9x-(-2y)-8x-(-12y) simplify​

84.13% of the printing jobs will be acceptable.

The new standard deviation required to achieve a minimum of 95% of jobs acceptable is 0.121.

The darkness of the print is measured quantitatively using an index. If the index is greater than or equal to 2.0 then the darkness is acceptable. Anything less than 2.0 means the print is too light and not acceptable. The machines print at an average darkness of 2.2 with a standard deviation of 0.20.

The mean of the darkness of the print is µ = 2.2 and the standard deviation is σ = 0.20.Therefore, the z-score can be calculated as; `z = (x - µ) / σ`.The index required for acceptable prints is 2.0. Thus, the percentage of prints that are acceptable can be calculated as follows;P(X ≥ 2.0) = P((X - µ)/σ ≥ (2.0 - 2.2) / 0.20)P(Z ≥ -1) = 1 - P(Z < -1)Using the standard normal table, P(Z < -1) = 0.1587P(Z ≥ -1) = 1 - 0.1587= 0.8413.

To find the new standard deviation, we can use the z-score formula.z = (x - µ) / σz = (2.0 - 2.2) / σz = -1Therefore, P(X ≥ 2.0) = 0.95P(Z ≥ -1) = 0.95P(Z < -1) = 0.05Using the standard normal table, the z-score value of -1.645 corresponds to a cumulative probability of 0.05. Hence,z = (2.0 - 2.2) / σ = -1.645σ = (2.0 - 2.2) / -1.645= 0.121.

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Complete Question

What is the minimum sample size required to estimate a population mean with 90% confidence when the desired margin of error is 1.25? The standard deviation in a pre-selected sample is  7.5

Answer:

The minimum sample size is  \(n =97\)

Step-by-step explanation:

From the question  we are told that

 The margin of error is  \(E = 1.25\)

   The  standard deviation is  \(s = 7.5\)

Given that the confidence level is  90% then the level of significance is mathematically represented as

             \(\alpha = 100 - 90\)  

             \(\alpha =10\%\)  

             \(\alpha =0.10\)

Next we obtain the critical value of \(\frac{\alpha }{2}\) from the normal distribution table  

    The value is  \(Z_{\frac{ \alpha }{2} } = 1.645\)

   The  minimum sample size is mathematically evaluated as

         \(n = \frac{Z_{\frac{\alpha }{2} * s^2 }}{E^2 }\)

=>        \(n = \frac{1.645^2 * 7.5^2 }{1.25^2 }\)

=>        \(n =97\)

The correct statement regarding the measure of variability used to represent the data is given as follows:

The IQR of 10 is the most accurate to use, as the data is skewed.

The interquartile range of a data-set is given by the difference of the third quartile by the first quartile of the data-set.

It is the measure of variability to be used when a data-set contains outliers, or is skewed, as is the case for this problem.

The charity received 18 donations, hence the quartiles are given as follows:

Hence the IQR is given as follows:

IQR = 22.5 - 12.5

IQR = 10.

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Answer:

320

80

Step-by-step explanation:

The selling price of the antique through an online auction website is $680.

Given that,

Kyle sold an antique through an online auction website.

The website host charges Kyle $15, plus 2.5% of the final selling price of the antique.

After selling the antique, Kyle had to pay the website host $32.

Let x be the selling price of the antique.

We get an equation,

15 + (2.5% × x) = 32

15 + 0.025x = 32

0.025x = 17

x = $680

Hence the selling price is $680.

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Answer:

−903.65625

Step-by-step explanation:

((((−4.5)(4.25))(−1.7−2.8))(0−7))((3)(0.5))

=((−19.125(−1.7−2.8))(0−7))((3)(0.5))

=(((−19.125)(−4.5))(0−7))((3)(0.5))

=86.0625(0−7)(3)(0.5)

=(86.0625)(−7)(3)(0.5)

=−602.4375(3)(0.5)

=(−602.4375)(1.5)

=−903.65625

Answer:

Its A

Step-by-step explanation:

Have a nice day

Answer:

Option A

Step-by-step explanation:

Answer:

711 L 936 mL

Step-by-step explanation:

3 L 456 ml times 206=711L 936mL

I hope this helps

Answer: (5 , 1)

Step-by-Step explanation:

hihi your problem is a system of question y = x-4 and  y = -x+6 okay so  graph them both normally and then find the point where they intersect which is gonna be a coordinate point, and that's your solution !!

y = x-4
the y intersect is going to be 4
the slope is a positive 1 , going up to the right, through the positive quadrant, line is facing to the right

y = -x+6
the y intersect is going to be -6
the slope is going to be a -1 , following up the opposite way the line is going to face the left

once you graph them both you'll see the point of intersection, the solution
make sure you drew your lines very clearly !!!!

the solution is  x = 5 and y = 1 which is also (5 , 1)

hopefully this was helpful !

