function F is defined by the equation f(x)=x to the power of 2. what is f(2)

The formula for an exponential function is y = 45/8x + 57/8.

Here we have to find the formula for an exponential function that passes through the points.

Given data:

The two points are (-1, 3/2) and (3, 24).

We need to find the slope of the line. So,

Slope(m) = (y2 - y1) / (x2 - x1)

m = (24 - 3/2) / ( 3+ 1)

   = 45/ 8

The general equation of a line:

y = mx + c

Now putting the value of x and y as -1 and 3/2 and m = 45/8.

3/2 = -1 × 45/8 + c

c = 57/8

Now we get the equation:

y = 45/8x + 57/8

Therefore the equation is y = 45/8x + 57/8.

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Answer:  B 9:21

Step-by-step explanation:

9 reduces to three and 21 reduced to 7

Answer:

10

Step-by-step explanation:

the answer is 10 because of everything I did

The value of x will be;

⇒ x = 4

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

On a Right triangle,

⇒ A = 18x - 2 , B = 20 , C = ?

Now,

Since, On a Right triangle,

One angle is at 90 degree.

Hence, C = 90°

Since,  A = 18x - 2 , B = 20 , C = 90°

Hence, We get;

⇒ 18x - 2 + 20 + 90 = 180

⇒ 18x - 2 + 110 = 180

⇒ 18x + 108 = 180

⇒ 18x = 180 - 108

⇒ 18x = 72

⇒ x = 4

Thus, The value of x will be;

⇒ x = 4

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The  probability that between 78% and 86% were non-teacher workers from private schools is 0.7689

Eighty-four percent of non-teacher workers were employed in private schools.

p = 0.84

q = 1 - p = 1 - 0.84 = 0.16

if a random sample of 200 non-teacher workers from private schools was selected

We need to find the  probability that between 78% and 86% were non-teacher workers from private schools.

n = 200

μρ = 0.84

αp = √(p(1 - p)/n) = √(0.84(0.16)/200) = 0.026

P(0.78 < P < 0.86) = P((0.78 - 0.84)/0.026 < (p - μp)/σp < (0.86 - 0.84)/0.026)

= P(-2.31 < z < 0.77)

= P(z < 0.77) - P(z < -2.31)

using z table

0.7794 - 0.0103

= 0.7689

Therefore, the  probability that between 78% and 86% were non-teacher workers from private schools is 0.7689.

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Answer:

Step-by-step explanation:

The residual for each of the coordinate pairs, (x, y) are-

a) -3.1; b) -0.2; c)  0.32; d) 0; e) -0.1; f) -6.96.

For the stated question;

Data is given by the line of best fit as;

y = 1.1x + 3.4

Then, the residual for the given coordinates are found as;

Residual = y - (1.1x + 3.4)

a. (5,8.8)

Residual = 5.8 - (1.1(5) + 3.4)

Residual = -3.1

b. (2.5,5.95)

Residual = 5.95 - (1.1(2.5) + 3.4)

Residual = -0.2

c. ((0,3.72)

Residual = 3.72 - (1.1(0) + 3.4)

Residual = 0.32

d. (1.5,5.05)

Residual = 5.05 - (1.1(1.5) + 3.4)

Residual = 0

e. (-3,0)

Residual = 0 - (1.1(-3) + 3.4)

Residual = -0.1

f. (-5,-4.86)

Residual = -4.86 - (1.1(-5) + 3.4)

Residual =  -6.96

Thus, the residual for each of the coordinate pairs, (x, y) are found.

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Answer:

A and C

Step-by-step explanation:

The angles and their images are congruent.

Answer:

x = 65 degrees

Step-by-step explanation:

Let's say z=the angle adjacent (next to) to the 145 degrees angle.

