Harriet buys lunch at school every day. She always gets
pizza when it is available. The cafeteria has pizza about 80% of the time.

Harriet runs a simulation to model this using a random
number generator. She assigns these digits to the possible outcomes for each day of the week:

• Let 0 and 1 = no pizza available

• Let 2, 3, 4, 5, 6, 7, 8, and 9 = pizza available

The table shows the results of the simulation.

Group number
Random digits
1: 19223
2: 73676
3: 45467
4: 52711
5: 95592

Group number
Random digits
6: 68417
7: 82739
8: 60940
9: 36009
10: 38448

What is the estimated probability that Harriet will eat pizza for lunch
every day next week?

A. 7/10 = 70%
B. 4/10 = 40%
C. 5/10 = 50%
D. 0/10 = 0%

Answer:

.3988 .

Step-by-step explanation:

We shall use Binomial distribution formula in the problem .

n = 103

The probability that a passenger will not miss the flight and show up = .97

The probability that a passenger will miss the flight = .03

n = 103 ,

probability of showing up  101 , 102 and 103 passengers so that at least 1 passenger will return or bump .

= 103C₁₀₁ .97¹⁰¹ .03² + 103C₁₀₂ .97¹⁰² .03+ 103C₁₀₃ .97¹⁰³

103 x 102 /2  .97¹⁰¹ .03² + 103  .97¹⁰² .03 + .97¹⁰³

= 5253 x .046 x .0009 + 103 x .00134 + .0434

= .2174 + .1380 + .0434

= .3988 .

The probability that the airline will have to bump at least one passenger is; 0.3988

Probability that the travelers did not show up for the flight is; q = 3% = 0.03

Probability that they will show up for the flight is; p = 97% = 0.97

P(X = r) = nCr × p^(r) × q^(n - r)

Thus, the probability that the airline will have to bump at least one passenger is;

(103C₁₀₁ × 0.97¹⁰¹ × 0.03²) + (103C₁₀₂ × 97¹⁰² × 0.03) + (103C₁₀₃ × 0.97¹⁰³ × 0.03⁰)

>> 0.2174 + 0.1380 + 0.0434

>> 0.3988

Read more on binomial probability at; https://brainly.com/question/15246027

Answer:

Factory

Step-by-step explanation:

Answer:

factory

Step-by-step explanation:

Answer:

Your answer is 264

Step-by-step explanation:

Answer:

U =1/7pd

Multiplying through by 7pd, we have U7pd=1

Dividing through by U7d , we have p=U7d*1

Therefore p= U7d

Answer:

C: (-4,3)

Step-by-step explanation:

2x+x+7=-5

3x+7=-5

3x=-12

x=-4

y=-4+7

y=3

(-4,3)

Answer:

Part A: Peter is, based on the graph, Peter's line is steeper(or has a higher slope) than Gina's.

Part B: Gina, She started with 70, while Peter started with 20. Based on the graph

Part C: They had the same amount of money on week 10, both of their dots are on the same point. Based on the graph.

Part D: Y = 10x + 20.

Part E: Y = 5x + 70

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

a function may not have the same values of X.

I believe it's A. B. and C.

Step-by-step explanation:

B is closest to y-axis

A isn't aligned with b

Answer:

5

Step-by-step explanation:

when dividing number by fractions,we can simply multiply the number by the reciprocal of the decimal

so,4÷1/5=4 ×(reciprocal of 1/5 )

A reciprocal of a number is the same no.written under 1 aka.1divided by that number which simply is flipping

numerator and denominator .

reciprocal of 1/5 is 5/1 =5

so 4÷1/5 = 4×5

so answer is 5

hope this is helpful

Answer:

(9/2, 4/3) or just x = 9/2, y = 4/3. (it's the same thing)

Step-by-step explanation:

First, multiply the first equation 2x + 3y = 13 by 2, so that you get 4x + 6y = 26. Now you have the same coefficient for y. Now, subtract the second equation 6y = 8 (i simplified it first) from the first one that is doubled. After that, you would have just one equation, 4x = 18. So x = 18/4 = 9/2. Substitute x to solve for y, and you'd get 4/3.

9514 1404 393

Answer:

  (x, y) = (-6, 8 1/3)

Step-by-step explanation:

The system of equations appears to be ...

Dividing the first equation by 2 gives ...

  3x +3y = 7

Subtracting the first equation from this, we get ...

  (3x +3y) -(2x +3y) = (7) -(13)

  x = -6

Then substituting for x in the first equation, we have ...

  2(-6) +3y = 13

  3y = 25 . . . . . . . . add 12

  y = 25/3 = 8 1/3 . . . . divide by 3

The solution is (x, y) = (-6, 8 1/3).