Answer:

The first discount of 50% means Jason paid 50/100 x £88 = £44 for the jacket.

Then, the second discount of 25% means he paid 75/100 x £44 = £33 for the jacket.

Therefore, the final sale price that Jason paid for the jacket was £33.

Width of the enlarged photograph = 14 cm

Length of a small photograph = 6 cm

Width of a small photograph = 4 cm

Length of the photograph when enlarged = 21 cm

Let the width of the photograph when enlarged be x.

Which means :

\( = \tt 4 : 6 : : x : 21\)

\( =\tt \frac{4}{6} = \frac{x}{21} \)

\( =\tt 4 \times 21 = 6 \times x\)

\( =\tt 84 = 6x\)

\( =\tt x = \frac{84}{6} \)

\( =\tt x = 14\)

Thus, the value of x = 14

Therefore, the width of the enlarged photograph = 14 cm

The question is incomplete. The complete question is :

The volume of a right circular cone with radius r and height h is V = pir^2h/3. a. Approximate the change in the volume of the cone when the radius changes from r = 5.9 to r = 6.8 and the height changes from h = 4.00 to h = 3.96.

b. Approximate the change in the volume of the cone when the radius changes from r = 6.47 to r = 6.45 and the height changes from h = 10.0 to h = 9.92.

a. The approximate change in volume is dV = _______. (Type an integer or decimal rounded to two decimal places as needed.)

b. The approximate change in volume is dV = ___________ (Type an integer or decimal rounded to two decimal places as needed.)

Solution :

Given :

The volume of the right circular cone with a radius r and height h is

\($V=\frac{1}{3} \pi r^2 h$\)

\($dV = d\left(\frac{1}{3} \pi r^2 h\right)$\)

\($dV = \frac{1}{3} \pi h \times d(r^2)+\frac{1}{3} \pi r^2 dh$\)

\($dV = \frac{2}{3} \pi r h (dr)+\frac{1}{3} \pi r^2 dh$\)

a). The radius is changed from r = 5.9 to r = 6.8 and the height is changed from h = 4 to h = 3.96

So, r = 5.9  and dr = 6.8 - 5.9 = 0.9

     h = 4  and dh = 3.96 - 4 = -0.04

Now, \($dV = \frac{2}{3} \pi r h (dr)+\frac{1}{3} \pi r^2 dh$\)

\($dV = \frac{2}{3} \pi (5.9)(4)(0.9)+\frac{1}{3} \pi (5.9)^2 (-0.04)$\)

\($dV=44.484951 - 1.458117$\)

\($dV=43.03$\)

Therefore, the approximate change in volume is dV = 43.03 cubic units.

b).  The radius is changed from r = 6.47 to r = 6.45 and the height is changed from h = 10 to h = 9.92

So, r = 6.47  and dr = 6.45 - 6.47 = -0.02

     h = 10  and dh = 9.92 - 10 = -0.08

Now, \($dV = \frac{2}{3} \pi r h (dr)+\frac{1}{3} \pi r^2 dh$\)

\($dV = \frac{2}{3} \pi (6.47)(10)(-0.02)+\frac{1}{3} \pi (6.47)^2 (-0.08)$\)

\($dV=-2.710147-3.506930$\)

\($dV= -6.22$\)

Hence, the approximate change in volume is dV = -6.22 cubic units

The sales last month were $125090 and the Sales at LL Boutique decreased 10% this month compared to last month.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

It is given that:

Sales at LL Boutique decreased 10% this month compared to last month.

Let x be the sale last month

The value of x can be found as follows:

x = 112581/(100% - 10%)

x = 112581/(90%)

x = 112581/(0.90)

x = $125090

Thus, the sales last month were $125090 and the Sales at LL Boutique decreased 10% this month compared to last month.

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Answer:

Step-by-step explanation:

Total inches grown last year by matthew = 2.7inches

Total inches grown this year by Matthew = 4.4 inches

Total inches grown by Matthew over the last two years combined will be the sum of heights of matthew for both the previous year and the current year.

Total inches grown = 2.7 inches + 4.4 inches

Total inches grown over the last two years = 7.1 inches

a) To re-express the given differential equation as a first-order differential equation using matrix and vector notation, we can rewrite it in the form:

\(x' = Ax\)

where x is a vector and A is a square matrix.

b) To determine the stability of the system obtained in part (a), we need to analyze the eigenvalues of matrix A.

If all eigenvalues have negative real parts, the system is stable.

If at least one eigenvalue has a zero real part, the system is neutrally stable.

If at least one eigenvalue has a positive real part, the system is unstable.

c) To compute the eigenvalues and eigenvectors of matrix A, we solve the characteristic equation

\(det(A - \lambda I) = 0\),

where λ is the eigenvalue and I is the identity matrix.

