Solve the system of linear equation by graphing.
y=-2x-2
y=-x+1

Answer:

108.5

Step-by-step explanation:

46.50/3= 15.50

15.50 x 7=106.5

Answer:

You would get $ 108.50

Step-by-step explanation:

When you divide 46.50 by 3 you get 15.50 when you then multiply 7 by 15.50 you get 108.50

Hope this helps have a great day

The statement that accurately describes the form of the sampling distribution is:The inspecting dissemination is regularly circulated with a mean of 37 and standard deviation 1.41.

According to the central limit theorem, regardless of how the population distribution is shaped, the sampling distribution of the sample mean will be approximately normally distributed for a sufficiently large sample size.

For this situation, irregular examples of 32 are drawn from Meredith's patient populace, which fulfills the state of a sufficiently huge example size. The central limit theorem can be used to determine the sampling distribution's mean and standard error.

In this instance, the population mean, which is 37, is equal to the mean of the sampling distribution.

The population standard deviation divided by the square root of the sample size is the sampling distribution's standard error. For this situation, the standard mistake is 8 partitioned by the square foundation of 32, which is around 1.41.

Therefore, the statement that accurately describes the form of the sampling distribution is:

The inspecting dissemination is regularly circulated with a mean of 37 and standard deviation 1.41.

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Answer:

hope this helps.

Step-by-step explanation:

Answer:

The answer is none of the above

Step-by-step explanation:

FJ is the angle bisector of angle F

The given sum can be written using sigma notation as:

lua

Copy code

     14

    ----

    \  

     \     9

S =    )  -------

     /   i + k

    /    

    ----

    k=1

Here, we have used k as the index variable in the sum, and it ranges from 1 to 14. The term 9/(i+k) represents the kth term in the sum. Therefore, the sum S can be written in sigma notation as shown above.

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Answer:

483 and 47 yeaaaa boiehdh

Step-by-step explanation:

15 / (1/3)  is equal to  15 x 3/1  = 15 x 3 = 45

The measure of angle a is 15 degrees and this can be determined by using the properties of the isosceles triangle.

In geometry, interior angles are formed in two ways. One is inside a polygon, and the other is when parallel lines cut by a transversal. Angles are categorized into different types based on their measurements.

Given:

The following steps can be used in order to determine the measure of angle a:

Step 1 - According to the given data, it can be concluded that triangle PQR and triangle PSR are isosceles triangles.

Step 2 - Apply the sum of interior angle property on triangle PQR.

\(\angle\text{Q}+\angle\text{P}+\angle\text{R}=180\)

\(\angle\text{Q}+2\angle\text{R}=180\)

\(2\angle\text{R}=180-60\)

\(\angle\text{R}=60^\circ\)

Step 3 - Now, apply the sum of interior angle property on triangle PSR.

\(\angle\text{P}+\angle\text{S}+\angle\text{R}=180\)

\(\angle\text{S}+2\angle\text{R}=180\)

\(2\angle\text{R}=180-90\)

\(\angle\text{R}=45^\circ\)

Step 4 - Now, the measure of angle a is calculated as:

\(\angle\text{a}=60-45\)

\(\angle\text{a}=15\)

The measure of angle a is 15 degrees.

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Based on the equation, the company should manufacture ansell 350 smartphones per day to maximize profit.

The company's profit per day is given by the equation:

Profit = Revenue - Cost

= (150 - 0.1x)x - (80x + 5000)

= -0.1x² + 70x - 5000

We can maximize profit by differentiating the profit function and setting the derivative equal to 0. This gives us the equation:

-0.2x + 70 = 0

Solving for x, we get:

x = 350

Therefore, the company should manufacture and sell 350 smartphones per day to maximize profit.

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A company has started selling a new type of smartphone at the price of $150 0.1x where x is the number of smartphones manufactured per day. The parts for each smartphone cost $80 and the labor and overhead for running the plant cost $5000 per day. How many smartphones should the company manufacture and sell per day to maximize profit?

