PLEASE HELP NOW
Rewrite the equation in Ax+By=C form.
Use integers for A, B, and C.
y+6=5(x-3)
2

Answer:

The relation is 'a function that is one-to-many'.

Step-by-step explanation:

From the table, we can see that element 10 i.e. y=10 in the range, corresponds to two elements i.e. x=-5, and x=5 in the domain.

In other words, the given table represents the many-to-one function as an element of the range y = 10 corresponds to more than one element in the domain.

Therefore, the relation is 'a function that is one-to-many'.

The statements that best describe the relation shown in Item 1 is one to many. Option C is correct

Functions are represented as mappings to relate the domain of the given function with the co-domain.

For instance, the function y= x + b has a domain of x and the codomain of "y"

Mappings can be one to one, where each value of the domain is a unique value in the co-domain

Many to one where one element in the domain have more than one element in the codomain

From the given table, we can see that when y = 10, the corresponding x values are 5 and -5. his shows that the codomain value (10) has more than one unique value in the domain.

Hence the statements that best describe the relation shown in Item 1 is a one to many

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Answer:

Option D

Step-by-step explanation:

The correct answer is option (d): 21 oz < μ < 23 oz.

To construct a confidence interval for the population mean, we can use the formula:

Confidence Interval = sample mean ± (critical value) × (standard deviation / √sample size)

In this case, we are given the following information:

Sample size (n) = 136

Sample mean (x) = 22 ounces

Population standard deviation (σ) = 3.2 ounces

Confidence level = 98% (which corresponds to an alpha level of 0.02)

First, we need to determine the critical value, which is based on the confidence level and the sample size. Since the sample size is large (n > 30), we can use the Z-distribution to find the critical value. The Z-score corresponding to a 98% confidence level and a two-tailed test can be found using a Z-table or a statistical calculator. The critical value for a 98% confidence level is approximately 2.33.

Now we can calculate the margin of error using the formula:

Margin of Error = (critical value) × (standard deviation / √sample size)

= 2.33 × (3.2 / √136)

≈ 2.33 × (3.2 / 11.66)

≈ 2.33 × 0.275

≈ 0.64175

Next, we can construct the confidence interval by adding and subtracting the margin of error from the sample mean:

Confidence Interval = 22 ± 0.64175

= (22 - 0.64175, 22 + 0.64175)

≈ (21.35825, 22.64175)

Finally, we can round the values to an appropriate number of decimal places, resulting in the 98% confidence interval for the population mean:

21 oz < μ < 23 oz

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Answer:

The question is incomplete

Answer: 5 9/20

Step-by-step explanation: 46/5 - 15/4

9 1/5 - 3 3/4

Answer:

D

Step-by-step explanation:

\(f(x)=\frac{1}{x+5} -1\\let~f(x)=y\\y=\frac{1}{x+5} -1\\flip~x~and~y\\x=\frac{1}{y+5} -1\\x+1=\frac{1}{y+5} \\y+5=\frac{1}{x+1} \\y=\frac{1}{x+1} -5\\f^{-1}(x)=\frac{1}{x+1} -5\\x+1\neq 0\\x\neq -1\)

The system formed by linear equations - 8 · x + 8 · y = 1 and - 32 · x + 32 · y = - 5 has no solution.

In this problem we find a system formed by two linear equations with two variables. There are three kinds of systems of linear equations:

First, write the system of linear equations:

- 8 · x + 8 · y = 1

- 32 · x + 32 · y = - 5

Second, multiply the first equation by 4:

- 32 · x + 32 · y = 4

Third, use transitive property:

4 = - 5 (CRASH!)

The system of linear equations has no solution.

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The length of BC rounded to 3 significant figures is approximately 3.62 units.

We can use trigonometric function to find the length of BC. First, we can use the fact that ∠CAB = 90° to determine that ∠ACB = 25° (since the angles in a triangle sum to 180°).

Next, we can use the law of sines to relate the lengths of the sides and angles of the triangle:

sin(∠ABC) / AB = sin(∠ACB) / BC

Substituting in the values we know:

sin(65°) / 8.6 = sin(25°) / BC

Solving for BC:

BC = sin(25°) × 8.6 / sin(65°) ≈ 3.62

Rounding to 3 significant figures, we get BC ≈ 3.62 units

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Answer:negative

Step-by-step explanation:

Because it should be on the bottom left corner if you are using a graph it is different in each corners of the graph. There is four sides for the graph.

