Is the ratio 4 to 7 the same as 7 to 4 ?

Answer: cos -1 (0.9455) = 19 degrees.

Step-by-step explanation:

Given: .

To find : values of  .

Solution : We have given that

.  =0.33166 radians

In form of degree

0.33166 radians =  19 degrees.

Therefore, cos -1 (0.9455) = 19 degrees.

The value of cos ^-1 (0.9455)  to the nearest degree is 19 degrees.

Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.

WE need To find : values of cos ^-1 (0.9455)

We have given that

Angle = 0.33166 radians

In form of degree;

0.33166 radians =  19 degrees.

Therefore, cos -1 (0.9455) = 19 degrees.

Hence, The value of cos ^-1 (0.9455)  to the nearest degree is 19 degrees.

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The estimate of the expressions are:

5/6 ≈ 0.8

√6 + √3 ≈ 4.2

1 - π ≈ -2.1

5 + √6 ≈ 7.4

4 + √3 ≈ 5.7

π/2 ≈ 1.6

√6/√3 ≈ 1.4

√6 ≈ 2.4

5 - √6 ≈ 2.6

√3/ π ≈ 0.6

(π- √3) ≈ 1.4

√11 - 4 ≈ -0.7

π² + 5 ≈ 14.9

√5 + √6 ≈ 4.7

√7 + √8 ≈ 5.4

From the question, we are to evaluate the given expressions.

5/6 ≈ 0.8

√6 + √3 ≈ 4.2

1 - π ≈ -2.1

5 + √6 ≈ 7.4

4 + √3 ≈ 5.7

π/2 ≈ 1.6

√6/√3 ≈ 1.4

√6 ≈ 2.4

5 - √6 ≈ 2.6

√3/ π ≈ 0.6

(π- √3) ≈ 1.4

√11 - 4 ≈ -0.7

π² + 5 ≈ 14.9

√5 + √6 ≈ 4.7

√7 + √8 ≈ 5.4

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Answer:5.9

Step-by-step explanation: Clarification from teacher

The probability that a randomly selected home in Queens has 4 or more computers is 0.1 or 10%. The correct answer is (b) 0.10.

The given probability distribution table shows the probabilities of having 1, 2, or 3 computers in a randomly selected home in Queens. However, the probability of having 4 or more computers is not given in the table.

To find the probability of having 4 or more computers in a randomly selected home, we can use the complement rule. The complement rule states that the probability of an event happening is equal to 1 minus the probability of the event not happening. In this case, the event we are interested in is having 4 or more computers in a home, and the complement of this event is having 1, 2, or 3 computers in a home.

So, the probability of having 4 or more computers in a randomly selected home in Queens can be calculated as:

P(4 or more) = 1 - P(1 or 2 or 3)

P(1 or 2 or 3) = P(1) + P(2) + P(3) = 0.4 + 0.3 + 0.2 = 0.9

P(4 or more) = 1 - 0.9 = 0.1

Therefore, the probability that a randomly selected home in Queens has 4 or more computers is 0.1 or 10%. The correct answer is (b) 0.10.

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Answer:

Domain: (-∞, ∞)

Range: (-∞, ∞)

Step-by-step explanation:

A relation is any set of ordered pairs, which can be thought of as (input, output).

A function is a relation in which no two ordered pairs have the same first component (inputs or x values) and different second components (outputs or y values).

Any nonvertical line is the graph of a function. Thus, any linear equation of the form y = mx + b defines a function.

In the given graph, each domain element (first component) is distinct and corresponds to exactly one range element (second component).

A great way to determine whether a relation is a function is through the "Vertical Line Test."  According to the vertical line test, the graph of an equation represents y as a function of x if and only if no vertical line intersects the graph more than once.  

I drew vertical lines for each point on your graph to show how the vertical line test works. As you can see on the image, each vertical line goes through the graph only once (as represented by the green dots). This means that this line passes the vertical line test, and is, therefore, a function.

In terms of the domain and range, since it is a linear function, it does not have any domain constraints, that is why the domain is all x values.  

The domain of a linear function can be written as:

Set notation for domain : {x | x ∈ R } "The domain is the set of all x such that x is an element of all real numbers."

Interval notation for domain: (- ∞, ∞).    

Similarly, the range of a linear function is all y values. It can definitely go as high or as low without any constraints or limitations.

The range of a linear function can be written as:

Set notation for range: {y | y ∈ R } "The range is the set of all y such that y is an element of all real numbers."

Interval notation for range: (- ∞, ∞).    

