2/13 = 0.153846 In the decimal above, 1 is the first digit in the repeating pattern. What is the 279th digit?​

[tex]\boldsymbol{\sf{3n\left(\dfrac{1}{4}\right)=16\dfrac{1}{2} } }[/tex]

Multiply both sides of the equation by 4, the lowest common denominator of 4.2.

[tex]\boldsymbol{\sf{ 12n\times\left(\dfrac{1 }{4}\right)=2(16\times2+1) }}[/tex]

Multiply 12 and 1/4, because once multiplied, we get the following 12/4.

[tex]\boldsymbol{\sf{\dfrac{12}{4}n=2(16\times2+1) \ \ \longmapsto \ \ [Divide \ 12 \div 4.] }}[/tex]

[tex]\boldsymbol{\sf{3n=2(16\times2+1) \ \ \longmapsto \ \ [ Multiply \ 16\times 2] }}[/tex]

[tex]\boldsymbol{\sf{3n=2(32+1) \ \longmapsto \ \ [Add] }}[/tex]

[tex]\boldsymbol{\sf{3n=2\times33 \ \ \longmapsto \ \ [Multiply] }}[/tex]

[tex]\boldsymbol{\sf{3n=66}}[/tex]

Divide both sides by 3.

[tex]\boldsymbol{\sf{n=\dfrac{66}{3} \ \longmapsto \ \ [Split] } }[/tex]

[tex]\boxed{\boldsymbol{\sf{n=22}}}[/tex]

Once the exercise is solved, we find that the value of n is 22.

The parent function of the function represented in the table is exponential.

If function f was translated down 4 units, the f(x) values would be decreased by 4.

A point on the table for the transformed function would be (4, 87).

The hypothesis shows that we have evidence that the proportion surviving after eating organic is higher.

The following can be deduced from the information:

x1 = 275

x2 = 170

n1 = 500

n2 = 500

The sample proportion will be:

p1 = 275/500 = 0.55

p2 = 170/500 = 0.34

The pooled proportion will be:

= (275 + 170)/(500 + 500)

= 0.44

The test statistic is 6.681. It should be noted that the test statistics is a number that's calculated by a statistical test. It shows how the observed data are far from the null hypothesis.

The p value in this scenario is extremely small. The p value is a measurement used to validate a hypothesis against the observed data. Therefore, we have to reject the null hypothesis.

In this case, the hypothesis shows that we have evidence that the proportion surviving after eating organic is higher.

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Answer:3 3/4 meters

Step-by-step explanation:

6/(1 3/5)=3.75 meters or 3 3/4 meters

The number of Levi's common shares that were outstanding on 12/31/2020 is 16,000,000 shares.

This refers to the number of shares of common stock that a company has issued to investors and company executives.

Total common shares

= $95million  / $5 par shares

= 19 million shares

Outstanding common shares = 19 million shares - 3 million shares

Outstanding common shares = 16,000,000 shares

Therefore, the number of Levi's common shares that were outstanding on 12/31/2020 is 16,000,000 shares.

Full information

The following partial information is taken from the comparative balance sheet of Levi Corporation:

Shareholders’ equity 12/31/2021 12/31/2020

Common stock, $5 par; 29 million shares authorized; 24 million shares issued and 19 million shares outstanding at 12/31/2021; and ____million shares issued and ____shares outstanding at 12/31/2020.

$120million $95million

Additional paid-in capital on common stock 529million 401million

Retained earnings 206million 166million

Treasury common stock, at cost, 5 million shares at 12/31/2021 and 3 million shares at 12/31/2020 (81million) (59million)

Total shareholders’ equity $774million $603million

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Answer:

x < 1/2

Step-by-step explanation:

2(1-x) > 2x

2-2x > 2x

2 > 4x

1/2 > x

Answer:

x<1/2

Step By Step Explanation

Let's solve your inequality step-by-step.

2(1−x)>2x

Step 1: Simplify both sides of the inequality.

−2x+2>2x

Step 2: Subtract 2x from both sides.

−2x+2−2x>2x−2x

−4x+2>0

Step 3: Subtract 2 from both sides.

−4x+2−2>0−2

−4x>−2

Step 4: Divide both sides by -4.

-4x/2>-2/4

x<1/2

Step-by-step explanation:

There is 31 days in May so the probability is

[tex]p(bday \: in \: may) = \frac{2}{31} [/tex]

Answer:

  (a) 48, 52, 54

  (b) 6

  (c) b, c

Step-by-step explanation:

The sample mean is the mean of the sample. The range of sample means is the difference between the largest and smallest. As with all sampling processes, more data gives a better estimate.

The sample means are calculated in the attachment. For the different samples, they are ...

