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Answer:

Step-by-step explanation:

The mean of the sampling distribution is equal to the mean of the population. Therefore, we use the standard deviation of the sampling distribution of the means formula. 

                  The standard deviation of the sampling distribution of the means is 2.656. 

With a new population standard deviation of 2.8, the sampling size, n, is 9. 

The binomials (x - 3) and (x - 10) are factors of the trinomial x² - 13x + 30.

To determine which binomial is a factor of the trinomial x² - 13x + 30, we need to factorize the trinomial completely.

In this case, we need to find two binomials in the form (x - a)(x - b) that satisfy the equation:

(x - a)(x - b) = x² - 13x + 30

So, (x - 3)(x - 10) = x² - 13x + 30.

Therefore, the binomials (x - 3) and (x - 10) are factors of the trinomial x² - 13x + 30.

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The integer form is + 40.

The integer form is - 25

An integer is a whole number from the set of negative, non-negative, and positive numbers.

Therefore, integers can be written without fractional components.

Hence, integers may include negative or positive numbers . Examples are -1, 2, 5, -8, 9 and many more.

A deposit of 40 dollars means gain. Therefore, the integer form is + 40.

A loss of 25 pounds mean loss. Therefore, the integer form is - 25

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Answer:

0.4

Step-by-step explanation:

Answer:

a) estimated regression equation = ( 2.039e + 04 - 3.79e - 02 millage , - 6.863e + 02 age )  

b) multicollinearity is an issue for this model

Step-by-step explanation:

a) An estimated regression equation

estimated regression equation = price ~ mileage + age = ( 2.039e + 04 - 3.79e - 02 millage , - 6.863e + 02 age )  

Residuals :

Min 1∅ median 3∅ max

- 1053.73 - 542.06 - 19.61  433.55 1560.81

coefficients :

b) multicollinearity is an issue for this  model because the correlation between millage and Fs 0.6681727 is of high degree

attached below is the remaining part of the solution

To calculate the book value of the Biologique Recherche facial machine after the first year using the straight-line depreciation method, we can use the following formula:

Book Value = Cost - (Depreciation Expense * Number of Years Depreciated)

In this case, the cost of the machine is $123,000, the useful life is 4 years, and the residual value is $42,500. We can use these values to calculate the annual depreciation expense as follows:

Annual Depreciation Expense = (Cost - Residual Value) / Useful Life

= ($123,000 - $42,500) / 4

= $30,375

To calculate the book value of the machine after the first year, we can plug these values into the formula above:

Book Value = $123,000 - ($30,375 * 1)

= $123,000 - $30,375

= $92,625

Therefore, the book value of the Biologique Recherche facial machine after the first year using the straight-line depreciation method would be $92,625.

Answer:

$92,875

Step-by-step explanation:

To calculate the book value of the machine after the first year using the straight-line depreciation method, you would need to subtract the annual depreciation expense from the original cost of the machine. The annual depreciation expense is calculated by subtracting the residual value of the machine from the original cost and dividing that amount by the useful life of the machine in years.

In this case, the annual depreciation expense would be calculated as follows:

Annual depreciation expense = ($123,000 - $42,500) / 4 years = $30,125 per year

Therefore, the book value of the machine after the first year would be:

Book value = $123,000 - $30,125 = $92,875

This means that the machine would be recorded on Rebecca's balance sheet as having a value of $92,875 after the first year of use.

Answer:

675 in³

Step-by-step explanation:

The volume (V) of a cuboid is calculated as

V = lbh ( lis length, b is breadth and h the height )

Here l = 15, b = 5 and h = 9 , then

V = 15 × 5 × 9 = 675 in³

a. {-1,0,2,5}

b. {7,5,5,6}

5 1/2 can be expressed as,

If a fraction x/y is divided by a/b another fraction,

So, 11/2 divided by 3/6 is

Therefore, 5 1/2 divided by 3/6 is 11.

