answer.
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
rewona [7]
2 years ago
12

Mr. Woo wants to ship a fishing rod to his son that is 42 inches long. He has a box that measures 10 inches by 10 inches by 40 i

nches. Will the fishing rod fit in the box?
Mathematics
1 answer:
chubhunter [2.5K]2 years ago
8 0

Answer:

The 42 inches long fishing rod will fit in the box.

Step-by-step explanation:

The diagonal of a cuboidal box is the largest measurement inside the box.

Now, the dimensions of the box are 10 inches by 10 inches by 40 inches.

Therefore, the diagonal length of the box is \sqrt{10^{2} + 10^{2} + 40^{2}} = 42.42 inches which is greater than 42 inches.

Hence, the 42 inches long fishing rod will fit in the box. (Answer)

You might be interested in
Jonathan has a bag that has 2 red marbles and 3 blue marbles inside of it if you were to pick one marble from the bag without lo
Vika [28.1K]
There are 2 red marbles and 3 blue marbles, with a total of 5 marbles in the bag.

When Jonathan chooses a marble, we are saying that he is choosing the marble randomly.

Let's make a fraction. We want to know the chance of picking one of the 2 red marbles among all 5 marbles.

Divide 2 by 5

2/5

That's already a simplified fraction. If you want to convert this into decimal and into percentage, you would get

2/5
= 0.4
= 40%

Those are all acceptable answers.
Have an awesome day! :)
8 0
2 years ago
A wedding website states that the average cost of a wedding is $25,809. One concerned bride hopes that the average is less than
lapo4ka [179]

Answer:

1)

Null hypothesis            H₀ : μ = 25,809

Alternative hypothesis H₁ : μ < 25,809

2) Test Statistic = -1.44

3) Conclusion:

The result is significant, there is sufficient evidence to support the bride’s hope at the 0.10 level of significance.

Step-by-step explanation:

Given the data in the question;

Sample mean x" = 24,638

sample size n = 46

standard deviation σ = 5531

level of significance ∝ = 0.10

NULL and ALTERNATIVE HYPOTHESIS

Null hypothesis            H₀ : μ = 25,809

Alternative hypothesis H₁ : μ < 25,809

TEST STATISTICS

Z = (x"-μ) / σ√n

we substitute

Z = (24,638 - 25,809) / (5531/√46)

Z = -1171 / 815.5

Z = -1.44

Test Statistic = -1.44

Now, from normal z-table;

P-value = P( Z < -1.44 ) = 0.0749

P-value = 0.0749

Since P-value ( 0.0749 ) is less than level of significance ( 0.10 ), we reject H₀.

Conclusion:

The result is significant, there is sufficient evidence to support the bride’s hope at the 0.10 level of significance.

6 0
2 years ago
An experienced carpenter can frame a house twice as fast as an apprentice. Working together, it takes the carpenters 2 days. How
AleksAgata [21]

Answer:

<em>6 days</em>

<em></em>

Step-by-step explanation:

Let the time taken by Carpenter working alone = C days

Then time taken by apprentice alone = Twice as that of taken by Carpenter = 2C days

Time taken working together = 2 days

Work done in one day working together = \frac{1}{2}

Work done in one day by Carpenter working alone = \frac{1}{C}

Work done in one day by apprentice working alone = \frac{1}{2C}

Work done in one day by Carpenter working alone + Work done in one day by Carpenter working alone =  \frac{1}{C}+\frac{1}{2C} = Work done in one day working together = \frac{1}{2}

\dfrac{1}{C}+\dfrac{1}{2C}=\dfrac{1}{2}\\\Rightarrow \dfrac{2+1}{2C}=\dfrac{1}{2}\\\Rightarrow C = 3\ days

Time taken by Carpenter alone to complete the work = 3 days

Time taken by Apprentice alone to complete the work = 3 \times 2= <em>6 days</em>

4 0
2 years ago
What is the unit price of 8 mugs for $38.32
jarptica [38.1K]

Answer:

4.79$ for each mug

Step-by-step explanation:

38.32/8 = 4.79 and to double-check do 4.79*8

8 0
2 years ago
Read 2 more answers
figure PQRS is a parallelogram. What are the measures of angles P and S? ∠P = 20°; ∠S = 160° ∠P = 40°; ∠S = 140° ∠P = 140°; ∠S =
viktelen [127]
I believe it is C (p=140 s=40)
4 0
2 years ago
Read 2 more answers
Other questions:
  • A sequence is defined recursively by the formula f(n + 1) = –2f(n). The first term of the sequence is –1.5. What is the next ter
    11·2 answers
  • How many solutions does the equation −3y + 3y + 4 = 4 have?
    14·2 answers
  • Analyze the diagram to complete the statements. The m∠MXN is the m∠YZX. The m∠LZX is the m∠ZYX + m∠YXZ. The m∠MYL is 180° − m∠ZY
    5·2 answers
  • Peter buys 1000 shares of Sunshine Corporation stock in 2008 at $2 a share. In 2010 the stock is doing great, Peter decides to s
    13·1 answer
  • Conservationists have despaired over destruction of tropical rain forest by logging, clearing, and burning." These words begin a
    8·1 answer
  • Celeste can spend no more than $30 to buy quinoa and rice. She will pay $5 per pound for quinoa and $2 per pound for rice. Which
    8·2 answers
  • you have 5814 meters of rope that you need to cut into 27 meters sections. How many 27 meter section of rope will you be able to
    10·1 answer
  • He repartido mi colección de canicas entre mis tres amigos. A thales le he dado 1/5 del total, a arquimedes un 1/3 del resto y p
    8·1 answer
  • Question 1)
    11·2 answers
  • Maya can run 18 miles in 3 hours, and ahe can bike 18 miles in 2 hours.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!