The fencing needed to keep our rabbits is approximately 44 meters

Given that a circle garden has an area of 25π and the radius is increased by 2 meters and fencing is sold only in one meter section. We need to find how much fencing is needed to keep our rabbits.

Step 1: Area of a circle is given by:

A = πr²

where

r is the radius of the circle garden.

So, the area of circle garden with radius r is given by:

25π = πr²

Dividing both sides by π,

we get:

r² = 25r = ± 5

The radius cannot be negative.

So, r = 5 m

Step 2: When the radius is increased by 2 m, the new radius is:

r + 2 = 5 + 2

= 7 m

Step 3: The length of fencing required will be equal to the circumference of the new circle with radius 7 m.

Circumference of the new circle with radius 7 m is given by:

C = 2πr

= 2π(7)

≈ 43.98 m

Therefore, the fencing needed to keep our rabbits is approximately 44 meters.

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The solution of the system of equations is \(\[x=3,\text{ }y=0,\text{ and }z=2\]\).

As per data the system of linear equations,

\(\[ \left\{\begin{array}{c} x+2 y+3 z=9 \\ 2 x-y+z=8 \\ 3 x-z=3 \end{array}\right. \] 1)\)

Write the system in the matrix form \(\( A . X=B \)\)

We know that the matrix form of the system of linear equations is as follows.

\(\[A. X = B\]\)

Where

\(\[A=\begin{pmatrix} 1 & 2 & 3 \\ 2 & -1 & 1 \\ 3 & 0 & -1 \end{pmatrix}\[X=\begin{pmatrix} x \\ y \\ z \end{pmatrix}\]\)

and

\(\[B=\begin{pmatrix} 9 \\ 8 \\ 3 \end{pmatrix}\]2)\)

To solve the system, we can use row reduction method.

\(\[\begin{pmatrix} 1 & 2 & 3 & 9 \\ 2 & -1 & 1 & 8 \\ 3 & 0 & -1 & 3 \end{pmatrix}\]\)

Applying the elementary row operations

\(\[R_{2}\to R_{2}-2R_{1}\]\)

and

\(\[R_{3}\to R_{3}-3R_{1}\]\)

we get,

\(\[\begin{pmatrix} 1 & 2 & 3 & 9 \\ 0 & -5 & -5 & -10 \\ 0 & -6 & -10 & -24 \end{pmatrix}\]\)

Now applying the elementary row operations

\(\[R_{3}\to R_{3}-(6/5)R_{2}\]\)

we get,

\(\[\begin{pmatrix} 1 & 2 & 3 & 9 \\ 0 & -5 & -5 & -10 \\ 0 & 0 & -1 & -2 \end{pmatrix}\]\)

Now, we need to apply back substitution method. Using the third row, we can get the value of z as z = 2.

Now, using the second row,

\(\[-5y - 5z = -10\]\\\-5y - 5(2) = -10\]\)

Solving this equation, we get y = 0.

Finally, using the first row, we can get the value of x as

\(\[x + 2y + 3z = 9\]\\x = 3\]\)

Hence, the solution of the system of equations is \(\[x=3,\text{ }y=0,\text{ and }z=2\]\).

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Answer:

7

Step-by-step explanation:

X>=7

We distribute and then transfer to the other side

Answer:

1200 would be an estimate

Step-by-step explanation:

Rounding to the nearest 10's digits would be a method of estimation. For example, in this case, 63 would round down to 60 and 19 would round up to 20 for a quick estimate. 60 times 20 = 1200

Answer:

1197

Step-by-step explanation:

63 x 19 = 1197

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Answer:

It is y = x - 5

Step-by-step explanation:

General equation of a line:

\({ \bf{y = mx + c}}\)

m is the gradient, and c is y-intercept.

For gradient:

\(slope = \frac{y_{2} - y_{1} }{x _{2} - x_{1}} \)

substitute:

\(slope = \frac{1 - ( - 2)}{6 - 3} \\ \\ = \frac{3}{3} \\ slope \: = 1\)

m = 1

for y-intercept:

consider point (6, 1):

\(y = mx + c \\ 1 = (6 \times 1) + c \\ 1 = 6 + c \\ c = 1 - 6 = - 5\)

therefore:

\({ \sf{equation \: is \: \{y = x - 5 \}}}\)

Answer:

black

black

Step-by-step explanation:

Answer:

d = 3

Step-by-step explanation:

2d + 1 = 7

7 -1

2d = 6

2 divided by 2(cancels out), 6 divided by 2 is 3.

d = 3

If there is enough evidence to reject the null hypothesis and conclude that the new process produces less than 90% good product.

