Two functions f and g are defined on the set R, of real numbers by f : x  2x  3 and
x g : x 1 3x . Find the inverse of the function f and the domain of gof.

Using the z-distribution, it is found that the 90​% confidence interval for the percentage of successful challenges is (17.28, 29.34).

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].

31 out of 133 challenges were successful, hence:

[tex]n = 133, \pi = \frac{31}{133} = 0.2331[/tex]

90% confidence level, hence [tex]\alpha = 0.9[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.9}{2} = 0.95[/tex], so [tex]z = 1.645[/tex].  

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2331 - 1.645\sqrt{\frac{0.2331(0.7669)}{133}} = 0.1728[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2331 + 1.645\sqrt{\frac{0.2331(0.7669)}{133}} = 0.2934[/tex]

As percentages:

0.1728 x 100% = 17.28%

0.2934 x 100% = 29.34%

The 90​% confidence interval for the percentage of successful challenges is (17.28, 29.34).

A similar problem is given at https://brainly.com/question/16807970

I think it wants you to remove the squares.

See if this works :)

Answer:

arithmetic

Step-by-step explanation:

arithmetic

There is a common difference of 13 between each term.

Answer:

the third answer

Step-by-step explanation:

because If two positive numbers are multiplied together or divided, the answer is positive. If two negative numbers are multiplied together or divided, the answer is positive. If a positive and a negative number are multiplied or divided, the answer is negative.

Answer:

45789932

Step-by-step explanation:

3456899954433222222344577890009

Answer:

Step-by-step explanation:

120G + 400E  = 73.60

            400E = 73.60 - 120G

                   E = 0.184 - 0.3G

                   200G + 350E = 72.00

200G + 350(0.184 - 0.3G) = 72.00

         200G + 64.4 - 105G = 72.00

                                   95G = 7.60

                                        G = $0.08/unit

[tex]Hiya![/tex]

Sokka is here to help!!

Here's a explanation!

[tex]6(12-3)+4+(3)(2)[/tex]

[tex]=(6)(9)+4+(3)(2)[/tex]

[tex]=54+4+(3)(2)[/tex]

[tex]=58+(3)(2)[/tex]

[tex]=58+6[/tex]

[tex]= 64[/tex]

64.

Hopefully, this helps you!!

[tex]Sokka[/tex]

Answer:

Step-by-step explanation:

To calculate the perimeter of a triangle, add the length of its sides.

8 + 9 + 11 = 28in

Ok so, it all depends if Shane is likely to jump win over all of the other seventh graders then the eighth graders should earn the 50 points...

But if the roles are reversed the the Seventh graders should earn the 50 points.

There is not a full answer to what I am saying but from speculation you should be able to decide..

Answer:  

Step-by-step explanation:

Answer:

211 remainder 6

Step-by-step explanation:

Step-by-step explanation:

211,85714

211 is the whole number

,85714 is the remainder

Answer:

what is the question

Step-by-step explanation:

Answer:

-4,-1,2,3

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

Answer:

okay

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the other leg = x

x^2 + 4^2 = (3x)^2

x^2 + 4^2 = 9x^2

4^2 = 9x^2 - x^2

16= 8x^2

16/8 = x^2

x^2 = 2

x = sqrt(2)

The lengths of the sides

x = sqrt(2)      

other side =4

hypotenuse = 3*sqrt(2)

x = 1.4

other side= 4

hypotenuse = 3*1.4142

hypotenuse = 4.2

Please find attached photograph for your answer.

Hope it helps.

Do comment if you have any query.

Answer:

2m/s2

Step-by-step explanation:

acceleration = (final velocity - initial velocity) / time

a = (30-20) / 5

a = 10 / 5

a = 2m/s2

I think it's 3 1/6 kilograms

Step-by-step explanation:

3 5/6 + 1 4/5 since it increased

find the LCD (Least Common Denominator)

that would be 30

3 25/30 + 1 24/30

=4 49/30

= 5 19/30

Then we do subtraction since it lost some weight

5 19/30 - 2 7/15

find LCD again

5 19/30 - 2 14/30

=3 5/30

simplify

3 1/6 kilograms. That's what I think.

