supposed to weigh 20 oz.

Let the weight of cereal box be; w

Now, the inequality is

20-0.75 ≤ x ≤ 20+0.75

Add 20 on both sides of an inequality, we get

19.25 ≤ x ≤ 20.75

Here, 19.25 ≤ x ≤ 20.75

Therefore, an absolute value inequality to find the range of acceptable weights is 19.25 ≤ x ≤ 20.75.

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Answer:

f(8) = 23

Step-by-step explanation:

1. substitute the value 8 in where X is present

(2 x8)+7

2. calculate the value of the equation

16+7 = 23

3. This is the value of f(8)

The expression will be;

⇒ (x- 4)² - 11

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ x² - 8x + 5

Now,

Solve the expression as;

⇒ x² - 8x + 5

⇒ x² - 8x + 16 - 16 + 5

⇒ (x- 4)² - 11

Thus, The value of the expression = (x- 4)² - 11

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Answer:

Step-by-step explanation:

80.000

Answer:

The answer is A, 3.50w.

Step-by-step explanation:

When there is 1 pound, it is 3.50. 2 pounds it's 7.00 which is 3.50 times 2.

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The value of x, y and z in the system equation is (1, 2, 3).

The solution of the equation can be determined by using Cramer's rule as follows;

[-5    -6      0] = [ -17]

[-3     -5     5]    [2   ]

[-6    -5      1]     [-13 ]

The determinant of the matrix is calculate as;

Δ = -5 (-5 + 25) + 6(-3 + 30) + 0(15 + 30)

Δ = 62

The x-determinant of the matrix is calculated as follows;

Δx = -17(-5 + 25) + 6(2 + 65) + 0

Δx = 62

The y-determinant of the matrix is calculated as follows;

Δy = -5(2 + 65) + 17(-3 + 30) + 0

Δy = 124

The z-determinant of the matrix is calculated as follows;

Δz = -5(65 + 10) + 6 (39 + 12) - 17(15 - 30)

Δz =  186

The value of x, y and z is calculated as follows;

x = Δx/Δ = 62/62 = 1

y = Δy/Δ = 124/62 = 2

z = Δz/Δ = 186/62 = 3

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Answer:

step 5

Step-by-step explanation:

solution can know step by

dont have to explain

The value of n that will make the expression equal is 13

Equations are expressions separated by equal sign

Given the equation

11n = 143

Divide both sides by 11 to have;

11n/11 = 143/11

n = 13

Hence the value of n that will make the expression equal is 13

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Keep in mind that without the population standard deviation, it is impossible to provide an exact sample size. However, this formula will give you a good starting point.

To find the sample size needed for a 99.5% confidence interval with a margin of error of 1.5, we can use the formula:

n = (Z * σ / E)^2

where n is the sample size, Z is the Z-score corresponding to the desired confidence level, σ is the population standard deviation, and E is the margin of error.

For a 99.5% confidence interval, the Z-score is approximately 2.807 (from a standard normal distribution table). Since we do not have the population standard deviation (σ), we will need to estimate it using a sample standard deviation or use a conservative approach by assuming the maximum possible value. For now, let's assume we have an estimated standard deviation.

n = (2.807 * σ / 1.5)^2

Solve for n by plugging in the estimated standard deviation (σ) and then round up to the nearest whole number, as you cannot have a fraction of a sample.
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