What is the measure of <1? (ON ALL THE PROBLEMS) And tell if 4 and 5 are right. ( d means degrees)

Answer:

An exceptional answer to the question provided would be, y = 6x + 2

Answer:

m<9=130 it also equal to 180 so 130-180 makes m<4= 50

Answer:60%

Step-by-step explanation:

There are 15 families total, with 9 of them owning 4 or more mobile devices. To find percent we can write (9/15)*100, giving us 60%

Answer:

(4,4)

Step-by-step explanation:

The solution set of the system of equations can be found by setting the two equations equal to each other and solving for x.

x^2 - 6x + 12 = 2x - 4

x^2 - 8x + 16 = 0

(x - 4)^2 = 0

x = 4

Since both equations in the system are equal to y, we can substitute x = 4 into either equation to find the corresponding value of y.

y = 2x - 4 = 2(4) - 4 = 4

Therefore, the solution of this system of equations is (4, 4).

Therefore, the correct answer is (4, 4).

we randomly select two people, drawing without replacement , the  probability of getting 2 females: a) = 1/7 ( = 0.1429) , b) = 9/49 ( = 0.1837 ).

a)  Without replacement,

2 female can be selected from 3 female by \(3C_{2}\) ways.

P(2 female) = \(3C_{2} / 7C_{2}\)

= 1/7 ( = 0.1429)

b)  With replacement,

P(female) = n(female) / total people.

= 3 / 7

P(2 female) = 3/7 * 3/7

= 9/49 ( = 0.1837 )

Probability is basically the way that logical something is to occur. Whenever we're uncertain about the result of an occasion, we can discuss the probabilities of specific outcomes — how likely they are. The investigation of occasions administered by probability is called statistics.

By and large, the probability is the proportion of the quantity of positive outcomes to the absolute outcomes in that example space. It is communicated as, Probability of an occasion P(E) = (Number of good outcomes) ÷ (Test space).

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For the linear equations provided by the coordinates in the table;

The first equation of this system is y = -2x.

The second equation of this system is y = x - 3.

The solution to the system is (1, -2).

We have four points (-5,10), (-1,2), (0,0), and (11,-22) for first equation, and four points (-8,-11), (-2,-5), (1,-2), and (7,4) the second equation.

The slope (m) is given by the formula (y2 - y1) / (x2 - x1).

For the first line, we can use the points (-5,10) and (-1,2)

m1 = (2 - 10) / (-1 - (-5)) = -8/4 = -2.

the first equation is y = -2x

the second line, we can use the points (-8,-11) and (-2,-5)

m2 = (-5 - -11) / (-2 - -8) = 6/6 = 1.

the second line has a slope of 1,

the equation should have the form y = x + c.

To find c, we can use one of the points, for instance (-2,-5):

-5 = -2 + c => c = -5 + 2 = -3.

So, the second equation is y = x - 3.

the solution to the system, we need to find where the two lines intersect.

y = -2x

y = x - 3

Setting both equation equally

-2x = x - 3

=> 3x = 3

=> x = 1.

Substituting x = 1 into the first equation

y = -2(1) = -2.

the solution to the system of linear equation would be (1, -2).

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The Intermediate Value Theorem guarantees the existence of a solution to the equation x³ - 4x = 1 in the interval (-1,0) by evaluating the function at the endpoints of the interval. The tangent line to the curve f(x) = x² + 1 at the point (0,1) can be found by using the definition of the derivative.

