(1 point) Rework problem 19 from section 2.4 of your text, involving the selection of frozen dinners. Assume that there are 18 frozen dinners: 10 pasta, 5 chicken, and 3 seafood dinners. The student selects 5 of them. What is the probability that at least 2 of the dinners selected are pasta dinners?

Answer:

um a

Step-by-step explanation:

I'm pretty sure (98%) it is A.

Let me know if I'm wrong.

Answer:

44%

Step-by-step explanation:

Suppose the original number is 100.

It is increased by 20 %, so the result will be 120.

The resulting number is again increased by 20%, which is increased by 120 *20/100, which is increased by 24. The final result will be 120+24 that is 144.

The final result is increased by 44 compared to the original number 100.

So, increase by 44%.

The equation that relates x and y is 4 = k/6 and the value of y when x = -8 will be -3.



From the information given, the variables x and y vary inversely, and y = 4 when x = 6. Therefore, the equation that relates x to y will be:

y = k/x

4 = k/6

k = 4 × 6 = 24

The value of y when x = -8 will be:

y = k/6

y = 24/-8

y = -3.

Learn more about variation on:

https://brainly.com/question/13998680

#SPJ1

A(n) = 3 + 7(n-1)

Arithmetic sequences have common differences and change by the same amount between each term.

Arithmetic Sequences

Arithmetic sequences change by the same amount each term. In the sequence above, each term increases by 7. This means that 7 is added to the previous term to make the new term. Using this information we can write a function to represent this sequence.

Explicit Rule

The function that describes an arithmetic sequence is known as an explicit rule. Explicit rules are written as A(n) = A(1) + d(n-1). In this equation, A(1) represents the first term in a sequence and d represents the common difference. As you can see, the first term is 3, so A(1) = 3. The common difference is the change between terms. The previous paragraph shows that the common difference for this sequence is 7.

This means the explicit rule for this sequence is A(n) = 3 + 7(n-1).

Step-by-step explanation:

y=5×4+8=28

y=5×(-3)+8=-7

P(X = 7), λ = 6: The Poisson probability of X = 7, with a parameter (λ) value of 6, is 0.1446. P(X = 11), λ = 12: The Poisson probability of X = 11, with a parameter (λ) value of 12, is 0.0946. P(X = 6), λ = 8: The Poisson probability of X = 6, with a parameter (λ) value of 8, is 0.1206.

The Poisson probability is used to calculate the probability of a certain number of events occurring in a fixed interval of time or space, given the average rate of occurrence (parameter λ). The formula for Poisson probability is P(X = k) = (e^-λ * λ^k) / k!, where X is the random variable representing the number of events and k is the desired number of events.

To calculate the Poisson probabilities in this case, we substitute the given values of λ and k into the formula. For example, for the first case (a), we have λ = 6 and k = 7: P(X = 7) = (e^-6 * 6^7) / 7!

Using a calculator, we can evaluate this expression to find that the probability is approximately 0.1446. Similarly, for case (b) with λ = 12 and k = 11, and for case (c) with λ = 8 and k = 6, we can apply the same formula to find the respective Poisson probabilities.

Learn more about probability here:

https://brainly.com/question/31828911

#SPJ11

Answer:

45 and 13…......

Step-by-step explanation:

devide

Hey there! :)

Answer:

4 - 40i

Step-by-step explanation:

Subtracting the two expressions:

(7 - 10i) - (3 + 30i)

Distribute the negative sign:

7 - 10i - 3 - 30i

Combine like terms:

4 - 40i

Answer:

4 - 40i.

Step-by-step explanation:

(7 - 10i) – (3 + 30i)

= 7 - 10i - 3 - 30i

= 7 - 3 - 10i - 30i

= 4 - 40i

Hope this helps!

f(x) and g(x) are not closed under subtraction because when subtracted, the result will be a polynomial, the correct option is B.

A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminate in mathematics. Majorly used polynomials are binomial and trinomial.

Given f(x) and  g(x) two polynomial functions in the standard form of the polynomial,

According to Closure Property, when something is closed, the output will be the same as the input.

The polynomials f(x) and g(x) can be seen in the image.