The possible price for the items if the store sells $600 is (c) $40

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

The supply-demand graph

If the store sells $600, then there is a supply worth of $600

The equation of the supply line is calculated as

y = mx + c

Where

c = y = 0

i.e. c = 100

So, we have

y = mx + 100

Using another point on the graph, we have

30m + 10 = 400

So, we have

m = 13

This means that

y = 13x + 100

For a supply of 600, we have

13x + 100 = 600

So, we have

13x = 500

Divide by 13

x = 38.4

Approximate

x = 40

Hence, the possible price for the items is (c) $40

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Answer:6^21

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

It looks like this question is testing your knowledge of the fact that if 2 angles are complementary, then the sine of the first angle equals the measure of the second angle.

So this means 2A+3A=90 -> A=18

Let's reduce the following fractions to the lowest term,

To be able to reduce a fraction to its lowest term, we first determine if the numerator and the denominator have a GCF (Greatest Common Factor). If they have a GCF, we divide the numerator and the denominator by their GCF. Otherwise, the fraction is already in its simplest form.

We get,

a.) 7/192

7 and 192 don't have a GCF.

Therefore, 7/192 is already in its simplest form.

b.) 255/340

255 and 340 have a GCF of 85.

Let's simplify the fraction by dividing the numerator and denominator by their GCF.

Therefore, the simplest form of 255/340 is 3/4.

The mean value is 7.6. Option (D) is the correct answer.

The number of successes in a sample of size n drawn with replacement from a population of size N is frequently modeled using the binomial distribution.

The mean value of a binomial distribution is,

\(\mu =np\\=38*0.2\\=7.6\)

Multiplication:

In mathematics, multiplying two or more numbers yields the product of the numbers. It is one of the basic mathematical operations that we carry out on a regular basis. The most obvious application is using multiplication tables. The multiplication of two numbers in mathematics represents the repeated addition of one number in respect to another. These numbers can be natural numbers, whole numbers, fractions, integers, or other types of numbers. When m is multiplied by n, m is either multiplied by n times or added to itself n times.

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The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

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Option(A) is the correct answer is A. 1,335 birds.

To calculate the number of birds that will be left after 20 years, we need to consider the annual decline rate of 2%.

We can use the formula for exponential decay:

N = N₀ * (1 - r/100)^t

Where:

N is the final number of birds after t years

N₀ is the initial number of birds (2,000 in this case)

r is the annual decline rate (2% or 0.02)

t is the number of years (20 in this case)

Plugging in the values, we get:

N = 2,000 * (1 - 0.02)^20

N = 2,000 * (0.98)^20

N ≈ 2,000 * 0.672749

N ≈ 1,345.498

Rounded to the nearest whole number, the number of birds that will be left after 20 years is 1,345.

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Answer:

√9 × √6

√54

√27 × √2

Step-by-step explanation:

We can obtain the answer to the question given above as illustrated below:

3√6

Recall

a√b = √(a×a×b)

Thus,

3√6 = √(3×3×6)

3√6 = √(9 × 6)

Recall

√(a × b) = √a × √b

√(9 × 6) = √9 × √6

Therefore,

3√6 = √9 × √6

Recall

√9 × √6 = √(9 × 6)

√9 × √6 = √54

Thus,

3√6 = √54

Recall

√54 = √(27 × 2)

√54 = √27 × √2

Therefore,

3√6 = √27 × √2

Therefore,

3√6 = √9 × √6 = √54 = √27 × √2

Answer:

$54.87

Step-by-step explanation:

The area of the triangular garden is (1/2) x base x height = (1/2) x 6 x 5 = 15 square feet.

The area of the rectangular mulch area is base x height = 12 x 9 = 108 square feet.

The total area to be covered with mulch is 108 - 15 = 93 square feet.

The cost of the mulch is $0.59 per square foot, so the total cost is 93 x $0.59 = $54.87.

Therefore, the total cost of the mulch will be $54.87.

Answer:

X    |   y

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

-2   |   3

-1   |   0

0   |  -3

1   |  -6

The relation between curl vector and rotations is v = wdj

A vector field is a vector field's curl. The tendency of particles at point P to spin about the axis that faces the direction of the curl at P is measured by the curl of a vector field at P. If and only if its curl is zero, a vector field with a simply linked domain is considered conservative.