To apply the Intermediate Value Theorem, we evaluate the function x³ - 4x at the endpoints of the interval (-1,0).
For x = -1, we have (-1)³ - 4(-1) = -1 + 4 = 3, and for x = 0, we have 0³ - 4(0) = 0.
Since the function is continuous on the interval and takes on values of 3 and 0 at the endpoints, by the Intermediate Value Theorem, there exists at least one value of x in (-1,0) for which x³ - 4x = 1.
To find the equation of the tangent line to the curve f(x) = x² + 1 at the point (0,1), we can use the definition of the derivative. The derivative of a function f(x) gives the slope of the tangent line at any given point.
Using the definition, we have:
f'(x) = lim(h→0) [(f(x + h) - f(x)) / h]
Substituting f(x) = x² + 1, we get:
f'(x) = lim(h→0) [((x + h)² + 1 - (x² + 1)) / h]
Simplifying the expression, we have:
f'(x) = lim(h→0) [(2xh + h²) / h]
f'(x) = lim(h→0) [2x + h]
Taking the limit as h approaches 0, we find that f'(x) = 2x.
Therefore, the derivative of f(x) is 2x. At the point (0,1), the value of x is 0, so the slope of the tangent line is 2(0) = 0.
Since the point (0,1) lies on the curve, the equation of the tangent line is y = 1.

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The given function is f(x) = 15(1.02)^x, where x is the number of years from the date at which money is initially deposited.

This means that $15 were initially deposited into the account, and the amount grows at an annual rate of 2% (which is represented by 1.02 being raised to the power of x).

Therefore, the correct answer is: $15 were initially deposited into the account, which grows at an annual rate of 2%.

Hope I helped you...

To find the present value that will grow to $1000 in 6 years at an annual interest rate of 8.5% compounded quarterly, we can use the formula: PV = FV / (1 + r/n)^(n*t)

where PV is the present value, FV is the future value ($1000 in this case), r is the annual interest rate (8.5%), n is the number of compounding periods per year (4 for quarterly), and t is the time period in years (6).
Plugging in the values, we get:
PV = $1000 / (1 + 0.085/4)^(4*6)
PV = $1000 / (1.02125)^24
PV = $527.22
Therefore, the present value that will grow to $1000 in 6 years at an annual interest rate of 8.5% compounded quarterly is $527.22.

To find the present value that will grow to $1000 with an 8.5% annual interest rate compounded quarterly for 6 years, you can use the formula:
PV = FV / (1 + r/n)^(nt)
where:
PV = present value
FV = future value ($1000)
r = annual interest rate (0.085)
n = number of times interest is compounded per year (4 for quarterly)
t = number of years (6)
Plugging in the values:
PV = 1000 / (1 + 0.085/4)^(4*6)
PV = 1000 / (1.02125)^24
PV ≈ 630.16
So, the present value needed to grow to $1000 is approximately $630.16.

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The distance that she runs from one corner of the field to another is given as follows:

147.1 yards.

The Pythagorean Theorem states that for a right triangle, the length of the hypotenuse squared is equals to the sum of the squared lengths of the sides of the triangle.

The distance in this problem is the diagonal of a rectangle, which is the hypotenuse of a right triangle in which the length and the width are the sides, hence:

d² = 85² + 120²

d = sqrt(85² + 120²)

d = 147.1 yards.

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Yes, the equation 9x^2 = 1 has zeroes at ±1/3. The solution is obtained by solving the algebraic equation.

What is algebraic equation?

The term "algebraic expression" refers to a mathematical expression that contains variables, constants, and algebraic operations (addition, subtraction, etc.). The expression must have an equals to sign in order to satisfy the algebraic equation.

We are given 9x^2 = 1

In order to find its roots, we need to find the value of x which are the zeroes for the equation.

So,

⇒9x^2 = 1

⇒x^2 = 1/9

⇒x = √1/9

⇒x = ±1/3

We are given 3x-1 = 0

So,

⇒ 3x = 1

⇒ x = 1/3

So, the given equation does not have its zeroes at ±1/3.

Hence, the equation 9x^2 = 1 has zeroes at ±1/3.

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The third part of the question is not complete as the complete equation is not visible.

Statistical process control technique that permits only 3.4 defects per million opportunities is Six Sigma.

