What is the value of x in the equation 1/5x - 2/3y = 30, when y = 15?

Answer:

Part A:

To find the percentage of survey respondents who liked neither hamburgers nor burritos, we need to calculate the frequency in the "Does not like hamburgers" and "Does not like burritos" categories.

Frequency of "Does not like hamburgers" = Total in "Does not like hamburgers" category = 135

Frequency of "Does not like burritos" = Total in "Does not like burritos" category = 54

Total respondents who liked neither hamburgers nor burritos = Frequency of "Does not like hamburgers" + Frequency of "Does not like burritos" = 135 + 54 = 189

Percentage of survey respondents who liked neither hamburgers nor burritos = (Total respondents who liked neither hamburgers nor burritos / Total respondents) x 100

Percentage = (189 / 205) x 100 = 92.2%

Therefore, 92.2% of the survey respondents liked neither hamburgers nor burritos.

Part B:

To find the marginal relative frequency of all customers who like hamburgers, we need to divide the frequency of "Likes hamburgers" by the total number of respondents.

Frequency of "Likes hamburgers" = 110 (given)

Total respondents = 205 (given)

Marginal relative frequency = Frequency of "Likes hamburgers" / Total respondents

Marginal relative frequency = 110 / 205 ≈ 0.5366 or 53.66%

Therefore, the marginal relative frequency of all customers who like hamburgers is approximately 53.66%.

Part C:

To determine if there is an association between liking burritos and liking hamburgers, we can compare the joint and marginal frequencies.

Joint frequency of "Likes hamburgers" and "Likes burritos" = 29 (given)

Marginal frequency of "Likes hamburgers" = 110 (given)

Marginal frequency of "Likes burritos" = 70 (calculated by adding the frequency of "Likes burritos" in the table)

To assess the association, we compare the ratio of the joint frequency to the product of the marginal frequencies:

Ratio = Joint frequency / (Marginal frequency of "Likes hamburgers" x Marginal frequency of "Likes burritos")

Ratio = 29 / (110 x 70)

Ratio ≈ 0.037 (rounded to three decimal places)

Answer:

5 3/8

Step-by-step explanation:

you have you convert the 1/4 to 8ths. You multiply both sides by 2 because 4x2=8. Then you have 2 1/8 + 3 2/8 which equals 5 3/8

Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

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

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

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Answer:

\(a_{n} = 7n + 10\)

Step-by-step explanation:

4 - (-3) = 7

11 - 4 = 7

The common difference (d) is 7

The formula for nth term of an arithmetic progression is \(a_{n} = d * n + a_{1} - d\)

. In this example we have d = 7 and \(a_{1} = -3\)

\(a_{n} = 7 * n + 3 - 7\\a_{n} = 7n + 10\\\)

NOTE: \(a_{1}\) represents the first term in the sequence (-3 , 4 , 11) hence -3

The given set is (3, 4, 5, ...} is infinite set.

A set with an infinite number of elements is one that cannot be numbered. A set that has no last element is said to be endless. A set that can be put into a one-to-one correspondence with a suitable subset of itself is said to be infinite. No issue with the in-class assignment.

The stars in the clear night sky, water droplets, and the billions of cells in the human body are just a few examples of endless sets of objects that surround us. A set of natural numbers, however, serves as the best illustration of an infinite set in mathematics. There is no limit to the amount of natural numbers.

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Answer:

exponential function

\(f(x) = 12 \cdot 1.023^t\)

Step-by-step explanation:

General exponential function \(f(x)=a \cdot b^x\)

where a is the initial value, b is the rate of increase/decrease (growth/decay factor), and t is time

Given:

\(f(x) = 12 \cdot 1.023^t\)

Answer:

7x³y² - 3x²y² + xy - 5

Step-by-step explanation:

Add like terms.

5x³y² + 2x³y² = 7x³y²

-3x²y² = -3x²y²

-3xy + 4xy = xy

2 - 7 = -5

Put them all together.

7x³y² - 3x²y² + xy - 5

Answer:

y= -3x+1

Step-by-step explanation:

x1= -2 x2=2 y1=7 y2=-5

using the formula

(y-y1)/(x-x1)=(y2-y1)/(x2-x1)

(y-7)/(x-(-2))=(-5-7)/(2-(-2))

(y-7)/(x+2)=(-5-7)/(2+2)

(y-7)/(x+2)=(-12)/4

(y-7)/(x+2)=-3

cross multiply

y-7=-3(x+2)

y-7=-3x-6

y=-3x-6+7

y=-3x+1

Answer:

the height is 15

Step-by-step explanation:

Divide the area of the base and volume to get the height

Answer:

thank you! you too

Answer:

Nice thanks for the tip! (and the free points) Have a good holiday to urself too!

Step-by-step explanation:

The value of ab=6.

What is \((a-b)^2\) formula ?

    To find the square of a binomial, use the \((a-b)^2\) formula. One of the most common algebraic identities is the a minus b Whole Square Formula. This formula is also known as the difference between two terms squared formula. To factorise some special types of trinomials, the \((a-b)^2\) formula is used.

Here \((a-b)^2 = a^2+b^2-2ab\) then,

=> \((a-b)^2 = a^2+b^2-2ab\)

Here a-b=5 and \(a^2+b^2\) = 37.

=> \(5^2\) = 37-2ab

=> 25 = 37-2ab

=> 2ab=37-25

=> 2ab = 12

=> ab=6.

Hence the value of ab=6.

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The statement about probability that is correct would be that the probability of landing on yellow is less than the probability of landing on blue. That is option B.

Probability is defined as the total number of possible outcome of an event.

The repeated colour which are numbered from 1 to 8 are as follows:

Therefore, the probability of landing on yellow is less than the probability of landing on blue because 1/4 is less than 3/8.

