In a class of students, the following data table summarizes how many students passed a test and complete the homework due the day of the test. What is the probability that a student chosen randomly from the class passed the test and completed the homework? Passed the test Failed the test Completed the homework 11 3 Did not complete the homework 2 5

Answer:

T = C - (9.95 * 3)

Step-by-step explanation:

The account balance total can be calculated with the following equation where the variable T represents the final balance while the variable C represents her current balance before the three months...

T = C - (9.95 * 3)

The monthly charge is multiplied by the three months that Megan will be charged and then discounted from her current balance in order to give the new Total Balance after paying the subscription for the three months.

In conclusion, to compute the chi-square value, we need to know the number of categories and use the appropriate formula or table to find the critical value. The degrees of freedom (df) will be equal to the number of categories minus one (df = k-1).

In the given question, we need to compute the chi-square value to determine the upper bound of the interval. The chi-square value depends on the degrees of freedom (df). To calculate it, we need to know the significance level (α) and the number of categories (k).

Since the question does not provide information about the number of categories, we cannot determine the exact degrees of freedom. However, we can assume that the number of categories is given, and proceed accordingly.

Assuming k is the number of categories, the degrees of freedom (df) will be (k-1).

For example, if there are 5 categories, the degrees of freedom will be (5-1) = 4.

The chi-square value is computed using a chi-square distribution table or a calculator. By using the significance level (α) and the degrees of freedom (df), we can determine the critical value.

In conclusion, to compute the chi-square value, we need to know the number of categories and use the appropriate formula or table to find the critical value. The degrees of freedom (df) will be equal to the number of categories minus one (df = k-1).

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a. The minimum sample size needed is 601.

b. The minimum sample size needed using a prior study is 304.

c. The difference between the results from parts (b) and (a) shows that a preliminary estimation of the population proportion can lower the necessary minimum sample size.

The signed, fractional number of standard deviations above the mean value that an event is above is expressed by the dimensionless variable known as the z-score. Among other names, it is also referred to as the normal score, z-value, and standard score. Z-scores are indicative of values that are higher than the mean and lower than the mean.

(a) To find the minimum sample size needed assuming that no prior information is available, we can use the formula:

n = (Zα/2)² *\(\hat p \hat q\)/ E²

where Zα/2 is the z-score corresponding to the desired level of confidence (90% confidence corresponds to a z-score of 1.645), \(\hat p\) is the sample proportion (unknown), \(\hat q = 1 - \hat p\), and E is the maximum error of estimation (2% of the true proportion, or 0.02).

Plugging in the values, we get:

n = (1.645)² * 0.5*0.5 / 0.02² ≈ 601

Consequently, 601 is the required minimum sample size.

(b) To find the minimum sample size needed using a prior study that found that 42% of the respondents said they think Congress is doing a good or excellent job, we can use the formula:

n = (Zα/2)² * \(\hat p \hat q\) / E²

where now we have a preliminary estimate of the population proportion, \(\hat p = 0.42, and \hat q = 1 - \hat p.\)

Plugging in the values, we get:

n = (1.645)² * 0.42*0.58 / 0.02² ≈ 304

Therefore, the minimum sample size needed using a prior study is 304.

(c) The result from part (b) is smaller than the result from part (a), indicating that having a preliminary estimate of the population proportion can reduce the minimum sample size needed. This is because a preliminary estimate can provide a starting point for the sample size calculation, and reduce the variability of the sampling distribution.

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Y = -0.0063e0.16x + 99.97 is the exponential regression equation for the data, where x is the time in minutes and y is the temperature of the soup.

Calculate the x and y means in step one.

X's average: (0 + 10) / 2 = 5.

(95 + 88.5) / 2 = 91.75 is the mean of y.

Calculate the variance and covariance in step two.

(-5 6.5) + (5 -2.5) = 32.5 is the covariance.

X's variation is (5 0).

