The owner of a small deli is trying to decide whether to discontinue selling magazines. He suspects that only 10.7% of his customers buy a magazine and he thinks that he might be able to use the display space to sell something more profitable. Before making a final decision, he decides that for one day he will keep track of the number of customers that buy a magazine. Assuming his suspicion that 10.7% of his customers buy a magazine is correct, what is the probability that exactly 4 out of the first 13 customers buy a magazine

We know that the square of any number is greater than or equal to zero ;

So if have a number like x :

[tex]( {x})^{2} \geqslant 0[/tex]

_________________________________

Now we have a number which is

( a - b ) ;

So we have :

[tex]( {a - b})^{2} \geqslant 0 [/tex]

##############################

Reminder :

[tex]( {a - b})^{2} = {a}^{2} - 2ab + {b}^{2} [/tex]

##############################

So we have :

[tex] {a}^{2} - 2ab + {b}^{2} \geqslant 0 [/tex]

Both sides plus 2ab :

[tex] {a}^{2} + {b}^{2} \geqslant 2ab [/tex]

Divided both sides by 2 :

[tex] \frac{ {a}^{2} + {b}^{2} }{2} \geqslant ab \\ [/tex]

_________________________________

And we're done.

Thanks for watching buddy good luck.

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Answer:

Step-by-step explanation:

the formula for finding  the volume of a cone would be V= 3.14 r sqaured * h/3

so plug that in and it would be   3.14(5.1) sqaured * 13/3

3.14 is the formula of pie which is in the formula for finding the volume of

5.1*5.1=  26.01

3.14* 26.01= 81.67    

13/3= 4.34

81.67* 4.34= 354.45

The volume of a right circular cone that has a height of 13 in and a base with a circumference of 5.1 inches is 8.97824.

Since

We know that

Volume = [tex]\pi r^2 \frac{h}{3}[/tex]

Since the circumference is 5.1 inches

So here the radius be like

Circumference = [tex]2\pi r[/tex]

5.1 = 2(3.14) r

r = 0.8121

Now the volume should be

[tex]= 3.14 \times (0.8121)^2 \frac{13}{3}[/tex]

= 8.97824

Hence, The volume of a right circular cone that has a height of 13 in and a base with a circumference of 5.1 inches is 8.97824.

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Answer:

79.25

Step-by-step explanation:

8*5=40

40-3/8=39.625

39.625*2=79.25

Hope this helps

Answer:

A

Step-by-step explanation:

The maximum number of students, x, who could ​attend the movie are,

⇒ x ≈ 21

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

A teacher can spend as much as $125.00 to take students to a movie.

And, ​A movie theater charges a $10.00 group fee and $5.50 per ticket.

Let maximum number of students, x, who could ​attend the movie = x

Hence, We can formulate;

5.50x + 10 ≤ 125

Solve for x;

5.50x ≤ 125 - 10

5.50x ≤ 115

x ≤ 115 / 5.50

x ≤ 20.90

x ≈ 21

Thus, The maximum number of students, x, who could ​attend the movie are,

⇒ x ≈ 21

Learn more about the inequality visit:

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Answer:

26.79 (rounded to the nearest hundredth)

Answer:

16 feet, 2 seconds

Step-by-step explanation:

as the problem state that h= height and t = time, to get the h you need to isolate it so we divide it by 2 and we get 16 feet. The 2 are already in the problem h(2).

Answer:

121π or ≈380.13

Step-by-step explanation:

Area of a circle = πr²

A = π(11)²

A = 121π or A ≈ 380.13

Answer:

look on khan academy

Step-by-step explanation:

The  example of the identity property of 0 will be 0 + (–7 5/6) = –7 5/6. Then the correct option is C.

According to the identity property of addition, any value is that summation of 0 and any other value.

a + 0 = a

The  example of the identity property of 0 will be

0 + (–7 5/6) = –7 5/6

Then the correct option is C.

More about the identity property of addition link is given below.

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Answer:

39 feet.