Answer:

1st option

Step-by-step explanation:

The length of the arc is calculated as

arc = circumference of circle × fraction of circle

      = 2πr × \(\frac{210}{360}\)

      = 2π × 13 × \(\frac{21}{36}\)

      = 26π × \(\frac{7}{12}\)

      = \(\frac{26\pi (7)}{12}\)

      = \(\frac{182\pi }{12}\)

      = \(\frac{91\pi }{6}\)

Answer:

y=-2x+3

Step-by-step explanation:

Use the slope formula

\(m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

According to the table, x=1 and y=1. There is another point x=2 and y=-1.

We can say that \(x_{1}=1\) and \(y_{1} =1\). We can also say that \(x_{2}=2\) and \(y_{2}=-1\). Plugging this into the equation we get:

\(m=\frac{-1-1}{2-1}=-2\).

This means that the slope of your equation is -1/2

Point intercept form is y=mx+b

So plugging the slope in we have \(y=2x+b\)

We can plug in one of the values from the value table for x and y, but to keep things simple, I’m going to just use x=1, and y=1, the first values on the table. Plugging these into the equation we get:

\(1=-2(1)+b\\ 1=-2 +b\\b=1+2 \\b=3\)

So our equation is \(y=-2x+3\)

Brand A has a unit price of 8 cents per fork ($1.99 divided by 25), while Brand B has a unit price of 9 cents per fork ($3.89 divided by 42).

To determine which brand is the better buy based on the unit price, we compare the unit prices of each brand. In this case, Brand A has a lower unit price than Brand B, which means that it is the better buy. However, we should also consider the number of forks in each box. While Brand B has a higher unit price, it also has more forks per box than Brand A, which may be a more economical choice depending on the needs of the buyer.

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The statements which are not true are A, C, and D.

Suppose A is an n x n matrix and I is the n x n identity matrix.  A. The zero matrix A may have a nonzero eigenvalue. If a scalar A is an eigenvalue of an invertible matrix A, then 1/λ is an eigenvalue of A. D. c. A is an eigenvalue of A if and only if à is an eigenvalue of AT. If A is a matrix whose entries in each column sum to the same numbers, thens is an eigenvalue of A.

E A is an eigenvalue of A if and only if λ is a root of the characteristic equation det(A-X) = 0. F The multiplicity of an eigenvalue A is the number of times the linear factor corresponding to A appears in the characteristic polynomial det(A-AI). An n x n matrix A may have more than n complex eigenvalues if we count each eigenvalue as many times as its multiplicity. We need to choose one statement that is not true.

Let us go through each statement one by one:Statement A states that the zero matrix A may have a nonzero eigenvalue. This is incorrect as the eigenvalue of a zero matrix is always zero. Hence, statement A is incorrect.Statement B states that if a scalar λ is an eigenvalue of an invertible matrix A, then 1/λ is an eigenvalue of A. This is a true statement.

Hence, statement B is not incorrect.Statement C states that A is an eigenvalue of A if and only if À is an eigenvalue of AT. This is incorrect as the eigenvalues of a matrix and its transpose are the same, but the eigenvectors may be different. Hence, statement C is incorrect.Statement D states that if A is a matrix whose entries in each column sum to the same numbers, then 1 is an eigenvalue of A.

This statement is incorrect as the sum of the entries of an eigenvector is a scalar multiple of its eigenvalue. Hence, statement D is incorrect.Statement E states that A is an eigenvalue of A if and only if λ is a root of the characteristic equation det(A-X) = 0.

This statement is true. Hence, statement E is not incorrect.Statement F states that the multiplicity of an eigenvalue A is the number of times the linear factor corresponding to A appears in the characteristic polynomial det(A-AI).

This statement is true. Hence, statement F is not incorrect.Statement A is incorrect, statement C is incorrect, and statement D is incorrect. Hence, the statements which are not true are A, C, and D.

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Answer:

S + 2.5S + (2.5S - 3.3)

Step-by-step explanation:

To get the perimeter of ANY shape, simply add up all the sides.

The calculated total number of jars of jelly is 1320

From the question, we have the following parameters that can be used in our computation:

Boxes = 110

Jars in each = 12

using the above as a guide, we have the following:

Jars of jelly = Boxes * Jars in each

substitute the known values in the above equation, so, we have the following representation

Jars of jelly = 110 * 12

Evaluate

Jars of jelly = 1320

Hence, the total number of jars of jelly is 1320

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Answer:

185 miles.

