Can anyone help me answer this question?
f(x) = 5x^3 + 3x^2 - x/ x+2 and g(x) = x^2 - 1/ x - 1. Find the limit of f^2(x) as x approaches 2

Answers

Answer 1

The function limit of f(x) as x approaches 2 is 67 and the limit of f²(x) as x approaches 2 is 4489.

The function f(x) can be rewritten as:

f(x) = (5x³ + 3x² - x)/(x+2)

Using direct substitution, we see that f(2) is undefined, as the denominator of the function becomes 0.

To evaluate the limit, we can use L'Hopital's rule:

[tex]\lim_{x \to 2\[/tex] f(x) = lim x→2 (5x³ + 3x² - x)/(x+2)

= [tex]\lim_{x \to 2\[/tex] (15x² + 6x - 1)/(1)

= (15(2)² + 6(2) - 1)/(1)

= 67

To find the limit of f²(x) as x approaches 2, we can simply square the limit:

f(x) = [tex]\lim_{x \to 2\}[/tex]f²(x)

= [tex]\lim_{x \to 2[/tex] f²(x)  

= 67²

= 4489

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Related Questions

Create a matrix for this linear system: 3x+2y+z = 26 X-4y = -11 2x+z = 13 The determinant of the coefficient matrix is _______. x = y = z =

Answers

Answer:

[tex]\mathrm{Matrix \: Form:}[/tex]
[tex]\begin{pmatrix}3&2&1\\ 1&-4&0\\ 2&0&1\end{pmatrix}\begin{pmatrix}x\\ y\\ z\end{pmatrix} = \begin{pmatrix}26\\ -11\\ 13\end{pmatrix}[/tex]

[tex]\mathrm{Determinant\; of \;coefficient \;matrix = - 6}[/tex]

Step-by-step explanation:

The system of linear equations provided in the question:
[tex]\begin{aligned}3x+2y+z &= 26\\ x-4y&=-11\\ 2x+z&=13\\\\\end{aligned}[/tex]

can be represented in matrix form as

[tex]\begin{pmatrix}3&2&1\\ 1&-4&0\\ 2&0&1\end{pmatrix}\begin{pmatrix}x\\ y\\ z\end{pmatrix} = \begin{pmatrix}26\\ -11\\ 13\end{pmatrix}[/tex]

The coefficient matrix is
[tex]\begin{pmatrix}3&2&1\\ 1&-4&0\\ 2&0&1\end{pmatrix}[/tex]

The determinant of this matrix can be obtained by the expansion formula:
[tex]\det \begin{pmatrix}a&b&c\\ \:d&e&f\\ \:g&h&i\end{pmatrix}=a\cdot \det \begin{pmatrix}e&f\\ \:h&i\end{pmatrix}-b\cdot \det \begin{pmatrix}d&f\\ \:g&i\end{pmatrix}+c\cdot \det \begin{pmatrix}d&e\\ \:g&h\end{pmatrix}[/tex]

Therefore
[tex]det \begin{pmatrix}3&2&1\\ 1&-4&0\\ 2&0&1\end{pmatrix}[/tex]

[tex]= 3\cdot \det \begin{pmatrix}-4&0\\ 0&1\end{pmatrix}-2\cdot \det \begin{pmatrix}1&0\\ 2&1\end{pmatrix}+1\cdot \det \begin{pmatrix}1&-4\\ 2&0\end{pmatrix}[/tex]

[tex]\mathrm{Find\:the\:matrix\:determinant\:according\:to\:formula}:\quad \det \begin{pmatrix}a\:&\:b\:\\ c\:&\:d\:\end{pmatrix}\:=\:ad-bc[/tex]

[tex]\det \begin{pmatrix}-4&0\\ 0&1\end{pmatrix} = \left(-4\right)\cdot \:1-0\cdot \:0 = -4[/tex]

[tex]\det \begin{pmatrix}1&0\\ 2&1\end{pmatrix} = 1\cdot \:1-0\cdot \:2 = 1[/tex]

[tex]\det \begin{pmatrix}1&-4\\ 2&0\end{pmatrix} = 1\cdot \:0-\left(-4\right)\cdot \:2 =8[/tex]

Finally,
[tex]det \begin{pmatrix}3&2&1\\ 1&-4&0\\ 2&0&1\end{pmatrix}\\\\\\ = 3\cdot \det \begin{pmatrix}-4&0\\ 0&1\end{pmatrix}-2\cdot \det \begin{pmatrix}1&0\\ 2&1\end{pmatrix}+1\cdot \det \begin{pmatrix}1&-4\\ 2&0\end{pmatrix}\\\\\\= 3\left(-4\right)-2\cdot \:1+1\cdot \:8\\\\= -12 - 2 + 8\\\\= -6[/tex]

A map shows the vertices of a campsite are (25,10), (25,-5), (-5,-5), and (-5,10). The vertices of your tent are (0,-3), (0,6), (10,6), and (10,-3). The coordinates are measured in feet. What percent of the campsite is not covered by your tent?