Perimeter is the distance around a shape. To solve for it, we must add all the values together.

[tex]3 + 8 + 7 + 11 + 10 = 39[/tex]

If you need me to explain more, let me know.

Answer:

x = 19

Step-by-step explanation:

the question tells you that the angle CBD is 90°.

so, that means that angle DBE and angle CBE add up to 90.

using this, you can make the following equation:

2x - 1 + 5x - 42 = 90

2x + 5x + -43 = 90

7x - 43 = 90

add 43 to both sides

7x = 90 + 43

7x = 133

x = 133/7

x = 19

Answer:it’s the second one

Step-by-step explanation:

Answer:

the 2nd one

Step-by-step explanation:

I asked my brother and he said it was that one

[tex]21x^{2} -16x^{2} = 5x^{2} \\-18x-9x=-27x\\4-8=-4\\25x^{3} +5x^{2} -27x-4\\A[/tex]

9514 1404 393

Answer:

  1.  see the first attachment for a graph; quadrants I, II, III; vertex (-3, -4); x-intercepts -5, -1; graph is dashed line, shaded inside the parabola, which opens up

  2.  see the second attachment for a graph; all quadrants; vertex (1, 2); x-intercepts 1±√2; graph is a solid line, shaded outside the parabola, which opens down; (-7, 0) is a solution

Step-by-step explanation:

1. The boundary expression is in vertex form, so the vertex can be read directly.

  y = (x -h)^2 +k . . . . . . parabola with vertex (h, k)

  y > (x +3)^2 -4 . . . . .  (h, k) = (-3, -4)

The leading coefficient is +1, a positive number, so the parabola opens up. The relation is y > ( ), so values of y above the dashed line will be shaded. Those values are inside the parabola. The points (0, 0) and (-7, 0) are not in the shaded area, so are not solutions.

__

2. Again, the boundary expression is in vertex form, so the vertex can be read directly.

  y ≥ -(x -1)^2 +2 . . . . . (h, k) = (1, 2)

The x-intercepts are found by solving for x when y=0:

  0 = -(x -1)^2 +2

  x -1 = ±√2

  x = 1±√2

The leading coefficient is -1, so the parabola opens downward. The relation is y ≥ ( ), so y-values above the solid line will be shaded. Those values are outside the parabola. Point (0, 0) is not a solution. Point (-7, 0) is a solution.

_____

Additional comment

As with the graph of any inequality, the boundary line is solid when the "or equal to" case is part of the relation. If the relation is strictly "greater than" or "less than", then the boundary line is dashed.

Answer:

336 minutes

Step-by-step explanation:

Mean finishing time: 278 minutes

Standard Deviation: 63 minutes

Confidence interval: [278 - 63] , [278 + 63]  = [215 , 341] minutes

What finishing time defines the fastest 7.93% of runners?

This means the 7.93% of time closest to the upper limit of 341 minutes

341 - 215  ≡  63 × 2  = 126

7.93% of 126  = 0.0793 × 126  = 9.9918

341 - 9.9918 = 331.0082

Hence the finishing time that defines the fastest 7.93% of runners has an interval of [331 , 341] minutes with a mean or average of 336.0041 ≅ 336 minutes

Answer:

314.16cm²

Step-by-step explanation:

The answer is:

a = 20/3 = 6 2/3

Answer:

11 duh

Step-by-step explanation:

Answer:

I don't know what your asking, but if your asking about colors here you go.

Step-by-step explanation:

Green = G

Blue = B

Black = BL

Yellow = Y

Orange = O

Grey = GR

Purple = P

Red = R

Pink = PI

Thats all that I can think of right now

9514 1404 393

Answer:

  8 m

Step-by-step explanation:

Using the given information, we know that ...

  64 m^2 = A = s^2

  (8 m)^2 = s^2

  8 m = s

The length of one side of the room is 8 meters.

Answer:

Are you trying to create a meeting?

Step-by-step explanation:

If u are i can help? :)