4. CM Manufacturing has provided the following unit costs pertaining to a component they manufacture
and use in the production of one of their main products:
Direct materials (variable) $315
Direct labor (variable) 96
Variable manufacturing overhead 72
Fixed manufacturing overhead 29
A supplier has offered to provide the component to CM manufacturing for $500 per unit. CM
Manufacturing currently has no plans to use idle space that would be created if accepting offer from
supplier. Assuming that CM Manufacturing needs 2,000 components annually and the fixed
manufacturing overhead is unavoidable, what would be the impact on operating income if the company
outsources? **Show your work to support your answer.

We now that 9x° = 180° so x° =180°/9 = 20°.

The answer is 20, you are correct.

Answer:$2050.

Step-by-step explanation:

To find out how much a person will pay for renting a car for one day and driving it 100 miles using the given equation, you can substitute x = 100 into the equation y = 50 + 20x and solve for y:

y = 50 + 20x

y = 50 + 20(100)

y = 50 + 2000

y = 2050

Therefore, a person who rents a car for one day and drives it 100 miles will pay $2050.

The line of best fit for the given data is represented by equation C, which is y= 0.95x + 12.

To find the line of best fit, the data points are plotted on a graph, and the line is drawn so that the distance between each data point and the line is minimized.

This is done using various statistical methods, such as the least squares method, to determine the equation of the line that best represents the data.
The equation of the line of best fit can then be used to make predictions or estimations about future values of the dependent variable based on the independent variable.

In this case, the line of best fit represents the relationship between x and y, and can be used to predict the value of y for a given value of x.
In conclusion, the line of best fit for the data is represented by equation C, y= 0.95x + 12.

This line provides the closest approximation to the data points and can be used to make predictions about future values of the dependent variable based on the independent variable.

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      - - - - - -- - - - - - - - - - - - - - -- - - - - - - -- - - - - - - - -- - - - - - - - -- - -

\(\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\)

3x²=75. What is x?

\(\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\)

First, divide by 3 on both sides:-

x²=25       Next, take the square root of both sides:-

x=5, x=-5 (remember, x² =x times x (x times itself); 5 times itself gives 25, and -5 times itself also results in 25)

\(\dashrightarrow\bigstar\boxed{\boxed{\underline{\bold{So\:the\:value\:of\:x\:is\:5\:and\:-5}}}}\dashleftarrow\)

        - - - --  -- - - - - - - - - - - - - - - - - - - - - - - -- - - - - - - - - - - -- - - - - - -- -

Answer:

7 ft

Step-by-step explanation:

hypotenuse (h) = 25

perpendicular (p) = 24

base (b) = ?

We know by using Pythagoras theorem

b = √h² - p²

= √ 25² - 24²

= √ 49

= 7 ft

Answer:

missing side= 7 ft

Step-by-step explanation:

using pythogoras theoram

25^2-24^2=x^2

625-576=x^2

49=x^2

x=7

Answer:

The tightened spot is 10 feet away from the foot of the pole.

Step-by-step explanation:

1. Draw the diagram. Notice that the shape of the electric pole and its supporting wire creates a right triangle.

2. We know 2 side lengths already (26ft, 24ft), and we need to find 1 more side length. Therefore, to find the 3rd side length of a right-triangle, utilize Pythagoras' Theorem.

⭐What is the Pythagoras' Theorem?

3. Substitute the values of the side lengths into the equation, and solve for the unknown side length.

Let B= the distance from the tightened spot to the foot of the pole.

\((C)^2 = (A)^2 + (B)^2\)

\(26^2 = 24^2 + B^2\)

\(676 = 576 + B^2\)

\(100 = B^2\)

\(\sqrt{100} = \sqrt{(B)^2}\)

\(10 = B\)

∴ The tightened spot is 10 feet away from the foot of the pole.

Diagram:

The probability of a sporting event being cancelled due to rain or lightning  is 6/25

This is the likelihood or chance that an event will occur.

Probability = Expected/Total

Given the following

The probability of a sporting event being canceled due to rain or lightning = 3/5 * 2/5

The probability of a sporting event being canceled due to rain or lightning = 6/25

Hence the probability of a sporting event being cancelled due to rain or lightning  is 6/25

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Answer:

In mathematics, the extrema of a function refer to the maximum and minimum values that the function can take on. These values can be local extrema, which occur within a certain range of the function, or global extrema, which are the maximum and minimum values over the entire domain of the function.

