I beeps help please

Carlos drove to the train station and back. The trip there took five hours and the trip back took four hours. What was Carlos' a

katrin2010 [14]

Answer: 54.4 mph

Step-by-step explanation:

First find the distance to the train station. If it took Carlos 4 hours to come back driving at 68 mph, the distance is:

= Speed * time

= 68 * 4

= 272 miles

This means that Carlos drove for 5 hours to cover 272 miles the first time. His average speed was therefore:

= Distance / time

= 272/5

= 54.4 mph

3 0

3 years ago

A coin is tossed and a single 6 sided number cube is rolled. Find the probability of landing on the heads side of the coin and r

Delicious77 [7]

Answer:

The probability of landing on the heads side of the coin and rolling 3 on the number cube is 0.083.

Step-by-step explanation:

Given:

Coin is tossed and a single 6 sided number cube is rolled.

Let the event of tossing head be 'H' and event of rolling a 3 be 'R3'.

Now, we know that:

Probability of an event 'A' = Favorable outcomes of 'A' ÷ Total possible outcomes

Now, for tossing a coin, the total possible outcomes are head and tail. So, there are 2 possible outcomes.

So, probability of event 'H' is given as:

$P(H)=\dfrac{n(H)}{n(S)}\\\\P(H)=\frac{1}{2}=0.5$

Similarly, for rolling a 6 sided cube, the possible outcomes are numbers 1 to 6. So, the number of possible outcomes is, $n(S)=6$

Now, probability of rolling a 3 is given as:

$P(R3)=\frac{n(R3)}{n(S)}\\\\P(R3)=\frac{1}{6}$

Now, both the events 'H' and 'R3' occur together. So, the combined probability is the product of two individual probabilities as they are independent events. So,

$P(H\ and\ R3)=P(H)\times P(R3)\\\\P(H\ and\ R3)=\frac{1}{2}\times \frac{1}{6}\\\\P(H\ and\ R3)=\frac{1}{12}=0.083$

Note: Independent events are those events whose intersection is an empty set of events or the outcome of one event doesn't affect the outcome of the other event.

Therefore, the probability of landing on the heads side of the coin and rolling 3 on the number cube is 0.083.

4 0

3 years ago

Create a story that is about one page in length using at least five different algebraic expressions and/or equations. These are

nikitadnepr [17]

Answer:

A character is offered five different jobs. They all include an hourly wage, as well as a set weekly base pay. One example is a job that pays $8.50 an hour, plus an additional $25 bonus for the week. (Weekly base pay is what you automatically get paid for working the entire week. A bonus is money you earn in addition to the weekly base pay.) Story Starter 2: A character is searching for the best cell phone plan to buy. One plan costs $25 a month, plus $0.89 per minute used. Story Starter 3: A character is trying to decide which cab to choose from the five available. All the cabs have different rates per mile. They also charge different flat rates in addition to the rates per mile. One cab is offering a rate of $0.75 per mile, plus a flat fee of $25.

Step-by-step explanation:

8 0

3 years ago

Realice la óperacion y exprese el resultado en notación científica (0,00000826) (235×10 elevado a -7) sobre 0,0017×10 elevado a

earnstyle [38]

Answer:

1,42 * 10 ^ -5

Step-by-step explanation:

La notación científica también se conoce como forma estándar.

Tenemos que realizar la siguiente operación y dejar el resultado en forma estándar.

Entonces;

0,00000826 * 235 × 10 ^ -7 / 0,0017 × 10 ^ -2

También;

8.26 * 10 ^ -6 * 2.35 * 10 ^ -5 / 1.7 * 10 ^ -5

= 19,411 * 10 ^ -11 / 1,7 * 10 ^ -5

= 1,42 * 10 ^ -5

6 0

2 years ago

Craig is folding laundry for his family. in the basket 1/6 of the shorts belong to his older brother and 3/6 of the shirts belon

marishachu [46]

I'm assuming you meant shirts instead of shorts for the older brother.

1/6 + 3/6 = 4/6

4/6 of the shirts belong to his brothers
(or 2/3 if you simplify the fraction)

5 0

3 years ago