80 + x + z = 180  ==> 180 is the total number of degrees in a triangle

z + 145 = 180  ==>   In addition, if you add up Angle z and 145

                               degrees, you get a straight line which totals to 180

                               degrees

z + 145 - 145 = 180 - 145  ==> solve for z

z = 35 degrees

80 + x + z = 180

80 + x + 35 = 180  ==> plug in 35 for z

80 + 35 + x = 180

115 + x = 180  ==> solve for x

115 - 115 + x = 180 - 115 ==> simplify

x = 65 degrees

The numbers resulting from the indicated operation:

-1 2 1 -1

3 4 5 5

A number is a numerical value that is used to represent quantity. Hence, a number is a mathematical concept used to count, measure, and label. Thus, numbers form the basis of mathematics. A number is an arithmetic value used for representing the quantity and used in making calculations. Numericals are written symbols that represent numbers, such as "3." A number system is a writing system for representing numbers using digits or characters in a logical manner. Numbers are used to count, measure, and compare quantities. A number system is a set of symbols, or numerals, that are used to represent numbers.

Here,

The numbers resulting from the indicated operation:

-1 2 1 -1

3 4 5 5

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Answer:

-1 2 1 -1

3 4 5 5

Answer: 2x + 2

Step-by-step explanation:

The composition of two functions f and g, denoted g(f(x)), is a new function that is obtained by substituting the function f(x) into the function g(x) in place of x.

In this case, f(x) = x + 1 and g(x) = 2x. Substituting f(x) into g(x) in place of x gives us g(f(x)) = 2(x + 1) = 2x + 2.

Therefore, the final expression for g(f(x)) is 2x + 2. The coefficient of x is 2, and the constant term is 2.

The probability is it that she actually uses performance-enhancing drugs is 0.5975.

Given that,

The national flufferball association makes the decision to put in place a drug testing programme to check its athletes for the use of illicit performance-enhancing substances. In reality, 3% of professional flufferball players abuse performance-enhancing substances. A drug test has a 2% false positive rate and a 4% false negative rate. Alternatively, a person who abstains from drug use has a 0.02 percent chance of testing positive. With a 0.04 probability, a person who uses the medications will test negative. A player is tested at random, and the results are positive.

We have to find how probable is it that she actually uses performance-enhancing drugs.

We know that,

The provided data is

P(D)=0.03

P(D')=1-0.03=0.97

P(T|D')= 0.02

P(T'|D)=0.04

P(T|D)=1-P(T'|D)=1-0.04=0.96

The probability that she really takes the drugs is,

P(D|T)=P(D)P(T|D)/P(D)P(T|D)+P(D')P(T|D')

P(D|T)=(0.03×0.96)/(0.03×0.96)+(0.02×0.97)

P(D|T)=0.5975

Therefore, The probability is it that she actually uses performance-enhancing drugs is 0.5975.

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The approximate of [tex]f_{x}(3,5)[/tex] ≈ 4

We have to find an approximate of [tex]f_{x}(3,5)[/tex]  using the contour diagram, x and y, which was shown below. The slope of a second line is used to estimate the x and y direction. The curl f divides by the curl x is almost equal to the delta x. At the point of x, 13 is equal to 17 and 2 is equal to 18. The points are in a diagram. The curly f divides by curly x is equal to the delta f divided by delta x, which is 18 minus 17 divided by 2 minus 1. The value of a f is equal to 1. From here we can say that f of x 13 is equal to 1.

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Answer:

y = x - 2

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = 1 , then

y = x + c ← is the partial equation

to find c substitute (5, 3 ), that is x = 5, y = 3 into the partial equation

3 = 5 + c ⇒ c = 3 - 5 = - 2

y = x - 2 ← equation of line

The solution of the given equation  (w² x 12) ÷ 10⋅z is obtained as (-0.64).

The stated equation is-

= (w² x 12) ÷ 10⋅z

The values are-

w = −4, x = 2, and z = −5, put in the equation-

= [(-4)² × 2)]/ [10 × -5 ]

= [16 x 2]/)-50)

= 32 / -50

= -0.64

Thus, the solution of the given equation (w² x 12) ÷ 10⋅z is obtained as (-0.64).

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The amount of commission the agent receives if the bonus amount is Rs. 1,500, is Rs. 24,000.

To find the commission received by the agent, we first determine the excess sales using the bonus rate and bonus amount.

