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
spayn [35]
3 years ago
15

A shipping company is creating their own shipping boxes. They have created a box with a volume of 800in^3, a helght of 8 inches

and a base perimeter of 40 inches.
The machine malfunctioned, and in order to be fixed the correct dimensions of the box needed to be input. What length and width would a worker need to input in
order to fix the machine?

Length:?
inches width:?​
Mathematics
1 answer:
Kazeer [188]3 years ago
8 0

Answer:

Length=10 Inches

Width=10 Inches

Step-by-step explanation:

Volume of the box =800in^3

Height=8 Inches

Base Perimeter =40 Inches

Volume of a box=lbh

SInce h=8 in, V=800.

Then:

8bl=800

bl=100

l=\frac{100}{b}

Base Perimeter=40 Inches

Perimeter of the Base= 2(l+b)

Therefore: 2(l+b)=40

Substituting l=\frac{100}{b}

2(\frac{100}{b}+b)=40\\\frac{100+b^2}{b}=20\\$Cross Multiply\\100+b^2=20b\\b^2-20b+100=0\\$Solving the quadratic equation \\b^2-10b-10b+100=0\\b(b-10)-10(b-10)=0\\(b-10)(b-10)=0\\b-10=0 (Twice)\\b=10 \:Inch

Recall:

l=\frac{100}{b}=\frac{100}{10}\\l=10 Inch

Therefore:

Length=10 Inches

Width=10 Inches

You might be interested in
Find the area of the trapezoids.
Serjik [45]

Answer:

Area of STAR is 12, Area of SKCO= 10.5

Step-by-step explanation:

7 0
3 years ago
Solve the equation 15p2 + 7p − 4 = 0 by completing the square.
natulia [17]

Answer:

p=0 or p=-7/15

Step-by-step explanation:

15p2+7p=0

p(15p+7)=0

p=0 or 15p+7=0

4 0
2 years ago
What are the solutions to 3n-1 > 8 or 4n+ 3 ​
Mandarinka [93]

Answer:

n>3

Step-by-step explanation:

Step 1: Add 1 to both sides.

3n−1+1>8+1

3n>9

Step 2: Divide both sides by 3.

3n/3>9/3

n>3

3 0
3 years ago
Read 2 more answers
Help me I have so many of these​
Doss [256]

Answer:

3/4

Step-by-step explanation:

dividing by a fraction is the same as multiplying by its reciprocal.

Therefore,

(1/2) / (2/3) = (1/2) * (2/3) = (3/4)

8 0
3 years ago
To better understand how husbands and wives feel about their finances, Money Magazine conducted a national poll of 1010 married
Xelga [282]

Answer:

  • a. See the table below
  • b. See the table below
  • c. 0.548
  • d. 0.576
  • e. 0.534
  • f) i) 0.201, ii) 0.208

Explanation:

First, order the information provided:

Table: "Who is better at getting deals?"

                                       Who Is Better?

Respondent      I Am        My Spouse     We Are Equal

Husband           278             127                     102

Wife                   290            111                       102

<u>a. Develop a joint probability table and use it to answer the following questions. </u>

The<em> joint probability table</em> shows the same information but as proportions. Hence, you must divide each number of the table by the total number of people in the set of responses.

1. Number of responses: 278 + 127 + 102 + 290 + 111 + 102 = 1,010.

2. Calculate each proportion:

  • 278/1,010 = 0.275
  • 127/1,010 = 0.126
  • 102/1,010 = 0.101
  • 290/1,010 = 0.287
  • 111/1,010 = 0.110
  • 102/1,010 = 0.101

3. Construct the table with those numbers:

<em>Joint probability table</em>:

Respondent      I Am        My Spouse     We Are Equal

Husband           0.275           0.126                 0.101

Wife                   0.287           0.110                  0.101

Look what that table means: it tells that the joint probability of being a husband and responding "I am" is 0.275. And so for every cell: every cell shows the joint probability of a particular gender with a particular response.