On subtracting the two polynomials, the output will be a polynomial and so it is closed under subtraction.

Therefore, The reason why f(x) and g(x) are not closed under subtraction is that the outcome of subtraction will be a polynomial, making option B the best choice.

Learn more about Polynomials here:

https://brainly.com/question/11536910

#SPJ1

Complete question:

To solve this exercise we only need to find the difference in thickness between the 2 walls

• Drywall = 3/4 inch thick

• Stud 2x6 =5 5/8 inch thick

• Drywall = 5/8 inch thick

• Stud 2x4=3 5/8 inch thick

We proceed to subtract them to know what the difference is

Answer:

The highest rate of birds is during the years 4 to 3

(remember that the lowest digit of number of negative is the highest and the highest is the lowest)

Step-by-step explanation:

Rate of Changes:

1 to 2: 5080.86 - 5238/ 2 - 1

=  -157.14/1

= (convert to decimal) -157.1

2 to 3: 4928.43 - 5080.86/ 3 - 2

= -152.43/ 1

= -152.43

3 to 4: 4780.58 - 4928.43/ 4 - 3

= -147.85/ 1

= -147.85

Answer and Step-by-step explanation:

(i) The solution for equation: 2(3x-3) - 5 = 2(x-3) + 15 is:

2(3x-3) - 5 = 2(x-3) + 15

6x - 6 - 5 = 2x - 6 +15

6x - 2x = - 6 + 15 + 6 + 5

4x = 20

x = 5

The solution x is a real number and equals 5.

(ii) Since the order of hot sauce that goes into the gumbo doesn't matter, use combination:

\(C^{10}_{3}\) = \(\frac{10!}{3! (10-3)!}\)

\(C^{10}_{3}\) =  \(\frac{10.9.8.7!}{3.2.1.7!}\)

\(C^{10}_{3}\) = 120

There are 120 ways of picking 3 sauces out of 10.

(iii) Interest is calculated as:

interest = principal*rate*time

Principal is the value of the loan;

Rate is how much it will increase;

Time is for how long the loan will be taken. In this case, time is 9/12 since it was for months;

Interest = 3000 * \(\frac{11.75}{100}*\frac{9}{12}\)

Interest = 264.37

The interest the student will pay will be: $264.37.

Future Value = principal + interest

future value = 3000 + 264.37

future value = 3264.37

The future value for the student is $3264.37.

(iv) As shown in the image in the attachment, the sum of the equations equals 90:

2x + 30 + 2x + 40 = 90

4x = 20

x = 5

The angles are 40° and 50°

Answer:

-18 =x

Step-by-step explanation:

-7 = -1 + x/3

Add 1 to each side

-7+1 = -1+1 + x/3

-6 = x/3

Multiply each side by 3

-6*3 = x/3*3

-18 =x

The assumption for linear regression analysis that is violated when the dependent variable is binary is the linearity of observed and predicted values. Binary variables only take on two values (0 or 1), and thus cannot be plotted on a linear regression line. Therefore, linear regression analysis is not appropriate for binary variables. Logistic regression is a more appropriate analysis method for binary variables.

Hi! If the dependent variable is binary and linear regression analysis is used, then the assumption for linear regression analysis that is violated is the "normality of error." This is because binary variables, which take only two values (e.g., 0 and 1), do not follow a continuous normal distribution, and thus, the errors in prediction are not likely to be normally distributed. Linear regression is designed for continuous dependent variables, so it's not ideal for analyzing binary outcomes.

To know more about  linear regression analysis Visit:

https://brainly.com/question/29665935

#SPJ11

The difference of 1200 and 1000 between the two studies means that the second study had 200 more bacteria than the first one.

In the first study, the number of bacteria is modeled by the function b1(t) = 1200(1.5)^t, while in the second study, the number of bacteria is modeled by the function b2(t) = 1000(1.8)^t. The difference of 1200 and 1000 is the initial number of bacteria in the first study, which is 200 more than the second study.