Six Sigma is a statistical technique that emphasizes the necessity of a standardized approach to enhancing and optimizing the efficiency of the production and management processes by reducing the variation and waste within them. It concentrates on controlling a process to ensure that the results of a process are consistent and reliable by using statistical methods. The objective of the Six Sigma process is to produce 3.4 errors or defects per million opportunities. If the process is better than Six Sigma, it is considered more consistent and predictable.
Six Sigma's statistical approach to process control encompasses a range of tools and methods. Six Sigma's primary objective is to increase revenue and profits by developing and delivering high-quality products and services while eliminating defects and reducing waste.
Six Sigma aims to improve quality by detecting and reducing the reasons for variations in production processes. It accomplishes this by developing quality management practices that enable it to assess quality, establish goals, and implement best practices to achieve those goals.
In conclusion, Six Sigma is a process control approach that emphasizes statistical methods for process control and improvement. Six Sigma is used to reduce variability and eliminate waste, and its goal is to achieve 3.4 defects per million opportunities.

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The expression 2x² + 7x + 6 can be factored as (2x + 3)(x + 2). To factor the expression 2x² + 7x + 6, we need to determine two binomial factors whose product is equal to the given expression.

We look for two numbers whose product is equal to the product of the coefficient of the x² term (2) and the constant term (6), which is 2 * 6 = 12. Additionally, we need to find two numbers whose sum is equal to the coefficient of the x term (7), which is 7.

The numbers that satisfy these conditions are 3 and 4, as 3 * 4 = 12 and 3 + 4 = 7. Therefore, we can write the factored form of the expression as (2x + 3)(x + 2).

Expanding this factored form using the distributive property, we get:

(2x + 3)(x + 2) = 2x² + 4x + 3x + 6 = 2x² + 7x + 6

Hence, (2x + 3)(x + 2) is the factored form of the expression 2x² + 7x + 6.

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The volume of the piece is: 4489.33

To find the volume of this piece, we need to subtract the volume of the cylindrical hole from the volume of the sphere.

The volume of the sphere is given by the formula: V = (4/3) * pi * r^3

Where r is the radius of the sphere, so in this case: V = (4/3) * pi * (7cm)^3 = 1436 * 3.14 cm^3 = 4511.32 cm^3

The volume of the cylinder is given by the formula: V = pi * r^2 * h

Where r is the radius of the cylinder and h is the height of the cylinder, since the hole is drilled through the center of the sphere, the height of the cylinder is equal to the radius of the sphere, so: V = 3.14 * (1cm)^2 * 7cm = 21.99 cm^3

So the volume of the piece is: 4511.32 - 21.99 = 4489.33 cm^3

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The probability of Amar drawing a spade in the first five attempts is approximately 24.5%, as there are 13 spades in a deck of 52 cards.

The probability of drawing a spade in the first attempt is 13/52 or 25%.

The probability of drawing a spade in the second attempt is 12/51 or 23.5%.

The probability of drawing a spade in the third attempt is 11/50 or 22%.

The probability of drawing a spade in the fourth attempt is 10/49 or 20.4%.

The probability of drawing a spade in the fifth attempt is 9/48 or 18.8%.

The total probability of drawing a spade in the first five attempts is the sum of the above probabilities, which is 24.5%.

The probability of drawing a spade in the first five attempts is 24.5%, calculated by summing the separate probabilities.

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The slope in the regression equation is the coefficient that represents the change in the response variable (in this case, hurricane wind speed) for every one-unit increase in the predictor variable (central pressure).

In the context of hurricane wind speed and central pressure, the slope represents the strength of the relationship between these two variables. A higher slope value indicates a stronger relationship between central pressure and wind speed, meaning that changes in central pressure have a larger impact on wind speed. Therefore, the slope is an important factor to consider when predicting or analyzing hurricane intensity.

In the context of hurricane wind speed and central pressure, the slope in the regression equation represents the relationship between the two variables. It shows how much the wind speed changes with respect to a change in central pressure.

