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
patriot [66]
3 years ago
14

A box has a volume of 135 feet3. The length is same as the height, and the width is 5 times the length. What are the dimensions

of the box?
Mathematics
1 answer:
snow_lady [41]3 years ago
7 0
Let the length be x ft, width=5x ft, height=x ft
thus the volume will be:
volume=length*width*height
thus
135=x×x×5x
135=5x³
solving for x we get:
27=x³
getting the cube root of both sides:
∛27=x³
x=3 ft
thus
length=3 ft, height=3ft, width=3×5=15 ft

You might be interested in
PLEASE HELP:)
Debora [2.8K]
The first incorrect is the second step so choice B. ,bc. the exponents need assuming not multiply 

hope helped 
8 0
3 years ago
A quality control expert at Glotech computers wants to test their new monitors. The production manager claims they have a mean l
tankabanditka [31]

Answer:

The probability that the mean monitor life would be greater than 96.3 months in a sample of 84 monitors

P(X⁻ ≥ 96.3) = 0.0087

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that the mean of the Population = 95

Given that the standard deviation of the Population = 5

Let 'X' be the random variable in a normal distribution

Let X⁻ = 96.3

Given that the size 'n' = 84 monitors

<u><em>Step(ii):-</em></u>

<u><em>The Empirical rule</em></u>

         Z = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }

        Z = \frac{96.3 - 95}{\frac{5}{\sqrt{84} } }

       Z = 2.383

The probability that the mean monitor life would be greater than 96.3 months in a sample of 84 monitors

    P(X⁻ ≥ 96.3) = P(Z≥2.383)

                      =  1- P( Z<2.383)

                      =  1-( 0.5 -+A(2.38))

                      = 0.5 - A(2.38)

                     = 0.5 -0.4913

                    = 0.0087

<u><em>Final answer:-</em></u>

The probability that the mean monitor life would be greater than 96.3 months in a sample of 84 monitors

P(X⁻ ≥ 96.3) = 0.0087

3 0
3 years ago
Which shows a way to take apart 7?
sashaice [31]
Add 7 and 7 which is 14 and then take it apart because it is an even number
3 0
3 years ago
Read 2 more answers
What is the largest integer that is below square root of 7?
Butoxors [25]

Answer:

2

Step-by-step explanation:

Thats your answerrrrrr

7 0
2 years ago
Read 2 more answers
Let X denote the data transfer time (ms) in a grid computing system (the time required for data transfer) between a "worker" com
My name is Ann [436]

Answer:

a. The value of alpha is 3.014 and the value of beta is 12.442

b. The probability that data transfer time exceeds 50ms is 0.238

c. The probability that data transfer time is between 50 and 75 ms is 0.176

Step-by-step explanation:

a. According to the given data we have that the mean and standard deviation of the random variable X are 37.5 ms and 21.6.

Therefore, E(X)=37.5 and V(X)=(21.6)∧2  

To calculate alpha we would have to use the following formula:

alpha=E(X)∧2/V(X)

alpha=(37.5)∧2/21.6∧2

alpha=1,406.25 /466.56

​alpha=3.014

To calculate beta we would have to use the following formula:

β=  V(X) ∧2/E(X)

β=(21.6)  ∧2/37.5

β=466.56 /37.5

β=12.442

b. E(X)=37.5 and V(X)=(21.6)∧2  

Therefore, P(X>50)=1−P(X≤50)

Hence, To calculate the probability that data transfer time exceeds 50ms we use the following formula:

P(X>50)=1−P(X≤50)

=1−0.762

=0.238

The probability that data transfer time exceeds 50ms is 0.238

c. E(X)=37.5 and V(X)=(21.6)∧2  

​Therefore, P(50<X<75)=P(X<75)−P(X<50)  

Hence, To calculate the probability that data transfer time is between 50 and 75 ms we use the following formula:

P(50<X<75)=P(X<75)−P(X<50)

=0.938−0.762

=0.176

​

The probability that data transfer time is between 50 and 75 ms is 0.176

6 0
3 years ago
Other questions:
  • Please answer correctly !!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!
    11·1 answer
  • A train travels 68 kilometers in 2 hours, and then 64 kilometers in 3 hours. What is its average speed
    8·1 answer
  • I need help ASAP please help giving brainlist
    12·1 answer
  • How do i expand and simplify this please solve it step by step ​
    5·1 answer
  • Determine the function’s value when x = -1
    11·2 answers
  • Why is –1 + 1 = 0?<br><br> (please, please answer!!)
    15·1 answer
  • Thirty-six members of the middle school choir, or 30% participated in the regional contest, as shown in the model below.
    10·1 answer
  • Open a bank account make a deposit $150
    10·1 answer
  • Aldo spends $14 each time he travels the toll roads. He started the month with $224 in his toll road account. The amount, A
    9·1 answer
  • Nick bought 17 hamburgers for his friends. Each hamburger cost him $1.91, including tax. Which is the best estimate of the total
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!