-4x-23=X+41 what is the answer to it.

The possible outcomes of a random experiment and the probability of each outcome is called "a Probability Distribution."

A probability is a statistical formula that indicates all of the potential values and probability distributions for a random variable within a specified range.

Some characteristics regarding the Probability Distribution are-

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Answer:

ans is b hope I helped you

The reasonable solution for the number of buttons of each color in one sack is (20, 11), meaning there are 20 black buttons and 11 white buttons in one sack.

Let's solve the system of equations based on the given information:

Let b be the number of black buttons in one sack and w be the number of white buttons in one sack.

From the first equation, we know that the number of black buttons in one sack is 9 more than the number of white buttons:

b = w + 9

From the second equation, we know that the total number of buttons in one sack is 372 divided by the number of sacks (12):

b + w = 372/12

b + w = 31

We can substitute the value of b from the first equation into the second equation:

(w + 9) + w = 31

2w + 9 = 31

2w = 31 - 9

2w = 22

w = 22/2

w = 11

Substituting the value of w back into the first equation, we can find the value of b:

b = 11 + 9

b = 20

Therefore, the reasonable solution for the number of buttons of each color in one sack is (20, 11), meaning there are 20 black buttons and 11 white buttons in one sack.

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The second derivative of the equation \(x^2 + y^2 = 4\), using implicit differentiation, is \((y' * y' - 1) / (y')^2\).

To find the second derivative using implicit differentiation for the equation\(x^2 + y^2 = 4\), we need to differentiate both sides of the equation with respect to x twice.

Let's start by differentiating both sides of the equation with respect to x:

\(d/dx(x^2) + d/dx(y^2) = d/dx(4)\)

Applying the power rule, we get:

\(2x + 2yy' = 0\)

Next, we differentiate both sides again with respect to x:

\(d/dx(2x) + d/dx(2yy') = d/dx(0)\)

Differentiating 2x and 0 yields 2, and applying the product rule for the term 2yy', we have:

\(2 + 2y(dy/dx) + 2y'(dy/dx) = 0\)

Now, we can isolate the second derivative term, which is\(d^2y/dx^2:2y'(dy/dx) = -2 - 2y(dy/dx)\)

Dividing both sides by 2y, we obtain:

\(dy/dx = (-2 - 2y(dy/dx)) / (2y')\)

Simplifying the equation further, we get:

\(dy/dx = (-1 - y(dy/dx)) / y'\)

Now, we can solve for the second derivative \(dy^2/dx^2\):

\(d^2y/dx^2 = d(dy/dx) / dx\)

Using the quotient rule, we can differentiate\(dy/dx = (-1 - y(dy/dx)) / y'\)with respect to x:

\(d^2y/dx^2 = [(y' * y' - y * d^2y/dx^2) - (1 + y * d^2y/dx^2)] / (y')^2\)

Simplifying the equation further, we have:

\(d^2y/dx^2 = (y' * y' - 1) / (y')^2\)

Thus, the second derivative of the equation\(x^2 + y^2 = 4\), using implicit differentiation, is\((y' * y' - 1) / (y')^2\).

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Answer:

Step-by-step explanation:

\(\sin \left(30^{\circ \:}\right)+\cos \left(60^{\circ \:}\right)-1\\\\\mathrm{Use\:the\:following\:trivial\:identity}:\\\quad \sin \left(30^{\circ \:}\right)=\frac{1}{2}\\\\\mathrm{Use\:the\:following\:trivial\:\\identity}:\\\quad \cos \left(60^{\circ \:}\right)=\frac{1}{2}\\\\=\frac{1}{2}+\frac{1}{2}-1\\\\=0\)

\(\\\cos \left(60^{\circ \:}\right)+\tan \left(30^{\circ \:}\right)-1\\\\\mathrm{Use\:the\:following\:trivial\:identity}:\\\quad \cos \left(60^{\circ \:}\right)=\frac{1}{2}\\\mathrm{Use\:the\:following\:trivial\:identity}:\\\quad \tan \left(30^{\circ \:}\right)=\frac{\sqrt{3}}{3}\\\\=\frac{1}{2}+\frac{\sqrt{3}}{3}-1\\\\=-\frac{1}{2}+\frac{\sqrt{3}}{3}\)

Answer:

Step-by-step explanation:

to solve an equation by completing the square in a quadratic formula

f(x)=ax²+bx+c

example :x²-6x-16=0

first rearrange if necessary, move the constant to one side .