To interpret the slope in this context, follow these steps:

1. Obtain the regression equation for the data on hurricane wind speed and central pressure. This equation will be in the form of y = mx + b, where y is the wind speed, x is the central pressure, m is the slope, and b is the y-intercept.

2. Identify the slope (m) in the equation. The slope represents the change in wind speed for every unit change in central pressure.

3. Interpret the slope value: If the slope is positive, it means that as central pressure increases, wind speed also increases. If the slope is negative, it indicates that as central pressure increases, wind speed decreases. The magnitude of the slope shows the strength of this relationship.

In conclusion, the slope in the regression equation between hurricane wind speed and central pressure helps us understand how the wind speed changes with respect to changes in central pressure, allowing for better prediction and analysis of hurricane behavior.

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Answer:

40, leg

Step-by-step explanation:

The triangle has side lengths of 9, 40, and 41.

41 is the hypotenuse, so 40 is a leg.

The transformation f(x) ↦ f(x) -1/2 shifts the graph of f(x) downward by 2 units.

For example, suppose that point (a, b) lies on the graph of f(x). After applying the transformation f(x) ↦ f(x) - 1/2, the point (a, b - 1/2) lies on the transformed graph.

So, when the original graph of f(x) was above the x-axis, the transformed graph will be shifted downward and intersect the x-axis 1/2 units below where the original graph intersected it.

When the original graph of f(x) was below the x-axis, the transformed graph will be shifted downward and move further away from the x-axis.

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Answer:

the price of a juice is $0.4

Step-by-step explanation:

This is basically dependent on linear equation in 2 variables.

First, we write the equations for these down. Here they are:

2 sandwiches and a juice:

2x + y = £3.4

Four sandwiches and three  juices:

4x + 3y = £7.2

Now, lets use 1 equation to find the value of x.

Here's how

We take the equation, 4x + 3y = £7.2

4x = 7.2 - 3y

x = \(\frac{7.2 - 3y}{4}\)

Once you found x, plug this value into the other equation.

So you'd get:

2(\(\frac{7.2 - 3y}{4}\)) + y = £3.4

Multiply and you get:

\(\frac{7.2 - 3y}{2}\) + y = £3.4

Now, make the denominators same and you get:

\(\frac{7.2 - 3y}{2}\) + \(\frac{2y}{2}\) = £3.4

So, you get:

\(\frac{7.2-y}{2}\) = £3.4

Bring the 2 to the other side and you get:

7.2 - y = 6.8

y = 7.2 - 6.8 = 0.4

Therefore, 1 sandwich costs £0.4

That's it really :D

A scatter plot is a data visualization technique in data analysis that uses a graph to show the relationship between two variables. It is used to display the relationship between two variables in a two-dimensional graph, with one variable on the x-axis and the other variable on the y-axis.

Scatter plots are used to explore the relationship between two variables, identify any patterns, and detect outliers. Scatter plots can also be used to compare the trends between groups of data, such as the relationship between different age groups and salary, or the relationship between different countries and GDP.

Scatter plots can provide insights into which variables are most important when predicting a response variable. Scatter plots are a powerful tool for understanding relationships between variables and can be used in a wide variety of data analysis tasks.

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a) The determination of the equivalent units of production for materials and conversion costs is as follows:

                                                       Units       Materials       Conversion

Completed and transferred out  12,500        12,500            12,500

Ending work in process                2,850         2,850                1,710

Total equivalent units                  15,350       15,350              14,210

b) The calculation of the unit costs is as follows:

                                      Direct Materials     Conversion Costs

Production costs                $42,980                 $34,104

Total equivalent units           15,350                    14,210

Unit costs                              $2.80                      $2.40

c) The preparation of the cost reconciliation schedule is as follows:

                                         Direct Materials  Conversion Costs  Total Costs

Beginning work in process      $0                        $0                     $0

Cost to be accounted for       $42,980                 $34,104          $77,084

Total production costs           $42,980                 $34,104          $77,084

Costs accounted for units:

Completed / transferred out $35,000               $30,000         $65,000

Ending work in process          $7,980                   $4,104          $12,084

Total costs accounted for    $42,980                 $34,104         $77,084

Equivalent units are the multiplication of the number of physical (or actual) units on hand by the percentage of completion of the units.

