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Lerok [7]
3 years ago
15

utilizando la equivalencia indicada, resuelve el siguiente ejercicio: 1 pulgada = 2.54cm 4.2 cm = _____ pulgadas

Mathematics
1 answer:
Phoenix [80]3 years ago
4 0
<span>Los 4.2 centímetros es equivalente a 1.6 pulgadas</span>
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Please solve the question and give correct answer with explanation so that i can understand it​
denis-greek [22]

Answer:

  • Yes

Step-by-step explanation:

Let the speed of the car is c and speed of the plane is p.

<h3>We are given:</h3>

The speed of the plane is 7 times the speed of the car

  • p = 7c

The distance traveled is

  • d = 315 km

The time difference to travel this same distance is 3 hours.

<h3>We know that:</h3>
  • d = ts, where d- distance, t- time, s - speed

Find the time for car and plane and their difference.

<h3>Car</h3>
  • t = d/s = 315/c
<h3 /><h3>Plane</h3>
  • t = d/s = 315/p = 315/(7c) = 35/c
<h3 /><h3>The difference</h3>
  • 315/c - 45/c = 3

<u>Solve it for c:</u>

  • (315 - 45)/c = 3
  • 270/c = 3
  • c = 270/3
  • c = 90 km/h

Now find the speed of plane:

  • p = 7c = 7*90 = 630 km/h

As we see, Jenny is right

6 0
2 years ago
On a multiple-choice test. Abby randomly guesses on all seven questions. Each question
Murrr4er [49]

Answer:

0.173 probability that she gets exactly three questions correct.

Step-by-step explanation:

For each question, there are only two possible outcomes. Either she guesses the correct answer, or she does not. The probability of guessing the correct answer for a question is independent of other questions. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

Seven questions:

This means that n = 7

Each question has four choices.

Abby guesses, which means that p = \frac{1}[4} = 0.25

Find the probability to the nearest thousandth, that Abby gets exactly three questions correct.

This is P(X = 3).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 3) = C_{7,3}.(0.25)^{3}.(0.75)^{4} = 0.173

8 0
3 years ago
What value of X makes equation below true 2x + 9 = 4x - 1
ale4655 [162]

Answer:

5

Step-by-step explanation:

7 0
3 years ago
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Which shows a reflection of the triangle?
lora16 [44]
C, or the last photo, shows a reflection.
4 0
3 years ago
Read 2 more answers
Solve the system of equations.
Sloan [31]

Answer:

b.

( -3, -5)

Step-by-step explanation:

6x + 13 = 2x + 1

6x -2x = 1-13

4x = -12

x = -12/4 = -3

y = 6x + 13

y = 6(-3) +13 = -18+13 = -5

(x, y) = (-3,-5)

7 0
3 years ago
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