Can someone help me on this

In order to solve a problem that begins with a negative number and is divided by a positive number, the answer must also be negative.

Divide 21 ÷ 7

we get = 3

Mark it as negative number = -3

Hope this helps :)

The hypothesis is called the alternative hypothesis test.

According to the statement

We have to explain about the alternative hypothesis.

So, For this purpose, we know that the

The alternative hypothesis is one among ll|one amongst |one in every of} two mutually exclusive hypotheses in a hypothesis test. the choice hypothesis states that a population parameter doesn't equal a specified value.

From the given information:

she randomly selects houses during this neighborhood and compares their estimated market price within the current year to their estimated value within the previous year. suppose that data were collected for a random sample of 8 houses, where each difference is calculated by subtracting the market price of the previous year from the value of the present year.

Then

the alternative hypothesis test usually suggests that there's an opportunity of variation (difference) within the data observed.

Hence, since we are told the "real real estate agent believes that the values of homes within the neighborhood she works in have increased (the chance of variation) from last year," which "each difference is calculated by subtracting the market price of the previous year from the market price of this year," we are able to reach the conclusion that this can be an example of an alternate hypothesis test.

So, The hypothesis is called the alternative hypothesis test.

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Answer:

Step-by-step explanation:

ANSWER: 16x+=92

Henry opens a savings account with an annual interest rate of 4.5 percent. After a year, he gets $75,000 in payment. He made a deposit into the savings account of $72,831.68.

Here are the steps on how to calculate the amount Henry invested:

Convert the annual interest rate to a monthly rate.

\(\begin{equation}4.5\% \div 12 = 0.375\%\end{equation}\)

Calculate the number of years.

\(\begin{equation}\frac{18 \text{ months}}{12 \text{ months/year}} = 1.5 \text{ years}\end{equation}\)

Use the compound interest formula to calculate the amount Henry invested.

\(\begin{equation}FV = PV * (1 + r)^t\end{equation}\)

where:

FV is the future value ($75,000)

PV is the present value (unknown)

r is the interest rate (0.375%)

t is the number of years (1.5 years)

\(\begin{equation}\$75,000 = PV \cdot (1 + 0.00375)^{1.5}\end{equation}\)

\$75,000 = PV * 1.0297

\(\begin{equation}PV = \frac{\$75,000}{1.0297}\end{equation}\)

PV = \$72,831.68

Therefore, Henry invested \$72,831.68 in the savings account.

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In trigonometry, it should be noted that the value of sin(-5pi/6) is -0.5.

In order to find the value, we can use the following steps:

Draw a unit circle and mark an angle of -5pi/6 radians.

The sine of an angle is represented by the ratio of the opposite side to the hypotenuse of the triangle formed by the angle and the x-axis.

In this case, the opposite side is 1/2 and the hypotenuse is 1.

Therefore, sin(-5pi/6) will be:

= 1/2 / 1

= -0.5.

We can also use the following identity to find the value of sin(-5pi/6):

sin(-x) = -sin(x)

Therefore, sin(-5pi/6)

= -sin(5pi/6)

= -0.5.

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The solution to the inequality is all values of x less than 5. We can write the solution set using interval notation as (-∞, 5).

To solve the inequality -5x - 3 + 2x > -18, we need to isolate the variable x on one side of the inequality sign.

Starting with the given inequality:

-5x - 3 + 2x > -18

Simplifying the left-hand side by combining the like terms:

-3x - 3 > -18

Adding 3 to both sides:

-3x > -15

Dividing both sides by -3, and reversing the inequality sign since we are dividing by a negative number:

x < 5

Therefore, the solution to the inequality is all values of x less than 5. We can write the solution set using interval notation as (-∞, 5).

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An experimental study is used in the given situation.

Observational Study is defined as the type of study where there is no influence on the response of the participant.

Experimental Study is defined as the type of study where the participant is put into a setup and then the participants are observed .

In the given question ,

As the individual are first categorized into to two groups , one on a healthy, moderate diet and the other group not on any diet.

So, we can see that in this a setup has been created , they are put in different conditions  , and then they are observed .

Therefore ,  an experimental study is used in the given situation.

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The part of a line that has one endpoint and can be extended infinitely in one direction is called a ray.