Answer:

1. )0.35

2. )1.15

3.)0.5 (5 repeating's)

4.)2.72

Step-by-step explanation:

7 divide  20=0.35

-23 divide 20=1.15

-60 divide 22 = 2.727272 but it is 2.72

Answer:

4 to the right on the x axes

Step-by-step explanation:

(1,2) and (5,2) are 4 away

Answer:

(4,0)

Step-by-step explanation:

The random sample of \(24\) students has a mean of \(1.9149\), and the data suggests that the mean is \(20^{0}\).

x = (xi) / n is the general solution for computing the sample mean. Thus, xi refers to all X sample values, xi represents the sampling distribution, and n is the total number of specimen terms inside the data collection.

The statistic known as the sampling distribution is created by arithmetically averaging the values of the variables in a group. The sample mean is an estimate of the anticipated value if the sample is taken from probabilistic with a common expected value.

(a) Sample mean \(= (17 + 21 + 20 + 19 + 23 + 22 + 20 + 20 + 18 + 21 + 19 + 24 + 22 + 20 + 19 + 20 + 19 + 20 + 21 + 22 + 23 + 21 + 18 + 22)/24 = 20.5\)Sample standard deviation \(= 1.9149\)

Next, we can use a t-distribution with \(23\) degrees of freedom

Confidence interval \(= (20.5 - 0.8277, 20.5 + 0.8277) = (19.6723, 21.3277)\)

b) The assumption required in order to generalize the estimate to the population of students at this university is that the \(24\) students in the study formed a random sample of students at this university.

(c) There is not enough evidence to suggest that the mean wrist extension for people using the new mouse design is greater than \(20^{0}\).

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Answer:

8

Step-by-step explanation:

Angle on a straight line equals 180degrees

(5x+2) + <LNM = 180

<LNM = 180 - (5x+2)

<NLM + <LMN + <LNM = 180 (sum of <s in a triangle)

x+10+x+16+180-(5x+2)=180

x+10+x+16+180-5x-2=180

Collecting like terms

-3x = 180-180-24

-3x = -24

x = 8

The test statistic is z = 0.68, and the p-value is approximately 0.2486.

This problem involves testing the hypothesis that the proportion of union workers in the population has increased from 11.5%.

Let p be the true proportion of union workers in the population.

The null hypothesis is H0: p = 0.115, and the alternative hypothesis is Ha: p > 0.115 (one-tailed test, since we are testing for an increase in union membership).

To find the test statistic, we use the formula for a z-test for proportions:

z = (\(\bar p\) - p) / \(\sqrt{(p(1-p)/n) }\)

where, \(\bar p\) is the sample proportion, n is the sample size, and sqrt denotes the square root function.

In this case, \(\bar p\) = 36/300 = 0.12, n = 300, and p = 0.115.

Substituting these values into the formula, we get:

z = (0.12 - 0.115) / \(\sqrt{(0.115(1-0.115)/300) }\)≈ 0.68

To find the p-value, we need to find the probability of getting a test statistic as extreme or more extreme than 0.68, assuming that the null hypothesis is true (i.e., assuming that p = 0.115).

Since this is a one-tailed test, we need to find the area under the standard normal curve to the right of 0.68:

p-value = P(Z > 0.68) ≈ 0.2486

Using a standard normal distribution table or a calculator, we find that the area to the right of 0.68 is approximately 0.2486.

Therefore, the p-value for the test is approximately 0.2486.

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Question: You may need to use the appropriate appendix table or technology to answer this question. An agency reports that historically 11.5% of workers in a particular country belong to unions. Suppose a sample of 300 workers is collected to determine whether union efforts to organize have increased union membership.                                                                                                                                                                                                       If the sample results show that 36 of the workers belonged to unions, what is the p-value for your hypothesis test? Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = ?

The expression for the difference of two linear functions is (f - g)(x) = 4x - 6.

A linear function is a type of function in mathematics that has the form f(x) = mx + b, where x is the independent variable, f(x) is the dependent variable, m is the slope of the line, and b is the y-intercept.