x²-6x=16

second you find a new term to complete the square which is (b/2)², and add the term to both sides.(6/2)²=3²=9

x²-6x+9=16+9

x²-6x+9=25

third  factorize : find the common factor between 6 and 9 which is 3

x²-6x+9=25

(x-3)²=25

last solve for x: (x-3)²=25

x-3=√25

x=3±5

x=3+5=8 or 3-5=-2

Answer:

the better hitter is Kit is the better hitter

Step-by-step explanation:

9/21 is the greatest so hope that helps.

absolute minimum value is 5

and absolute maximum value is 25

given function

h(x) = x^3 + 3 x^2 +5

h'(x) = 3x^2 +6x

h'(x) = 0

3x^2 +6x= 0

3x(x + 2) =0

then x= 0 or -2

when x = -3

then h(-3) =  (-3)^3 + 3 (-3)^2 +5

                =-27 +27+5

                = 5

h( 2) =  (2)^3 + 3 (2)^2 +5

       = 8+12+5

        = 25

h(0) = 5

h(-2) =  (-2)^3 + 3 (-2)^2 +5

       = -8+12+5

       = 9

therefore absolute minimum value is 5

and absolute maximum value is 25

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Answer: \(12\pi\)

Step-by-step explanation:

The formula for area of a circle is \(\pi r^2=A\)

The formula for circumference of a circle is \(2r\pi=C\)

Where r is the radius

A is area

C is circumference

Knowing this we can sub our values in and solve for r in the formula for area

Divide both sides by \(\pi\) to isolate r

\(\pi r^2=A\\\pi r^2=36\pi \\\frac{\pi r^2}{\pi } =\frac{36\pi }{\pi } \\r^2=36\)

Take the square root of both sides

\(r^2=36\\\sqrt{r^2} =\sqrt{36} \\r=6\)

Now sub the value of r into the formula for circumference

\(2r\pi =C\\2(6)\pi =C\\12\pi\)

Answer:

\(12\pi \: c \: m\)

step by step explanation:

\(area \: of \: a \: cirle = \pi \: r {}^{2} \\ circmferene \: of \: a \: circle = 2 \:\pi \: r \\ 36\pi = \pi \: r {}^{2} \\ 36 = r {}^{2} \\ r = 6 \\ for \: circmference \\ 2 \times \pi \: \times 6 = 12\ \: \pi \: cm \)

Answer:

(1.2x - 2)(x - 5) < 2x(.6x + 1)

1.2x² - 8x + 10 < 1.2x² + 2x

10 < 10x

x > 1

3⁴ is 3 times larger than 3³, 5³ is 5 times larger than 5², 7¹⁰ is 49 times larger than 7⁸ and 17⁶ is 289 times larger than 17⁴.

3⁴ / 3³ = (3 × 3 × 3 × 3) / (3 × 3 × 3) = 3

This means that 3⁴ is 3 times larger than 3³.

5³ is 5 times larger than 5².

5³ / 5² = (5 × 5 × 5) / (5× 5) = 5

7¹⁰ is 49 times larger than 7⁸.

7¹⁰/ 7⁸ = 7² =49

17⁶ is 289 times larger than 17⁴.

17⁶ /17⁴ = 289

Hence, 3⁴ is 3 times larger than 3³, 5³ is 5 times larger than 5², 7¹⁰ is 49 times larger than 7⁸ and 17⁶ is 289 times larger than 17⁴.

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To calculate the Internal Rate of Return (IRR) on the incremental investment, we need to determine the present value of the cash flows and solve for the discount rate that makes the net present value of the investment equal to zero.

Let's assume the annual amount payable for the subscription is denoted by A. The cash flows for the subscription can be represented as follows:

Year 1: -A (payment made at the beginning of the first year)

Year 2: -A (payment made at the beginning of the second year)

Year 3: -A (payment made at the beginning of the third year)

Alternatively, if you choose to pay 2.5 times the annual amount now (2.5A) with no additional payments, the cash flow is represented as:

Year 0: -2.5A (payment made at the beginning of the investment)

To calculate the IRR, we need to solve for the discount rate that makes the net present value of the investment equal to zero. The general formula for the net present value (NPV) is:

NPV = CF0 + CF1/(1+r) + CF2/(1+r)^2 + ... + CFn/(1+r)^n

Where CF0, CF1, CF2, etc., represent the cash flows at each time period, and r is the discount rate.

In this case, the NPV of the incremental investment is:

NPV = -2.5A + A/(1+r) + A/(1+r)^2 + A/(1+r)^3

To calculate the IRR, we need to solve the equation NPV = 0 for the discount rate (r). This can be done using numerical methods or financial calculators/software.

To calculate the real IRR, we need to adjust for inflation. The real IRR is the IRR adjusted for the estimated inflation rate. Assuming an estimated inflation rate of 5.1% per year, the real IRR would be the nominal IRR minus the inflation rate.