Let v represent the particle's velocity as a vector.

vector v=ui+vj+wk

curl v =

curl v  = \(\left[\begin{array}{ccc}i&j&k\\d/dx&d/dy&d/dz\\u&v&w\end{array}\right]\)

= (dw/dy - dv/dz )i - (dw/dx - du/dz)j +  (dv/dx - du/dy )k

Now by comparing with rotational matrix ,

We know that w = rotational matrix

\(w_{x}\) = 1/2 (dw/dy - dv/dz )

\(w_{y}\) = 1/2 (dw/dx - du/dz)

\(w_{z}\) = 1/2  (dv/dx - du/dy )

w = \(w_{x} i +w_{y} j + w_{z} k\)

w =  1/2[ (dw/dy - dv/dz )i + (dw/dx - du/dz)j + (dv/dx - du/dy )k]

w = 1/2 curl v , rotation = 1/2 curl v

let B be a rigid rotating about z axis

w = w.k

tangential speed =wk *di

v = wdj

curl of v=  \(\left[\begin{array}{ccc}i&j&k\\d/dx&d/dy&d/dz\\0&w_{x} &0\end{array}\right]\)

v = wdj ,

The relation between curl vector and rotations is v = wdj

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Answer:

2, 3, 4, 7, 8

Step-by-step explanation:

All correct!

Answer:

Yes it is totally corect you are very smart

Step-by-step explanation:

Answer:

well the answer is 30............

===========================================================

Explanation:

The given triangle has sides of 10, 14, and 18. We see that 18 is the longest side. It corresponds to the longest side of the second triangle, which is 54 units.

The scale factor is 54/18 = 3. Meaning that the second triangle's side lengths are three times longer than the side lengths of the first triangle.

From that, we can say the shortest side of the second triangle is 3*10 = 30 units.

Put another way, the {10,14,18} becomes {30,42,54} when we triple each value in the first set.

========================================================

Explanation:

Let's replace n with 9 to see if we get a true inequality or not.

2n > 16

2*9 > 16

18 > 16

We get a true statement since 18 is indeed larger than 16. Therefore, n = 9 is a solution.

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

Here's another way to tackle the problem:

We can isolate n as if solving an equation. Divide both sides by 2 to do this. The inequality sign does not flip (it only does so if you divide both sides by a negative number).

So we get...

2n > 16

2n/2 > 16/2

n > 8

The solution set is any number larger than 8. Since n = 9 fits the description, that's one of the infinitely many solutions.

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

Side note: The graph will involve an open hole at 8 and shading to the right on the number line.

Answer:

Not particularly, as your answer would be the same either way, though practicality would turn negative 9 into minus 9, so it would go from

x + (-9) + 9 and become x -9 +9.

Also, the -9 and the 9 would cancel out.

A system of equations that will determine the length l, and the width w, of the garden include the following:

D. 92 = 2L + 2W

   L = 3W + 6

In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);

P = 2(L + W)

Where:

Since the length of the garden is 6 feet more than three times the width, we have:

L = 3W + 6

By substituting the given side lengths into the formula for the perimeter of a rectangle, we have the following;

92 = 2L + 2W

92 = 2(3W + 6) + 2W

92 = 6W + 12 + 2W

92 = 8W + 12

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer: go to I think it’s c but try a math solver to trust my answer

Step-by-step explanation:

Hope this helps

To find the length of a line segment in a circle, use the formula \(d = 2r\) \(sin(t/2)\) , where r is the radius of the circle and t is the angle between the radii. The length of segment DE is  \(5\) units.

We can use the similar triangles property to find the missing length of segment DE in the given figure. Because triangles ABD and CBE are similar, we can use a proportion to find the length of DE:

\(CB/BE = AB/BD\)

With the given values, we get:

\(3/6 = 5/(5 + DE)\)

When we simplify and solve for DE, we get:

\(3(5 + DE) = 6 * 5 \s15 + 3DE = 30\)

\(3DE = 15 \sDE = 5\)

Therefore, segment DE has a length of 5 units.

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