Answer:

The answer is,

[tex]x = \frac{4 + \sqrt{19} }{6}, \frac{4 - \sqrt{19} }{3} [/tex]

Answer:

d

Step-by-step explanation:

Answer:

y intercept is -4

x intercept is 2

Answer:

That is, two objects are congruent if we can move one of the objects, without changing its shape or size, in such a way that it fits exactly over the other image, and we call these movements congruence transformations.

Answer:

c

Step-by-step explanation:

2.68

Answer:

(a)

Step-by-step explanation:

The base angles theorem states that if 2 sides of a triangle are congruent, that is an isosceles triangle then the angles opposite these sides are equal.

Answer:

Step-by-step explanation:

The Base Angle Theorem states that in an isosceles triangle, the angles opposite the congruent sides are congruent.

Answer:

I'm pretty sure it c because pie is 3.14 and that time 3 would be a little over 9

Answer:

¯\_(ツ)_/¯

Step-by-step explanation:

Answer:

Step-by-step explanation:

n≤-2

n≥-4

or -4≤n

combining

-4≤n≤-2

Answer:

4(x - 3)(x^2 + 3x + 9)

Step-by-step explanation:

4x^3 - 108 = 4(x^3 - 27), or

                    4(x^3 - 3^3), or

                     4(x - 3)(x^2 + 3x + 9)    

We could choose to let 4 represent the height of the prism, x - 3 the width and x^2 + 3x + 9 the length.

Answer:

Step-by-step explanation:

Sides of the triangle:

Perimeter is the sum of side lengths:

Answer:

diameter =2xradius

diameter=2x4

diameter =8cm

Answer:8cm

Step-by-step explanation:

Answer:

The distance between them after 1 hour and 30 minutes will be of 63.64 miles.

Step-by-step explanation:

This question can be solved using the Pythagorean Theorem.

Both cars travel at a constant speed of 30 miles per hour. So, after 1 hour and 30 minutes, which is 1 and a half hour, they will have traveled 30*1.5 = 45 miles.

The distance between them is the hypotenuse of a right triangle, in which the sides are 45. So

[tex]d^2 = 45^2 + 45^2[/tex]

[tex]d = \sqrt{45^2 + 45^2}[/tex]

[tex]d = 63.64[/tex]

The distance between them after 1 hour and 30 minutes will be of 63.64 miles.

Answer:

21 games

Step-by-step explanation:

Multiply the number of games by the percentage.

35 · 0.60 = 21

Answer:

[tex]m\angle XYV=135^{\circ}[/tex]

Step-by-step explanation:

Notice that [tex]m\angle XYV=m\angle XYW+m\angle VYW[/tex].

The diagram already marks [tex]m\angle VYW=80^{\circ}[/tex], so we just need to find [tex]m\angle XYW[/tex].

[tex]\angle TYU[/tex] and [tex]\angle XYW[/tex] are vertical angles, which means they are equal in measure.

Therefore,

[tex]m\angle TYU=m\angle XYW=6x+7[/tex]

Since there are [tex]180^{\circ}[/tex] on each side of a line, we have the following equation:

[tex]m\angle XYW+m\angle VYW+m\angle UYV=180^{\circ},\\6x+7+13+4x+80=180,\\10x+20=100,\\10x=80,\\x=8[/tex].

Plugging in [tex]x=8[/tex], we have:

[tex]m\angle XYW=6(8)+7=55^{\circ}[/tex].

Therefore,

[tex]m\angle XYV=55^{\circ}+80^{\circ},\\m\angle XYV=\fbox{$135^{\circ}$}[/tex].

Answer:

Equation of line u in slope-intercept form is: [tex]\mathbf{y=\frac{1}{2}x+9 }[/tex]

Step-by-step explanation:

Equation of line t : y = -2x + 9.

We need to find equation of line u, which is perpendicular to line t and passes through point (-10,4)

The equation must be in slope-intercept form.

The general equation of slope-intercept form is: [tex]y=mx+b[/tex] where m is slope and b is y-intercept

Finding Slope:

If two lines are perpendicular, their slopes are opposite i.e [tex]m=-\frac{1}{m}[/tex]

Slope of line t: y=-2x+9 we get m =-2 (Comparing with general form y=mx+b, we get m =-2)

Slope of line u: [tex]\frac{1}{2}[/tex]

So, we get Slope of line u: m= [tex]\frac{1}{2}[/tex]

Finding y-intercept:

Using slope m= [tex]\frac{1}{2}[/tex] and point(-10,4) we can find y-intercept

[tex]y=mx+b\\4=\frac{1}{2}(-10)+b\\4=-5+b\\b=4+5\\b=9[/tex]

Equation of line u:

So, equation of line u, having slope m= [tex]\frac{1}{2}[/tex] and y-intercept b=9, we get:

[tex]y=mx+b\\y=\frac{1}{2}x+9[/tex]

So, Equation of line u in slope-intercept form is: [tex]\mathbf{y=\frac{1}{2}x+9 }[/tex]