Answers

The percent of the area that is not covered is 80 percent

How to calculate the area that is not covered

In mathematics area is defined as the absolute or total space that an object or shape occupies. It is usually measured using centimeters, cm ² square or the use of meter square m ².

area of tent

= (10 - 0) * (6 - (-3))

= 90

The area of the campsite would be:

(25 - (-5) x (10 - (-5))

= 450

Then the area would be 450 - 90

= 360

the percentage that is not covered by tent = 360 / 450 x 100

= 80 percent

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2010 2008
$971 $812
$977 $943
$900 $873
$1071 $1023
$501 $486



3. Identify whether the mean or median is a more accurate reflection of the data.
Explain why.

Answers

The median is the accurate reflection of the data

How to solve for the mean

501, 900, 971, 977, 1071

The mean would be

summation of the values

mean = 884

The median is the value that occurs in the middle = 971

The median would be more accurate reflection of the data. 501 is an outler. This is what caused us to have a mean that is c loser to 884. Hence we have 971 the median to be more accurate reflection of the data

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You want to determine the number of students in your school who have visited a public library. You survey 30 students at random. Twenty-four have visited a public library, and six have not. So, you conclude that 80% of the students in your school have visited a public library.

Determine whether the conclusion is valid

Answers

Answer: e

Step-by-step explanation:

Answer:Valid

Step-by-step explanation:

QUESTION 1
Joe's Pizza Company faces a demand for its pizzas which obeys the "law of demand." This means if Joe lowers the price he charges
per pizza
His profit will rise.
He will sell more pizzas.
His profit will fall.
He will sell fewer pizzas.

Answers

If Joe lowers the price he charges per pizza, he will sell more pizzas. option B

Why would he sell more?

To sell more pizza, Joe must decrease the price he charges per unit. The law of demand dictates that when a product's cost decreases, its quantity demanded rises resulting in an increased sales volume.

It follows then that if Joe reduces his pizza prices more people will be inclined to purchase it creating this increase in sales . Nonetheless, whether Joe’s profit will rise or diminish depends on the extent of the rise in sales compared to the lowering of the price.

Even if there is a reduction in the price of every pizza, if the resultant sales volume is significant enough, Joe’s profit margin could still experience a positive turn.

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The lodge has 420 skis. Predict the number of skis that are likely to be defective.

Answers

A ski lodge inspects 80 skis and discovers four that are faulty. The skis that are likely to be defective are 21.

It is assumed that there are 80 skis, four of which are faulty.

As a result, the total number of outcomes is 80.

Positive outcomes = 4

Let [tex]E_{1}[/tex] represent the event of selecting a faulty. As a result, the likelihood of selecting a defective ski is expressed mathematically as follows.

[tex]E_{1}[/tex] = Favorable case of defective / Total number of skis

= 4 / 80

= 1 / 20

=0.05

Skis will be discovered in 5% of cases.

So, the event of choosing a defective is 4 / 80.

If the total number of skis is 420, then the number of defective skis will be:

4 / 80 × 420

= 1/20 × 420

= 21

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Correct question:

A ski lodge inspects 80 skis and finds 4 to be defective. The lodge has 420 skis. Predict the number of skis that are likely to be defective.

2. If 15% of the first digit equals 21% of the second digit, then what percentage of the second digit equals 25% of the first digit?

Answers

Answer:

35%

(I replaced the 1st digit by a and the second digit by b)

100 Points!!! Algebra question. Use synthetic substitution to find f(-3) and f(4) for 3x^4-4x^3+3x^2-5x-3. Please show as much work as possible. Photo attached. Thank you!

