The domain of a function f(x) is x 20, and the range is ys-1. What are the
domain and range of its inverse function, F1(x)?

9514 1404 393

Answer:

Step-by-step explanation:

Surface area

The length of the hypotenuse of the front facing triangle is given by the Pythagorean theorem:

  d^2 = 13^2 +6^2 = 169 +36 = 205

  d = √205

So, the perimeter of that triangle is ...

  P = 13 +6 +√205 = 19 +√205

The total area of the rectangular faces of this triangular prism is then ...

  rectangular face area = (base perimeter)·(prism height)

  = (19 +√205)(7) = 133 +7√205

The area of the two triangular faces will be ...

  triangular face total area = 2·(triangle area) = 2(1/2)(6)(13) = 78

Then the total surface area is ...

  total surface area = rectangular face area + triangular face total area

  total surface area = (133 +7√205) +78

  surface area = 211 +7√205 ≈ 311.22 . . . . square units

__

Volume

The volume is the product of the area of the triangular base and the height of the prism.

  V = Bh

  V = (39)(7)

  volume = 273 . . . . cubic units

Answer:

24354

Step-by-step explanation:

Answer:

The value is  [tex]P( p < 0.27 ) = 0.67792[/tex]

Step-by-step explanation:

From the question we are told that

      The population proportion is  p= 0.25

       The sample size is  n  =  100

Generally given that the sample size is sufficiently large n > 30  , the mean of this sampling distribution is mathematically represented as

          [tex]\mu_{x} = p = 0.25[/tex]

Generally the standard deviation is mathematically represented as

          [tex]\sigma = \sqrt{ \frac{ p(1 - p)}{n} }[/tex]

=>       [tex]\sigma = \sqrt{ \frac{ 0.25 (1 - 0.25 )}{100} }[/tex]      

=>       [tex]\sigma = 0.0433[/tex]

Generally the probability that less than 27 percent (0.27)of the sample expect their lives to be better in five year is mathematically represented as

      [tex]P( p < 0.27 ) = P( \frac{ p - \mu_{x}}{\sigma} < \frac{0.27 - 0.25 }{ 0.0433} )[/tex]

[tex]\frac{p -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ p )[/tex]

=>     [tex]P( p < 0.27 ) = P( Z< 0.4619 )[/tex]

From the z table the area under the normal curve to the left corresponding to 0.4619 is

     [tex]P( Z< 0.4619 ) = 0.67792[/tex]

     [tex]P( p < 0.27 ) = 0.67792[/tex]

Answer:   2/4

Step-by-step explanation:

Rise=2

Run=4

Rise/Run(2/4)

Answer:

slope = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, - 1) and (x₂, y₂ ) = (2, 0) ← 2 points on the line

m = [tex]\frac{0+1}{2-0}[/tex] = [tex]\frac{1}{2}[/tex]

Answer:

7. 33%

6. 75%

8. 67%

Step-by-step explanation:

5. 80-15=65

65/85=0.8125 => 81%

6. 100-25= 75

75/100= 0.75=> 75%

7. 60-40=20

20/60=0.333333=>33%

8. 39-13=26

26/39=0.666666667=67%

Jacob runs total 12 miles run

Answer:

The answer is the first option .

Jacob ran a total of 12 7/10 miles which is equivalent to 12.7 miles

Answer:

x = -5/3

Step-by-step explanation:

6x-(2x-1) =9x+2(2-x)

6x - 2x - 1 = 9x + 4 - 2x

4x - 1 = 7x + 4

collect like terms

4x - 7x = 4 + 1

-3x = 5

x = -5/3

Answer:

x= -1

Step-by-step explanation:

Trust

Answer:

No he will pass his 50$ budget

Step-by-step explanation: 68 divided by 5 is 13.6

13.6 multiplied by 4 is 54.4

Answer:  -14r + 60

 your welcome.

