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AysviL [449]
2 years ago
6

According to New Jersey Transit, the 8:00 a.M. Weekday train from Princeton to New York City has a 90% chance of arriving on tim

e on a randomly selected day. Suppose this claim is true. Choose 6 days at random. Let X = the number of days on which the train arrives on time. 1. Explain why this is a binomial setting.
Mathematics
1 answer:
ser-zykov [4K]2 years ago
6 0
Digit numbers.

Let the numbers 00 to 89 represent that the train is on time.

Let the numbers between 90 and 99 represent that the train is late.

Randomly select 6 numbers, with repetition allowed.

Count the number of times the train is late.

Repeat this simulation multiple times.

You will most likely obtain a result of between 0 and 2 times that the train is late.
You might be interested in
Caleb draws 14 dogs on each of 4 posters.He draws 18 cats on each of 6 other posters. If he draws 5 more dogs on each poster wit
MatroZZZ [7]
Caleb draws 14 dogs on each of 4 posters.
Then,
Number of dogs drawn by caleb in the first instance = (14 * 4) dogs
                                                                                    = 56 dogs
Celeb drew 18 cats on each of 6 other posters.
Then
Number of cats drawn by Caleb in the first instance = (18 * 6) cats
                                                                                   = 108 cats
Again Caleb draws 5 more dogs on each poster with dogs.
Then,
The number of Dogs drwn in the second instance = (5 * 4) dogs
                                                                                 = 20 dogs
So, the total number of dogs drawn by Caleb = ( 56 + 20) dogs
                                                                         = 76 dogs
Then the total number of cats and dogs drawn by Caleb = 108 + 76
                                                                                           = 184
5 0
2 years ago
Felipe trabaja en una construcción ayuda a cotizar materiales entre ellos cables para diversos propósitos el arquitecto le pidió
Alekssandra [29.7K]

Answer:

a) 0.64mm

b) 7/25

Step-by-step explanation:

Felipe trabaja en una construcción ayuda a cotizar materiales entre ellos cables para diversos propósitos.El arquitecto le pidió cotizar un cable de 16/25 mm de diámetro. en los catálogos disponibles en as tiendas las medidas aparecen expresadas en números decimales como se muestra en la imagen

¿Que debe hacer felipe para saber el diámetro del cable que pidió el arquitecto?

¿que medida en forma de fracción le corresponde al cable que mide 0.28? ¿como lo determinaste? es urgenteeee GRACIAS

a) Dada la dimensión fraccionaria del cable expresada como 16/25 mm, dado que Felipe debe expresar esta fracción en decimal para obtener la medida requerida, dividiremos la expresión usando una división larga como se muestra en el anexo. Desde el archivo adjunto;

16/25 mm = 0,64 mm

b) La medida fraccionaria corresponde al cable que mide 0.28 se expresa como se muestra. Convertir 0,28 a fracción.

0.28 = 28/100 (Tenga en cuenta que dividimos por 100 porque hay dos valores decimales después del punto decimal)

Sobre la simplificación en su término más bajo

28/100 = 4 * 7/4 * 25

28/100 = 4/4 * 7/25

28/100 = 1 * 7/25

28/100 = 7/25

Por lo tanto, la medida fraccionaria que corresponde al cable que mide 0.28 es 7/25.

8 0
2 years ago
Mariana's salary is $31,000. Juan's salary is
Law Incorporation [45]

Answer:

$2,000   or     6.25%

Step-by-step explanation:

1000 x 2 = 2000      

28000 + 2000 = 30000 Juan's salary after 2 years

500 x 2 = 1000          

31000 + 1000 = 32000 Mariana's salary after 2 years

30000 - 32000 = 2000 difference in salary

2000/32000 x 100= 6.25 difference in salary in percentage

8 0
2 years ago
Find the volume of a right circular cone that has a height of 12.5 cm and a base with a circumference of 5.8 cm. Round your answ
BaLLatris [955]

Answer:

V = 11.2 cm^3

Step-by-step explanation:

Given

Shape: Right Circular cone

Height, h = 12.5 cm

Base circumference, C = 5.8cm

Required:

Calculate Volume

The volume of a cone is calculated as thus;

Volume, V = \frac{1}{3}\pi r^2h

Where V, r and h represent the volume, the radius and the height of the cone respectively

But first we need to calculate the radius of the cone.

Using formula of circumference.

C = 2\pi r

We have C to be 5.8cm

By substituting this value;

5.8 = 2\pi r

Divide through by 2\pi

\frac{5.8}{2\pi} = \frac{2\pi r}{2\pi}

r = \frac{5.8}{2\pi}

r = \frac{2.9}{\pi}

Now, we can calculate the volume of the cone

By substituting r = \frac{2.9}{\pi} and h = 12.5 cm;

V = \frac{1}{3}\pi r^2h becomes

V = \frac{1}{3}\pi * (\frac{2.9}{\pi})^2 * 12.5

V = \frac{1}{3}\pi * \frac{8.41}{\pi^2} * 12.5

V = \frac{1}{3} * \frac{8.41}{\pi} * 12.5

Take \pi as 3.14

V = \frac{1}{3} * \frac{8.41}{3.14} * 12.5

V = 11.15976

V = 11.2 cm^3 ---- Approximated

Hence, the volume of the cone is; V = 11.2 cm^3

4 0
2 years ago
A high school wants to sell postage stamps with the school logo on them. The fundraising group have purchased 500 sheets of stam
erma4kov [3.2K]

Answer:

a) Cost

C(q) = 50+16q\\\\C(500)=50+16(500)=50+8,000=8,050

b) Sales income

S(q)=20q\\\\S(500)=20\cdot 500 = 10,000

c) Table of values

\left[\begin{array}{ccc}q&C(q)&S(q)\\0&50&0\\250&4,050&5,000\\500&8,050&10,000\end{array}\right]

d) Attached

e) Breakeven point = 12.5 sheets

f) Profit at 550 sheets = $1,950

Step-by-step explanation:

a) We have a fixed cost for the image, at $50.

We also have a variable cost of $16 a sheet.

The purchased quantity is 500 sheets.

Then, the cost function is:

C(q) = 50+16q\\\\C(500)=50+16(500)=50+8,000=8,050

b) The price for each sheet is $20, so the income from sales are:

S(q)=20q\\\\S(500)=20\cdot 500 = 10,000

c) Table of values

\left[\begin{array}{ccc}q&C(q)&S(q)\\0&50&0\\250&4,050&5,000\\500&8,050&10,000\end{array}\right]

d) Attached

e) The minimum number of sheets the group must sell so they don't lose any money is the breakeven point (BEP) and can be calculated making the income sales equal to the cost:

S(q)=C(q)\\\\20q=50+16q\\\\(20-16)q=50\\\\4q=50\\\\q=50/4=12.5

f) This profit can be calculated as the difference between the sales income and the cost:

P(500)=S(500)-C(500)\\\\P(500)=20\cdot 500-(50+16\cdot 500)=10,000-8,050=1,950

3 0
2 years ago
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