Hence, that is why that is the joint probability table.

<u>b. Construct the marginal probabilities for Who Is Better (I Am, My Spouse, We Are Equal). Comment.</u>

The marginal probabilities are calculated for each for each row and each column of the table. They are shown at the margins, that is why they are called marginal probabilities.

For the colum "I am" it is: 0.275 + 0.287 = 0.562

Do the same for the other two colums.

For the row "Husband" it is 0.275 + 0.126 + 0.101 = 0.502. Do the same for the row "Wife".

Table<em> Marginal probabilities</em>:

Respondent      I Am        My Spouse     We Are Equal     Total

Husband           0.275           0.126                 0.101             0.502

Wife                   0.287           0.110                  0.101             0.498

Total                 0.562           0.236                0.202             1.000

Note that when you add the marginal probabilities of the each total, either for the colums or for the rows, you get 1. Which is always true for the marginal probabilities.

<u>c. Given that the respondent is a husband, what is the probability that he feels he is better at getting deals than his wife? </u>

For this you use conditional probability.

You want to determine the probability of the response be " I am" given that the respondent is a "Husband".

Using conditional probability:

  • P ( "I am" / "Husband") = P ("I am" ∩ "Husband) / P("Husband")

  • P ("I am" ∩ "Husband) = 0.275 (from the intersection of the column "I am" and the row "Husband)

  • P("Husband") = 0.502 (from the total of the row "Husband")

  • P ("I am" ∩ "Husband) / P("Husband") = 0.275 / 0.502 = 0.548

<u>d. Given that the respondent is a wife, what is the probability that she feels she is better at getting deals than her husband?</u>

You want to determine the probability of the response being "I am" given that the respondent is a "Wife", for which you use again the formula for conditional probability:

  • P ("I am" / "Wife") = P ("I am" ∩ "Wife") / P ("Wife")

  • P ("I am" / "Wife") = 0.287 / 0.498

  • P ("I am" / "Wife") = 0.576

<u>e. Given a response "My spouse," is better at getting deals, what is the probability that the response came from a husband?</u>

You want to determine: P ("Husband" / "My spouse")

Using the formula of conditional probability:

  • P("Husband" / "My spouse") = P("Husband" ∩ "My spouse")/P("My spouse")

  • P("Husband" / "My spouse") = 0.126/0.236

  • P("Husband" / "My spouse") = 0.534

<u>f. Given a response "We are equal" what is the probability that the response came from a husband? What is the probability that the response came from a wife?</u>

<u>What is the probability that the response came from a husband?</u>

  • P("Husband" / "We are equal") = P("Husband" ∩ "We are equal" / P ("We are equal")

  • P("Husband" / "We are equal") = 0.101 / 0.502 = 0.201

<u>What is the probability that the response came from a wife:</u>

  • P("Wife") / "We are equal") = P("Wife" ∩ "We are equal") / P("We are equal")

  • P("Wife") / "We are equal") = 0.101 / 0.498 = 0.208
6 0
3 years ago
Other questions:
  • You can get 640 calories from eating 8 apples.How many calories can you get from eating 1 apple?
    12·2 answers
  • How long will it take a car at 85 mile to reach one mile?
    8·2 answers
  • A phone company took a survey of its customers and found that 103 of 150 people said that they were pleased with their service t
    10·2 answers
  • At the beginning of the season, MacDonald had to remove
    10·1 answer
  • Which equation can be used to find m, the midpoint of the two numbers?<br><br> (m – 5)(m + 5) = 99
    14·1 answer
  • Correct Answers only please!
    9·1 answer
  • Find the vertex of f(x) = 12 - 41 +3
    12·1 answer
  • 6. A sporting goods store receives an order of 100 baseball caps, of which 22 are green. If 1 of
    10·1 answer
  • Emily spent 40% of her check on rent, 12% on groceries, and 16% on untilities. how much did she have left from her $260 check?
    5·1 answer
  • What is the value of 10×+z=150<br>​
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!