The appropriate hypotheses for this scenario would be:

Null hypothesis (H0): The true proportion of good product produced by the new process is equal to or less than 0.9.
Alternative hypothesis (Ha): The true proportion of good product produced by the new process is greater than 0.9.

To test these hypotheses, we can use a one-sample proportion test. The test statistic for this test is calculated using the formula:

z = (p - P0) / sqrt(P0 * (1 - P0) / n)

where:
- p is the proportion of good product in the sample (0.87 in this case)
- P0 is the hypothesized proportion of good product (0.9)
- n is the sample size (49)

Using an alpha level of 0.05, we can find the critical z-value from a standard normal distribution table. For a one-tailed test (since our alternative hypothesis is one-sided), the critical z-value is 1.645.

Calculating the test statistic using the formula above, we get:

z = (0.87 - 0.9) / sqrt(0.9 * 0.1 / 49) = -1.17

Since the calculated z-value (-1.17) is less than the critical z-value (1.645), we fail to reject the null hypothesis. This means that we do not have enough evidence to conclude that the true proportion of good product produced by the new process is greater than 0.9. The quality manager should investigate the process further to improve the proportion of good product before certifying it.

Let's formulate the appropriate hypotheses and test them using an alpha:

The quality manager at Newvis Pharmaceutical Company wants to ensure that the new process produces at least 90% good product. We can define the null hypothesis (H0) and the alternative hypothesis (H1) as follows:

H0: p ≥ 0.90 (The process produces 90% or more good product)
H1: p < 0.90 (The process produces less than 90% good product)

Now, let's test these hypotheses using an alpha (significance level), which is typically set at 0.05.

1. Calculate the test statistic using the sample proportion (p-hat) and sample size (n):
p-hat = 0.87 (87% of the 49 containers were good)
n = 49

2. Find the standard error of the sample proportion:
SE = √(p * (1-p) / n)

3. Calculate the z-score:
z = (p-hat - p) / SE

4. Compare the z-score to the critical value from the z-table corresponding to the chosen alpha level. If the z-score is less than the critical value, reject the null hypothesis in favor of the alternative hypothesis.

If you complete these steps, you can determine if there is enough evidence to reject the null hypothesis and conclude that the new process produces less than 90% good product.

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Answer:

The data in this scenario would most likely be categorical, as the responses would likely consist of categories or labels that describe the different activities that the teenagers would like to see in the community room on Saturdays.

Step-by-step explanation:

For example, the responses might include categories such as "video games," "board games," "movie nights," "sports activities," "arts and crafts," and so on. These categories are not numerical values, but rather descriptive labels.

Answer:

The answer is B.-3/2

Please correct me If I am wrong

Step-by-step explanation:

I use \(\frac{rise}{run}\)

Also, you automatically know that the line is decreasing

Step-by-step explanation:

first find the nth term

a1 (n-1) d

24 (n-1) 7

24+7n-7= 17+7n

for 500th term: 17+7(500)= 3517

so option B

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a) To find the root we have to set the function equal to zero

b) The intervals obtained when the x-intercepts are used to partition the number line are

c) The table of signs

d) A sketch of the graph

What happens to the graph as x decreases?

• The graph tends to negative infinity

What happens to the graph as x increments?

• The graph tends to negative infinity

For which intervals is the graph above of x axis

For which intervals is the graph below of x axis

What is the leading term of the polynomial function?

To calculate the leading term we must expand the function

The leading term is the term with the highest exponent in this case x³

What is the leading coefficient of the polynomial function?

It is the number that accompanies the leading term in this case 2

True . In this distribution, the mean salary is lower than the median salary because the few employees who earn a very high salary pull the mean towards the left.

In a left-skewed distribution, the tail of the distribution is longer on the left-hand side, which means that there are more values on the left side of the distribution that are lower than the mean. This pulls the mean towards the left, making it lower than the median. Therefore, the median tends to be higher than the mean in a left-skewed distribution.

When we talk about the shape of a distribution, we refer to the way in which the values are spread out across the range of the variable. A left-skewed distribution is one in which the tail of the distribution is longer on the left-hand side, which means that there are more values on the left side of the distribution that are lower than the mean. The mean is the sum of all values divided by the number of values, while the median is the middle value of the distribution. In a left-skewed distribution, the mean is pulled towards the left, making it lower than the median. This happens because the more extreme values on the left side of the distribution have a larger impact on the mean than they do on the median.