To find the expression for the difference of two linear functions, f(x) and g(x), denoted by (f - g)(x).

The expression for (f - g)(x) can be found by subtracting g(x) from f(x):

(f - g)(x) = f(x) - g(x)

Substituting the given functions f(x) = x - 2 and g(x) = -3x + 4, we get:

(f - g)(x) = f(x) - g(x)

= (x - 2) - (-3x + 4) [Substitute the given values of f(x) and g(x)]

= x - 2 + 3x - 4 [Distribute the negative sign in front of (-3x + 4)]

= 4x - 6 [Combine like terms]

Therefore, (f - g)(x) = 4x - 6.

Option D (-3x² - 2x - 8) is incorrect as it involves squaring a linear expression, which would result in a quadratic expression. Option A (which has no operation between 3 and 22) is not a valid expression. Option B (-3x - 8) and C (3x3x22 or 198) do not take into account the fact that each sundae can be made using one of 3 syrups and one of 3 candy toppings.

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The allowance time, if the standard time is 234.15 minutes and the basic time is 233.4 minutes is 0.75 minute

To calculate the allowance time, we can use the following formula:

Allowance time = Standard time - Basic time

Thus, Allowance time = 234.15 minutes - 233.4 minute = 0.75 minutes

Therefore, the allowance time is 0.75 minutes.

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The function (g+h)(n-4) is the sum of the function g(n-4) and h(n-4) will be written as (g+h)(n-4) = n² - 7n + 9.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The functions are given below.

g(n) = n² + 4n

h(n) = - 3n - 3

The function (g+h)(n) is calculated as,

(g+h)(n) = g(n) + h(n)

(g+h)(n) = n² + 4n - 3n - 3

(g+h)(n) = n² + n - 3

Put n = n - 4, then we have

(g+h)(n-4) = (n - 4)² + (n - 4) - 3

(g+h)(n-4) = n² + 16 - 8n + n - 4 - 3

(g+h)(n-4) = n² - 7n + 9

The function (g+h)(n-4) will be (g+h)(n-4) = n² - 7n + 9.

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This is an experiment because the subjects were randomly assigned to different treatment groups.The percentages referenced in the study are statistics because they are calculated from the sample data

1. The observational units in this study are the 800 adults suffering from arthritis. These individuals are the subjects of the study, and data is collected from them to analyze the effects of different treatments.

2. The explanatory variable is the treatment group to which each subject is assigned: pain medication, placebo, or conventional therapy. It is a categorical variable because it represents different categories of treatment. In this case, it is not binary as there are more than two categories.

3. The response variable is the improvement in the subjects' condition. It measures the outcome or result of the treatment and is used to evaluate the effectiveness of each treatment method.

4. This study is an experiment because the researchers assigned the subjects to different treatment groups. By randomly assigning the subjects, the researchers have control over the assignment and can compare the effects of different treatments.

5. The percentages referenced in the study (53% for pain medication, 20% for placebo, and 27% for conventional therapy) are statistics. Statistics are calculated from sample data and provide estimates or summaries of the population parameters. In this case, the percentages represent the proportions of subjects in each treatment group who improved, based on the sample data collected from the 800 adults with arthritis.

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Mrs. Hough would need 31.5 feet of fencing for the other three sides of the garden.

To calculate the amount of fencing needed for Mrs. Hough's raised garden, we first need to determine the dimensions of the garden.

Since the garden is next to a 13.5 ft fence, we know that one side of the garden is 13.5 ft.

Let's assume the other two sides of the garden have lengths x and y.

The area of the garden is given as 121.5 sq ft, so we have the equation:

x × y = 121.5

To find the dimensions of the garden, we can solve this equation. One possible solution is x = 9 ft and y = 13.5 ft.

Therefore, the dimensions of the garden are 9 ft by 13.5 ft.

Now, to calculate the amount of fencing needed, we add up the lengths of the three sides (excluding the side next to the fence):

Fencing needed = x + y + x = 9 ft + 13.5 ft + 9 ft = 31.5 ft

Mrs. Hough would need 31.5 feet of fencing for the other three sides of the garden.