Both studies model the growth of bacteria over time. In the first study, the growth rate is 1.5, while in the second study, it is 1.8. The difference between the two studies can be explained by the difference in the growth rates. A growth rate of 1.8 means that the bacteria will multiply faster than a growth rate of 1.5, resulting in a higher number of bacteria in the second study. However, the initial number of bacteria in the second study was lower than in the first study, resulting in a lower total number of bacteria despite the higher growth rate.

Know more about growth rate  here:

https://brainly.com/question/5954814

#SPJ11

The minimum wage set by the government at $7.50 per hour does not result in a pay cut for unskilled workers, as it is below the equilibrium wage of $8.00 per hour.

The wage rate remains unchanged, and the labor market remains in balance.

The statement is false.

False.

The equilibrium wage in the market for unskilled labor is $8.00 per hour, which means that the market naturally sets the wage rate at this level, based on the forces of supply and demand.

The government then sets a minimum wage at $7.50 per hour.

Since the minimum wage is below the equilibrium wage, it does not directly impact the wage rate for unskilled workers.
The equilibrium wage represents the point at which the supply of labor (the number of workers willing to work at a given wage) equals the demand for labor (the number of workers that employers are willing to hire at a given wage).

In this case, both workers and employers are satisfied with the $8.00 per hour wage, and the labor market is balanced.
The government sets a minimum wage below the equilibrium wage, it essentially sets a wage floor that is not binding. Employers are still willing to pay the equilibrium wage of $8.00 per hour, and workers are still willing to accept this wage.

The wage for unskilled workers remains at $8.00 per hour, and there is no pay cut of 50 cents per hour.

For similar questions on Wages

https://brainly.com/question/29251394

#SPJ11

The given figure is a 2d representation of a 3d figure. If we wrap this figure, we get a building block.

In the figure below, the unknown edges are written:

Now, we have to find the area of all the polygons given in the figure. It consists of two same triangles and three different rectangles.

The area of the two triangles is given below:

Thus, the area of two triangles is 12 cm^2.

We know that the area of a rectangle is length times width. Now, the area of three rectangles is given below:

Thus, the area of three rectangles is 108 cm^2.

So, the total area is 12 + 108 = 120 cm^2.

We're given

\(\displaystyle \int_4^{-10} g(x) \, dx = -3\)

which immediately tells us that

\(\displaystyle \int_{-10}^4 g(x) \, dx = 3\)

In other words, swapping the limits of the integral negates its value.

Also,

\(\displaystyle \int_4^6 g(x) \, dx = 5\)

The integral we want to compute is

\(\displaystyle \int_{-10}^6 g(x) \, dx\)

which we can do by splitting up the integral at x = 4 and using the known values above. Then the integral we want is

\(\displaystyle \int_{-10}^6 g(x) \, dx = \int_{-10}^4 g(x) \, dx + \int_4^6 g(x) \, dx = 3 + 5 = \boxed{8}\)

The experimental research has two key advantages over correlational studies.

1. The possibility of random assignment

2. Causal connections can be assumed.

Correlational studies merely examine the data that already exists, whereas experimental studies give the researcher the opportunity to influence the study's factors. Researchers can make inferences about how changes in one variable affect changes in another through the use of experimental investigations.

The factors in a correlation study are out of the control of the researcher or research team. The researcher merely measures the information she discovers in the outside world. She can then determine whether changes in one are related to changes in the other, or if the two variables are correlated. In such a study, experimenters gather existing data and use statistical methods to examine it, such as economic statistics from governments. The findings of correlation studies can lead to hypotheses that can be verified through a more focused experimental one.

To learn more about correlational research visit:

https://brainly.com/question/14375687

#SPJ4

Answer:

it is 13:7

Step-by-step explanation:

It will take only one pass to find the five on this list 1, 5, 10, 15, 20, 22, 30. It can be determined by linear search. Therefore, option B is correct.

Linear search is also known as sequential search. It is a simple search algorithm used to find an element within a list or array. It involves iterating through each element in the list until the desired element is found or until the end of the list is reached.

If the target element is found, the linear search algorithm typically returns the index or position of the element in the list. If the target element is not found, the algorithm returns a special value to indicate that the element is not present in the list.

Learn more about linear search, here:

https://brainly.com/question/13143459

#SPJ1

Given data:

Hypotheses:

- Null Hypothesis (H0): The process is in order (mean = 2.050 liters).