To find the extrema of a function, one can use a variety of techniques, such as taking the derivative of the function and setting it equal to zero to find the points of stationary values, or using the second derivative test to determine whether a stationary point is a local maximum or minimum.

Interpreting the extrema of a function can provide valuable information about the behavior of the function. For example, the global maximum of a function might represent the highest possible value that the function can attain, while the global minimum might represent the lowest possible value. Local extrema can also be important, as they can indicate changes in the slope or concavity of the function, which can have important implications for applications such as optimization or modeling real-world phenomena.

Answer:

first off theres two ways of doing it the equation is more fun though

14.5 = x + 4.5

14.5 = x(5) -4.5

-4.5

10 = 5x

divide by 5

you get

2x or $2

other way was to just -4.5 and divide by 5 but thats no fun

The population will exceed 2627 when t is greater than approximately 6.05.

Inequality is a mathematical cοncept that expresses a relatiοnship between twο values οr expressiοns, indicating that οne is greater than, less than, οr nοt equal tο the οther. An inequality is usually represented using symbοls such as < (less than), > (greater than), ≤ (less than οr equal tο), ≥ (greater than οr equal tο), and ≠ (nοt equal tο).

To solve for the value of t when the population exceeds 2627, we can set up the inequality:

p(t) > 2627

Substituting the given equation for p(t), we get:

1000\(e^{0.21t}\) > > 2627

Dividing both sides by 1000, we get:

\(e^{0.21t}\) > 2.627

Taking the natural logarithm of both sides, we get:

0.21t > ln(2.627)

Solving for t, we get:

t > ln(2.627)/0.21 ≈ 6.05

Therefore, the population will exceed 2627 when t is greater than approximately 6.05.

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Answer:

ubtract

36

from both sides of the equation.

x

2

+

14

x

=

−

36

To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of

b

.

(

b

2

)

2

=

(

7

)

2

Add the term to each side of the equation.

x

2

+

14

x

+

(

7

)

2

=

−

36

+

(

7

)

2

Simplify the equation.

Tap for more steps...

x

2

+

14

x

+

49

=

13

Factor the perfect trinomial square into

(

x

+

7

)

2

.

(

x

+

7

)

2

=

13

Solve the equation for

x

.

Tap for more steps...

x

=

±

√

13

−

7

The result can be shown in multiple forms.

Exact Form:

x

=

±

√

13

−

7

Decimal Form:

x

=

−

3.39444872

…

,

−

10.60555127

…

Step-by-step explanation:

FALSE: Finding non-linear correlations between two variables cannot be done using regression.

To determine the association between two quantitative variables, simple linear regression is performed. Simple linear regression can be used to determine:

Regression analysis is a mathematical technique for creating predictive models in which one or more existing independent or explanatory factors influence an unknown target variable.

The determination coefficient value serves as a measure of a regression model's fitness.

Thus, finding non-linear correlations between two variables cannot be done using regression is a incorrect statement.

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The complete question is-

Determine if the following statement is true or false:

Regression cannot be used to identify non-linear relationships between two variables.

Step-by-step explanation:

Given in the question,

C(8,2)

Formula to use:

nCr = n! / r! * (n - r)!

here n = 8

r = 2

We have to calculate combinations of 8 object taken 2 at a time, then

C(8,2)

8C2

8! / 2! * (8 - 2)!

56/2

28

So, 8C2 = 28

The decimal representation of the given sequence is 4,063.21.

The given sequence can be interpreted as follows: "63 ones, 21 hundredths, 4 thousand." To convert this sequence into decimal form, we need to understand the place value of each digit.

Starting from the left, we have "63 ones." This means we have 63 units, which can be represented as 63.

Next, we have "21 hundredths." Since there are two digits after the decimal point, the number becomes 0.21.

Finally, we have "4 thousand." Considering the place value, 4 thousand would be written as 4,000.

Putting it all together, we have 63 + 0.21 + 4,000, which equals 4,063.21. Therefore, the decimal representation of the given sequence is 4,063.21.

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Answer:

Step-by-step explanation:

We are looking for the length of the hypotenuse of the 45° right triangle with side of 70.7 ft.

We know the equation:

Substitute and calculate:

Correct choice is B

The percentage of the seats that is filled is 39%.

A fraction or share of a whole is expressed as a percentage by dividing it by 100. It is a fundamental idea in arithmetic, finance, statistics, and daily life.

