How do you solve 16/48 = n/36?

a) Number of bit string = 220

b)  Number of bit string = 299

c)  Number of bit string = 4017

d)  Number of bit string = 924

Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant.

Given:

a) n= 12, r= 3

[tex]^{12}C_3[/tex] = 12! / 3! 9 !

      = 12 x 11 x 10 x 9! / 3 x 2 x 9!

      = 220

b)  n= 12, r ≤ 3

[tex]^{12}C_3[/tex] = 12! / 3! 9 !

      = 12 x 11 x 10 x 9! / 3 x 2 x 9!

      = 220

[tex]^{12}C_2[/tex] = 12! / 2! 10 !

      = 12 x 11 x 10! / 2 x 10!

      = 66

[tex]^{12}C_1[/tex] = 12! / 1! 11!

      = 12

[tex]^{12}C_0[/tex] = 12! / 0! 12 !

      = 12 x 11 x 10 x 9! / 3 x 2 x 9!

      = 1

So, total number of bit strings = 220 +66 + 12 +1 =299

c)  n= 12, r ≥ 3

[tex]^{12}C_3[/tex] = 12! / 3! 9 !

      = 12 x 11 x 10 x 9! / 3 x 2 x 9!

      = 220

[tex]^{12}C_4[/tex] = 495

[tex]^{12}C_5[/tex] = 792

[tex]^{12}C_6[/tex] = 924

[tex]^{12}C_7[/tex] = 792

[tex]^{12}C_8[/tex] = 495

[tex]^{12}C_9[/tex] = 220

[tex]^{12}C_{10[/tex] = 66

[tex]^{12}C_{12[/tex] = 12

[tex]^{12}C_{12[/tex] = 1

So, total String= 4017

d)  n= 12 and r= 6

[tex]^{12}C_6[/tex] = 12!/ 6! 6!

       = 12 x 11 x 10 x 9 x 8 x 7 x 6! / 6! 6!

       = 924

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Answer:There are no choices but i do this type of work on edge so i could proably do it without the choices.

Step-by-step explanation:Answer would be (3x-2)(2x+3)

3x times 2x would be 6x squared  3x times 3 is 9x -2 times 2x is -4x

9x-4x is 5x and -2 times 3 is -6

Hope this helps:)

HAPPY NEW YEARS

Therefore, the slope of the line of best fit is 1.4.

Average By adding a collection of numbers and then dividing by their count, the arithmetic mean—also known as the median—is determined. For instance, 30 divided by 6 equals 5, which is the https://brainly.com/question/24057012of 2, 3, 4, 5, 7, and 10.

To find the slope of the line of best fit, you will need to use the formula:

slope = (mean(x) * mean(y) - mean(x*y)) / (mean(x)^2 - mean(x^2))

where x represents the average daily temperature and y represents the total ice cream sales.

First, you will need to calculate the mean of x, the mean of y, the mean of x*y, and the mean of x^2.

The mean of x is (56.1 + 60.3 + 64.2 + 66.4 + 71.3 + 73.9 + 74.2 + 75.2 + 80.1 + 84.8) / 10 = 71.54

The mean of y is (107 + 116 + 120 + 122 + 125 + 130 + 132 + 135 + 141 + 152) / 10 = 128.6

The mean of xy is (56.1107 + 60.3116 + 64.2120 + 66.4122 + 71.3125 + 73.9130 + 74.2132 + 75.2135 + 80.1141 + 84.8*152) / 10 = 8707.7

The mean of x^2 is (56.1^2 + 60.3^2 + 64.2^2 + 66.4^2 + 71.3^2 + 73.9^2 + 74.2^2 + 75.2^2 + 80.1^2 + 84.8^2) / 10 = 6043.17

Plugging these values into the formula for the slope, we get:

slope = (71.54 * 128.6 - 8707.7) / (71.54^2 - 6043.17) = 1.4

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Transfer of balance The interest rate for balance transfers to credit cards is expressed as an annual percentage rate, or APR. A starting balance is offered with some cards assume you have got poor credit .

The interest rate you pay on purchases when your credit card balance is still high is known as a purchase annual percentage rate (APR). A credit card's APR, which is applied each month, is an annualized percentage rate.

Transfer of balance The interest rate for balance transfers to credit cards is expressed as an annual percentage rate, or APR. A starting balance is offered with some cards assume you have got poor credit .

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The number line of the set C ={x : x ≤ -3} is attached

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

Set C ={x:x<=-3}

Rewrite properly

So, we have

Set C ={x : x ≤ -3}

Remove the curly braces from the set notation

So, we have the following representation

x ≤ -3

There are no multiples and factors to divide or multiply

Also, there are no terms to subtract or add

This means that the inequality to represent on the number line is x ≤ -3

See attachment for the number line

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The equation of line in point-slope form is y + 7  = -1/2(x - 6).

