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
Sergeu [11.5K]
2 years ago
14

Divide. Write the quotient in lowest terms. 4 2/3 / 7

Mathematics
1 answer:
Degger [83]2 years ago
5 0

The quotient in lowest term exists 2/3.

<h3>What is an improper fraction?</h3>

An improper fraction exists as a fraction whose numerator exists equivalent to, larger than, or of equivalent or higher degree than the denominator.

Given the quotient: $4\frac{2}{3} \div 7

Write $\frac{2}{3} in improper fraction

$4\frac{2}{3}= \frac{14}{3}

Dividing throughout by 7 on both sides of the equation, we get

$4\frac{2}{3} \div 7 = \frac{14}{3}\div 7

Change the division sign to multiplication by taking the reciprocal of 7

$\frac{14}{3}\div 7 = \frac{14}{3} \times \frac{1}{7}

Simplifying the above equation, we get

$\frac{14}{3}\div 7 = \frac{2}{3}

Therefore, the quotient in lowest term exists 2/3.

To learn more about improper fractions refer to:

brainly.com/question/387381

#SPJ9

You might be interested in
Use the function f(x) = -3x^2+13x+3 to find x when f(x) = -7
Bond [772]

Answer: - 235

<u>Step-by-step explanation:</u>

f(x) = -3x² + 13x + 3

f(-7) = -3(-7)² + 13(-7) + 3

      = -3(49) - 91 + 3

      = -147 - 88

      = -235  

7 0
4 years ago
Read 2 more answers
Under average driving conditions, the life lengths of automobile tires of a certain brand are found to follow an exponential dis
wariber [46]

Answer:

a) P(X>30000)=1-( 1- e^{-\frac{30000}{30000}})=e^{-1}=0.368

b) P(X>30000|X>15000)=P(X>15000)=1-( 1- e^{-\frac{15000}{30000}})=e^{-0.5}=0.607

Step-by-step explanation:

Previous concepts

The exponential distribution is "the probability distribution of the time between events in a Poisson process (a process in which events occur continuously and independently at a constant average rate). It is a particular case of the gamma distribution". The probability density function is given by:

P(X=x)=\lambda e^{-\lambda x}, x>0

And 0 for other case. Let X the random variable that represent "life lengths of automobile tires of a certain brand" and we know that the distribution is given by:

X \sim Exp(\lambda=\frac{1}{30000})

The cumulative distribution function is given by:

F(X) = 1- e^{-\frac{x}{\mu}}

Part a

We want to find this probability:

P(X>30000) and for this case we can use the cumulative distribution function to find it like this:

P(X>30000)=1-( 1- e^{-\frac{30000}{30000}})=e^{-1}=0.368

Part b

For this case w want to find this probability

P(X>30000|X>15000)

We have an important property on the exponential distribution called "Memoryless" property and says this:

P(X>a+t| X>t)=P(X>a)  

On this case if we use this property we have this:P(X>30000|X>15000)=P(X>15000+15000|X>15000)=P(X>15000)

We can use the definition of the density function and find this probability:

P(X>15000)=1-( 1- e^{-\frac{15000}{30000}})=e^{-0.5}=0.607

7 0
3 years ago
Paula, Joanne, and Mary own a total of 16 dogs, among which are 3 poodles, twice that many cocker
amm1812

Answer:

2

Step-by-step explanation:

4 0
3 years ago
Please help! find the perimeter
sveta [45]

Answer:

9.5

Step-by-step explanation:

Add all the sides together

7 0
3 years ago
Read 2 more answers
Is x plus y equals 3, then 3 equals x plus y. what is the property
Oksanka [162]

Answer

associative property of addition.

7 0
4 years ago
Other questions:
  • Find the perimeter of triangle abc with vertices a(-1,2) b(3,6) c(3,-2)
    12·1 answer
  • Assuming that the petals of the flower are congruent, how many lines of symmetry does the figure have? A. 0 B. 4 C. 6 D. 8
    6·1 answer
  • What is 3.06 x 10^23 plz answer quick
    12·1 answer
  • c. Assume that the manufacturer's claim is true, what is the probability of such a tire lasting more than 60,000 miles?
    10·1 answer
  • Find the equation of the line that passes through (4,8) with slope -3. write in slope intercept form
    14·1 answer
  • The price of an iPad Air is initially $500. iPads owned by a college student depreciate at a rate of 3% per
    8·1 answer
  • What is the equation of the line that passes through the point (5,2) and has a<br> slope of -6
    14·1 answer
  • What is 2.5w in mathmatics
    9·2 answers
  • X(9+3x) if x=5 what is the answer
    12·2 answers
  • 20 points please help with this
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!