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Answer:

Firest y5/ 4x = y5 - 4 /4X -4

x= y

Answer:

16.8%

Step-by-step explanation:

Answer:

16 percent of the seats (16%)

Step-by-step explanation:

There are 2000 seats in total but 320 of them are being taken by the students so 320seats out of or divided by the total 2000. 320/2000 is 0.16 and 0.16 as a percent is 16%

Answer:

Step-by-step explanation:

\( \sf{(x - 3)(x + 7)}\)

Use the distributive property to multiply each term of the first binomial by each term of the second binomial.

⇒\( \sf{x(x + 7) - 3(x + 7)}\)

⇒\( \sf{ {x}^{2} + 7x - 3x - 21}\)

Collect like terms

⇒\( \sf{ {x}^{2} + 4x - 21}\)

Hope I helped!

Best regards!!

Answer:

\( \boxed{\boxed{\boxed{\red{{x}^{2} + 4x - 21}}}}\)

Step-by-step explanation:

\((x - 3)(x + 7) \\ x(x + 7) - 3(x + 7) \\ {x}^{2} + 7x - 3x - 21 \\ {x}^{2} + 4x - 21\)

Answer:

y + 1 = 4(x - 2)

y = 4x + 11

8x - 2y = 6

Step-by-step explanation:

Following equations are parallel to the graph 4x - y = 6, because their slopes are equal (4).

y + 1 = 4(x - 2)

y = 4x + 11

8x - 2y = 6

Answer:

acute angle

Step-by-step explanation:

An acute angle is less than 90 degrees.

Answer:

C. Acute

Step-by-step explanation:

There is no square so it's no a right.

It's not a straight because it's 180° which is a straight line.

It's not obtuse since it doesn't seem to be larger than 90°.

Answer:

$75 if she takes 10 classes

Step-by-step explanation:

The answer is the point that both lines intersect

Answer:

C

Step-by-step explanation:

Because xyx-x=483=s739

x,y=rx,ry

Answer:

(5,3) and (5,9)

Step-by-step explanation:

Given the expression:

sin(135° - 60°)

Let's find the exact value of the expression.

First simplify the expression in the parentheses:

sin(135° - 60°) = sin(75°)

The exact value of sin(75°) is:

Part B.

Given the expression:

sin135° - cos60°

Let's find the exact value.

Apply the reference by finding the equivalent angle in the first quadrant.

We have the following:

Therefore, the exact value of the expression is:

ANSWER:

• Part A.

• Part B.

The general solution of the given system is x(t) = c1t(1 1) + c2t(1 -1).

To find the general solution of x′ = (−1 1 −1 −1 ) x, we first need to find the eigenvalues and eigenvectors of the matrix A = (−1 1 −1 −1).

The characteristic polynomial of A is given by det(A - λI) = 0, where I is the 2x2 identity matrix and λ is the eigenvalue:

|−1-λ 1 |

|-1 -λ| = (-1-λ)(-1-λ) - (-1)(1) = λ^2 + 2λ = λ(λ+2) = 0.

So the eigenvalues of A are λ1 = 0 and λ2 = -2.

To find the eigenvectors corresponding to each eigenvalue, we need to solve the equations:

(A - λ1I)x1 = 0 and (A - λ2I)x2 = 0.

For λ1 = 0, we have:

(A - λ1I)x1 =

| -1 1 |

| -1 -1 | x1 = 0.

Solving this system of equations, we get x1 = t(1 1), where t is any scalar.

For λ2 = -2, we have:

(A - λ2I)x2 =

| 1 1 |

| -1 -3 | x2 = 0.

Solving this system of equations, we get x2 = t(1 -1), where t is any scalar.

Thus, the general solution of x′ = (−1 1 −1 −1 ) x can be written as a linear combination of the eigenvectors:

x(t) = c1t(1 1) + c2t(1 -1),

where c1 and c2 are constants that depend on the initial conditions.

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