The excess sales are added to Rs. 900,000 to determine the total sales for the year.

The commission rate is applied to the total sales to ascertain the amount of the commission the agent received.

Commission on the total annual sales = 2%

Bonus on the excess of sales over Rs. 900,000 = 0.5%

Bonus amount = Rs. 1,500

Excess sales over Rs. 900,000 = Rs. 300,000 (Rs. 1,500/0.5%)

Total sales = Rs. 1,200,000 (Rs. 900,000 + Rs. 300,000)

Commission amount = Rs. 24,000 (Rs 1,200,000 x 2%)

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Nothing further can be done with simplifying the given expression.

The leader of the campfire girls troop can appoint 3 out of 14 members to clean up the camp in 364 ways.

The number of members in the campfire girls troop

= 14

The number of members the leader of the campfire girls troop can appoint at a time = 3

The number of ways to appoint r members out of n members

= nCr = n!/(r)!×(n-r)!

Therefore, the number of ways in which the leader of the campfire girls troop can appoint 3 out of 14 members to clean up the camp

= 14C3 = 14!/(3)!×(14-3)! = 364 ways

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Ages (in years) of a sample of retirement home inhabitants is option B. For the lowest wait time, the maximum frequency is anticipated to be right-skewed. A desert cannot have a maximum annual temperature of 60°F, and it is not conceivable to watch 60+ hours of TV in a single day.

Residents of senior living facilities are typically 84 years old. While there are many couples in these communities, the majority of people who live in independent living are women. Some people move in at or near the minimum age (often around 65), but most people do so between the ages of 75 and 84. Residents come from all different backgrounds.

Many people are choosing senior living in a community environment, including teachers, nurses, small business owners, big business CEOs, university professors, housewives, lawyers, engineers, musicians, and more. Current residents will attest that the rich diversity of origins fosters amazing interactions and relationships. And contrary to popular belief, the majority of residents of independent living are quite active.

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Correct Question:

Match the plot with a possible description of the sample.

60 70 80 90 100

Choose the correct answer below

A. Wait time (in minutes) for a sample of doctors offices

B. Ages (in years) of a sample of residents of a retirement home.

C. Highest yearly temperatures (F) for a sample of deserts.

D. Time (in hours_ spent watching TV in a day for a sample of teenagers.

An arithmetic logic unit (ALU) performs all arithmetic operations (for example, addition and subtraction) and all logic operations.

An arithmetic logic unit (ALU) is a digital circuit used to perform arithmetic and logic operations. It represents the fundamental building block of the central processing unit (CPU) of a computer. Modern CPUs contain very powerful and complex ALUs. In addition to ALUs, modern CPUs contain a control unit (CU).

Basic arithmetic and logical operations are carried out using an ALU. Addition, subtraction, multiplication, and division are a few examples of arithmetic operations.

Binary numbers, or 0 and 1, are used to store and modify every piece of data in computers. Since a switch has just two possible states—open or closed—transistor switches are used to alter binary numbers. An open transistor, through which no current flows, is equivalent to a 0. A closed transistor with a current flowing through it symbolizes a 1.

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Data that are left-skewed would include values that are unusually high.

A data is symmetric when it has a mirror image on both sides of the mean. For a symmetric data the mean = mode = median.

If the data is asymmetric, it can either be left-skewed or right-skewed. A left-skewed data has mots of its values greater than the mean. In this case the mean < median < mode. Left-skewed data mostly contains very less amount of values with smaller magnitudes.

Hence, data that are left-skewed would include values that are unusually high.

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If f:RR, then Munkres' definition (f′(a) is a 11 matrix) is the definition of the derivative as it is presented in elementary calculus and real analysis. The linear map yf′(a)y must be defined as the derivative if the first definition from above must be used.

The derivative of a function of a real variable in mathematics quantifies the sensitivity of the function's value (output value) to changes in its argument (input value).

Calculus's core tool is the derivative. The velocity of an item, for instance, is the derivative of its position with respect to time; it quantifies how quickly the object's position varies as time passes.

When it occurs, the slope of the tangent line to the function's graph at a given input value is the derivative of a function of a single variable.

