Find the maximum and the minimum values of ​f(x,y,z)equals 3 x minus 3 y plus 8 z on the sphere x squared plus y squared plus z squared equals 82 .

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:

whats the weights?

Step-by-step explanation:

Answer:

3x^2 - 4

Step-by-step explanation:

6x^4 - 8x^2 ÷ 2x^2

= 3x^2 - 4

Answer:

80

Step-by-step explanation:

35 + 15x

x=3

15. 3 =45

45+35=80

Answer:

x = 5

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

-9x+27=9x-63

-18x=-90

x=5

Step-by-step explanation:

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:

i need more info

Step-by-step explanation:

Answer:

exact form is 31/50

decimal form 0.62

Step-by-step explanation:

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:

9 · 2⁹

(-½, ½)

Step-by-step explanation:

The nth term of the original power series is 2ⁿ xⁿ.

Therefore, the nth term of the derived power series is:

d/dx (2ⁿ xⁿ) = n · 2ⁿ xⁿ⁻¹

When n=9, the term is 9 · 2⁹ x⁸.

Use ratio test:

lim(n→∞)│aₙ₊₁ / aₙ│

lim(n→∞)│((n+1) · 2ⁿ⁺¹ xⁿ) / (n · 2ⁿ xⁿ⁻¹)│

lim(n→∞)│(n+1) · 2x / n│

2│x│

The series converges when the limit is less than 1.

2│x│< 1

│x│< ½

-½ < x < ½

Check the endpoints.

If x = -½, the series is ∑ n · 2ⁿ (-½)ⁿ⁻¹ = ∑ -2n · (-1)ⁿ, which diverges.

If x = ½, the series is ∑ n · 2ⁿ (½)ⁿ⁻¹ = ∑ 2n, which diverges.

So the interval of convergence is (-½, ½).

Answer:

A) There are more workers in the L.A area that take up to 20 minutes to get to their job.

B)40 minutes or more.

Step-by-step explanation:

Even though the graph from the New York area is more well distributed, you can see a clear increase in the number of cases above 40 minutes in the New York area compared to the Los Angeles, which are probable around 3o workes, while in the New York Area graph those travel times are reserved for more than half of the workers that were interviewed, so we can assure that workers from the New York Area spend more time traveling to their jobs.

Answer:

the comment thread on this question is a mess, so the correct answer is INCREASING

Step-by-step explanation:

The function is both increasing and decreasing on the interval [-2, 1]

The complete question is added as an attachment

The interval is given as:

[-2, 1]

From the table of values, we have:

x     y

-2   12

-1     0

0     6

1     7.5

The y values decrease from 12 to 0 and then increase to 7.5 through 6.

This means that the function is both increasing and decreasing on the interval [-2, 1]

Hence, the true statement is (c)

Read more about function interval at:

https://brainly.com/question/1600302

#SPJ9

Answer:

A. 27

B. 125

C. 857 [tex]\frac{3}{8}[/tex]

D. s³

Step-by-step explanation:

The volume of the cube = side × side × side = (side)³

Let us use this rule to complete the table

A.

∵ The side length of the cube = 3 units

∴ Its volume = 3 × 3 × 3 = 3³

∴ Its volume = 27 unit³

B.

∵ The side length of the cube = 5 units

∴ Its volume = 5 × 5 × 5 = 5³

∴ Its volume = 125 unit³

C.

∵ The side length of the cube = 9[tex]\frac{1}{2}[/tex] units

∴ Its volume = 9[tex]\frac{1}{2}[/tex] × 9[tex]\frac{1}{2}[/tex] × 9[tex]\frac{1}{2}[/tex] = (9[tex]\frac{1}{2}[/tex])³

∴ Its volume = 857 [tex]\frac{3}{8}[/tex] unit³

D.

∵ The side length of the cube = s units

∴ Its volume = s × s × s = s³

∴ Its volume = s³ unit³

Answer:

60

Step-by-step explanation:

4*15=60=12*5

Answer:

y=3x+1

Step-by-step explanation:

Answer:

$8.25 is the answer.

Step-by-step explanation:

Answer:

8.25

Good luck!

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%

Answer:

The height of the tree is 80 meters.

Step-by-step explanation:

Let the height of the Christmas tree be x meters.

Then the length of the wire will be, (x + 9) meters.

And the wire will (x - 41) meters away from the base of the tree.

Consider the diagram below.

Use Pythagoras theorem to solve for x as follows:

[tex]AB^{2}=AC^{2}+CB^{2}[/tex]

[tex](x+9)^{2}=x^{2}+(x-41)^{2}\\\\x^{2}+18x+81=x^{2}+x^{2}-82x+1681\\\\x^{2}-100x+1600=0\\\\x^{2} -80x-20x+1600=0\\\\x(x-80)-20(x-80)=0\\\\(x-80)(x-20)=0[/tex]

The value of x is either 80 or 20.

If x = 20, then the base CB will be -21. This is not possible as length is always positive.

Thus, the value of x is 80.

Hence, the height of the tree is 80 meters.

Answer:

12(1 + 4) AND 12(2 + 3) are the correct answers.

Step-by-step explanation:

24 + 36 = 60

12(1 + 4)=

12(5) = 60

12(2 + 3)

12(5) = 60

Hope this helps and pls do mark me brainliest if you can:)

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:

The answers are correct.

Step-by-step explanation:

Please rate the answer and like it if it helped.

Answer:     uhnu

Step-by-step explanation: ugyfdtduyyggy

yjjh

Answer:

-1,1

Step-by-step explanation:

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:

5

Step-by-step explanation:

5 * . 8 = 4

Answer:

4.8125

Step-by-step explanation:

divide 5 by 12 then multiply 11.55

Answer:

D) (x + 4)(x+3)(x+2)

Step-by-step explanation:

Used synthetic division to find factors.