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Answer: B: The probability of landing on yellow is less than the probability of landing on blue.

Step-by-step explanation:

The relationship between the dates of spread and the number of people infected can vary depending on various factors such as the infectiousness of the disease, the effectiveness of containment measures, population density, and individual behaviors.

However, there is a general rule that can describe the relationship:As the dates of spread progress, the number of infected individuals tends to increase initially, reaching a peak, and then gradually decreasing over time.

This pattern is often referred to as the epidemic curve or the epidemiological curve. In the early stages of an outbreak, the number of cases may grow rapidly as the disease spreads through a susceptible population. This rapid increase is often influenced by factors such as the contagiousness of the disease, population density, and social interactions.

As containment measures, such as vaccination campaigns, public health interventions, and behavioral changes, are implemented, the rate of new infections may start to decline. This can lead to a peak in the number of cases, after which the curve gradually decreases as the disease is brought under control and fewer susceptible individuals remain.

It's important to note that the specific shape, duration, and magnitude of the epidemic curve can vary significantly depending on the disease and the effectiveness of the response measures implemented. Additionally, emerging variants, changes in behavior, and other factors can impact the trajectory of the epidemic curve.

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Answer:

Umbrella insurance is a type of personal liability coverage the goes above and beyond the amount the a regular home or vehicle insurance offers.

Step-by-step explanation:   I just looked it up hope that answers your question.

Answer:

A

Step-by-step explanation:

There are 6 possible outcomes, and 6 is just one of them, so 1/6

Answer:

one hamburger= $3

Step-by-step explanation:

Step-by-step explanation:

To determine the value of x that satisfies the expression x^2 + 3x - 5 when x = 9, we simply substitute 9 for x and evaluate the expression:

9^2 + 3(9) - 5 = 81 + 27 - 5 = 103

Therefore, when x = 9, the expression x^2 + 3x - 5 evaluates to 103.

rate my answer, please.

The function creates a data file of 100,000 points using the function is 100 arrays

Let's start with the first program.

The function you'll be using is

=> X(t) = A cos(w₁t) + B sin(w₂t) +C cos(w₃t) +D.

This is a mathematical function that takes in a time value, t, and returns a value for X(t). The constants A, B, C, and D determine the amplitude of each component of the function, while the values of w₁, w₂, and w₃ determine the frequency of each component.

Once you've determined the sampling frequency, you can use the X(t) function to generate 100,000 data points. These data points should be written to a file that can be read in by the second program.

The data should be read in sequentially with every 1000 points in a different array. The name of the array should be "Data File". When you're done, "Data File" should have 100 arrays with 1000 points each.

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\(\huge\textsf{Hey there!}\)

\(\mathsf{16 \dfrac{40}{50}}\)

\(\mathsf{= \dfrac{16\times50 + 40}{50}}\)

\(\mathsf{= \dfrac{800 + 40}{50}}\)

\(\mathsf{= \dfrac{840}{50}}\)

\(\mathsf{= 840\div50}\)

\(\mathsf{= 16.8}\)

\(\huge\textbf{Therefore, your answer should be:}\)

\(\huge\boxed{\mathsf{16.8}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

To make the fractions equivalent, we need to find the missing numerators that would make them equal. Let's fill in the missing numerators:

1/2 and __/8

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:

1/2 and 4/8

Now, the fractions are equivalent.

---

4/12 and __/60

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 5:

4/12 and 20/60

Now, the fractions are equivalent.

---

2/3 and __/12

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:

2/3 and 8/12

Now, the fractions are equivalent.

---

4/4 and __/8

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 2:

4/4 and 8/8

Now, the fractions are equivalent.

The probability of a prime number or a number greater than 3 coming up is given as follows:

5/6.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

When a dice is thrown, there are six possible outcomes, ranging from 1 to 6, and the desired outcomes are given as follows:

Hence the probability is given as follows:

5/6.

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The last-minute cancellations of two families (11 people in total) due to illness may affect the decision as to which company offers more favorable terms, depending on the specific circumstances and fee structures of the companies involved.

If the rate is based on per person, canceling 11 people would significantly reduce the total cost for both companies. In this case, one would compare the changed prices of each company to determine which one offers the better deal.

However, with flat-rate pricing regardless of the number of participants, the cancellation of 11 people would not affect costs for either company. In such a scenario, the cancellation will not affect the evaluation of which company presents the better offer.

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The measure of the minor arc m∡rv = 111°

Recall that according to the principle of angle of intersecting secants, (a-b)/2 = c

Where a = ∡RV
b = ∡SU = 37°:

and c = ∠T (the angle between intersecting secants.

Thus, if (a-b)/2 = c, and b = c = 37 degrees, then we can substitute these values into the equation to get:

(a - 37) / 2 = 37

Multiplying both sides by 2 gives:

a - 37 = 74

Adding 37 to both sides gives:

a = 111

Therefore, a is equal to  m∡rv = 111°.

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Answer: 4*4= 16

Step-by-step explanation:

if Neha is 4 years older than her son, so she will be sixteen.

Answer:

40 meters per second.

Step-by-step explanation:

If there are 1600 meters in one mile, there are 144,000 meters in 90 miles meaning 90 mph is 144,000 meters per hour.

There are 3,600 seconds in an hour so there would be

144,000 meters ÷ 3,600 seconds = 40 meters per second.

Answer: C

Step-by-step explanation:

Answer:

-12 -4x^2

Step-by-step explanation:

f(x) = -6 -2x^2

We want to find 2f(x) so multiply each term by 2

2f(x) = 2 (  -6 -2x^2)

      Distribute

       = -12 -4x^2