A ray is part of a line that starts at an endpoint and continues infinitely in one direction. It can be thought of as a beam of light or a straight path that extends indefinitely.

To visualize a ray, imagine drawing a line with an arrow at one end. The arrow indicates the direction in which the ray extends infinitely. The other end of the line is the endpoint of the ray.

It's important to note that a ray only has one endpoint and extends infinitely in one direction. This means that the other end of the ray doesn't have an endpoint and continues indefinitely.

For example, if we have a line segment AB, we can create a ray by extending it from one of its endpoints, let's say A, in the direction away from B. This would result in a ray that we can call ray AB.

In summary, a ray is part of a line that starts at an endpoint and extends infinitely in one direction. It is often represented by a line segment with an arrow at one end to indicate the direction of extension.

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To find the difference in the number of cups of sugar used to bake 9 batches of cookies compared to 3 batches of cookies, we need to calculate the amount of sugar used for each case.

From the table, we can see that:

- For 1 batch of cookies, Sonya uses 2-7 cups of sugar.

- For 2 batches of cookies, Sonya uses 47/17 cups of sugar.

- For 3 batches of cookies, Sonya uses 6²2/2 cups of sugar.

To calculate the amount of sugar used for 9 batches of cookies, we can use the pattern observed in the given values:

- For 4 batches of cookies, Sonya uses 2-7 cups of sugar.

- For 5 batches of cookies, Sonya uses 47/17 cups of sugar.

- For 6 batches of cookies, Sonya uses 6²2/2 cups of sugar.

- For 7 batches of cookies, Sonya uses 2-7 cups of sugar.

- For 8 batches of cookies, Sonya uses 47/17 cups of sugar.

- For 9 batches of cookies, Sonya uses 6²2/2 cups of sugar.

Therefore, to find the difference in the number of cups of sugar used to bake 9 batches of cookies compared to 3 batches of cookies, we subtract the amounts:

Amount of sugar for 9 batches - Amount of sugar for 3 batches

[(2-7) + (47/17) + (6²2/2)] - [(2-7) + (47/17) + (6²2/2)]

Simplifying the expression, we get:

[(2-7) + (47/17) + (6²2/2)] - [(2-7) + (47/17) + (6²2/2)]

= 6²2/2 - 6²2/2

= 0

Therefore, the correct answer is:

d) 19 1/4

There is no difference in the number of cups of sugar used to bake 9 batches of cookies compared to 3 batches of cookies.

22=4 square root 2

Step-by-step explanation:

Using Pythagorean Theory

The average time Americans spend watching TV per day is reported to be approximately 300 minutes, following a normal distribution with a standard deviation of 26 minutes.

To address this question, we can use the provided information to describe the distribution of minutes per day spent watching TV by Americans.

Given that the distribution follows a normal distribution, we can assume that the data is symmetrically distributed around the mean. The mean of the distribution is given as 300 minutes.

The standard deviation, which measures the spread of the data, is stated as 26 minutes. This indicates that most people fall within one standard deviation of the mean.

Using the properties of a normal distribution, we can make various probabilistic statements. For example, approximately 68% of Americans would spend between 274 minutes (mean - 1 standard deviation) and 326 minutes (mean + 1 standard deviation) watching TV per day.

By understanding the characteristics of the normal distribution and the provided parameters (mean and standard deviation), we can analyze and make predictions about the amount of time Americans spend watching TV on a daily basis.

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Answer:

\(y = - \frac{4}{3} x + 2\)

Step-by-step explanation:

Linear algebra

Answer:

y=-4/3x+2

Step-by-step explanation:

The correct set of possible results would be (0, 1, 0, 0), (1, 2, 1, 0) and (1, 2, 0, 1).

Your approach seems to be correct, but there seems to be a minor mistake in your final list of possible solutions. Let's go through the steps to clarify.

Given the initial conditions z=t=0, you obtained a partial solution (0,1,0,0).

Next, you solved the homogeneous equations for z=1 and t=0, which resulted in a solution (1,1,1,0).

Similarly, solving the homogeneous equations for z=0 and t=1 gives another solution (1,1,0,1).

To find the general solution, you combine the partial solution with the solutions obtained in the previous step, using parameters a and b.