Step-by-step explanation:

The area of a parallelogram is just base x height, same as a rectangle.

[tex]a=b*h\\a=ir*r[/tex]

If ir is 2 separate variables rather than just 1, that can be simplified to this:

[tex]a=ir^2[/tex]

2. a) 3 days.

b) 1 hour.

3. a) 20 km

b) 1200 l

It's a line so its equation is in the form : y = mx + b where m is the slope/gradient and b the y-intercept.

Since the slope m here is -1/4, we can write :

y = (-1/4)x + b

And since that line passes through the point x=-2, y=6, we can find the y-intercept by solving this equation of unknown b :

b + (-1/4)*(-2) = 6

b = 6 - (-1/4)*(-2)

b = 6 - (2/4)

b = 6 - 1/2

b = (12-1)/2 = 11/2

Finally, the equation is y = (-1/4)x + 11/2

Answer:

please take a closer picture. :)

Step-by-step explanation:

Answer:

7.1 in²  

Step-by-step explanation:

If you mentally rearrange the figure it's

a circle with a radius of 1

and a square with side of 2

Area of circle

a = 3.14r²

a = 3.14 * 1²

a = 3.14

Ares of square

a = s²

a = 2²

a = 4

Combined ares

a = 3.14 + 4

a = 7.14

Rounded

7.1 in²

Step-by-step explanation:

for each letter position there are 26 choices.

and each of these 26 choices can be combined with the next 26 choices.

so, they alone are 26×26×26 = 26³ = 17,576

then we have the three number positions.

each has 10 options.

so, they are 10×10×10 = 10³ = 1000

and both combined are

26³×10³ = 17,576,000 different number plates

The number of different license plate numbers are available to the state's Department of Motor Vehicles is 17,575,000.

The fundamental counting principle or basic principle of counting is a method or a rule used to calculate the total number of outcomes when two or more events are occurring together.

This principle states that the total number of outcomes of two or more independent events is the product of the number of outcomes of each individual event.

For each letter position there are 26 choices, and each of these 26 choices can be combined with the next 26 choices.

so, they alone are 26×26×26 = 26³ = 17,576

then we have the three number positions, each has 10 options.

so, they are 10×10×10 = 10³ = 1000

and both combined are;

26³×10³ = 17,576,000 different number plates.

Hence the number of different license plate numbers are available to the state's Department of Motor Vehicles is 17,575,000.

Learn more about fundamental counting principle, click;

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Answer:

18 π ≈ 56.52

Step-by-step explanation:

The formula for the volume of a cylinder is V = π · r² · h.

This cylinder has a height (h) of 2 and a radius (r) of 3.

Therefore the volume is:

V =  π · r² · h = π · 3² · 2 = 18 π ≈ 56.52.

Answer:

4 pounds

Step-by-step explanation:

Add 16 64 divided

The snowy owl weighs is 4 pounds.

A ratio is defined as a relationship between two quantities, it is expressed as one divided by the other

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

/ Division operation: Divides left-hand operand by right-hand operand

For example 4/2 = 2

We have been given that A snowy owl weighs 64 ounces.

16 ounces (oz) = 1 pound (lb)

We have to determine the number of pounds the owl weighs.

Let x pounds would be the owl weighs

We can write this as a ratio as

16 ounces (oz) : 1 pound (lb) = 64 ounces : x pounds

⇒ 16/1 = 64/x    

⇒ (16)(x) = 64

Divide each side by 16

⇒ x =64/16

⇒ x = 4

Therefore, the snowy owl weighs is 4 pounds.

Learn more about the Ratio here:

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Step-by-step explanation:

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