Step-by-step explanation:

According to the given situation, the calculation of mile is shown below:-

Assume drive = x miles

Total bill incurred = ($27 + 0.1 x) = $45.5

Now we will solve the above equation:

0.10x = $45.5 - $27

0.10x= 18.5

x = 18.5 ÷ 0.10

x = 185 miles.

So, the correct answer is 185 miles.

The same is to be considered

Answer:

40cm²

Step-by-step explanation:

The formula of a trapezium is: A=1/2(a+b)h

The values are: a=6, b=10 and h=5

Therefore, to calculate the area: A=1/2(6+10)5

Hence, the area of the trapezium is A=40cm²

We have to find a constant value with the values and the equation given. Doing so, we have:

The value of the numerator must be 56.

Simplify: (-12c⁵) (3c⁴)=36c⁹.

Given that

To find

So, according to the question

We have,

To convert it in simplest form we have to use mathematically operations of powers.

           = (-12c⁵) (3c⁴)

Now, separate the numerical and variable parts from equation

           = (-12 ×3) c⁵× c⁴

Now, from using the mathematically operations of powers, to add powers, and multiply 12 with 3.

∵ \(a^m\times a^n = a^{m+n}\)

∴\(c^5\times c^4 = c^{5+4}\)

           = (-36) c⁵⁺⁴

          = (-36) c⁹

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Answer: Its is 1

Step-by-step explanation:

Answer:

(A) 22

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

the answer is 24 according to therom 3

Therefore ,there are 158,184,000 ways to create a license plate in this system.

A selection from a group of separate items is called a combination in mathematics, and the order in which the elements are chosen is irrelevant (unlike permutations). An apple and a pear, an apple and an orange, or a pear and an orange are three combinations of two fruits that can be chosen from a set of three fruits, such as an apple, an orange, and a pear. Formally speaking, a set S's k-combination is a subset of S's k unique components. Two combinations are therefore equal if and only if they have the same elements in both combinations.

According to the counting principle, the total number of ways to obtain a license plate is calculated by multiplying the number of times each of these events might occur together.

The first number (the digits 1 through 9) can be obtained in nine different ways.

There are 26 methods to obtain the first letter. There are 26 ways to obtain the following letter (repetition is acceptable).

There are 26 methods to get the third letter, 10 ways to get the next number (zero is acceptable), and 10 ways to get the following number with repetitions.

How many ways are there to get the next number? 10 ways\s.

Thus ,total options for obtaining a license plate:

9 x 26 x 26 x 26 x 10 x 10=158184000

Therefore ,there are 158,184,000 ways to create a license plate in this system.

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Inverse Laplace transform of the function F(s) = (-4s + 6) / (s² - 8s + 20) is  \(-4e^{4t} cos (2t)\) + \(e^{4t} sin (2t)\).

We have the function,

F(s) = (-4s + 6) / (s² - 8s + 20)

Inverse Laplace Transform of the given function is,

L⁻¹ (F(s)) = L⁻¹ [(-4s + 6) / (s² - 8s + 20)]

             = L⁻¹ [(-4s + 4 + 2) / (s² - 8s + 16 + 4)]

             = L⁻¹ [{-4(s - 1) + 2} / {(s - 4)² + 2²}]

             = L⁻¹ [-4(s - 1) / (s - 4)² + 2²] + L⁻¹ [ 2 / (s - 4)² + 2²]

             = -4 L⁻¹ [(s - 1) / (s - 4)² + 2²] + L⁻¹ [ 2 / (s - 4)² + 2²]

             = \(-4e^{4t} cos (2t)\) + \(e^{4t} sin (2t)\)

Hence the inverse Laplace transform of the given function is  \(-4e^{4t} cos (2t)\) + \(e^{4t} sin (2t)\).

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1. Variable manufacturing overhead rate variance

The formula Actual Hours × (Actual Rate - Standard Rate) is used to calculate the variable manufacturing overhead rate variance. This variance measures the difference between the actual variable manufacturing overhead cost incurred and the standard variable manufacturing overhead cost that should have been incurred, based on the standard rate per hour.

Variable manufacturing overhead rate variance = Actual Hours × (Actual Rate - Standard Rate)

The variable manufacturing overhead rate variance provides insight into how efficiently a company is utilizing its variable manufacturing overhead resources in terms of the rate per hour. A positive variance indicates that the actual rate paid per hour for variable manufacturing overhead was higher than the standard rate, resulting in higher costs. On the other hand, a negative variance suggests that the actual rate paid per hour was lower than the standard rate, leading to cost savings.

By analyzing this variance, management can identify areas where the company may be overspending or underspending on variable manufacturing overhead and take corrective actions accordingly, such as renegotiating supplier contracts or optimizing resource allocation.