2 + (10 − 0)2 = 125

Calculate the regression coefficients in step three.

x = -32.5 / 125 = -0.26 where a = Covariance / Variance of x

Mean of x = 91.75 (-0.26 5) = 99.97 where b = Mean of y a Mean of x

Step 4: Compose the equation for exponential regression.

y = -0.0063e^0.16x + 99.97

Y = -0.0063e0.16x + 99.97 is the exponential regression equation for the data, where x is the time in minutes and y is the temperature of the soup. We must first determine the means of x and y before we can solve the problem. By summing the first and last values of x and dividing by 2, the mean of x is 5 and the mean of y is 91.75. (calculated by adding the first and last y values and then dividing by 2).

Calculating the covariance and variance comes next. The difference between each x and the mean of x is multiplied with the difference between each y and the mean of y to determine the covariance. By squaring the difference between each x and the mean of x, the variance of x is determined. The regression coefficients a and b can be determined when the covariance and variance have been computed.

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The perimeter of the rectangle is 60 cm.

We have,

The square perimeter = 20 cm

This means,

Each side of the square = 20/4 = 5 cm

Now,

From the rectangle figure,

Length = 5 + 5 + 5 + 5 = 20 cm

Width = 5 + 5 = 10 cm

So,

The perimeter of the rectangle.

= 2 (length + width)

= 2 x (20 + 10)

= 2 x 30

= 60 cm

Thus,

The perimeter of the rectangle is 60 cm.

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Answer:

1: 2x + y = 24

2: x - 3y = 54

Step-by-step explanation:

Answer:

\( y = - 3. \\ x = - 13.5\)

Step-by-step explanation:

\(equation 1: -x/3 - y/6 = -4 \: \: = - \frac{x}{3} - \frac{y}{6} = - 4 \\ \\

equation 2: -x/6 + y/2 = -9 \: \: = - \frac{x}{6} + \frac{y}{2} = - 9 \\ \\ - \frac{x}{3} - \frac{y}{6} = - 4 \\ - 6x - 3y = - 72 ...(eq3.) \\ \\ - \frac{x}{6} + \frac{y}{2} = - 9 \\ - 2x + 6y = - 9...(eq4.) \\ \\ \\ 2 \times - 6x - 3y = - 72 ...(eq3.) = > - 6y = -1 44 \\6 \times - 2x + 6y = - 9...(eq4.)= > - 36y = -54 \\ - 6y - ( - 36y) = - 144 - ( - 54) \\ 30y = - 90 \\ y = - \frac{90}{30} \\ y = - 3. \\ x = - 13.5

\)

Answer:

(8,3) = {4,5,6,7}

(0,3) = {1,2}

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Using the distance formula, you would get this answer.

Distance formula:  square root of (2−1)^2 + (2−1)^2

Answer:

your answer is option B)0

Step-by-step explanation:

bye!!

Answer:

\(-24x^7z^5\)

Step-by-step explanation:

Multiply the numbers

\(-6x^3z^3*4x^4z^2\)

\(-24x^3z^3x^4z^2\)

Combine exponents

\(-24x^3z^3x^4z^2\)

\(-24x^7z^3z^2\)

Combine exponents

\(-24x^7z^3z^2\)

\(-24^7z^5\)

Solution

\(-24^7z^5\)

[RevyBreeze]

Answer: Sophia is Incorrect

Step-by-step explanation:

23 degrees lower than 0 = -23 degrees

14 degrees lower than 0 = -14 degrees

-23 is less than -14 because it is farther to the left on the numberline than 0. This means Sophia is incorrect because she wrote that -14 is less than -23 (-14 > -23), the correct answer is -14 is greater than -23 (-23<-14)

Please tell me if I'm wrong :)

Answer:

x = 3

Step-by-step explanation:

x+5=8

x+5-5=8-5

X=3

Answer:

x = 3

Step-by-step explanation:

basically 2 ways

1st: Transposing

1) x + 5 = 8

2) transpose or transfer +5 to the other side

NOTE: transposing numbers and variables switches the signs (positive -> negative and vice versa)

3) x = 8 - 5

x = 3

2nd: Property of Equality (whatever u do one one side, you do the same to the other)

1) x + 5 = 8

2) x + 5 - 5 = 8 - 5

x = 3

the main focus is to isolate x, or to make it be alone in one side of the equation

The temperature will be represented by the negative number -21.7 degrees.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that the quantity is a positive or negative number the record low temperature for a date is 21.7 degrees below zero.