Answers

The mapping of the function f(x) given as 3x⁴ - 4x³ + 3x² - 5x - 3 is define at;

-3, f(-3) = 390 and at 4, f(4) = 537

What is a function

A function is a rule that defines a relationship between one variable. It is the mapping whose codomain is the set of real numbers

By substitution:

For x = -3;

f(-3) = 3(-3)⁴ - 4(-3)³ + 3(-3)² - 5(-3) - 3

f(-3) = 3(81) + 4(27) + 3(9) + 15 - 3

f(-3) = 243 + 108 + 27 + 15 - 3

f(-3) = 390

For x = 4;

f(4) = 3(4)⁴ - 4(4)³ + 3(4)² - 5(4) - 3

f(4) = 3(256) - 4(64) + 3(16) - 20 - 3

f(4) = 768 - 256 + 48 - 20 - 3

f(4) = 537

Therefore, the mapping of the function f(x) = 3x⁴ - 4x³ + 3x² - 5x - 3 for the values of x: -3 and 4 we have the results 390 and 537 respectively.

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You’re planning to buy a house and you want to have $35,000 to put as a down payment. If you have $20,000 today and you’re able to receive 12% interest rate for investing the money, how long will it take you to have enough money for the down payment saved?

Answers

It will take approximately 6.24 years to have enough money for the down payment saved.

How to calculate how long will it take you to have enough money for the down payment saved

We can use the formula for compound interest to solve this problem:

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

where:

A = the amount of money we want to have (in this case, $35,000)

P = the initial amount we have (in this case, $20,000)

r = the annual interest rate (in this case, 12%)

n = the number of times interest is compounded per year (let's assume it's compounded monthly, so n = 12)

t = the number of years we're investing for (this is what we want to find)

Substituting the values we know:

$35,000 = $20,000(1 + 0.12/12)^(12t)

Simplifying:

1.75 = (1 + 0.01)^(12t)

Taking the natural logarithm of both sides:

ln(1.75) = 12t ln(1.01)

Dividing both sides by 12 ln(1.01):

t = ln(1.75) / (12 ln(1.01))

Using a calculator:

t ≈ 6.24 years

Therefore, it will take approximately 6.24 years to have enough money for the down payment saved.

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Please reply me as soon as possible with step by step answer for this

Answers

The length of the curve y = 5 - 4x, -2 ≤ x ≤ 2, is 4√(17).

What is the length of the curve?

To use the arc length formula, we need to find the derivative of the curve y = 5 - 4x:

y' = -4

Then, we can use the arc length formula:

L = ∫[a,b] √(1 + (y')^2) dx

where a and b are the limits of integration. In this case, a = -2 and b = 2.

L = ∫[-2,2] √(1 + (-4)^2) dx

= ∫[-2,2] √(17) dx

= √(17) * [x]_(-2)^(2)

= 4√(17)

So the length of the curve y = 5 - 4x, -2 ≤ x ≤ 2, is 4√(17).

To check this answer, we can note that the curve is a line segment with endpoints (-2, 13) and (0.75, 1), and we can calculate its length using the distance formula:

L = √((0.75 - (-2))^2 + (1 - 13)^2)

L = √(18.25 + 144)

L = √(162.25)

L = 4√(17)

This matches our previous answer, so we can be confident that the length of the curve is 4√(17).

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Tyler is simplifying the expression: 6-2x+5+4x Here is his work

6-2x+5+4x
(6-2)x+(5+4)x
4x+x
13x

a. Explain the error he made

b. Simplify the expression: 6-2x+5+4x

Answers

Answer:

11-2x not 13x

Step-by-step explanation:

\(6-2)x + (5-4)x does = 13x

If there were parentheses as in the 2nd line, everything else is correct

the mistake is going from

6-2x + 5-4x to

(6-2x) + (5-4)x

PEMDAS is the order of operations. P for parentheses 1st, Multiplication 3rd, addition 4th, subtraction 5th

(there are no exponents or division or parentheses, so it's just M, A and S that apply)

combine like terms, 2x-4x =-2x

combine the constant terms 6+5 = 11

6-2x +5-4x = 11-2x

The mistake was assuming parentheses when they aren't there.

correct answer is 11-2x not 13x

Lines and Angles
10) In the figure below BD is the perpendicular bisector of AC. Find the value of x.
3(2x-8)
4425
Enter your answer in the box.
x=

Answers

Since BD is the perpendicular bisector of AC, then AB = BC, which implies 2x - 8 = 5x - 17.

Solving for x, we have:

3(2x - 8) = 4425

6x - 24 = 4425

6x = 4451

x = 741.83

Rounding to the nearest whole number, we have x = 742.

