The center of an ellipse is (1,6). One focus is of the ellipse is (-1,6). One vertex of the ellipse is (6,6) what is the equation of the ellipse in standard form

Answer:

what is i don't no the answer

The probability that at most 2 of the next 10 callers will have to wait more than 8 minutes to have their calls answered is 0.810.

As per the question an online customer service department estimates that about 15 percent of callers have to wait more than 8 minutes to have their calls answered by a person.

The department conducted a simulation of 1,000 trials to estimate the probabilities that a certain number of callers out of the next 10 callers will have to wait more than 8 minutes to have their calls answered.

The simulation is shown in the following histogram(graph provided at the end of solution)

Based on the simulation, according to the bar graph , probability of at most 2 callers out of next 10 callers getting awaited by more than 8min is

P(x≤2) = P(0)+P(1)+P(2) {x is number of persons)

= 0.181+0.345+0.284= 0.810

So required probability is 0.810.

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Option D, 4.1 is the correct answer. The mean baseball score is 4.1 given the table of values of baseball scores and score number of students. This can be obtained by using the formula for mean.

Mean can be obtained by the formula,

Mean = \(\frac{sum\ of\ observations}{total\ number\ of\ observations}\)

Sum of basketball scores = 0×1 + 1×2 + 2×5 + 3×3 + 4×6 + 5×7 + 6×9

= 0 + 2 + 10 + 9 + 24 + 35 + 54

total number of basketball scores =  1 + 2 + 5 + 3 + 6 + 7 + 9 = 33

Mean = \(\frac{0+2+10+9+24+35+54}{33}\) = 4.06 ≈ 4.1

Hence the mean baseball score is 4.1 given the table of values of baseball scores and score number of students. Option D, 4.1 is the correct answer.

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The number of admissions and to  the numbers of the  reversed seats will be 654 and 396.

The distributions of weights to the variables involved that established the equilibrium in the calculations is referred to as a result.

Admission to a baseball game is $⁢3.00 for generally admission and $6.50 for reserved seats. the receipts were $4536.00 for 1050 paid admissions.

Let x be the numbers of admissions and y be the number of seats. Then the equation is given as,

x + y = 1050                   ...1

3x + 6.5y = 4536          ...2

From equations 1 and 2, then we have

3(1050 - y) + 6.5y = 4536

3150 - 3y + 6.5y = 4536

3.5y = 1386

y = 396

Then the numbers of x will be given as,

x + 396 = 1050

x = 1050 - 396

x = 654

The number of admissions and the numbers of reversed will be 654 and 396.

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The integral is ln|x + cos(x)| + C, where C represents the constant of integration.

To find the integral of the function 1/(x + cos(x)), we can employ a combination of algebraic manipulation and the use of standard integration techniques. Here's the solution:

First, let's rewrite the integral in a slightly different form to simplify the process:

∫(1/(x + cos(x))) dx

We notice that the denominator, x + cos(x), is not amenable to direct integration. To overcome this, we employ a substitution. Let's set u = x + cos(x). Now, differentiate u with respect to x: du/dx = 1 - sin(x).

Rearranging this equation, we get dx = du/(1 - sin(x)).

Substituting these values, the integral becomes:

∫(1/(u(1 - sin(x)))) du

Next, we simplify further by factoring out 1/(1 - sin(x)) from the integral:

∫(1/(u(1 - sin(x)))) du = ∫(1/u) du = ln|u| + C

Replacing u with its original expression, we have:

ln|x + cos(x)| + C

Therefore, the answer to the integral is ln|x + cos(x)| + C, where C represents the constant of integration.

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Answer:

Happy Friday

Step-by-step explanation:

Answer:

I NEED BRAINLIST URGENTLY

Your answer is y= 4 sin 7 square

Hope that this is helpful. Tap the crown button, Mark my answer as............. BRAINLIST......... Like & Follow me to get more answer.

Answer:

A , B and E.

Step-by-step explanation:

the scientist can control and deal with the measure of manure that is given to a solitary corn plants. thus A is correct.

The reaction variable is the yield recorded for each plot due to the fact that the yield recorded in each plot is needed to check  whether the compost is given or not. choice B is also correct

it's considered an experiment because the specialist is controlling the autonomous variable. then E is a right choice.