The range of the sample means is the difference between the largest and the smallest:

  range = 54 -48 = 6

More data is better, and the closer the estimates are to each other, the better confidence they offer. The true statements are ...

The rate at which battery charges is 10 percent per minute.

According to the statement

we have given that the charging capacity of battery in the graphical representation.

And we from this we have to find the percentage by which battery charges.

And the graphical representation given is :

The horizontal axis is from zero to thirty-two-point-five with a scale of two point five and is titled Time in minutes. The vertical axis is from zero to one hundred with a scale of five and is titled Capacity, percent charged. The graph of the line is y equals two x plus forty. The graph ends at thirty minutes.

A first quadrant coordinate plane. The horizontal axis is from zero to thirty-two-point-five with a scale of two point five and is titled Time in minutes.

And according to this representation it is clear that the percentage by which battery charges is 10 percentage per minute.

So, The rate at which battery charges is 10 percent per minute.

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Step-by-step explanation:

4)

the surface area is

top and bottom : 2× pentagon (5 sides)

sides : 5× rectangle 14×8 ft²

let's start with the easiest : the rectangles.

5 × 14×8 = 560 ft²

the area of a pentagon is similar to any regular polygon :

n × triangle of side×height (to middle of pentagon) / 2

n = number of sides (5 in our case).

the middle or center of the pentagon is the top vertex of each triangle.

so,

5 × 14×9.63 / 2 = 5 × 7 × 9.63 = 337.05 ft²

and we have 2 of them (top and bottom), so

2×337.05 = 674.1 ft³

in total the surface area is

560 + 674.1 = 1,234.1 ft²

5)

6 sides :

top and bottom : 7×14 rectangle

left and right : 7×8 rectangle

front and back : 8×14 rectangle

so, we have

2× 7×14 = 196 mm²

2× 7×8 = 112 mm²

2× 8×14 = 224 mm²

in total that is : 532 mm²

The minimum number of balls that we need to draw to ensure that we get at least 3 even labeled balls is 4

The total number of balls is

Total = 50

Let k represent the minimum number of balls that we need to draw to ensure that we get at least 3 even labeled balls

Using the pigeonhole principle, we have

n + 1 = k

Where n = 3

So, we have

3 + 1 = k

Evaluate the sum

4 = k

Rewrite the equation as

k = 3

Hence, the minimum number of balls that we need to draw to ensure that we get at least 3 even labeled balls is 4

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The given statement simpson’s paradox occurs whenever including a lurking variable causes you to rethink the direction of an association is true.

Since, we know that

A variable that we did not include in our analysis, that could susbtantially change our intepretation of the data if we did include it, is called a lurking variable.

Including a lurking variable may

And,

When including a lurking variable causes you to re-think the direction of an association, this is called Simpson's paradox.

Hence, the given statement simpson’s paradox occurs whenever including a lurking variable causes you to rethink the direction of an association is true.

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The probability of p(2 aces) is greater than the probability of p(3 diamonds).

Probability is the chance of happening an event or incident. The probability of an event can be calculated by the ratio of the number of favorable events to the total number of events in that sample space.

A deck of cards always has 52 cards.

Out of those 52 cards, there are 4 different aces.

The deck of cards also contains 13 diamonds.

Therefore, the probability of p(2 aces) is the probability of getting at least 2 aces in that 5-card hand is = 2/4 = 1/2 = 13/26.

Now, the probability of p(3 diamonds) is the probability of getting at least 3 diamonds in that 5-card hand is= 3/13 = 6/26.

If we compare these two probabilities, it is clear that the probability of p(2 aces) is greater than the probability of p(3 diamonds).

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The definition of the given piecewise function is:

A piecewise function is a function that has different definitions, depending on the input.

In this problem, for x until 2, the function is the cube function shifted down 3 units, hence the definition is:

[tex]y = x^3  - 3, x \leq 2[/tex]

For x greater than 2, the function is the square function shifted up 6 units, hence the definition is:

[tex]y = x^2 + 6, x > 2[/tex]

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The mean, median, and mode all have the same values in a symmetrical distribution. The mean is frequently chosen as the primary indicator of central tendency in these situations.

The mean, median, and mode frequently occur at the same location in a symmetrical distribution, where the values of variables exist at regular frequencies. The graph's middle can be divided into two sides that mirror one another by drawing a line through it.

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The system of equations when been placed in a matrix yields

[tex]\left[\begin{array}{ccc}650&-1\\120&1\end{array}\right]\left[\begin{array}{ccc}x\\y\end{array}\right] =\left[\begin{array}{ccc}-175\\25080\end{array}\right][/tex]

An equation is an expression that shows the relationship between two or more variables and numbers.

Given the equation:

y = 650x + 175 and;

y = 25080 - 120x

Rearranging the equations gives:

650x - y = -175 and;

120x + y = 25080

Placing the equations in a matrix gives:

[tex]\left[\begin{array}{ccc}650&-1\\120&1\end{array}\right]\left[\begin{array}{ccc}x\\y\end{array}\right] =\left[\begin{array}{ccc}-175\\25080\end{array}\right][/tex]

The system of equations when been placed in a matrix yields

[tex]\left[\begin{array}{ccc}650&-1\\120&1\end{array}\right]\left[\begin{array}{ccc}x\\y\end{array}\right] =\left[\begin{array}{ccc}-175\\25080\end{array}\right][/tex]

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The distance between the two schools on the map is (C) 4.2 inches.

To find the distance:

On the map,2 inches represents 5 miles.

Thus, we can write:

Since the actual distance between the two schools is 10.6 miles.

Multiplying both sides by 10.6 in equation (1).

Therefore, the distance between the two schools on the map is (C) 4.2 inches.

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The complete question is given below:
Kim is drawing a map of the different schools in her school district. she knows that her middle school is 10.6 miles away from the middle school that her best friend attends. if every 2 inches on the map represents 5 miles, how far apart will the two schools be on the map, to the nearest tenth of an inch?

(A) 0.2 inch

(B) 0.9 inch

(C) 4.2 inches

(D) 26.5 inches

Answer:

[0,+♾)

Step-by-step explanation:

|x| function is kinda like a half opened book from (0, 0) and |x+5| is from (–5, 0)

So we can't find any changes for y

so the domain is

[0, +♾)

Answer: Real, equal, rational.

Step-by-step explanation:

[tex]-x^2-8x-16=0\\-(x^2+8x+16)=0\\Multiply \ the\ left \ and\ right \ sides\ of\ the\ equation\ by \ -1:\\x^2+8x+16=0\\x^2+2*x*4+4^2=0\\(x+4)^2=0\\x+4=0\\x=-4.[/tex]

By 15% percent does the population of weeds decrease each day given that the function representing the number of weeds is W(d)=1650(0.85)^d. This can be obtained by using the function representing the exponential decay.

Number of weeds is represented by the function,

W(d)=1650(0.85)^d

⇒ W(d)=1650(1 - 0.15)^d

Here, d = number of days since application

Function representing the exponential decay is,

⇒ A(r) = A(1 - r)^t

where,

A = Initial value

r = Percentage decay

t = duration

By comparing the given function and function representing the exponential decay,

r = 0.15 ≈ 15/100

Or r = 15%    

Therefore, population of weeds will decrease 15% each day.

Hence by 15% percent does the population of weeds decrease each day given that the function representing the number of weeds is W(d)=1650(0.85)^d.

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Answer:

either 885 more or 450 more

Step-by-step explanation:

Monday: 1000

Tuesday: 1000*1.3 = 1300

Wednesday:

I'm assuming 45% more from tuesday?

          1300*1.45 = 1885

or if not:

          1000*1.45 = 1450

either 885 more or 450 more

you can also just do 1000*1.3*1.45 = 1000*1.885 = 1885 if thats what the question means

The factors of the given expression is (4m/n + 5m/n)(5m/n-6n/m).

The given expression is 20m²/n²- 30n²/m² +1.

We need to factorise the given expression.

To factor, a trinomial in the form x²+ bx + c, find two integers, r and s, whose product is c and whose sum is b.

Rewrite the trinomial as x²+ rx + sx + c and then use grouping and the distributive property to factor the polynomial. The resulting factors will be (x + r) and (x + s).

Now, we can rewrite 20m²/n² +1 - 30n²/m² as 20m²/n² +25mn/mn- 24mn/mn- 30n²/m².

=(20m²/n² +25mn/mn)- (24mn/mn- 30n²/m²)

=5m/n(4m/n + 5m/n)-6n/m(4m/n+5n/m)

=(4m/n + 5m/n)(5m/n-6n/m)

Therefore, the factors of the given expression is (4m/n + 5m/n)(5m/n-6n/m).

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Answer:

green=100 jellybeans

Step-by-step explanation:

let the bag be (B)

red jellybeans (R)

yellow jellybeans (Y)

green jellybeans (G)

R=25

Y=3R............(1)

½ of B=G ..........(2)

from equation (1)

Y=3(25)

Y=75

since 1/2 0f the bag are G that means R+Y is equal to the remaining bag

R+Y=75+25=100 which is half of the bag

G that's half of the bag =100

The factored form of the expression is (2x-1)(2x+5) and the x-intercept of the function is 1/4 and -5/2 respectively

Quadratic equations are equations that has a leading degree of 2. Given the quadratic equation below;

y = 4x^2 + 8x -5

The x-intercept is the point where the value of y is zero.

Factorize the resulting expression

y = 4x^2 + 8x -5

y = 4x^2 - 2x + 10x -5

y = 2x(2x-1)+5(2x -1)

y = (2x-1)(2x+5)

The factored form of the expression is (2x-1)(2x+5)

Equate the given factors to zero

(2x-1)(2x+5) = 0

Equate the factors to zero

2x - 1 = 0

2x = 1

x = 1/4

Similarly

2x + 5 = 0

2x = -5

x = -5/2

Hence the x-intercept of the function is 1/4 and -5/2 respectively

C) For the end behavior, as the value of x tends to infinity, hence the y-values tends to infinity

D) In order to plot the graph, the x-intercepts of the will be plotted on the graph and then curve will be created.

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The value of equation which is given is 12.

According to the Statement

we have given the expression and the some values and we have to find the values of the expression after put the given values in it.

So,The given values are:

h = 8. j = -1, and k = -12

And the given equation expression are J³k/h⁰

Now Substitute the value in the expression then

J³k/h⁰

After putting the values the expression become

(-1)³-12/8⁰

(-1)(-12)/1

After solving the value become

12/1

12.

now the value of expression become is the 12 after put all the values in it.

So, The value of equation which is given is 12.

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The results of subtraction of functions are listed below:

There three fundamental binary operators (addition, multiplication, composition) and two secondary binary operators (subtraction, division) for functions. The subtraction is operation derived from addition, defined by the following expression:

(h - f) (x) = h(x) - f(x)       (1)

Now we proceed to develop each expression:

i) (h - f) (x):

ii) m(x) = (g - j) (x):

iii) m(3):

m(3) = 3² + 10 · 3 + 5

m(3) = 9 + 30 + 5

m(3) = 44

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Answer:

the second choice

Step-by-step explanation:

The last two choices could not be correct, because it would need a dashed line.  The line under the greater than or less than symbol mean  that the line is included in the answer and it will be a solid line like you see in the picture.  For both of the top two answers the slope that they y intercept is correct.  You just have to decide is the symbol will be greater than or equal to or less than and equal to.  

If we put 0 in x for in the form y = mx + b, what would y be?

y = 1/3 x - 1

y = 1/3(0) - 1

y = -1

The ordered pair is (0,1).  That is the part that is shaded so that shows us that the second answer is correct.

The number of solutions of a+b+c+d+e+f = 2006 is 9.12 * 10^16

The equation is given as:

a+b+c+d+e+f = 2006

In the above equation, we have:

Result = 2006

Variables = 6

This means that

n = 2006

r = 6

The number of solutions is then calculated as:

(n + r - 1)Cr

This gives

(2006 + 6 - 1)C6

Evaluate the sum and difference

2011C6

Apply the combination formula:

2011C6 = 2011!/((2011-6)! * 6!)

Evaluate the difference

2011C6 = 2011!/(2005! * 6!)

Expand the expression

2011C6 = 2011 * 2010 * 2009 * 2008 * 2007 * 2006 * 2005!/(2005! * 6!)

Cancel out the common factors

2011C6 = 2011 * 2010 * 2009 * 2008 * 2007 * 2006/6!

Expand the denominator

2011C6 = 2011 * 2010 * 2009 * 2008 * 2007 * 2006/720

Evaluate the quotient

2011C6 = 9.12 * 10^16

Hence, the number of solutions of a+b+c+d+e+f = 2006 is 9.12 * 10^16

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Answer: 96

Step-by-step explanation:

A palindrome is a number that is the same when reading in both ways (right to left, and left to right), for example, 121

Then, we have 9 digits, and all the digits need to be even.

the options are: 0, 2, 4, 6, 8.

Now, we can think of a 9-digit number as 9 empty slots, and in each slot, we can put a number.

But because this is a palindrome, the first digit must be equal to the ninth, and the second digit must be equal to the eight, and so on.

So, we can think it as actually only 5 slots, where in each slot, we can put an even number, now let's count the options that we have in each selection.

For the first digit we have 4 options: 2, 4, 6 and 8 (0 is not counted here because if the first digit was a 0, then this would not be a 9-digit number).

for the second digit, we have also 4 options (because we already toked one, but now the 0 can be chosen)

for the third digit, we have 3 options

for the fourth digit, we have 2 options

for the fifth digit, we have only one option.

The total number of combinations is equal to the product of the number of options for each selection:

C = 4*4*3*2*1 = 96