(0,1,0,0) + a(1,1,1,0) + b(1,1,0,1)

Expanding this expression, you get:

(0+a+b, 1+a+b, 0+a, 0+b)

Simplifying, you obtain the following set of solutions:

(0, 1, 0, 0)

(1, 2, 1, 0)

(1, 2, 0, 1)

Therefore, the correct set of possible results would be:

(0, 1, 0, 0)

(1, 2, 1, 0)

(1, 2, 0, 1)

Note that (0, 1, 1, 1) is not a valid solution in this case, as it does not satisfy the initial condition z = 0.

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Answer:-55

Step-by-step explanation:

-11 times 5= -55

Ans - The random variable, x, represents the number of 1's showing when rolling 4 fair standard 9-sided dice , and The possible numerical values for x, in ascending order, are 0, 1, 2, 3, and 4.

When rolling a fair standard 9-sided die, the numbers that can appear are 1, 2, 3, 4, 5, 6, 7, 8, and 9. We want to determine how many 1's show up when rolling 4 dice.

Let's consider each possibility:

1. No 1's: This means that none of the 4 dice shows a 1. In this case, x would be 0.

2. One 1: One of the 4 dice shows a 1, while the other 3 dice show numbers other than 1. We can choose any of the 4 dice to be the one showing a 1, so there are 4 possibilities. In this case, x would be 1.

3. Two 1's: Two of the 4 dice show a 1, while the other 2 dice show numbers other than 1. We can choose any 2 dice to show a 1, so there are (4 choose 2) = 6 possibilities. In this case, x would be 2.

4. Three 1's: Three of the 4 dice show a 1, while the remaining die shows a number other than 1. We can choose any 3 dice to show a 1, so there are (4 choose 3) = 4 possibilities. In this case, x would be 3.

5. Four 1's: All 4 dice show a 1. There is only 1 possibility in this case. In this case, x would be 4.

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Answer:

3. +4 get the number on the right. use division to isolate the variable. 7x. = 7. ® ... exs if x=9 y = 3 (9)²-66 y = 2/3 (81)-6 y = 54-6 y = 48 (again) if x=-6 or co, y = 18.

Step-by-step explanation:

R = -7

Therefore, when A = 3 and B = 5, the value of R in the equation is -7.

Let's break down the equation step by step to determine the value of R when A = 3 and B = 5.

The equation we are given is:

R = A - 2B

Substituting the values A = 3 and B = 5 into the equation, we have:

R = 3 - 2(5)

To simplify the equation, we need to perform the multiplication first.

2 multiplied by 5 is equal to 10:

R = 3 - 10

Now, we can subtract 10 from 3:

R = -7

Therefore, when A = 3 and B = 5, the value of R is -7.

In summary, to determine the value of R, we substituted the given values of A = 3 and B = 5 into the equation. Then, we performed the necessary multiplication and subtraction operations to arrive at the final result of R = -7.

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The expression is multiplied to give 1728x^6

Index forms are simply defined as the power or exponent of a variable, number or element.

It is also seen as an arithmetic method of writing numbers that are too large or too small into simpler forms.

The rules of exponents are;

Given the expression;

2^3x^3.6^3x^3

We have to determine the product of the index forms

First, we have to multiply the numbers, we have;

2^3 = 2 × 2 × 2 = 8

6^3 = 6 × 6 × 6 = 216

Now, substitute the values

8x³ × 216x³

Multiply through

1728x^3 + 3

1728x^6

Thus, the value is 1728x^6

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Answer:

Meeeeeeee, I want to be your FRIEND!!! I don't have any.

I love friends and it's always nice to have someone that has your back at all times. It's also nice to have someone who shares the greatest moments with you and someone who truly cares for you. I can be your friend if you want to, but you don't have to accept me as a friend if you don't want to, but either way please don't judge this message. I didn't do it because I like you, I did it to be a nice person. Hope you're having a wonderful afternoon and have fun. Enjoy the last day of your Thanksgiving Break!!! ☺️ ☺️ ☺️ ☺️ ☺️ ☺️ ☺️ ☺️ ☺️ ☺️ ☺️ ☺️ ☺️

There are no free variables, the vectors are linearly independent.

