1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kramer
3 years ago
6

A vehicle traveled at a speed of 54 kilometers per hour for 3 hours. Find the distance traveled.

Mathematics
1 answer:
Arada [10]3 years ago
4 0

So, we need to multiply these values, since we are looking for distance.

\frac{54km}{1hr}\times3hr=162km

He travelled 162km.


Hope this helps!

You might be interested in
What is the value of x?<br><br> x=____
I am Lyosha [343]

Equilateral triangle means each angle equals 60 degrees.

60 = 7x - 3

63 = 7x

x = 9

8 0
3 years ago
A car travels 76 km in 47 minutes.
Mumz [18]

Answer:

97km/h to 1dp

Step-by-step explanation:

47mins is 0.783 of an hour

76km/0.783 = 97.0212km/h

3 0
3 years ago
In Illinois, 9% of all drivers arrested for DUI (Driving Under the Influence) are repeat offenders; that is, they have been arre
Veseljchak [2.6K]

Answer:

a) 21.58% probability that exactly 3 people are repeat offenders

b) 97.91% probability that at least one person is a repeat offender

c) 3.69

d) 1.83

Step-by-step explanation:

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.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

9% of all drivers arrested for DUI (Driving Under the Influence) are repeat offenders

This means that p = 0.09

41 people arrested for DUI in Illinois are selected at random.

This means that n = 41

a. What is the probability that exactly 3 people are repeat offenders?

This is P(X = 3).

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

P(X = 3) = C_{41,3}.(0.09)^{3}.(0.91)^{38} = 0.2158

21.58% probability that exactly 3 people are repeat offenders

b. What is the probability that at least one person is a repeat offender?

Either none are repeat offenders, or at least one is. The sum of the probabilities of these outcomes is 1. So

P(X = 0) + P(X \geq 1) = 1

We want P(X \geq 1).

Then

P(X \geq 1) = 1 - P(X = 0)

In which

P(X = 0) = C_{41,0}.(0.09)^{0}.(0.91)^{41} = 0.0209

P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0209 = 0.9791

97.91% probability that at least one person is a repeat offender

c. What is the mean number of repeat offenders?

E(X) = np = 41*0.09 = 3.69

d. What is the standard deviation of the number of repeat offenders?

\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{41*0.09*0.91} = 1.83

4 0
2 years ago
ILL GIVE U BRAINLESS I NEEED THE ANSWER ASAP LOL
Bogdan [553]

Answer:

what is the question

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
(2n3 - 3n4 + 7n) - (n3 - 8n4 - 7n)
deff fn [24]

Answer:

Step-by-step explanation:

(2n³ - 3n⁴ + 7n) - (n³ - 8n⁴ - 7n) = 2n³ - 3n⁴ + 7n - n³ + 8n⁴ + 7n

  {Here -1 is distributed }

                                                  = <u>2n³ - n³</u> -<u> 3n⁴ + 8n</u>⁴ +<u> 7n + 7n</u>

                   {Combine like terms}

                                                  = n³ + 5n⁴ + 14n

8 0
3 years ago
Read 2 more answers
Other questions:
  • Does this graph show a function explain how you know
    5·2 answers
  • Is this equation written in STANDARD FORM AX+BY=C? 7x =-3 ? Why or why not?
    9·1 answer
  • The soccer field at Mario's school has a area of 6,000 square miles.How can Mario show the area as a whole number multiplied by
    14·1 answer
  • Please help!<br> 4x(5y-x)-5y(4x-y)
    13·2 answers
  • How do you solve this
    7·1 answer
  • What two properties of a Cepheid variable star do we need to know in order to calculate the approximate distance from Earth?
    6·1 answer
  • Please help ill mark brainliest ✅✅✅✅
    7·1 answer
  • Y = −2/3x − 2/3 is
    6·1 answer
  • For Each coin, state its worth as a percentage of $1?
    8·2 answers
  • I hope someone can help me here please don't answer nonsense!​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!