What is an equation of a line?

The slope of the line and a point on the line can be used to create the equation of a line. To better comprehend how the equation for a line is formed, let's learn more about the line's slope and the necessary point on the line. The slope of the line, which can be stated as a numeric integer, fraction, or the tangent of the angle it forms with the positive x-axis, is the line's inclination with respect to the positive x-axis. The coordinate system's point with the x coordinate and the y coordinate is referred to as the point.

Given points are (2,-5) and (6,-7).

The  point-slope form of a line is y - y₁ = m(x - x₁).

The slope of the line that passes through the points (2,-5) and (6,-7) is

(-7 - (-5))/(6 - 2) = -2/4 = -1/2

Putting m =  -1/2 and x₁ = 6 ,  y₁ = -7 in y - y₁ = m(x - x₁):

y - (-7) = -1/2(x - 6)

y + 7  = -1/2(x - 6)

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The value of m in the diagram is 18°

What is a right-angle?

A right angle is an angle of 90°. When two rays intersect and form a 90˚ angle or are perpendicular to each other at the intersection, they are said to form a right angle.

A right angle is an angle that measures 90 degrees. It is the most commonly seen angle in our day-to-day life.

From the diagram, the two angles sum up to 90°

∠WZX + ∠XZY = ∠WZY

3m + 3 + 33 = 90

3m + 36 = 90

3m = 90 - 36

3m = 54

m = 54/3

m = 18°

In conclusion the value of m is 18°

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Answer:

y = -5/6 x + 4

Step-by-step explanation:

y = mx + b

m = slope = (-1 - 14)/(6 - (-12)) = -15/18 = -5/6

y = -5/6 x + b

14 = -5/6 × (-12) + b

14 = 10 + b

b = 4

y = -5/6 x + 4

180 people would the elevator carry than if all the passengers were​ adults.

What is the meaning of times?

The mathematical symbol is used to represent the multiplication operation and the consequent product. It is often referred to as the times sign or the dimension sign.

Given an elevator can carry 25 adults or 30 children at one time.

One day the elevator carries a full passenger load 36 times.

If the elevator carries all adults, then it carries (25 × 36) = 900 adults.

If the elevator carries all children, then it carries (30 × 36) = 1080 adults.

If all the passengers were​ children, then the elevator carry more than (1080 - 900) = 180 people if all the passengers were​ adults.

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The answer to this question would be 5 by 9.

Therefore the solution to the difference of fraction comes out to be

12/95

Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, and three-quarters, denotes the number of components of a specific size when used in conversational English.

Here,

the given fractions are 3/5 and 9/19

and to find the difference

we take lcm of both denominators

=>  3/5-9/19

=>  (3*19-9*5)/5*19

=>  (57-45)/95

=> 12/95

Therefore the solution to the difference of fraction comes out to be

12/95

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A parabola is a curved form that represents the graph of a quadratic function. The vertex of a parabola is one of its focal points. The highest or lowest point on the graph corresponds to it. Consider it similar to the parabola's endpoint.

What does the term "quadratic function" mean?

A quadratic function has the formula f(x) = ax2 + bx + c, with a, b, and c being integers and a not equal to zero. A parabola is the shape of a quadratic function's graph.

                 The basic "U" shape of a parabola is the same whether it opens upward or downward, or with a different "width" or "steepness."

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Answer:

3 years

Step-by-step explanation:

Let x = number of years, and let y = height at x years.

Lawson:

Initial height: 14

Annual growth: 3

equation: y = 3x + 14

Ezra:

Initial height: 8

Annual growth: 5

equation: y = 5x + 8

We want to know the number of years, x, when the heights are equal.

y = y

3x + 14 = 5x + 8

-2x = -6

x = 3

The equivalent of the expressions are as follows;

Two expressions are said to be equivalent if they have the same value irrespective of the value of the variable(s) in them.

Two expressions are equivalent if:

Hence, let's simplify the expression to find it equivalent.

Therefore,

3(3t - 4) - (2t + 10)

open the bracket

9t - 12 - 2t - 10

7t - 22

5(2t + 1) + (-7t + 28)

10t + 5 - 7t + 28

3t + 33

[tex](4t -\frac{8}{5} ) - (3-\frac{4}{3}t ) = 4t+\frac{4}{3}t - \frac{8}{5}- 3 = \frac{12t+4t}{3} +\frac{-8-15}{5} = \frac{16}{3}t - \frac{23}{5}[/tex]

[tex](-\frac{9}{2}t+4 )+(\frac{7}{4}t+33 ) = -\frac{9}{2}t+ \frac{7}{4}t + 4 + 33 = \frac{-18t+7t}{4} + 37 = \frac{25}{4}t+ 37[/tex]

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Answer:

9/20 or 0.45

Step-by-step explanation:

The least common multiple of 12, 20 and 6 is 60. Reducing the fractions to the denominator 60 we have:

[tex] \bold{ \dfrac{7}{12} + \dfrac{4}{20} - \dfrac{2}{6} = \dfrac{35}{60} + \dfrac{12}{60} - \dfrac{20}{60} } \\ \\ \bold{= \frac{35 + 12 - 20}{60} = \frac{27}{60} = \frac{9}{20} }[/tex]

If any addend is an integer, an I is placed as denominator and the same operation is done.