Answer:

a. The probability that the aircraft is fully occupied = 0.3642

b. The probability that between 1 and 5 (including 1 and  5) passengers do not show up is  = 0.6354

Step-by-step explanation:

From the given information:

We are to compute the probability that:

a. The aircraft is fully occupied( i.e. all the passengers show up)

b. Between 1 and 5 (including 1 and  5) passengers do not show up

Given that:

Percentage of passengers that do not show up  = 2% = 0.02

And the population of the passengers = 50; since 50 tickets are being sold for a specific flight.

Let assume X be the random variable that follows a binomial distribution, thus, the number of passengers from the aircraft with 50 passengers can be represented as:

[tex]X \sim Bin (n = 50, p =0.02)[/tex]

Thus;

The probability that the aircraft is fully occupied i.e. all the passengers show up is:

[tex]= (1 - 0.02)^{50}[/tex]

= 0.98⁵⁰

= 0.3642

Hence, The probability that the aircraft is fully occupied = 0.3642

b.  The probability that between 1 and 5 (including 1 and  5) passengers do not show up is:

= P(X = 1) + P(X =2) + P(X = 3) + P(X = 4) + P(X = 5)

= [tex]=(^{50}_1) 0.02(1-0.02)^{50-1} +(^{50}_2) 0.02(1-0.02)^{50-2} + (^{50}_3) 0.02(1-0.02)^{50-3} + ... + (^{50}_5) 0.02(1-0.02)^{50-5}[/tex]

[tex]=(^{50}_1) 0.02(0.98)^{49} +(^{50}_2) 0.02(0.98)^{48} + (^{50}_3) 0.02(0.98)^{47} + ... + (^{50}_5) 0.02(0.98)^{45}[/tex]

= 0.6354

Hence, The probability that between 1 and 5 (including 1 and  5) passengers do not show up is  = 0.6354

Answer:

The answers are correct.

Step-by-step explanation:

Please rate the answer and like it if it helped.

The answer is B, D , and E

Step-by-step explanation:

You have to look for the same pattern on both rows, wether they come out even or odd.

Answer:

y=3x+1

Step-by-step explanation:

Answer:

answer:  C,  24 photos per day

Step-by-step explanation:

Answer:

it's either the first one or the third one.

I'm so sorry if they are both wrong.

Answer:

adding 12.5

Step-by-step explanation:

12.5 --> 25 through +12.5

25 --> 37.5 through +12.5

37.5+12.5 = 50 = 50

Answer:

You are adding 12.5 every time.

Step-by-step explanation:

12.5+12.5=25

25+12.5= 37.5

37.5+12.5=50

Hope this helps!

Answer:

60

Step-by-step explanation:

4*15=60=12*5

Answer:

16+(4*x)=32

Step-by-step explanation:

x is equal to the number of days he did sit ups. You can solve this by solving for x.

Answer:

60

Step-by-step explanation:

Answer:

2.5

Step-by-step explanation:

Answer:

2 1/2cm  is the answer for w

Step-by-step explanation:

the reason for this is because the total area for the triangle is 17 cm

and from whats shown on the rectangle it has only 12 so far so that means the w equals 2 1/2 because 12 + 2 1/2 + 2 1/2 = 17 so therefor the answer is 2 1/2cm

hope this helps :)

- by chance may I get brainliest

Answer:

$8.25 is the answer.

Step-by-step explanation:

Answer:

8.25

Good luck!

Answer:

80

Step-by-step explanation:

35 + 15x

x=3

15. 3 =45

45+35=80

Answer:

1st box: -1/2

2nd box: 2/1 or just 2

Step-by-step explanation:

1st box: parallel slopes have the EXACT same slope as the original

2nd box: perpendicular slopes are the negative reciprocal of the original

Answer:

=−4/9z−3

Step-by-step explanation:

4

9

z−

3

9

z+5−

5

9

z−8

=

4

9

z+

−1

3

z+5+

−5

9

z+−8

Combine Like Terms:

=

4

9

z+

−1/3

z+5+

−5

9

z+−8

=(4/9z+−1/3z+−5/9z)+(5+−8)

Answer:

whats the weights?

Step-by-step explanation: