Refer To The Equation 2x-6y=12
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Answer:

The minimum percentage of stores that sell a gallon of milk for between $3.65 and $4.17 is of 75%.

Step-by-step explanation:

Chebyshev Theorem

The Chebyshev Theorem can also be applied to non-normal distribution. It states that:

At least 75% of the measures are within 2 standard deviations of the mean.

At least 89% of the measures are within 3 standard deviations of the mean.

An in general terms, the percentage of measures within k standard deviations of the mean is given by [tex]100(1 - \frac{1}{k^{2}})[/tex].

In this question:

We have a mean of $3.91 and a standard deviation of $0.13.

Using Chebyshev's Theorem, what is the minimum percentage of stores that sell a gallon of milk for between $3.65 and $4.17?

3.65 = 3.91 - 2*0.13

4.17 = 3.91 + 2*0.13

Within 2 standard deviations of the mean, so, by the Chebyshev's Theorem, the minimum percentage of stores that sell a gallon of milk for between $3.65 and $4.17 is of 75%.

Answer: The radius of the hemisphere is (R) = 28 cm

Answer: [tex]\dfrac{x^2+1}{2}[/tex]

Step-by-step explanation:

Given

[tex]f(x)=\sqrt{2x-1}[/tex]

We can write it as

[tex]\Rightarrow y=\sqrt{2x-1}[/tex]

Express x in terms of y

[tex]\Rightarrow y^2=2x-1\\\\\Rightarrow x=\dfrac{y^2+1}{2}[/tex]

Replace y be x to get the inverse

[tex]\Rightarrow f^{-1}(x)=\dfrac{x^2+1}{2}[/tex]

To prove, it is inverse of f(x). [tex]f(f^{-1}(x))=x[/tex]

[tex]\Rightarrow f(f^{-1}(x))=\sqrt{2\times \dfrac{x^2+1}{2}-1}\\\\\Rightarrow f(f^{-1}(x))=\sqrt{x^2+1-1}\\\\\Rightarrow f(f^{-1}(x))=x[/tex]

So, they are inverse of each other.

9514 1404 393

Answer:

  43.1 in³

Step-by-step explanation:

The volume can be computed using the formula ...

  V = (π/4)d²h . . . . where d is the diameter and h is the height

For your dimensions, the volume is ...

  V = (π/4)(2.8 in)²(7 in) ≈ 43.103 in³

A full can contains a volume of about 43.1 cubic inches.

9514 1404 393

Answer:

  f(5) = 160

Step-by-step explanation:

The first several terms of the sequence are ...

  10, -20, 40, -80, 160, -320, 640, ...

Each term is -2 times the previous term.

  f(5) = 160

Answer:

7480 hours

Step-by-step explanation:

440 - 100 = 340

LCM of 440 and 340

440 = 2 × 2 × 2 × 5 × 11

340 = 2 × 2 × 5 × 17

LCM = 2 × 2 × 2 × 5 × 11 × 17

LCM = 7480

Answer:

El 5 y el 3

Step-by-step explanation:

La primera y la segunda saldrá un negativo ya que hay un negativo y con eso nunca saldrá positivo.

La tercera es 0, no es positivo ni negativo

La cuarta y quinta es positivo

Answer:

x = 6

m<1 = 20°

m<CFE = 140°

Step-by-step explanation:

m<1 = (3x + 2)°

m<2 = (5x - 10)°

✔️Given that FB bisects AFC, therefore,

m<1 = m<2

Substitute

3x + 2 = 5x - 10

Collect like terms and solve for x

3x - 5x = -2 - 10

-2x = -12

-2x/-2 = -12/-2

x = 6

✔️m<1 = 3x + 2

Plug in the value of x

m<1 = 3(6) + 2

m<1 = 18 + 2

m<1 = 20°

✔️m<CFE = 180° - m<AFC (angles on a straight line)

m<CFE = 180° - (m<1 + m<2)

m<CFE = 180° - (20 + 20)

m<CFE = 180° - 40°

m<CFE = 140°

Answer:

first and third option are correct.

Step-by-step explanation:

6(x+3)

=6*x + 6*3

=6x + 18

Answer:

[tex]P(Yellow) = \frac{29}{147}[/tex]

Step-by-step explanation:

Given

[tex]Brown = 27\\Purple = 47\\Yellow = 29\\Green = 44[/tex]

Required

[tex]P(Yellow)[/tex] --- next roll to be yellow

This is calculated as:

[tex]P(Yellow) = \frac{Yellow}{Total}[/tex]

So, we have:

[tex]P(Yellow) = \frac{29}{27 + 47 + 29 + 44}[/tex]

[tex]P(Yellow) = \frac{29}{147}[/tex]

Answer:

62

Step-by-step explanation:

In one minute Anna called 2 people

the next minute the 2 people each called 2 people making it 4 so I'll draw something like a branch chain to calculate so it will look like the fig above

I'm not too sure but I tried my best.

#CarryOnLearning

Answer:

D

Step-by-step explanation:

Have a nice day :)

Answer:100 degrees

Step-by-step explanation: Multiply 50 by two by in inscribed angle therom.