To either show that the following sets of vectors are linearly independent or find a linear relation between them, we can follow these steps:

. Form a matrix using the given vectors as columns.
. Calculate the determinant of the matrix (if it's a square matrix) or row reduce to echelon form.
. If the determinant is non-zero or the matrix has no free variables, the vectors are linearly independent. If the determinant is zero or the matrix has free variables, the vectors are linearly dependent, and we can find a linear relation.

(a) Create the matrix A using the given vectors:
A = | 1 0 1 |
     | 1 1 0 |
     | 0 1 1 |
The determinant of A is:
det(A) = 1(1(1) - 1(0)) - 0(1(1) - 1(0)) + 1(1(0) - 1(1)) = 1 - 1 = 0
Since the determinant is zero, the vectors are linearly dependent.

(b) Create the matrix B using the given vectors:
B = | 2  0 -1 |
     | 1  1  2 |
     | 0  0  0 |
Row reduce B to echelon form:
B = | 1  1  2 |
     | 0  1 -4 |
     | 0  0  0 |

Since there are no free variables, the vectors are linearly independent.

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Answer:

\(12 \times 10^8\) dollars

Step-by-step explanation:

Given that:

Number of employees = \(3.0\times 10^4\)

Money earned by each employee = \(4.0\times 10^4\)

To find:

Money to be paid out by Sunny Motors to its employees.

Solution:

Here, we are given the number of employees in the company and the salary to be paid out to each employee.

We can find out the total money to be paid out simply by multiplying the total number of employees by the salary to be paid out to each employee.

Total money to be paid out = \((3\times 10^4) \times (4\times 10^4)\)

Using Formula:

\((x^a) \times (x^b) = x^{(a+b)}\)

Total money to be paid out = \((3\times 10^4) \times (4\times 10^4) = 12\times 10^{(4+4)} = 12\times 10^8\ dollars\)

(a) Since the sample size is large (n=105) and the population standard deviation is known, we can use a z-test.

The test statistic is calculated as:

z = (x - μ) / (σ / sqrt(n))

where x is the sample mean, μ is the hypothesized population mean, σ is the population standard deviation, and n is the sample size.

Plugging in the values given in the problem, we get:

z = (16 - 15.8) / (1.1 / sqrt(105)) ≈ 1.35

So the test statistic is z = 1.35.

(b) Since the sample size is small (n=20) and the population standard deviation is unknown, we can use a t-test.

The test statistic is calculated as:

t = (x - μ) / (s / sqrt(n))

where x is the sample mean, μ is the hypothesized population mean, s is the sample standard deviation, and n is the sample size.

Plugging in the values given in the problem, we get:

t = (16 - 15.8) / (1.4 / sqrt(20)) ≈ 0.76

So the test statistic is t = 0.76.

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The correct answer is k+3 ke-2.

To determine which formula is not equivalent to the other two, we can compare each formula step-by-step. Let's analyze each formula:

1. (-1k-3 k +3 k+ 4 ks4
2. k+3 ke-2
3. k-3 ks4

Starting with formula 1, we can see that it consists of three terms: -1k-3, k+3, and k+4ks4. Each term is separated by a space.

Moving on to formula 2, we have k+3ke-2. This formula also consists of three terms: k+3, k, and e-2. In this case, we have a variable (k) combined with two different exponents (3 and -2).

Finally, formula 3 is k-3ks4. It consists of two terms: k-3 and ks4. Again, each term is separated by a space.

Comparing the three formulas, we can see that formula 1 has three terms, while formulas 2 and 3 have two terms each. Additionally, formula 1 includes the term k+4ks4, which is not present in formulas 2 and 3.

Therefore, the formula that is not equivalent to the other two is k+3 ke-2.

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Answer: 97ft

Step-by-step explanation:

Pythagore

Strip^2 = 65^2 + 72^2 = 9409

Strip = squareroot 9409 = 97 ft

1. The sample mean is 20 and the sample standard deviation is 0.254. 2. The sample mean is 71, the margin of error is 3.520, and the sample standard deviation is 2.056.