By solving this equation, we obtain the eigenvalues.

Substituting each eigenvalue into the equation

\((A - \lambda I)v = 0\),

where v is the eigenvector, we can solve for the eigenvectors.

d) Once we have computed the eigenvalues and eigenvectors of matrix A, we can construct the diagonalization relationship as follows:

\(A = PDP^{(-1)}\)

where P is a matrix whose columns are the eigenvectors of A, and D is a diagonal matrix whose diagonal elements are the eigenvalues of A.

To show that this relationship is valid, we can compute \(PDP^{(-1)}\) and verify that it equals A.

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Step-by-step explanation:

40 ÷ 3

13•333333333333333333

The top angle is right (90 degrees, kinda looks like a bent elbow).

The 2nd is acute (smaller than 90, kind of 'cute' bc it's small).

The 3rd is obtuse (greater than 90, I have nothing corny to say, sorry).

4th is acute.

5th is straight because it's a straight line.

6th is also obtuse.

Have a good day :)

Answer:

x = 5

Step-by-step explanation:

The axis of symmetry is the vertex x coordinate

Answer:

w=−98

Step-by-step explanation:

Simplify both sides of the equation.

252=154−w

252=154+−w

252=−w+154

Step 2: Flip the equation.

−w+154=252

Step 3: Subtract 154 from both sides.

−w+154−154=252−154

−w=98

Step 4: Divide both sides by -1.

\(\frac{-w}{-1}=\frac{98}{-1}\)

w=−98

The first step is to express the equation in slope-intercept form which is;

y = mx + b

Answer:

6.5 meters

Step-by-step explanation:

Answer:

\(\frac{1}{2}x=53.3\)

Step-by-step explanation:

Since we Half the number, you multiply it by 1/2 (you also put x/2 = 53.3)

Answer:

x= 107.4

Step-by-step explanation:

\( \frac{x}{2} = 53.7 \\ \)

Answer: 3

Step-by-step explanation: This is the average between your 2 numbers, 4 and 2.

Answer: its 2

Step-by-step explanation: i guessed and i got it right after this other dud said 3....ITS 2

Answer:

idfk

Step-by-step explanation:

Answer:

its either b or d

Step-by-step explanation:

Answer: 1:52 PM

Step-by-step explanation:

PAULA: 2:14PM FINISHED THE RACE

BEATRICE: FINISHED 22 MINUTES EARLIER THEN PAULA

YOU TAKE 2:14PM AND SUBTRACT THE 22 MINS BEATRICE RAN TO GET YOU ANSWER.

SO 2:14 -14 MINS=2:00PM 14+8=22 (THE MINS BETRICE FINISHED)

2:00-8 MINS ( REMAINING FROM THE 22 ) THEN 2:00-8 MINS =1:52

ANSWER:1:52PM

The profit function is P(x) = -500.523x^2 + 600x - 200.

To find the profit function, P(x), we need to subtract the cost function, C(a), from the revenue function, R(x).

Given:

Cost function: C(a) = 500x^2 + 300

Revenue function: R(x) = -0.523x^2 + 600x - 200 + 300

Profit function, P(x), is obtained by subtracting the cost function from the revenue function:

P(x) = R(x) - C(a)

P(x) = (-0.523x^2 + 600x - 200 + 300) - (500x^2 + 300)

Simplifying the expression:

P(x) = -0.523x^2 + 600x - 200 + 300 - 500x^2 - 300

P(x) = -500x^2 - 0.523x^2 + 600x + 300 - 200 - 300

P(x) = -500x^2 - 0.523x^2 + 600x - 200

Combining like terms:

P(x) = (-500 - 0.523)x^2 + 600x - 200

Simplifying further:

P(x) = -500.523x^2 + 600x - 200

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The best estimate of how much she will spend on movies and eating out is given as follows:

$162.

The best estimate of how much she will spend on movies and eating out is obtained applying the proportions in the context of the problem.

The percentages associated with movies and eating out are given as follows:

The amount that she has left is given as follows:

$300.

Hence the best estimate of how much she will spend on movies and eating out is obtained as follows:

(0.3 + 0.24) x 300 = 0.54 x 300 = $162.

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Answer:

19

Step-by-step explanation:

X will refer to the number.

X+57( the number added to the original.)=4x. (x time 4)

X+57=4x.

Subtract x from both sides to get the variable on one side.

(X+57)-x =(4x)-x

57=3x. You would then divide by 3 on both sides to again get integer isolated.

57/3=3/3x.

57/3=19. 3/3=1.

19=x.

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Answer:

7

Step-by-step explanation:

1) 1 m = 1000 mm, then to calculate the required time in months

2) 1000/12≈83.3 [months];

3) if 12 months=1year, then 83.3 months are 83.3/12≈6.94=7 [years].