ABC is 100

The central angle that creates the intercepted arc's central angle, or the arc measure, is expressed in degrees. Arc length can be estimated as a percentage of the circle's circumference by multiplying the circle's diameter by the arc length, divided by 360.

θ = arc* 2

θ = 50*2 = 100

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Answer: 12+6x

Step-by-step explanation:

three more means addition +3

the product of 6 and a number means multiplying 6 by a variable 6x

increased by 9 means addition +9

put it together and we have 3+6x+9

now we combine like terms

3+9+6x

12+6x

Answer:

-3

Step-by-step explanation:

change in y over the change in x

pick to points and use slope formula

9-3

0-2

that's 6/-2 = -3

Answer:

the answer is d trust me 0.22

Step-by-step explanation:

Answer:

6 1/6

Step-by-step explanation:

Divide the numerator (19) by the denominator (6)

Write down the whole number result which in this case would be 3

Use the remainder as the new numerator over the denominator. This is the fraction part of the mixed number. which in this case is 1/6

therefore the answer is 6 1/6

Step-by-step explanation:

here is your answer

here is your answer

Answer:

a) The 99% confidence interval for the proportion of all students who had use of a computer at home and give it in interval notation is (0.709, 0.911).

b) 0.81

c) 0.039.

d) 0.101

Step-by-step explanation:

Question a:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

In a randomly selected sample of 100 students at a University, 81 of them had access to a computer at home.

This means that [tex]n = 100, \pi = \frac{81}{100} = 0.81[/tex]

99% confidence level

So [tex]\alpha = 0.01[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.81 - 2.575\sqrt{\frac{0.81*0.19}{100}} = 0.709[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.81 + 2.575\sqrt{\frac{0.81*0.19}{100}} = 0.911[/tex]

The 99% confidence interval for the proportion of all students who had use of a computer at home and give it in interval notation is (0.709, 0.911).

b) Give the value of the point estimate described in this scenario.

Sample proportion of [tex]\pi = 0.81[/tex]

c) Give the value of the standard error for the point estimate.

This is:

[tex]s = \sqrt{\frac{\pi(1-\pi)}{n}} = \sqrt{\frac{0.81*0.19}{100}} = 0.039[/tex]

The standard error is of 0.039.

d) Give the value of the margin of error if you were to calculate a 99% confidence interval.

This is:

[tex]M = zs = 2.575*0.039 = 0.101[/tex]

Answer:

Yes there is alternative way in solving and arithmetic sequence .An arithmetic sequence is a list of numbers with a definite pattern. If you take any number in the sequence then subtract it by the previous one, and the result is always the same or constant then it is an arithmetic sequence.

9514 1404 393

Answer:

  55°

Step-by-step explanation:

Adjacent angles in a parallelogram are supplementary.

  m∠GDE = 180° -m∠FGD = 180° -125°

  m∠GDE = 55°

Answer: 34767.2

Step-by-step explanation:

given p = $16,000, n = 14 years, y = 5.7%

amount in bank after 14 years = p ( 1 + </100)

= 16,000 (1 + 5.7/ 100) 14

= 34767.2

Answer:

Step-by-step explanation:

Required formula:

Substitute values and solve:

Answer:

the first question is x=68/3 in standard from it is 3x=68

the second question is x= - 11/10

Step-by-step explanation:

for the second question the negative is beside the fraction.

The required value of function g is (-4x - 5)/(x+2) and graph is shown below.

The parent function of a function is the simplest form of the function, which satisfies all the conditions of the given function.

Given that,

Parent function f(x) = 3/x,

And function g(x) = f(x + 2) - 4.

To find the graph of function g(x), first determine the value of function g(x),

Substitute x = x+2 in function f(x), to determine g(x),

g(x)  = 3/(x+2) -4

       = 3-4(x+2)/x+2

       = 3 - 4x - 8/(x + 2)

       = (-4x - 5)/(x+2)

The required function g(x) is (-4x - 5)/(x+2) .

The graph of function g(x) is shown below.

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Answer:

15/17

Step-by-step explanation:

cos=opp/adj

cos C=15/17

Answer:

10.A

11.A

12.A

Step-by-step explanation:

thank me later

Step-by-step explanation:

A line with the specific numbers plotted on it, numerical order

Answer:

1- Put the letter A on positive 7

2- Put the letter B on positive 5

3- Put the letter C on 0

4- Put the letter D on negative 4

5- Put the letter E on negative 9

Answer:

-15

Step-by-step explanation:

So it's a-1-2x.

rewrite as -4-1-(2*5)

-4-1-10

-4+-1-10

-5+-10

-15

Answer:

- 15

Step-by-step explanation:

a - 1 - 2 x

- 4 - 1 - 2 ( 5 )

- 5 - 10

- 1 5

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

Explanation:

We have n = 6 sides, so the interior angles must add to 180(n-2) = 180(6-2) = 720 degrees

Lets add up the angles, set the sum equal to 720 and solve for x

x+2x+115+2x+115+2x = 720

7x+230 = 720

7x = 720-230

7x = 490

x = 490/7

x = 70

This makes angle 2x = 2*70 = 140 degrees

We see that x = 70 is the smallest angle, so that's why C is the answer.