From the graph, the coordinate of M and L will be (-1, 3) and (3, 3). Then the equation of the line ML will be y - 3 = 0.

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

The figure below shows parallelograms ABCE, PQRS, and TNLM on a coordinate plane.

The coordinates and relations between the points are:

A(-3,-3), B(5,-3), C(5,5), and E(-3,5)

Then the equation of the line ML will be

From the graph, the coordinate of M will be (-1, 3) and the coordinate of L will be (3, 3).

Then the equation will be

\(\rm y- 3 = \dfrac{3-3}{3+1} (x - 3)\\\\y - 3 = 0\)

Then the equation of the line ML will be y - 3 = 0.

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La ecuación lineal está dada por y = (5/4)x + (1/2)

Una ecuación lineal tiene la forma:

y = mx + b

donde y, x son variables, m es la tasa de cambio y b es el intercepto en y.

Dada la ecuación:

5x/2y-1=2​

Para resolver la ecuación, primero multiplique en cruz:

5x = 4y - 2

4y = 5x + 2

y = (5/4)x + (1/2)

La ecuación lineal está dada por y = (5/4)x + (1/2)

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To make the fractions equivalent, we need to find the missing numerators that would make them equal. Let's fill in the missing numerators:

1/2 and __/8

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:

1/2 and 4/8

Now, the fractions are equivalent.

---

4/12 and __/60

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 5:

4/12 and 20/60

Now, the fractions are equivalent.

---

2/3 and __/12

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:

2/3 and 8/12

Now, the fractions are equivalent.

---

4/4 and __/8

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 2:

4/4 and 8/8

Now, the fractions are equivalent.

The width of the rectangle is 1/9 cm.

The perimeter of the rectangle is 3.2 cm.

A rectangle is a two-dimensional shape where the length and width are different.

The area of a rectangle is given as:

Area = Length x width

We have,

Rectangle:

Area = 1/6 cm²

Length = 1.5 cm

Width = w

Now,

Area = length x width

Perimeter = 2 (length + width)

So,

1/6 = 1.5 x w

w = 1/(6 x 1.5)

w = 1/9 cm

And,

Perimeter.

= 2 (1.5 + 1/9)

= 2 x (13.5 + 1)/9

= 29/9

= 3.2 cm

Thus,

The width of the rectangle is 1/9 cm.

The perimeter of the rectangle is 3.2 cm.

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Answer:

C

Step-by-step explanation:

Substitute -5 for x and 3 for y

y = -2x - 1

3 = -2(-5) - 1

3 = 10 - 1

3 ≠ 9

(-5,3) Is not a solution for this equation.

y = -3/5 x

3 = -3/5(-5)

3 = 3

(-5,3) is a solution for this equation.

Helping in the name of Jesus.

If the random variable x is normally distributed with a mean equal to 0.45 and a standard deviation equal to 0.40, then P(x ≥ .75) is 0.9227.

A z-score describes the position of a raw score in terms of its distance from the mean when measured in standard deviation units. The z-score is positive if the value lies above the mean and negative if it lies below the mean.

Given the problem above, we need to find what the z-score is when P(x ≥ .75).

The formula for calculating a z-score is given by:

\(Z=\dfrac{\text{x}-\mu}{\sigma}\)

Where:

Now,

\(Z=\dfrac{\text{x}-\mu}{\sigma}\)

\(Z=P(\text{x} \geq 0.75) = \huge \text(\dfrac{P(Z \geq (0.75 - 0.45)}{0.40}\huge \text)\)

\(Z= P\huge \text (\dfrac{Z \geq0.30}{0.40}\huge \text)\)

\(Z=P(Z \geq 0.75) = 1 - P(Z < 0.75)\)

\(Z=1 - 0.077337\)

\(Z\thickapprox 0.9227\)

Therefore, the z-score of P(x ≥ .75) is 0.9227.

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Answer:

Function

Step-by-step explanation:

This is a function

Each input goes to only one output

Answer:

Since 7 and 11 are both rational, the sum and difference are rational.