1. The sample mean (\(\bar x\)) can be calculated as the midpoint of the confidence interval:

\(\bar x\) = (18.985 + 21.015) / 2 = 20

The standard deviation (s) can be estimated using the formula for the margin of error:

Margin of error = (Upper limit - Lower limit) / (2 * t)

Since the confidence interval is based on a t-distribution, we need the critical value of t for a 95% confidence level with 35 degrees of freedom (36 - 1):

t = 2.030

Substituting the values into the formula:

Margin of error = (21.015 - 18.985) / (2 * 2.030) = 0.515

The standard deviation can be estimated by dividing the margin of error by the t-value:

s = Margin of error / t = 0.515 / 2.030 = 0.254

Therefore, the sample mean is 20 and the sample standard deviation is 0.254.

2. The sample mean (\(\bar x\)) can be calculated as the midpoint of the confidence interval:

\(\bar x\) = (65 + 77) / 2 = 71

To calculate the margin of error, we need to find the critical value of t for a 90% confidence level with 24 degrees of freedom (25 - 1):

t = 1.711

The margin of error can be calculated using the formula:

Margin of error = (Upper limit - Lower limit) / (2 * t) = (77 - 65) / (2 * 1.711) = 3.520

The sample standard deviation (s) can be estimated by dividing the margin of error by the critical value of t:

s = Margin of error / t = 3.520 / 1.711 = 2.056

Therefore, the sample mean is 71, the margin of error is 3.520, and the sample standard deviation is 2.056.

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The function f(x) = \(5(3)^x+3\) is continuous everywhere on its domain, which is (-∞, ∞).

The function f(x) =  \(5(3)^x+3\)   is continuous everywhere because it is an exponential function with a base of 3, which is a positive number. Exponential functions with positive bases are continuous over their entire domain.

To see why, consider the definition of continuity: a function f(x) is continuous at a point x = c if the limit of f(x) as x approaches c exists and is equal to f(c). For an exponential function with a positive base, as x approaches c, the function values either increase to infinity or decrease to 0, depending on whether the exponent is positive or negative, respectively. In either case, the limit exists and is equal to the function value at c, so the function is continuous at c. Since this holds for all points in the domain, the function is continuous everywhere it is defined.

The domain of f(x) is all real numbers, so the function is continuous on the interval (-infinity, infinity), or in interval notation, the domain is (-∞, ∞).

In summary, the function f(x) = 5(3)ˣ +3 is continuous everywhere on its domain, which is (-∞, ∞).

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If we change x by -0.7, we can expect the value of f(x) to decrease by approximately 2.1 units.

Assuming you meant to say "let f be a differentiable function where f(9) = 4 and f'(9) = 3. If we change x by -0.7 and we change y by 0.3, then we can expect the value of f(x) to change by approximately what amount?"

Using the linear approximation formula, we have:

\(Δf(x) ≈ f'(9) Δx\)

where Δx = -0.7 and we want to find Δf(x) when Δy = 0.3.

We can rearrange the formula to solve for Δf(x):

\(Δf(x) ≈ f'(9) Δx\)

Δf(x) ≈ 3(-0.7)

Δf(x) ≈ -2.1

This means that if we change x by -0.7, we can expect the value of f(x) to decrease by approximately 2.1 units. However, this is only an approximation based on the linear behavior of the function near x = 9, so it may not be exactly accurate for large changes in x.

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The total cost at Store #2 is the lowest due to the combination of the 15% discount, 8% tax, and no shipping and handling fee.

Store #1 SHO

Original price: $98

Discount: 18%

Discounted price: $80.04

Tax: 8%

Total price: $86.44

Store #2

Original price: $98

Discount: 15%

Discounted price: $83.10

Tax: 8%

Total price: $89.78

Store #3

Original price: $105

Discount: 10%

Discounted price: $94.50

Tax: 0%

Shipping & Handling: $3.99

Total price: $98.49

Therefore, Store #2 has the best deal on the snow jacket, with a total price of $78.37 after discounts and taxes are applied.

The best deal for the snow jacket is at Store #2. After applying the discounts and taxes, the total price of the jacket is $78.37. The original price at Store #2 is $98 and the discount is 15%, bringing the discounted price to $83.10. The tax is 8%, bringing the total price to $89.78. Store #1 has an 18% discount and an 8% tax, resulting in a total price of $86.44. Store #3 has a 10% discount, no tax and a $3.99 shipping and handling fee, resulting in a total price of $98.49. Therefore, Store #2 is the best deal.

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