T = 0 - 21.7

T = -21.7 degrees

Therefore, the temperature will be represented by the negative number -21.7 degrees.

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Answer:

f = 10

Step-by-step explanation:

find out the constant of variation 'k':  F = k/\(\sqrt{g}\)

8 = k/ \(\sqrt{25}\)

k = 8 · 5

k = 40

f = 40/\(\sqrt{16}\)

f = 40/4

f = 10

Answer:

He does not have enough money for the second veggie cups, he's just about a dollar fifty short.

Step-by-step explanation:

By doing the math problem, you'll see that he is 1.48 short of having the necessary amount of money. Not enough to buy everything he wants.

Answer:

Ill help you!!

Step-by-step explanation:

George did not put parentheses around the total snack amount to be subtracted from his $15. He needed to total the purchases and then subtract that amount from $15. (this is the sample response)

Answer:

B

Step-by-step explanation:

M is a factor of N and \((1+r)^t\), which is not influenced by N. This is because N is just the initial amount of people, and does not change no matter the rate of new members. Hope this helps!

The total number of four-digit parity-monotonic integers is 432*1 = 24.

We can solve this problem by counting the number of parity-monotonic integers in each of the four digits individually and then multiplying the counts together.

By counting the possible values of \($a_1$\), \($a_2$\), \($a_3$\) and \($a_4$\) independently, we have:

Thus, the total number of four-digit parity-monotonic integers is 432*1 = 24.

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Answer:

90%

Step-by-step explanation:

Answer:

281

Step-by-step explanation:

12*4 rectangle 2  times because theres 2 of the same surfaces

5*4 rectangle 2 times

12*5 rectangle on the bottom surface 1 time

4 triangle surfaces of (5*5)/2

7*5 rectangle on top

add and you get 281

Answer:

C. \(y = 2\cdot x\)

Step-by-step explanation:

The measure of the inscribed angle (\(x\)), in angular units, is directly proportional to the measure of the intercepted arc (\(y\)), in length units:

\(y \propto x\)

\(y = k\cdot x\) (1)

Where \(k\) is the proportionality ratio, in length units per angular unit.

Hence, correct answer is \(y = 2\cdot x\). (Correct answer: C)

Answer:

she can never have an average less than $50 b. ... If demand of gasoline is inelastic, more of the burden of tax can be ...

Step-by-step explanation:

the answer

155

324

5/9 (87/3(1/12)= 155/324

If the team has probabilities 0.5, 0.1, and 0.4 of a win, tie, or loss for their first game respectively, then the probability that they will win their third game 0.526.

In the given question,

If the team has respective probabilities 0.4, 0.5, and 0.1 of a win, tie, or loss for their first game respectively, then we have to find the probability that they will tie their third game.

We obtain the two step transition probability matrix here as:

P^2 =  \(\left [ \begin{matrix}0 &0 &1 \\ 0.1 &0.5 &0.4 \\ 0.9 &0.1 &0 \end{matrix} \right ]\left [ \begin{matrix}0 &0 &1 \\ 0.1 &0.5 &0.4 \\ 0.9 &0.1 &0 \end{matrix} \right ]\)

P^2 = \(\left [ \begin{matrix}0.9 &0.1 &0 \\ 0.41 &0.29 &0.3 \\ 0.01 &0.05 &0.94 \end{matrix} \right ]\)

Using this, for the given current probability vector of (0.1, 0.5, 0.4) for loss, tie and win respectively, we get the final vector as:

bP^2 = (0.1, 0.5, 0.4) \(\left [ \begin{matrix}0.9 &0.1 &0 \\ 0.41 &0.29 &0.3 \\ 0.01 &0.05 &0.94 \end{matrix} \right ]\)

bP^2 = (0.299, 0.175, 0.526)

Therefore probability that win the third game is given here as: 0.526.