Step-by-step explanation: It's A

Answer:

Since 7 and 11 are both rational, the sum and difference are rational.Step-by-step explanation: A

Answer:

0.03 more flour per cupcake

Step-by-step explanation:

3.12/8 = 0.39

2.52/7 = 0.36

0.39 - 0.36 = 0.03

Hope this helps c:

7. Radius of circle P = 2       Radius of circle Q = 1

Coordinates of the point of tangency (4,2)

The equation of the tangency line is x = 4

8. AB is not a tangent. BC² ≠ AB² + AC²

9. The three radii of the circle are; CB, CF and CD

A diameter of the circle is BD

A tangent of the circle is GE

A chord of the circle is BD

A secant of the circle is AD

A point of tangency is F

7. To find the radius, identify the diameter of the circle. For the diagram, it can be said that the diameter of the circle P is 4.

The radius then is 4/2 = 2.

The radius of circle q is 2/2 = 1

You could also use the formula

Distance = sqrt((x2 - x1)² + (y2 - y1)²)

8. √4² + √12² = √160

√13 = 169

Therefore AB is not tangent. It is less than BC

9. The line that cuts the circle into two halves is the diameter. The lines than further cuts the diameter into equal parts are the radii's

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Answer:

5.6 cm

Step-by-step explanation:

mm to cm is ÷ 10

56 ÷ 10 = 5.6

Answer:

4

Step-by-step explanation:

Set the height of the missing bar to 4 as there are 4 quantities between 21-25.

The number 'n' is equal to 14

In the question, we have been given that the number n is equal to 7 more than half of the number 'n'.

So in these linear equation-solving types of problems, first of all, we convert the written sentence into an equation.

So the equation for the following problem statement is -

n = 7 + n/2  

{since we have been given the number equals 7 more than half of the number }

Solving the equation we have,

n = 14.

We can easily see that 14 is the number which is 7 more than half of itself.

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Answer:

hello your question is poorly written attached below is the complete question

answer

a)  ( 1.9802 , 1.9998 )

b) The population of soft drink does not have to be normally distributed in order to calculate the confidence interval for a sample mean.

c)  A single value of 2.02 is not unusual

d)   (1.9602, 1.9798)

Step-by-step explanation:

A) set up 95% confidence interval estimate

std = 0.05 liter

average ( mean ) X = 1.99 liters

n = 100

95% confidence interval = X ± \(Z_{95%}\) ( std / √n )

                                         = 1.99 ± 1.96 ( 0.05 / √100 )

                                         = ( 1.9802 , 1.9998 )

B) The population of soft drink does not have to be normally distributed in order to calculate the confidence interval for a sample mean. as seen in this scenerio the value of n > 30 and sampling distribution of X  is required instead

C) A single value of 2.02 is not unusual because the confidence interval we calculated above is for 100 samples of the soft drink ( using true population mean ) but when we calculate for a one sample we will observe that the value ( 2.02 ) will not be unusual e.g. ( 2 ± 2*0.05 ) = ( 1.9, 2.1 )

D) when the sample average ( X )  = 1.97

confidence interval =  X ± \(Z_{95%}\) ( std / √n )

                                = 1.97 ± 1.96 ( 0.05 / √100 )

                                =  (1.9602, 1.9798)

There are four sub-parts in the question, whose answers are mentioned below:

Given information:

Mean of sample = \(\overline{x}\) =1.99

Standard deviation of population= \(\sigma\) = 0.05

Size of sample = n = 100

Part a: Setting 95% confidence interval

\(CI = \overline{x} \: \pm Z_{0.95}\dfrac{\sigma}{\sqrt{n}}\\CI = 1.99 \pm 1.96 \times \dfrac{0.05}{10}\\CI = (1.9802, 1.9998)\\\)

Part b: Yes, the population has to be normally distributed here, since the CI here cannot be calculated without it being normally distributed.

Part c: It is because we took n = 100 and not for single value of observation. The single value of observation has 2 liter or value is 2, and 2.02 is near 2 thus not an unusual value.