Therefore, x = 742.

Which choice is the correct graph of |x|< 3

Answers

The graph that shows the solution set for the given inequality is the one in option B.

Which one is the graph of the given inequality?

Here we want to identify the graph of the inequality:

|x| ≤ 3

So, the absolute value of x is smaller or equal to 3, that means that the graph of the solution set is a segment whose endpoints are closed circles at x = -3 and x = 3.

(We use closed circles because these values are also solutions for the inequality).

With that in mind, we can see that the correct option in this case will be graph B.

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Write a​ slope-intercept equation for a line passing(3,-2) through the point that is parallel to the line 3X+4Y= 9. Then write a second equation for a line passing through the point (3,-2) that is perpendicular to the line 3X+4Y= 9.

Answers

First, to write the slope-intercept equation for a line passing through (3, -2) that is parallel to the line 3X + 4Y = 9, we need to find the slope of the given line. We can rewrite the line equation in slope-intercept form:

4Y = -3X + 9

Y = (-3/4)X + 9/4

The slope of this line is -3/4. Since the line we want is parallel to this line, it will have the same slope. We can use the point-slope form of a line to write the equation:

Y - (-2) = (-3/4)(X - 3)

Simplifying this equation, we get:

Y = (-3/4)X + 7/2

This is the slope-intercept equation for the line passing through (3, -2) that is parallel to the line 3X + 4Y = 9.

Next, to write the equation for a line passing through (3, -2) that is perpendicular to the line 3X + 4Y = 9, we again need to find the slope of the given line. We can rewrite the line equation in slope-intercept form:

4Y = -3X + 9

Y = (-3/4)X + 9/4

The slope of this line is -3/4. Since the line we want is perpendicular to this line, it will have a slope that is the negative reciprocal of -3/4. The negative reciprocal is 4/3. We can use the point-slope form of a line to write the equation:

Y - (-2) = (4/3)(X - 3)

Simplifying this equation, we get:

Y = (4/3)X - 2/3

This is the slope-intercept equation for the line passing through (3, -2) that is perpendicular to the line 3X + 4Y = 9
:)!

Solve the quadratic equation by completing the square.
2
x² - 4x-10=0
First, choose the appropriate form and fill in the blanks with the correct num
Then, solve the equation. Round your answer to the nearest hundredth.
If there is more than one solution, separate them with commas.

Answers

x^2 - 4x - 10 = 0
x^2 - 4x = 10
x^2 - 4x + 4 = 10 + 4
(x - 2)^2 = 14
x - 2 = (+-) sqrt 14
x = 2 (+-) sqrt 14

x = 2 + sqrt 14 and x = 2 - sqrt 14 <== ur solutions

Jaswat set out to walk a distance of 12 Km. After walking for 1 1/2 hours at a speed of
6 Km/h, he had to slow down to steady pace of 4 Km/h , which he maintained till the
end of the journey. How long did he take to complete the journey?

Answers

Answer: 2 hours 15 minutes

Step-by-step explanation:

To solve this problem, we need to use the formula:

distance = speed x time

First, let's calculate the distance Jaswat covered in the first 1 1/2 hours:

distance = speed x time

distance = 6 Km/h x 1.5 h

distance = 9 Km

So, Jaswat covered 9 Km in the first 1 1/2 hours. He still had to cover 12 Km - 9 Km = 3 Km.

Now, we need to calculate the time Jaswat took to cover the remaining 3 Km at a speed of 4 Km/h:

distance = speed x time

3 Km = 4 Km/h x time

time = 3 Km / 4 Km/h

time = 0.75 hours = 45 minutes

Therefore, Jaswat took 1 1/2 hours + 45 minutes = 2 hours 15 minutes to complete the journey.

The data set shown below represents the distribution of daily high temperatures in a city for 8 days.

79
,

73
,

72
,

70
,

72
,

66
,

81
,

75
79, 73, 72, 70, 72, 66, 81, 75

What is the median high daily temperature, in degrees Fahrenheit, in the city?

Answers

For the given data set of temperatures, the median temperature is 72.5 degree Fahrenheit.

In order to find the median temperature, we first need to arrange the temperatures in order from lowest to highest:

The temperatures arranged in order is : {66, 70, 72, 72, 73, 75, 79, 81}

There are 8 temperatures in total, which is an even-number, so the median will be the average of fourth and fifth day temperature.