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Answer:

Step-by-step explanation:

Answer:

\(x=6,\) or \(x=\frac{-11}{2}\)

Step-by-step explanation:

Given:     \(l=x+2\)     \(b=2x-5\)

Area =     \(56\)

find:     find \(x\)

Solution: Since

\(A=L\)     \(b=56\)

Hence

l     \(b=56\)

\((x+2)(2x-5)=56\)

\(2x^{2} -5x+4x-10=56\)

\(2x^{2} -x-10-56=0\)

\(2x^{2} -x-66=6\)

\(x=\frac{1+\sqrt{1-4\times2(-66)}}{4}\)

\(l=\frac{1+\sqrt{1+520} }{4}=\frac{1+23}{4}\)

\(k=\frac{24}{4}\)     or     \(x=\frac{-22}{4}\)

Hence

Answer:     \(x=6,\)     or     \(x=\frac{-11}{2}\)

I hope this helps you

:)

The ways are the \(C_{20} ^{90}\) which are we  there to select the applicants who will be hired with the help of combination.

According to the statement

we have to find that the number of ways are there to select the applicants who will be hired.

So, For this purpose, we know that the

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter.

Here we use the combination.

And from the given information:

20 applicants from a pool of 90 applications will be hired.

And according to this the combination becomes:

\(C_{20} ^{90}\)

then solve it

\(C_{20} ^{90} = \frac{90!}{20! (70!)}\)

\(C_{20} ^{90} = \frac{90*89*88*87*86*85*84*83*82!}{20*19*18*17*16*15*14!}\)

Then after solve it

\(C_{20} ^{90} = \frac{89*11*87*43*14*83*82!}{19*14!}\)

Now open another factorial

\(C_{20} ^{90} = \frac{89*11*87*43*14*83*82*81*80*79*78*77*76*75*74*73*72*71}{19*14*13*12*11*10*9*8*7*6*5*4*3*2*1}\)

Now solve this then

\(C_{20} ^{90} = {89*11*87*43*83*82*79*15*74*73*71}\).

So, The ways are the \(C_{20} ^{90}\) which are we  there to select the applicants who will be hired with the help of combination.

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Answer:

Step-by-step explanation:

same as the last one,  hope you are getting these better now.

minor angle (interior angle)  J is the same as angle  t, b/c of the red marks.

180 = 141 = ∠j

39 = ∠j

t = 39

then find s

180 = 2*t +s

180 = 2*39 +s

180 =78 +s

180-78 = s

102 = s

got it better now?

Estimated  large sample size need to be selected for the 90%  of confidence level with standard deviation of $900 is equal to 24.

Standard deviation = $900

Confidence level = 90%

Estimate the required sample size,

Use the formula for the margin of error,

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

where Z is the z-score corresponding to the desired level of confidence.

Using attached z-score table,

For 90% confidence level, Z = 1.645.

Rearrange the formula to solve for the sample size,

Sample size = (Z × standard deviation / margin of error) ^ 2

Substituting the given values, we get,

⇒ Sample size = (1.645 × 900 / 300) ^ 2

⇒ Sample size = 24.35

Round up to the nearest whole number = 24

Therefore, need a sample size of at least 28 to ensure that it is large enough to achieve the desired level of confidence level.

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Answer:

7

Step-by-step explanation:

(f + g)(n) = f(n) + g(n) = n - 3 + n - 2 = 2n - 5 , thus

(f + g)(6) = 2(6) - 5 = 12 - 5 = 7

Answer:

Step-by-step explanation:

Given data set

To find

Solution

The mean is:

The variance is:

Answer:

Hi, not sure of what you're asking here?

Step-by-step explanation:

Try rephrasing it??

The measure of missing angles is 48° and 36°.

The angle sum property of a triangle states that the sum of the three internal angles of a triangle equals 180 degrees. Three line segments combine to form a triangle, a closed shape having interior and exterior angles. When the values of the other two angles are known, one may utilize the angle sum property to determine the measure of an unknown interior angle.

Given Measure of one angle= 96, one angle= 2x, other angle= x + 12.

Using the angle sum property, we get

96 + 2x + x + 12 = 180

108 + 3x = 180

3x = 180 - 108

3x = 72

x = 72/3

x = 24

So, one angle = 2(24

= 48

The other angle is

x + 12 = 24 +12

= 36

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The complete question is:

One measure of an angle in a triangle is 96°. The other two angle measures are represented by 2x and x + 12. Determine the other two degree measures for the missing angles."