100% is a percentage that denotes the completeness or whole of something. A value is effectively represented as a piece or fraction of the entire when it is expressed as a percentage. "%" is the symbol for percentage.

We can see that the number of the filled seats would be;

1700 -  1037

= 663 seats

Percentage of the filled seats = 663/1700 * 100/1

= 39%

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Missing parts;

A middle school took all of its 6th grade students on a field trip to see a play at a theater that has 1700 seats. The students left 1037 seats vacant. What percentage of the seats in the theater were filled by the 6th graders on the trip?

The monthly PMI Payment for Christina's loan is $37.50.The correct answer is option B.

To determine Christina's monthly PMI (Private Mortgage Insurance) payment, we need to find the corresponding interest rate for her loan-to-value (LTV) ratio. The LTV ratio is calculated by dividing the loan amount by the property value.

The loan amount can be calculated by subtracting the down payment from the property value:

Loan amount = Property value - Down payment

           = $170,000 - $20,000

           = $150,000

Now we can calculate the LTV ratio:

LTV ratio = Loan amount / Property value * 100

         = $150,000 / $170,000 * 100

         = 88.24%

Since Christina is obtaining a 30-year mortgage, we need to look at the interest rates for LTV ratios between 85.01% and 90%. According to the table, the interest rate for this range is 0.30%.

To calculate the PMI payment, we multiply the loan amount by the PMI rate and divide it by 12 months:

PMI payment = (Loan amount * PMI rate) / 12

           = ($150,000 * 0.30%) / 12

           = $450 / 12

           = $37.50

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The Probable question may be:
Christina is buying a $170,000 home with a 30-year mortgage. She makes a $20,000 down payment.

Use the table to find her monthly PMI payment

Base to loan% = 95.01% to 97%,90.01% to 95%,85.01% to 90%,80.01% to 85%.

30-year fixed-rate loan = 0.55%,0.41%,0.30%,0.19%

15-year fixed-rate loan = 0.37%,0.28%,0.19%,0.17%.

A. $51.25

B. $37.50

C. $23.75

D. $42.50

Answer:

they have three solutions  

HOPE IT HELPS

TAHE CARE

Step-by-step explanation:

Answer:

Therefore the answer is 20.

Step-by-step explanation:

We know that

class interval = range / number of classes

But here number of classes is not given , so we use the formula

class interval = range / ( 1+ 3.322 log N)

where , range =maximum - minimum = 220-100 = 120

N= number of observations = 50

class interval = 120 / ( 1+ 3.322 * log 50) = 18.06

Rounding up to a convinient number

Thus , class intervai = 20

Therefore the answer is 20.

By simplificatiοn, the values οf the determinants are D = -13, Dx = -11, Dy = -60

A determinant is a scalar value assοciated with a square matrix. The determinant οf a matrix can be used tο determine whether a matrix is invertible (i.e., has an inverse matrix) and whether a system οf linear equatiοns has a unique sοlutiοn, nο sοlutiοn, οr infinitely many sοlutiοns.

For a 2x2 matrix A =  \(\left[\begin{array}{ccc}a&b\\c&d\\\end{array}\right]\), the determinant is calculated as det(A) = ad - bc

To solve the system of equations using determinants, we need to set up the following matrix:

\(\left[\begin{array}{ccc}3&5\\2&-1\\\end{array}\right]\)

The determinant οf this matrix (D) is fοund by using the fοrmula:

D = (3)(-1) - (5)(2) = -13

Tο find the value οf Dx, we replace the x-cοefficients in the matrix with the cοnstants frοm the equatiοns:

\(\left[\begin{array}{ccc}27&5\\-8&-1\\\end{array}\right]\)

Then, we find the determinant οf this matrix:

Dx = (27)(-1) - (5)(-8) = -11

Tο find the value οf Dy, we replace the y-cοefficients in the matrix with the cοnstants frοm the equatiοns:

\(\left[\begin{array}{ccc}3&27\\2&-8\\\end{array}\right]\)

Then, we find the determinant οf this matrix:

Dy = (3)(-8) - (27)(2) = -60

Therefore, the values οf the determinants are:

D = -13

Dx = -11

Dy = -60

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Answer:

show the top plzzz

Step-by-step explanation:

Cost is 65x + 3500 where x is = 326.

65(326) + 3500

21,190 + 3500 = $24,690 is the cost.

Revenue is 365x where x is 326.

365(326) = $118,990

Now we subtract the two:

118,990 - 24,690 = $94,300

This means that the answer is C) $94,300.