- Alternative Hypothesis (Ha): The process is out of order (mean ≠ 2.050 liters).

We can calculate the test statistic using the formula:

t = (sample mean - population mean) / (sample standard deviation / sqrt(sample size))

For the first scenario:

Sample mean (x) = 2.050

Sample standard deviation (s) = 0.020

Sample size (n) = 10

t = (2.050 - 2.050) / (0.020 / sqrt(10)

t = 0 / (0.020 / sqrt(10)

t = 0

Since the test statistic (t) is zero, it indicates that there is no difference between the sample mean and the population mean.

Therefore, we fail to reject the null hypothesis and conclude that the process is in order.

For the second scenario:

Sample mean (X) = (2.022 + 1.997 + 2.044 + 2.044 + 2.032 + 2.045 + 2.045 + 2.047 + 2.030 + 2.044) / 10 = 2.0344

Sample standard deviation (s) = 0.01881802 (calculated using the given data)

Sample size (n) = 10

t = (2.0344 - 2.050) / (0.01881802 / sqrt(10)

t = -0.0156 / (0.01881802 / sqrt(10)

t = -0.0156 / 0.00595128

t = -2.617

To interpret the result, we compare the absolute value of the test statistic (|t|) to the critical value for a given significance level.

Assuming a significance level of 0.05 (commonly used), the critical value for a two-tailed test with 10 degrees of freedom is approximately 2.228.

Since |t| = 2.617 > 2.228, we can reject the null hypothesis. Therefore, we conclude that the process is out of order based on the second sample.

Learn more about Mean here:

https://brainly.in/question/54015860

#SPJ11

There are no values of $b$ for which the base-$b$-representation of $2013$ ends in the digit $3$. For a number to end in the digit $3$ in base-$b$ representation, it must be congruent to $3$ modulo $b$.

We can rewrite $2013$ as $2 \cdot 10^3 + 0 \cdot 10^2 + 1 \cdot 10^1 + 3 \cdot 10^0$. Now, if $2013$ is congruent to $3$ modulo $b$, it means that $2 \cdot 10^3 + 0 \cdot 10^2 + 1 \cdot 10^1 + 3 \cdot 10^0$ is also congruent to $3$ modulo $b$.

Simplifying the expression, we have $2000 + 0 + 10 + 3$. Since the base-$b$-representation is formed by multiplying each digit by the corresponding power of $b$, we can rewrite the expression as $2 \cdot b^3 + 1 \cdot b^1 + 3 \cdot b^0$. We can now observe that the constant term $3 \cdot b^0$ will always be congruent to $3$ modulo $b$. However, the other terms $2 \cdot b^3$ and $1 \cdot b^1$ will not be congruent to $3$ modulo $b$ for any positive value of $b$. Therefore, the base-$b$-representation of $2013$ cannot end in the digit $3$ for any value of $b$.

Hence, there are no values of $b$ for which the base-$b$-representation of $2013$ ends in the digit $3$.

Learn more about congruent here:
brainly.com/question/33002682

#SPJ11

Answer: (-6,-4) (-2,-2) (-1,0) (2,6)

Step-by-step explanation:

We can see that points (2,0) and (4,1) isn't plotted on the line

Answer:

The answer is C

Step-by-step explanation:

Because it's going over 3 & up 1. Since it's rise over run it would be 1/3.

The term number for the term with a value of 268 cannot be solved due to insufficient information given. We can see that 4 + 11 = 15 is the common difference between the following words in the sequence.

The formula for the nth term of an arithmetic sequence can be used to determine the term number for the term with the value 268:

a n = a 1 + (n - 1)d

If n is the term number we're looking for, a 1 is the first term, and d is the common difference.

Inputting the values provided yields:

268 = -7 + (n - 1)15

When we simplify and solve for n, we obtain:

275 = 15n

n = 18.33

It must be a positive integer since n stands for the term number. Therefore, we can conclude that the term with a value of 268 is not part of the given sequence.

Hence, the answer is (A) Cannot be solved due to insufficient information given.

Learn more about arithmetic sequence:

https://brainly.com/question/10396151

#SPJ4