Part d: If sample average be 1.97, then CI will be as follows:

\(CI = \overline{x} \: \pm Z_{0.95}\dfrac{\sigma}{\sqrt{n}}\\CI = 1.97 \pm 1.96 \times \dfrac{0.05}{10}\\CI = (1.9602, 1.9798)\\\)

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Answer:

events at A and B are independent because P(A)(B)≠P(A)

Answer:

We want to find the following probability:

\( P(X=3)\)

And using the probability mass function we got

\(P(X=3)=(3C3)(0.95)^3 (1-0.95)^{3-3}=0.857\)  

Step-by-step explanation:

Let X the random variable of interest "number of orders on time", on this case we now that:  

\(X \sim Binom(n=3, p=1-0.05=0.95)\)  

The probability mass function for the Binomial distribution is given as:  

\(P(X)=(nCx)(p)^x (1-p)^{n-x}\)  

Where (nCx) means combinatory and it's given by this formula:  

\(nCx=\frac{n!}{(n-x)! x!}\)  

We want to find the following probability:

\( P(X=3)\)

And using the probability mass function we got

\(P(X=3)=(3C3)(0.95)^3 (1-0.95)^{3-3}=0.857\)  

\(solution= \frac{x}{3}=\frac{6}{9}- x=2\\ answer:2ft\)Answer:

Step-by-step explanation:

Answer:

A = 35 cm²

Step-by-step explanation:

the area (A) of a rectangle is calculated as

A = length × width

by counting the squares on the sides

length = 7 cm and width = 5 cm , then

A = 7 × 5 = 35 cm²

a. The store should charge $90

b. The first revenue model results in a greater maximum monthly revenue.

a. We have

R(n) = (120 - 6n)(80 + 8n)

using product ruile

δr/δn = (120 - 6n)(8) + (80 + 8n)(-6)

δr/δn = 960 - 48n - 480 - 48n

δr/δn = -96n + 480

Now, we set the derivative to zero and solve for n:

0 = -96n + 480

96n = 480

n = 5

we put n as 5 in the equation

120 - 6x 5

= 120 - 30

= 90

To maximize the revenue then $90 is charged.

b. For the 4 dollar decrease in price R'(n) = (120 - 4n)(80 + 5n)

Using the product rule, we have:

dR'/dn = (120 - 4n)(5) + (80 + 5n)(-4)

this is = 600 - 20n - 320 - 20n

= -40n + 280

equate to 0

-40n + 280 = 0

n = 7

The new price would then be

120 - 4 * 7

= 120 - 28

= 92 dollars

(120 - 65)(80 + 85)

= 90(120)

= $10,800

(120 - 47)(80 + 57)

= 92(115)

= $10,580

The first revenue model results in a greater maximum monthly revenue.

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The reasonable domain for the function is (b) x > 0

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

The function f(x) = 75x + 100

Where x is the number of hours

f(x) is the total cost.

In this case, the number of hours cannot be negative or 0

This means that the values of x in the function would be x > 0

These values of x are the domain

So, the reasonable domain for the function os (b) x > 0

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Answer:

A)24.8in

Step-by-step explanation:

17^2 + 18^2 =613

sq root of 613 = 24.758...

24.8in

Answer:

The  AILP for management to decide  how many classes should be scheduled for each subject daily is

The objective function is mathematically represented as

       \(M  =  P_c  *  a  + P_w  *  b\)

=>    \(M  = 720  a  + 300  b\)

Now the first constraints to this functions is

     \(t_c  *  x  + t_w * y  \le t_a\)

=>  \( 7.5  x  + 3 y  \le 56\)

Another constraints to this function is

     \(k  x  +  u  y  \le  N\)

=>    \(6  x  +  2  y  \le  100\)

Here x and  y are the number of classes    

Step-by-step explanation:

From the question we are told that

   The time required for each ITC class is  \(t_c  = 7.5 \ hours\)

   The profit of each ITC class is  \(P_c  =  \$ 720\)

   The time require for  CWP  class is  \(t_w  =  3 \  hours\)

    The profit for   CWP  class is  \(P_w  =  \$ 300\)

   The total time available  is \(t_a  =  56 \  hours / day\)

   the maximum number of trainee that can be accommodated in a daily basis is   \(N  =  100\)

   The class size limit for  ITC  is  \(k  =6\)

    The class size limit for CWP is  \(u  =12\)

Generally the aim of Hi-Tech is to maximize profit

So the objective function will be a function that maximizes profit

Generally the objective function is mathematically represented as

       \(M  =  P_c  *  a  + P_w  *  b\)

=>    \(M  = 720  a  + 300  b\)

Now the constraints to this functions are

     \(t_c  *  x  + t_w * y  \le t_a\)

=>  \( 7.5  x  + 3 y  \le 56\)

Another constraints to this function is

     \(k  x  +  u  y  \le  N\)

=>    \(6  x  +  2  y  \le  100\)

Here x and  y are the number of classes