In this case, the temperature of the fourth day is 72, and fifth day is 73,

The average will be = (72+73)/2 = 72.5,

Therefore, the median high daily temperature in the city is 72.5 degrees Fahrenheit.

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The given question is incomplete, the complete question is

The data set shown below represents the distribution of daily high temperatures in a city for 8 days.

79,73,72,70,72,66,81,75.

What is the median high daily temperature, in degrees Fahrenheit, in the city?

I really need hep please

Answers

The valid row-operation which needs to be performed on the given matrix to get "1" in position of row1 and column1 are "R₁ → 2R₁ + R₂" and then "R₁ → R₁/2".

The "row-operation" is a type of matrix operation that involves swapping, scaling, or adding rows in a matrix. These operations are used to transform a matrix into a more reduced form.

The Augmented matrix on which we have to perform the "row-operation" is

⇒ [tex]\left[\begin{array}{ccc}7&-4&8\\-12&7&-13\end{array}\right][/tex],

To get "1" in first row and first column,

The first row-operation is R₁ → 2R₁ + R₂

We get,

⇒ [tex]\left[\begin{array}{ccc}7\times 2-12&-4\times 2+7&8\times 2-13\\-12&7&-13\end{array}\right][/tex],

⇒ [tex]\left[\begin{array}{ccc}14-12&-8+7&16-13\\-12&7&-13\end{array}\right][/tex]

⇒ [tex]\left[\begin{array}{ccc}2&-1&3\\-12&7&-13\end{array}\right][/tex],

The second , row-operation to get a "1", is R₁ → R₁/2,

We get,

⇒ [tex]\left[\begin{array}{ccc}2/2&-1/2&3/2\\-12&7&-13\end{array}\right][/tex],

⇒ [tex]\left[\begin{array}{ccc}1&-0.5&1.5\\-12&7&-13\end{array}\right][/tex].

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If angle 3=61, what should angle 1 and angle 2 be?

Answers

Answer:

Step-by-step explanation:

so the entire angle sum is 180 degrees then subtract 61 from 180 and divide by 2. hope it helps :)

Complete the following using compound future value. (Use the Table provided.)
Note: Do not round intermediate calculations. Round your final answers to the nearest cent.
Time
6 years
Principal
$ 15,300
Rate
8 %
Compounded
Quarterly
What is amount &
Interest?

Answers

Answer:

We can use the formula for compound interest to calculate the amount and interest:

A = P * (1 + r/n)^(n*t)

I = A - P

Where:

P = Principal = $15,300

r = Rate = 8% = 0.08

n = Compounding frequency per year = 4 (since it is compounded quarterly)

t = Time period = 6 years

Plugging in the values, we get:

A = 15,300 * (1 + 0.08/4)^(4*6) = $23,659.28

I = 23,659.28 - 15,300 = $8,359.28

Therefore, the amount after 6 years is $23,659.28 and the interest earned is $8,359.28.

I hope this helps.

If $4,500 is invested at an interest rate of 5.25% per year, compounded continuously, find the value of the investment after the given number of years. (Round your answers to the nearest cent.)

(a) 4 years

(b) 8 years

(c) 12 years

Answers

a) The value of the investment after 4 years is $5,544.90.

b) The value of the investment after 8 years is $6,849.42.

c) The value of the investment after 12 years is $8,453.35.

The formula for calculating the value of an investment that is compounded continuously is given by:

A = [tex]Pe^{(rt)[/tex]

where A is the final value of the investment, P is the initial investment amount, e is the mathematical constant approximately equal to 2.71828, r is the annual interest rate expressed as a decimal, and t is the time period in years.

(a) To find the value of the investment after 4 years, we can substitute the given values in the formula as follows:

A = 4500[tex]e^{(0.05254)[/tex]

A = 4500[tex]e^{0.21[/tex]

A = 45001.2322

A = $5,544.90

(b) To find the value of the investment after 8 years, we can substitute the given values in the formula as follows:

A = 4500[tex]e^{(0.05258)[/tex]

A = 4500[tex]e^{0.42[/tex]

A = 45001.5221

A = $6,849.42

(c) To find the value of the investment after 12 years, we can substitute the given values in the formula as follows:

A = 4500[tex]e^{(0.052512)[/tex]

A = 4500[tex]e^{0.63[/tex]

A = 45001.8785

A = $8,453.35

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Which is equivalent to 234 2/5

Answers

234 2/5 is equivalent to 1172/5.