1. Completed and transferred out 12,500 units.

2. Beginning work in process = $0

Ending work in process = 2,850 units 60% complete

Production Costs

Direct materials costs = $42,980 100% complete in terms of materials at July 31.

Direct labour = $15,700

Manufacturing overhead = $18,404

Total conversion costs = $34,104 ($15,700 + $18,404)

Equivalent units of production:

                                                       Units       Materials       Conversion

Completed and transferred out  12,500        12,500            12,500

Ending work in process                2,850         2,850 (100%)    1,710 (60%)

Total equivalent units                  15,350       15,350              14,210

Unit costs:

                                      Direct Materials     Conversion Costs

Production costs                $42,980                 $34,104

Total equivalent units           15,350                    14,210

Unit costs                              $2.80                      $2.40

                                 ($42,980 ÷ 15,350)    ($34,104 ÷ 14,210)

Cost Reconciliation Schedule:

                                         Direct Materials  Conversion Costs  Total Costs

Beginning work in process      $0                        $0                     $0

Cost to be accounted for       $42,980                 $34,104          $77,084

Total production costs           $42,980                 $34,104          $77,084

Costs accounted for units:

Completed / transferred out $35,000               $30,000         $65,000

                                 (12,500 x $2.80)              (12,500 x $2.40)

Ending work in process          $7,980                   $4,104          $12,084

                                   (2,850 x $2.80)              (1,710 x $2.40)    

Total costs accounted for    $42,980                 $34,104         $77,084

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p= 610/62, or 9.84 hope this hopes (5)

Answer:

the answer is 5.

Step-by-step explanation:

hope this helps..

Then the end behavior of the graphed function is:

as x → -∞, f(x) → ∞

as x → ∞, f(x) → -∞

Which means that the correct option is A.

The end behavior of a function tells us how the dependent variable behaves as the independent variable tends to negative infinity or infinity.

in the graph below, in the left side (as x tends to negative infinity) you can see that the function goes upwards, so here the end behavior is:

as x → -∞, f(x) → ∞

And on the right side, as x tends to infinity, the graph goes downwards, so here we have:

as x → ∞, f(x) → -∞

Then the end behavior of the graphed function is:

as x → -∞, f(x) → ∞

as x → ∞, f(x) → -∞

From this, we conclude that the correct option is:

A. As the x-values go to positive infinity, the function's values.

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The correct value of the expression is 9 and to evaluate correctly the multiplication of 2 and 0 that 2(0) must be written 0.

An expression is a combination of some mathematical symbol such that arithmetic operator and variable such that all are constrained and create an equation.

The constraint of expression is represented as = or <, >.

Given the expression,

x² - 2(x - 3) when x = 3

⇒ x² - 2(x - 3)

⇒ 3² - 2(3 - 3)

⇒ 3² - 2(0)

⇒ 9 - 0

⇒ 9.

Hence "The correct value of the expression is 9".

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The given question is an incomplete complete question shown below in the image ;

The reason for why the confidence intervals help researchers attain their purpose of using a sample to understand a population is given below .

In the question ,

we have been asked how does the confidence interval help researchers to attain the purpose of using a sample to understand a population ,

we know that , the confidence interval is calculated from an estimate of how far away our sample mean is from actual population mean .

the confidence interval are useful because ,

(i) by calculating the confidence intervals around any data we collect, we have additional information about the likely values we are trying to estimate .

(ii) they make data analyses richer and help us to make more informed decisions about the research questions .

Therefore , the reason how confidence interval helps is mentioned above.

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