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The right question is:

A football team either wins, ties, or losses each game. If they lose a game, their probability of winning the next game is 1 and their probability of losing the next game is 0. If they tie a game, their probability of winning the next game is 0.4 and their probability of losing the next game is 0.1. If they win a game, their probability of winning the next game is 0 and their probability of losing the next game is 0.9. Write all answers as integers or decimals.

If the team has respective probabilities 0.4, 0.5, and 0.1 of a win, tie, or loss for their first game respectively, what is the probability that they will tie their third game?

Synthetic division is a method used to divide a polynomial by a linear factor. It is a simplified form of polynomial long division and is particularly useful when dividing by linear factors of the form (x - c).

Here are the steps to perform synthetic division:

Step 1: Write down the polynomial in descending order of powers. If there are missing terms, insert a placeholder with a coefficient of zero for that term.

Step 2: Identify the linear factor of the form (x - c), where 'c' is the divisor. Set up the division problem by writing 'c' on the outside of a division symbol and the coefficients of the polynomial on the inside.

Step 3: Bring down the first coefficient of the polynomial (the coefficient of the highest power).

Step 4: Multiply the divisor 'c' by the value you brought down and write the result below the next coefficient of the polynomial.

Step 5: Add the result from the previous step to the next coefficient and write the sum below the line.

Step 6: Repeat steps 4 and 5 until you have gone through all the coefficients.

Step 7: The number in the bottom row, at the right end, is the remainder. The numbers in the other positions represent the coefficients of the quotient polynomial.

Let's go through an example to illustrate these steps:

Example: Divide the polynomial P(x) = 3x^3 - 4x^2 + 2x - 1 by (x - 2).

Step 1: P(x) = 3x^3 - 4x^2 + 2x - 1

Step 2: Divisor: (x - 2)

  --------------

  2  |  3   -4   2   -1

       |  

Step 3: Bring down the first coefficient: 3

       --------------

  2  |  3   -4   2   -1

       |   6

Step 4: Multiply the divisor (2) by the value brought down (3): 2 * 3 = 6

       --------------

  2  |  3   -4   2   -1

       |   6

Step 5: Add the result to the next coefficient: -4 + 6 = 2

        --------------

  2  |  3   -4   2   -1

       |   6    2

Step 6: Repeat steps 4 and 5 for the remaining coefficients:

        --------------

  2  |  3   -4   2   -1

       |   6    2   8

Step 7: The remainder is 8, and the coefficients of the quotient polynomial are 6, 2, and 8. Therefore, the quotient is 6x^2 + 2x + 8, and the remainder is 8.

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Answer:

Alex deleted 45 selfies.

Answer:

I Didnt mean to answer sorry i cant help

I dont know

How Go back Srry Again

Answer:

We need to just focus on first adding up the two numbers inside of the first parenthesis to see if we get our answer.

\(4(2.1 + 3.1) - 2(1.4)\)

\(4(5.2) - 2(1.4)\)

This proves that option B is a solution and since we can only choose one option that means that we have our answer.

Hope this helps!  Let me know if you have any questions

The value of 3 - 2 is 1.To solve the system of simultaneous equations we need to represent the equations in matrix form, and then solve for the variable vector using matrix operations.

To find the value of 3 - 2, we simply subtract 2 from 3, which gives us 1.

For the system of simultaneous equations, we can represent the equations in matrix form as follows:

Coefficient matrix:

[1 2 -1]

[3 5 -1]

[-2 -1 -2]

Constant vector:

[6]

[2]

[4]

Using the matrix method, we can solve for the variable vector (x, y, z) by performing matrix operations. We need to find the inverse of the coefficient matrix and multiply it by the constant vector:

Variable vector:

[x]

[y]

[z]

To find the inverse of the coefficient matrix, we can use matrix operations or other methods such as Gaussian elimination or matrix inversion techniques. Once we have the inverse, we multiply it by the constant vector to obtain the variable vector (x, y, z) which represents the solution to the system of equations.

Please note that the detailed calculation steps for finding the inverse and solving the system of equations may vary depending on the method used.

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