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OLga [1]
3 years ago
12

Dakota and her dance troupe will be traveling to dance at New York City’s Rockefeller Center. Her ballet teacher said that the g

irls will leave on a charter bus very early on Thursday morning and their parents will leave a bit later. Dakota wants to do some sightseeing with her mom in New York and is worried that her parents will not catch up with the girls on the charter bus. Help determine if her parents will meet up with the charter bus before the bus gets into New York. Charter Bus The bus will leave Norfolk, VA at 6:00 a.m. on Thursday. The distance from Norfolk to New York City is 350 miles. The average speed of the bus is 50 miles per hour.
Determine how long it will take the charter bus to arrive in New York City. Represent the distance traveled every hour in a table of values.

At what time is the bus expected to arrive in New York City?

Personal Vehicle Dakota’s parents will leave Norfolk, VA at 7:30 a.m. on Thursday in their personal vehicle. The average speed the vehicle will travel is 70 miles per hour.

Determine how long it will take the vehicle to arrive in New York City. Represent the distance traveled every hour in a table of values.

At what time is the vehicle expected to arrive in New York City?

Meet Up
Dakota was concerned that her parents would not catch up with the bus.

Will her parents who are traveling in their personal vehicle catch up with Dakota on the charter bus? Explain your answer. Include a graphical representation of your explanation.


PLEASE HELP!!! 20 points
Mathematics
1 answer:
kompoz [17]3 years ago
6 0
The charter bus will take 7 hours to get there, so they will get there at 1pm. Her parents would actually get there before the bus because it's only going to take 5 hours.
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djverab [1.8K]

Answer:

To solve the system below by substitution, replace y in the second equation with 7−6x.

==> False

This statement is false. To solve the system by substitution, replace x in the second equation with 7−6x.

==> False.

This statement is false. To solve the system by substitution, replace y in the first equation with 7−6x.

==> False

This statement is false. To solve the system by substitution, replace y in the second equation with 6x−7.

==> True.

<em>From</em><em> </em><em>the</em><em> </em><em>first</em><em> </em><em>equat</em><em>ion</em><em>,</em><em> </em><em>6</em><em>x</em><em>-</em><em>y</em><em>=</em><em>7</em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>y</em><em>=</em><em> </em><em>6</em><em>x</em><em>-</em><em>7</em>

7 0
2 years ago
A set of card includes 20 yellow cards, 16 green card and 24 blue cards.what is the probability that a blue card is chosen at ra
m_a_m_a [10]
I think the answer would be
 0.4
5 0
3 years ago
Read 2 more answers
Find the area of a circle with a diameter of 6. Either enter an exact answer in terms of π or use 3.14 for π and enter your answ
____ [38]

Answer:

18.84 Units2

Step-by-step explanation:

C=2(3.14*r)

2( 3.14*3)

2( 9.42)

18.84

5 0
3 years ago
A piñata is a container filled with toys and candy and is broken open by hitting it with a stick. Sophia is trying to break the
belka [17]

Answer:

A) 0.24

B) The probability mass function of X, the number of hits required to break the piñata

X | P(X)

0 | 0.00

1 | 0.70

2 | 0.24

3 | 0.054

4 | 0.006

Step-by-step explanation:

Probability of Sophia breaking the piñata on the first attempt = 0.7

Probability of Sophia NOT breaking the piñata on the first attempt = 1 - 0.7 = 0.3

Probability of Sophia breaking the piñata on the second atrempt = 0.8

Probability of Sophia NOT breaking the piñata on the second atrempt = 1 - 0.8 = 0.2

Probability of Sophia breaking the piñata on the third atrempt = 0.9

Probability of Sophia NOT breaking the piñata on the second atrempt = 1 - 0.9 = 0.1

Probability of Sophia breaking the piñata on the fourth attempt = 1.0 (this is the highest number of attempts as a probability 1.0 means that the piñata breaks on the fourth attempt if it hasn't broken by now)

A) The probability that Sophia does not break the piñata on the first hit and does break the piñata on the second hit.

The required probability = (Probability that Sophia does not break the piñata on the first hit) × (Probability that Sophia does break the piñata on the second hit)

= 0.3 × 0.8 = 0.24

B) Let the random variable X represent the number of hits required for Sophia to break the piñata. Complete the probability distribution of X in the table below Probability of x 0.7

- X = 0, P(X) = 0

- X = 1

Probability of Sophia breaking the piñata on the first hit = 0.7

- X = 2

Probability of Sophia not breaking the piñata on the first hit, but breaking it on the second hit = 0.3 × 0.8 = 0.24

- X = 3

Probability of Sophia not breaking the piñata on the first and second hit, but breaking it on the third hit = 0.3 × 0.2 × 0.9 = 0.054

- X = 4

Probability of Sophia not breaking the piñata on the first, second and third hit, but breaking it on the fourth hit = 0.3 × 0.2 × 0.1 × 1.00 = 0.006

The probability mass function is then

X | P(X)

0 | 0.00

1 | 0.70

2 | 0.24

3 | 0.054

4 | 0.006

To check of we are correct, the probabilities should sum up to give 1.0

The cumulative probability

= 0.00 + 0.70 + 0.24 + 0.054 + 0.006 = 1.00

Hope this Helps!!!!

8 0
2 years ago
Jack went to the grocery store Thursday night and spent $25.85. He paid
castortr0y [4]
Jack paid 24.13 for the party
6 0
3 years ago
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