Real IRR = IRR - Inflation Rate

By subtracting the estimated inflation rate from the nominal IRR, we can obtain the real IRR on the increment.

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We have the data set:

{79, 83, 82, 78, 79, 77, 80, 73, 82, 72}

This data set has 10 items.

To complete the data summary is helpful to sort the data:

{72, 73, 77, 78, 79, 79, 80, 82, 82, 83}

The minimum value is 72.

The quartile divides the data set in 4 parts.

The first quartile is the value for which 25% of the data is below.

The second quartile is the value for which 50% of the data is below. The second quartile is equivalent to the median.

The third quartile is the value for which 75% of the data is below.

In this data set, as its size is a even number, the quartile fall between two positions, so we will calculate the average of this numbers.

The first quartile will fall in the position 0.25*10=2.5. Then we can calculate the 1st quartile as the average between the 2nd and 3rd number of the data set.

This values are 73 (2nd position) and 77 (3rd position), so the average is:

We can repeat this with the other quartiles:

Then:

The first quartile is 75.

The median (second quartile) is 79.

The third quartile is 82.

The maximum value is 83.

Answer:

6:18

Step-by-step explanation:

Number of cookies with nuts = 6

number of total cookies = no. of cookies WITH nuts + no. of cookies WITHOUT nuts.

= 6 + 12 = 18

Ratio of

Number of cookies with nuts : number of total cookies

                      6                        :                    18

Answer:

6:18 is the ratio of cookies with nuts to total cookies.

To conduct a follow-up study that would provide 95% confidence that the point estimate is correct to within +0.08 of the population proportion, the required sample size can be calculated using the formula:

n = [(z^2 * p * q) / E^2]

Where:

z = z-score corresponding to the desired confidence level (1.96 for 95% confidence level)

p = point estimate of the population proportion (0.43 in this case)

q = 1 - p

E = acceptable sampling error (0.08 in this case)

Substituting the values, we get:

n = [(1.96^2 * 0.43 * 0.57) / 0.08^2] = 148.15

Rounding up to the nearest integer, we get a required sample size of 148 consumers.

To conduct a follow-up study that would provide 99% confidence that the point estimate is correct to within +0.08 of the population proportion, we need to use a z-score of 2.58 (corresponding to 99% confidence level) in the formula. Substituting the values, we get:

n = [(2.58^2 * 0.43 * 0.57) / 0.08^2] = 266.85

Rounding up to the nearest integer, we get a required sample size of 267 consumers.

To conduct a follow-up study that would provide 95% confidence that the point estimate is correct to within +0.02 of the population proportion, we need to use the same formula with a different value of E. Substituting the values, we get:

n = [(1.96^2 * 0.43 * 0.57) / 0.02^2] = 1,462.41

Rounding up to the nearest integer, we get a required sample size of 1,463 consumers.

To conduct a follow-up study that would provide 99% confidence that the point estimate is correct to within +0.02 of the population proportion, we need to use a z-score of 2.58 in the formula. Substituting the values, we get:

n = [(2.58^2 * 0.43 * 0.57) / 0.02^2] = 6,614.51

Rounding up to the nearest integer, we get a required sample size of 6,615 consumers. The sample size requirements increase as the desired confidence level increases or as the acceptable sampling error decreases. This means that a larger sample size is needed to achieve a higher level of confidence or a smaller margin of error. For example, increasing the desired confidence level from 95% to 99% or decreasing the acceptable sampling error from 0.08 to 0.02 will result in a significant increase in the required sample size. Therefore, researchers need to carefully balance the trade-offs between the desired level of confidence, the acceptable sampling error, and the available resources (time, budget, etc.) to determine an appropriate sample size for their study.

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Answer: a) \(\dfrac{13}{7}\)

Step-by-step explanation:

Median: Line segment from one vertex of a  triangle to the midpoint of the opposite side. i.e. it bisects the opposite side.

Centriod: Point of intersection of a triangle of its medians

.Also, it is \(\dfrac23\) of the distance from vertex to the midpoint of opposite side.

Given:  CD is a median in triangle ABC and M is centriod.

\(\Rightarrow CM=\dfrac23 CD\)

Since CM = x +5 and CD = 5x + 1

\(\Rightarrow\ x+5=\dfrac{2}{3}(5x+1)\\\\\Rightarrow\ 3(x+5)=2(5x+1)\\\\\Rightarrow\ 3x+15=10x+2\\\\\Rightarrow\ 10x-3x=15-2\\\\\Rightarrow\ 7x=13\\\\\Rightarrow\ x=\dfrac{13}{7}\)

Correct option is a)

Answer:

11/12

Step-by-step explanation:

the common denominator between 4 and 3 is 12 because it is the smallest shared factor. as for what cup they would use for 11/12 beats me lol

The statement that is NOT correct about hypothesis testing is: "We cannot eliminate both type l error and type II error at the same time."

