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VMariaS [17]
3 years ago
11

The trip from Manhattan to Montauk Point is 120 miles by train or by car. A train makes the trip in 2 hours, while a car makes t

he trip in 2.5 hours. How much faster in miles per hour, is the average speed of the train than the average speed of the car?
Mathematics
1 answer:
Inga [223]3 years ago
8 0

Answer:

30mph faster

Step-by-step explanation:

first you must find how fast the train can go in 1 hour

that is 60mph, then multiply 60 and 2.5

60x2.5 = 150mph then,

150 - 120 =30mph

very sorry if this is wrong

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Sloan [31]

When you have multiplying with same base, you add the power, for example here : z^6 * z^3 = z^(6+3) = z^9.

When you have dividing with the same base, you substract it, for example here : z^9/z^4 = z^(9-4) = z^5.

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4 years ago
What does x equal? ​
noname [10]

Answer:

0

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
The probability that a randomly selected 2 2​-year-old male garter snake garter snake will live to be 3 3 years old is 0.98861 0
Mnenie [13.5K]

Answer:

a. Probability = 0.97735

b. Probability = 0.92294

c. P(At\ Least\ One) = 1

No, it is not unusual if at least 1 lives up to 3.

Step-by-step explanation:

Given

Represent the probability that a 2 year old snake will live to 3 with P(Live);

P(Live) = 0.98861

Solving (a): Probability that two selected will live to 3 years.

Both snakes have a chance of 0.98861 to live up to 3 years.

So, the required probability is:

Probability = P(Live)\ and\ P(Live)

Probability = 0.98861 * 0.98861

Probability = 0.9773497321

Probability = 0.97735 <em>--- Approximated</em>

Solving (b): Probability that seven selected will live to 3 years.

All 7 snakes have a chance of 0.98861 to live up to 3 years.

So, the required probability is:

Probability = P(Live)^n

Where n = 7

Probability = 0.98861^7

Probability = 0.92294324145

Probability = 0.92294 <em>--- Approximated</em>

Solving (c): Probability that at least one of seven selected will not live to 3 years.

In probabilities, the following relationship exist:

P(At\ Least\ One) = 1 - P(None).

So, first we need to calculate the probability that none of the 7 lived up to 3.

If the probability that one lived up to 3 years is 0.98861, then the probability than one do not live up to 3 years is 1 - 0.98861

This gives:

P(Not\ Live) = 0.01139

The probability that none of the 7 lives up to 3 is:

P(None) = P(Not\ Live)^7

P(None) = 0.01139^7

Substitute this value for P(None) in

P(At\ Least\ One) = 1 - P(None).

P(At\ Least\ One) = 1 - 0.01139^7

P(At\ Least\ One) = 0.99999999999997513055642436060443621

P(At\ Least\ One) = 1 ---- Approximated

No, it is not unusual if at least 1 lives up to 3.

This is so because the above results, which is 1 shows that it is very likely for at least one of the seven to live up to 3 years

7 0
3 years ago
¿En cuánto se convierte un capital de C=$8,000 después de n=5 años a una tasa de interés compuesto del i=10% anual?
slava [35]

Evaluando una ecuación exponencial, veremos que luego de 5 años el capital se convierte en $12,884.08

<h3>¿En cuánto se convierte el capital?</h3>

Esta situación se podra modelar con la ecuación exponencial:

f(n) = $8,000*(1 + 10%/100%)ⁿ

Donde n es el número de años.

Podemos simplificar la ecuación para obtener:

f(n) = $8,000*(1.1)ⁿ

Ahora queremos ver el valor que toma esto cuando n = 5, asi obtenemos:

f(n) = $8,000*(1.1)⁵ = $12,884.08

Así que luego de 5 años, el capital se convierte en $12,884.08.

Sí quieres aprender más sobre ecuaciones exponenciales:

brainly.com/question/11832081

#SPJ1

4 0
2 years ago
A.perform the indicated operation.<br><br> 1.(6x-4)+(-2x+2)<br> Solution and answer:
Anestetic [448]

Answer:

4x - 2

Step-by-step explanation:

(2(3x-2))+(-2(x-1))

2(3x-2)-2(x-1)

2(3x-2-(x-1))

2(3x-2-<u>x</u><u>+</u><u>1</u><u>)</u>

<u>2</u><u>(</u><u>2x-1</u><u>)</u>

<u>4x-2</u>

3 0
3 years ago
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