The function closest to that input value is best approximated linearly by the tangent line. Because of this, the derivative is

According to our question-

The linear mapping Dfa:RmRn that obeys limh0f(a+h)f(a)Dfa(h)h2=0 is typically used to compute the derivative (or "total derivative") of a function f:RmRn at some point aRm.

both are true. If f:RR, then Munkres' formulation (f′(a) is an 11 matrix) is the definition of the derivative as taught in introductory calculus and real analysis. The linear map yf′(a)y must be defined as the derivative if the first definition from above must be used.

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Answer:

Step-by-step explanation:

Given,

No. of pens the shopkeeper has = 10

Selling price of 10 pens = Rs. 1200

Profit made by selling them = Rs 100

So,

Actual price or Cost price of 10 pens

= Rs (1200 - 100)

= Rs 1100

Now,

Cost price for each pen

= [tex]\frac{Total cost of the pens}{No. of pens}[/tex]

= [tex]Rs \frac{1100}{10}[/tex]

= Rs 110

Hence,

The cost price for each pen the shopkeeper bought is Rs. 110 (Ans)

Answer: [tex]\frac{n^{2} }{n+1}[/tex]

Step-by-step explanation:

The numerator (top digit) are squares. For example,

1 is [tex]1^{2}[/tex]

4 is [tex]2^{2}[/tex]

9 is [tex]3^{2}[/tex]

and so on.

The bottom digit increases by one.

Therefore, the Nth term would be that number (N) squared on the numerator, and n+1 on the denominator.

In  linear equation, 5  batches of slime can Mr. Lincoln make.

What in mathematics is a linear equation?

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.

                                 Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

Based on the given conditions, formulate = 3 ÷ 2/3

                                             = 3 * 3/2

                                          = 3 * 3/2

                                            = 9/2

the smallest integer greater than or equal to = 9/2 : 5

                                                                         = 5

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Key distinction between parametric tests and nonparametric tests in terms of scales of measurement is that  parametric tests are used for interval and ratio data and non parametric tests are used for ordinal and nominal data.

i.e., the last given option.

For interval and ratio data, parametric tests are employed, while non-parametric tests are used for ordinal and nominal data

Data containing discrepancies or intervals are displayed in interval data.

The ratio data, which may be added to, subtracted from, multiplied by, or split, is the one in which statistical conclusions are used.

Ordinal data are measurements of quantitative data that are in order, such height and weight.

Nominal data are those that we measure quantitatively but do not require order or sequence, such as hair color or eye color.

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Answer:

2/3

Step-by-step explanation:

4/3 or 1 1/2 divided by 2 is equal to 2/3

It will take about 39 years for a principal of $4600 to grow to $29900 continuously compounded

Compound interest is the interest calculated on the principal and the interest accumulated over the previous period. It is different from simple interest, where interest is not added to the principal while calculating the interest during the next period.

The formula to calculate compound interest is given as

A = P(1 + r/n)^nt

A = Pe^rt (Continuously compounded)

Let's substitute the values into the formula and solve

29900 = 4600e^(0.048 * t)

t = 39 years

The time it takes to compound the principal to $29900 is approximately 39 years

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A process is said to be out of control if proportion of defective lies outside the control limits. Since 8% and 7% are outside our upper control limit (UCL) So, 2 batches are defective.

Given that,

100-piece batches of canned soup are produced by Company X. They estimate that there are 2% faulty soup cans in circulation.

We have to find how many of the 3%, 8%, 1%, 2%, and 7% defective can percentages in the five batches fell beyond the higher or lower control limits for the percentage of defective soup cans in the batch.

We know that,

LCL= p-3√(p(1-p)/n)

=0.02-3√(0.02(1-0.02)/100)

=-0.022

Since probability can not be negative.

LCL=0

UCL= p-3√(p(1-p)/n)

=0.02-3√(0.02(1-0.02)/100)

=0.062

Therefore. A process is said to be out of control if proportion of defective lies outside the control limits. Since 8% and 7% are outside our upper control limit (UCL) So, 2 batches are defective.

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