G= K (given)

J= M. (given)

HJ= LM (given)

So proved that the GHJ = KLM...

Both the triangle are congruent by AAS(Angle Angle Side) rule...

Answer:a=6,25

Step-by-step explanation:

i did the test yesterday

The solution of the equation 34(2a − 6) + 12 = 25(3a + 20) + a will be negative 86.5.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The equation is given below.

34(2a − 6) + 12 = 25(3a + 20) + a

Simplify the equation, then the value of the variable 'a' is given as,

34(2a − 6) + 12 = 25(3a + 20) + a

68a − 204 + 12 = 75a + 500 + a

68a − 192 = 76a + 500

Simplify the equation further, then the value of the variable 'a' is given as,

76a − 68a = − 192 − 500

8a = − 692

a = − 692 / 8

a = −86.5

The solution of the equation 34(2a − 6) + 12 = 25(3a + 20) + a will be negative 86.5.

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Answer:

Step-by-step explanation:

This distance can be calculated by using the distance formula. The distance between two points ( x 1 , y 1 ) and ( x 2 , y 2 ) can be defined as d = ( x 2 − x 1 ) 2 + ( y 2 − y 1 ) 2 .Jun 2, 2017

The probability that the battery lasts between 12,000 and 14,000 miles is approximately 0.084.

The number of miles that a car can run before its battery wears out follows an exponential distribution with an average value of 11,000 miles. The probability that the battery lasts between 12,000 and 14,000 miles can be calculated as follows:

P(12,000 < x < 14,000) = P(x < 14,000) - P(x < 12,000)

To calculate the probabilities on the right-hand side of the equation, we can use the formula for the cumulative distribution function (CDF) of an exponential distribution:

F(x) = 1 - e^(-x/λ)

where λ is the mean value of the distribution. In this case, λ = 11,000 miles.

Plugging in the values and solving, we get:

P(12,000 < x < 14,000) = F(14,000) - F(12,000)

= (1 - e^(-14,000/11,000)) - (1 - e^(-12,000/11,000))

= e^(-12,000/11,000) - e^(-14,000/11,000)

≈ 0.242 - 0.158

≈ 0.084

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Answer: 68 seconds

Step-by-step explanation:

Answer: 68sec

Step-by-step explanation:

For the standard normal distribution , the probability will be 0.0401 which means option a is the correct choice.

A standard deviation (or σ) is a degree of ways dispersed the records is when it comes to the mean. Low general deviation approach records are clustered across the mean, and excessive general deviation suggests records are extra unfold out.

Using a standard normal table the area to the right of z = 1.75 is given by

P(z > 1.75) = .0401

Therefore, the correct option is a.

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1. The percentages chosen are given as follows:

2. The maximum amount that can be spent in each category is given as follows:

The percentages for each of the four applications can be divided in any form, as long as the sum of the five percentages is of 100%.

This is the case for the attributed percentages, as:

35 + 20 + 20 + 20 + 5 = 100.

The maximum amounts are found applying the proportions, multiplying the decimal equivalents of the maximum percentages by the bi-weekly net pay of $1,502.45.

Then the amounts in this problem are calculated as follows:

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Answer:

[tex] \huge{ \boxed{f(g(x)) = 4 {x}^{4} - 12 {x}^{3} + 15 {x}^{2} - 9x - 10 \\ }}[/tex]

Step-by-step explanation:

[tex]f(x) = {x}^{2} + 7x \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ g(x) = - 2 {x}^{2} + 3x - 5[/tex]

To find f(g(x)), substitute g(x) into f(x). That is for every x found in f(x) replace it with g(x) and solve.

[tex]f(g(x)) = {( - 2 {x}^{2} + 3x - 5) }^{2} + 7( - {2x}^{2} + 3x - 5) \: \: \: \: \: \: \: \: \: \: \\ \\ = (4 x^4 - 12 x^3 + 29 x^2 - 30 x + 25) + (-14 x^2 + 21 x - 35) \\ = 4 {x}^{4} - 12 {x}^{3} + 29 {x}^{2} - 14 {x}^{2} - 30x + 21x + 25 - 35 \\ \\ = 4 {x}^{4} - 12 {x}^{3} + 15 {x}^{2} - 9x - 10[/tex]

We have the final answer as

[tex]f(g(x)) = 4 {x}^{4} - 12 {x}^{3} + 15 {x}^{2} - 9x - 10 \\ [/tex]

The section A has total seats of, 25000, section B has got 14,700 and section C has got total 10,300 seats.

Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.

As per the given equations in the question,

A + B + C = 50,000   (i)

42A + 24B + 18C = 1,588,200     (ii)

A = B + C    (iii)

Substitute value of A from (iii) to (i),

2B + 2C = 50000

B + C = 25,000   (iv)

Similarly, substitute value of (iii) in equation (ii),

42 (B +C) + 24B + 18C = 1588200

66B + 60C = 1588200

33B + 30C = 794100  (v)

Multiply 33 in equation (iv) and subtract from (v)

-3C = -30900

C = 10,300 seats.

Now,

B + C = 25000

B = 25000 - 10300

B = 14,700 seats.

And,

A = B + C

A = 10300 + 14700

A = 25000 seats.

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The probability that 3 out of 7 randomly chosen processors have computing speeds of 3.55 or higher is 0.2937.

In the given question,

Suppose computing speed of processors are normally distributed with mean 3.5GHz with standard deviation 0.26GHz

We have to find the probability that 3 out of 7 randomly chosen processors have computing speeds of 3.55 or higher.

Probability that 3 out of 7 randomly chosen processors clocks a speeds of 3.55 or higher is given

p = 0.4247

Now the probability follows a Binomial Distribution with the parameters, n=7 ad p=0.4247

P(X=x) = [tex]^nC_{k}(p)^k(1-p)^{n-k}[/tex]

Now putting the values

P(X=x) = [tex]^7C_{3}(0.4247)^3(1-0.4247)^{7-3}[/tex]

After solving;

P(X=x) = 0.2937

Hence, the probability that 3 out of 7 randomly chosen processors have computing speeds of 3.55 or higher is 0.2937.

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The write question is:

Suppose computing speed of processors are normally distributed with mean 3.5GHz with standard deviation 0.26GHz. The probability that a randomly selected processor clocks a speed of 3.55 or higher is 0.4247.

What is the probability that 3 out of 7 randomly chosen processors have computing speeds of 3.55 or higher?

The statement that can be concluded from the fact that the area of square ABHI plus the area of square BCDE is equal to the area of square EFGH is of:

D. BE² + BH² = EH².

The area of a square of side length s is given by the side length squared, as follows:

A = s².

Hence the areas of each square on the image given at the end of the answer are given as follows:

Hence the correct statement regarding the areas is given as follows:

BE² + BH² = EH².

Meaning that statement D is correct.

The problem is given by the image shown at the end of the answer.

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Answer:

579.67 yards

Step-by-step explanation:

Answer:

≈579.67 yards

Step-by-step explanation:

1. convert feet into yards

1 foot = 1/3 yards

2. use dimensional analysis

[tex]\frac{1739feet}{1}[/tex] * [tex]\frac{1/3 yards}{1 foot}[/tex]

3. multiple straight across

1739 feet * 1/3 yards

answer: ≈579.67 yards

The length of each side of the given square is 3.306 yards.

A square is a regular quadrilateral in Euclidean geometry, which means that it has four equal sides and four equal angles.

It can alternatively be explained as a rectangle with two neighboring sides that are of equal length.

In geometry, a square is a flat shape with four equal sides and four right angles (90°).

A square is a unique sort of parallelogram as well as an equilateral rectangle (an equilateral and equiangular one).

So, we have the area of the square as:

1.21 yards²

Area formula of square: A = s²

Now, calculate to find the length of the square as follows:

A = s²

1.21 = s²

s = 4/1.21

s = 3.306

Therefore, the length of each side of the given square is 3.306 yards.

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Answer:  -72·a^8·b^9

Step-by-step explanation:

(-8·a^6·b³)(9·a²·b^6)

combine all the like terms:

-72·a^8·b^9

By using graphical method, it can be seen that-

(-4, 8) satisfies the system of inequality

So third option is correct

What is linear inequation?

Inequation shows the comparison between two algebraic expressions by connecting the two algebraic expressions by  >, <, ≥, ≤.

A one degree inequation is known as linear inequation.

The system of linear inequation is to be solved graphically

For y  ≥ -3x-4

The line passes through (0, -4) and ([tex]-\frac{4}{3}, 0[/tex])

Since (0, 0) satisfies the line, shaded region is towards the origin

Now, as equality is maintained, line is a solid line

The above line is plotted by a red line

For [tex]y \geq \frac{1}{2}x-6[/tex]

The line passes through (0, -6) and (12, 0)

Since (0, 0) satisfies the line, shaded region is towards the origin

Now, as equality is not maintained, line is a dotted line

The above line is plotted by a blue line

From the intersection of two shaded regions, it can be seen that (-4, 8) satisfies the system of inequality

So third option is correct

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