In hypothesis testing, we aim to make a decision about a population parameter based on sample data. Type I error refers to rejecting a true null hypothesis, while Type II error refers to failing to reject a false null hypothesis. While it is not possible to completely eliminate both types of errors simultaneously, we can minimize the chances of committing either of them by choosing an appropriate significance level and conducting a power analysis.

Therefore, the statement that we cannot eliminate both Type I and Type II errors at the same time is incorrect.

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Answer:

36

Step-by-step explanation:

MC : BC : MB = 1 : √3 : 2

MC : BC = 1 : √3

12 : BC = 1 : √3

BC = 12 : 1/√3

BC = 12 × √3/1

BC = 12 × √3

BC = 12√3

MC : MB = 1 : 2

12 : MB = 1/2

MB = 12 : 1/2

MB = 12 × 2/1

MB = 12 × 2

MB = 24

AB = 2BD

AB = 2CD√3

AB = 2(½BC)√3

AB = 2(½ × 12√3) √3

AB = 2 × 6√3 × √3

AB = 12 × √9

AB = 12 × 3

AB = 36

Answer:

a) 3<x<8

b) -4<x<-2

c) -6<x<5

d) -21/4 < x-8/3

e) 0<x<7

Step-by-step explanation:

Given the following inequalities

a)  x > 3, 2x - 3 < 15

Solve 2x - 3 < 15

2x < 15+3

2x<18

x<18/2

x<8

Combine x>3 and x<8

If x>3, then 3<x

On combining, we have:

3<x<8

b) For the inequalities 25 > 1 - 6x, 1 > 3x + 7

25 > 1 - 6x

25-1>-6x

24>-6x

Divide through by -6:

24/-6 > -6x/-6

-4 <x

For the inequality 1 > 3x + 7

1-7>3x

-6>3x

-6/3 > 3x/3

-2 > x

x < -2

Combining both results i.e -4 <x and x < -2, we will have:

-4<x<-2

c) For the inequalities 2x - 7<3< 27 + 4x

On splitting:

2x - 7<3 and 3< 27 + 4x

2x < 3+7

2x<10

x<5

Also for 3< 27 + 4x

3-27<4x

-24<4x

-24/4 < 4x/4

-6<x

Combining both solutions i.e x<5 and -6<x will give;

-6<x<5

d) For the inequalities 3x + 8 <0 < 21 + 4x

3x + 8 <0

3x < -8

x < -8/3

Also for 0 < 21 + 4x

0-21<4x

-21<4x

-21/4 < 4x/4

-21/4 < x

Combining -21/4 < x and x < -8/3 will give;

-21/4 < x-8/3

e) For the inequalities 5x - 36 < -1 < 2x – 1​

Split:

5x - 36 < -1

5x < -1+36

5x<35

5x/5 < 35/5

x < 7

For the expression -1 < 2x – 1​

-1+1 < 2x

0 < 2x

0<x

Combining both inequalities 0<x and x < 7 will give:

0<x<7

Answer:

4 chairs

Step-by-step explanation:

First subtract $220 from $370 and that gives you $150.Then you just keep subtract $35 until that should leave you with $10.

The limit of the function as x approaches zero of (x^2 + 4) can be evaluated by directly substituting the value of x into the function.

To find the limit as x approaches zero, we substitute the value of x = 0 into the function (x^2 + 4).
When we substitute x = 0 into the function, we get:
(0^2 + 4) = 4
Therefore, the limit of the function as x approaches zero of (x^2 + 4) is 4.
Direct substitution is applicable when the function is defined and continuous at the given value of x. In this case, as x approaches zero, we can substitute x = 0 into the function (x^2 + 4) without encountering any undefined or indeterminate forms. The result of direct substitution gives us the value of the function at that particular point. Thus, the limit as x approaches zero is simply the value of the function when x = 0, which is 4.

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Answer:

78 or -82

Step-by-step explanation:

-2+80=78

-2-80=-82

Answer:

Step-by-step explanation:

21) \(\frac{(15x+10)-115}{2}=30\\15x-105=60\\15x=165\\x=11\)

22) \(\frac{151-81}{2}=x+35\\35=x+35\\x=0\)

Answer: 37.5%

Step-by-step explanation:

There are 8 separate area

and among them are 3 Cs.

Thus the probability is

⅜ times 100 = 37.5 (%)