234 2/5 is a mixed number, which means it is a combination of a whole number and a fraction.

To convert it to an improper fraction, we need to multiply the whole number by the denominator of the fraction and add the numerator.

The result becomes the new numerator, and the denominator stays the same.

In this case, we have:

234 2/5 = (234 x 5 + 2) / 5

= 1172/5

Therefore, 234 2/5 is equivalent to 1172/5 as an improper fraction.

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Assignments...
Library Search
Khan Academy
Estimate the solution to the system of equations.
You can use the interactive graph below to find the solution.
fy=
=−x+2
Get Al Guide
y = 3x -4
Donate

Answers

The solution of the given system of equations is (1, 2.5)

How to explain the equation

From the graph attached, it van be seen that two intersecting lines represent the system of equations.

And the solution of the system of equations is a common point where these lines intersect.

The graph shows both the line are intersecting each other at (1, 2.5).

Therefore, the solution of the given system of equations will be (1, 2.5).

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ibrahim drew the graph below.
which of the following statements best describes the graph?

Answers

Answer:

B

Step-by-step explanation:

This is a linear function.

:D

what is the measure of an angle if it is 590 less than six times its own supplement

Answers

This is a word problem involving supplementary angles. To solve it, we need to follow these steps:

Identify the given information and the unknown quantity. In this problem, we are given that an angle is 590 less than six times its own supplement. The unknown quantity is the measure of the angle.

Write an equation that relates the given information and the unknown quantity. We can use the fact that supplementary angles are two angles with a sum of 180°1. Let x be the measure of the angle. Then its supplement is 180 - x. The equation is:

x=6(180−x)−590

Solve the equation for the unknown quantity. We can simplify and rearrange the equation to get:

xx7xxx​=6(180−x)−590=1080−6x−590=490=7490​=70​

Therefore, the measure of the angle is 70°.


This is so hard. Can you help me with this?

Answers

Answer: 70, 6

Step-by-step explanation:

(a)  For <F  that is the same as <D.  The image has little hash marks to indicates the sides across from those angles are the same; therefore, the angles are the same

All of the angles are = 180   if you subtract <E, you are left with 140 to be split between <F and <D

<F= 70

(b) all of the sides are the same because all the angles are the same

so AB=6

Complete the worksheet below please

Answers

Answer:

x= 3 cm

Explanation:

I am bad at it

Drag tiles to fill in the blanks for o complete the experience that could be used to predict the number of possible outcomes

Answers

The first blank will be filled by Option A: Total Number of Possible Outcomes. The second blank will be filled by Option B: Number of Winners

How to explain the probability

Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.

Then, suppose we want to find the probability of an event E.

= n(E) / n+S)

where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.

Thus, the first blank will be filled by Option A: Total Number of Possible Outcomes. The second blank will be filled by Option B: Number of Winners

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Drag tiles to fill in the blanks to complete the expression that could be used to predict the number of winners of a game. Tiles may be used once or not at all. A)Total Number of Possible Outcomes B)Number of Winners C)Number of Unfavorable Outcomes D)Number of Games P(event) = Number of Favorable Outcomes _________________________ ????????????????????????????? = ????????????????????????????? _________________________ 11 Total Number of Contestants

P(JIK) = 0.35, P(KJ) = 0.95, P(K) = 0.3
What is P(J)?
O 0.1105
O 0.8143
O 0.8895
O 0.1857

Answers

The conditional value probability is solved and P ( J ) = 0.1105

Given data ,

P(JIK) = 0.35, P(KJ) = 0.95, P(K) = 0.3

We can use Bayes' theorem to find P(J):

P(J | K) = P(K | J) * P(J) / P(K)

0.35 = 0.95 * P(J) / 0.3

0.35 * 0.3 = 0.95 * P(J)

0.105 = 0.95 * P(J)

P(J) = 0.105 / 0.95

P(J) = 0.1105

Hence , the probability is P ( J ) = 0.1105

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tamara plays video games for the same amount of time each day. in 4 days she played video games for 48 minutes in 9 days how many minutes did she play video games

Answers

Answer:

Step-by-step explanation:

Its simple, you need to find x

4 days the same amount of time (x) gives 48 min
4x = 48

x = 48/4

x = 12

then to get the amount of minutes in 9 days it would be:

9x=days

9(12)=108

the answer would be 108 min

Answer:

108 mins

Step-by-step explanation:

48 mins/4 days = x mins/9 days

4x= 432

x=108 mins

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