I hope this helps! :)

The probability that the mean amount of cereal in 5 randomly selected boxes is at most 9.65 ounces is 0.4808.

The Central limit theorem is used to find the probability

Data given:

sample size = 5.

mean, μ = 9.70 ounces

standard deviation, σ = 0.03 ounce.

To calculate the probability, we determine the z-score corresponding to the sample mean of 9.65 ounces using the z-score formula.

x is the sample mean,

μ is the population mean,

σ is the population standard deviation, and

n is the sample size.

For the sample mean of 9.65 ounces in 5 boxes:

z = (9.65 - 9.70) / (0.03 / √5)

z ≈ -0.05 / (0.03 / √5)

Using a calculator, we find that the probability is approximately 0.4801.

Therefore, the probability that the mean amount of cereal in 5 randomly selected boxes is less than 9.65 ounces is approximately 0.4801.

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Inequalities are used in various branches of mathematics, as well as in real-world applications such as economics, physics, and social sciences, to describe relationships, make comparisons, and analyze data.

Inequalities are mathematical statements that describe a relationship between two values or expressions, indicating that one is greater than, less than, or not equal to the other. Inequalities are used to compare quantities and express their relative sizes or order.

The most common symbols used in inequalities are:

">" (greater than): indicates that the value on the left side is larger than the value on the right side.

"<" (less than): indicates that the value on the left side is smaller than the value on the right side.

"≥" (greater than or equal to): indicates that the value on the left side is greater than or equal to the value on the right side.

"≤" (less than or equal to): indicates that the value on the left side is less than or equal to the value on the right side.

"≠" (not equal to): indicates that the values on both sides are not equal.

Inequalities can be represented using variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. Solutions to inequalities are often expressed as intervals or sets of values that satisfy the given inequality.

Inequalities are used in various branches of mathematics, as well as in real-world applications such as economics, physics, and social sciences, to describe relationships, make comparisons, and analyze data.

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Answer:

A = (1/4)√(4 + 11 + 14)√(-4 + 11 + 14)√(4 - 11 + 14)√(4 + 11 - 14)

A = (1/4)√29√21√7

= about 16.32 mm²

Answer:

  16.27 mm²  (see comment)

Step-by-step explanation:

You want the area of a triangle with side lengths 11 mm and 14 mm, and the angle between them 12.2°.

The area is given by the formula ...

  A = 1/2ab·sin(C)

  A = 1/2(11 mm)(14 mm)·sin(12.2°) ≈ 16.27 mm²

The area of the triangle is about 16.27 square millimeters.

__

Additional comment

If you use Heron's formula for the area from the three side lengths, you find it is about 16.32 mm². That's the trouble with over-specified geometrical figures. The result you get depends on which of the given values you use. (To get the area accurate to 4 sf, the angle needs to be specified to 4 sf: 12.24°.)

  s = (4 +11 +14)/2 = 14.5

  A = √(s(s -a)(s -b)(s -c))

  A = √(14.5(14.5 -4)(14.5 -11)(14.5 -14)) = √(14.5·10.5·3.5·0.5) = √266.4375

  A ≈ 16.32

<95141404393>

Answer:14 000

Step-by-step explanation:

Simple interest formula: A=P(1+in)

A= amount after interest is added

P= initial amount (10000)

i= interest rate (8%)

n= number of periods (5 years)

Now substitute what you have into the simple interest formula:

A=P(1+in)

A=10000(1+(8/100)(5))

A= 14 000

The reason why 8 is divided by 100 is that 8 is a percentage. Unless you have a percentage function on your calculator, I'd strongly encourage you to ALWAYS divide your percentages by 100.

Answer:

( − 5 ) ( 3 + 1 )

Step-by-step explanation:

Use the sum-product pattern: 3 2 − 1 4 − 5

3 2 + − 1 5 − 5

Common factor from the two pairs: 3 2 + − 1 5 − 5

( 3 + 1 ) − 5 ( 3 + 1 )

Rewrite in factored form

Answer:

Step-by-step explanation:

Standard form:

3x2 − 14x − 5 = 0

Factorization:

(x − 5)(3x + 1) = 0

Solutions based on factorization:

x − 5 = 0   ⇒   x1 = 5

3x + 1 = 0   ⇒   x2 = −1

3

≈ −0.333333

Extrema:

Min = (2.333333, −21.333333)

Answer:

(3 x + 1 ) ( x − 5 )