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Answer:

(-1,5)

Step-by-step explanation:

For point (x1,y1) and (x2,y2) on coordinate plane if m is the midpoint of these points, then coordinate of mid point  is given by

(x1+x2)/2,  (y1+y2)/ 2

________________________________

Given point

B= (-5,1)

M = (-3,3)

we have to find point A, let it be (x,y

using the above formula , midpoint m is

-3= (-5+x)/ 2                    3=  (1+y)/ 2

-3*2= -5+x                           6= 1 +y

-6 +5 = x                             6-1 =y

x = -1                                    y = 5

Thus, the coordinates of point A is(-1,5).

The answer is true. The goal of a hypothesis test is indeed to demonstrate that the patterns observed in the sample data are not simply due to chance or sampling error, but rather represent real patterns in the population.

Hypothesis testing is a statistical tool used to determine whether a hypothesis about a population parameter is supported by sample data. The hypothesis being tested is called the null hypothesis, which assumes that there is no significant difference or relationship between variables in the population. The alternative hypothesis, on the other hand, suggests that there is a significant difference or relationship.

Through hypothesis testing, we can determine whether the observed differences or relationships in the sample are likely to occur by chance or are actually reflective of the true population. If the p-value (the probability of obtaining a result as extreme as the one observed, assuming the null hypothesis is true) is less than a predetermined level of significance, typically 0.05, we reject the null hypothesis and conclude that the alternative hypothesis is supported by the data.

In summary, the goal of a hypothesis test is to provide evidence that the observed patterns in the sample data are reflective of the true population and not just due to chance or sampling error.

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If a washer and dryer cost $750 and the cost of the washer is two times the cost of the dryer, then the cost of the dryer $250

The total cost of a washer and dryer combined = $750

The cost of the dryer = x

The cost of the washer is two times the cost of the dryer.

The cost of the washer = 2x

Then the equation will be

x + 2x = 750

Add the like terms of the equation

3x = 750

Move 3 to the right hand side of the equation

x = 750/3

x = $250

Hence, if a washer and dryer cost $750 and the cost of the washer is two times the cost of the dryer, then the cost of the dryer $250

The complete question is:

A washer and dryer cost $750 combined the cost of the washer is two times the cost of the dryer what is the cost of the dryer?

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The median for the given sample of data is A. 20.

To find the median for the given sample of data, we need to arrange the numbers in ascending order and then find the middle value.

Arranging the numbers in ascending order: 16, 17, 18, 18, 19, 19, 21, 22, 22, 23, 25

There are 11 numbers in the sample, so the middle value is the (11 + 1) / 2 = 6th value.

The 6th value in the ordered list is 19.

Therefore, the median for this sample of data is A. 20.

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Answer:

A

Step-by-step explanation:

The positive integers are numbers that start at 1 and go on towards the right: are natural numbers 1,2,3,4,5,6,7,...

The function f(x) = 6x - 5 is neither concave up nor concave down. There are no inflection points for the function f(x) = 6x - 5.

To determine the intervals on which the function f(x) = 6x - 5 is concave up or concave down, we need to analyze the second derivative of the function. Let's proceed with the calculations:

Find the first derivative of f(x):

f'(x) = 6

Find the second derivative of f(x):

f''(x) = 0

The second derivative of the function f(x) is constant and equal to zero. When the second derivative is positive, the function is concave up, and when it is negative, the function is concave down.

Since f''(x) = 0 for all x, we have the following:

The function f(x) = 6x - 5 is neither concave up nor concave down, as the second derivative is always zero.

There are no inflection points for the function f(x) = 6x - 5 because it does not change concavity.

In summary:

1. The function f(x) = 6x - 5 is neither concave up nor concave down.

2. There are no inflection points for the function f(x) = 6x - 5.

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Answer:Real numbers must be complete in order to fill the number line.

Step-by-step explanation: No steps I got this answer from my algebra notes.

Completeness as a property of real numbers ensures that the limit of a sequence exists within the set due to the absence of gaps or missing points

Completeness of real numbers means that there are no gaps in between a sequence of real numbers or on a real number line.

The importance of completeness of real numbers is of particular importance in other to ensure that mathematical calculations and analysis hold for all sequence of real numbers in a set.

With the presence of gaps or holes in real numbers, then the limit of a sequence of real numbers may not exist within a specified set.

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