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
Zanzabum
3 years ago
7

A cuboid with a volume of 924 cm^3 has dimensions

Mathematics
1 answer:
eduard3 years ago
4 0

Answer:

21

Step-by-step explanation:

Volume of a cuboid is given by

V = l*w*h

924 = 4 (x+1) (x+11)

FOIL

924 = 4(x^2 +11x+x+11)

924 = 4(x^2+12x+11)

Divide each side by 4

231 = (x^2+12x+11)

Subtract 231 from each side

0 = x^2 +12x +11-231

0 = x^2 +12x - 220

Factor

0 = (x+22) (x-10)

Using the zero product property

x+22 =0  x-10 =0

x=-22  x=10

We cannot have a negative length

x=10

The side lengths are 4, 10+1, 10+11

4,11,21

The longest is 21

You might be interested in
What is the mode and range of 12,11,14,16,14,12,16,14
Nina [5.8K]
I think the mode is 9.875
6 0
4 years ago
Read 2 more answers
136/50<br> as a percentage?
aleksandrvk [35]

Answer: 272%

Step-by-step explanation: To write 136/50 as a percent have to remember that 1 equal 100% and that what you need to do is just to multiply the number by 100 and add at the end symbol % .

136/50 * 100 = 2.72 * 100 = 272%

And finally we have:

136/50 as a percent equals 272%

4 0
3 years ago
Read 2 more answers
Multiple-choice questions on Advanced Placement exams have five options: A, B, C, D, and E. A random sample of the correct choic
Semenov [28]

Answer:

Option <em>B</em> is not the most common correct choice.

Step-by-step explanation:

The multiple-choice questions on Advanced Placement exams have five options: A, B, C, D, and E.

The probability that any of these five option is the correct answer is:

p=\frac{1}{5}=0.20

A random sample of 400 multiple-choice questions on Advanced Placement exam are selected.

The results showed that 90 of the 400 questions having B as the answer.

To test the hypothesis that option B is more likely the correct answer for most question, the hypothesis can be defined as:

<em>H₀</em>: All the options are equally probable, i.e. <em>p</em> = 0.20.

<em>Hₐ</em>: Option B is more likely the correct option, i.e. <em>p</em> > 0.20.

Compute the sample proportion as follows:

\hat p=\frac{90}{400}=0.225

The test statistic is:

z=\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n}}}=\frac{0.225-0.20}{\sqrt{\frac{0.20(1-0.20)}{400}}}= 1.25

The test statistic is 1.25.

Decision rule:

If the <em>p</em>-value of the test is less than the significance level then the null hypothesis will be rejected and vice-versa.

Compute the <em>p</em>-value as follows:

p-value=P(Z>1.25)\\=1-P(Z

*Use a <em>z</em>-table.

The <em>p</em>-value is 0.1057.

The <em>p</em>-value of the test is quite large. Thus, the null hypothesis was failed to rejected.

Hence, it can be concluded that option <em>B</em> is not  the most common correct choice.

7 0
3 years ago
Which of the following is a example of parallel lines
Alja [10]
= is parallel lines because they are in line with each other. Hope I helped :D
8 0
3 years ago
1. Find the distance between each pair of points. Round your answer to
zlopas [31]

Step-by-step explanation:

\sqrt{(3 - ( - 4))^{2}  + ( - 7 - 6)^{2} }  \\  =  \sqrt{(3 + 4)^{2}  +  {( - 13)}^{2} }  \\  =   \sqrt{ 49 + 169}  \\   = \sqrt{218} \\  = 14.7648

7 0
3 years ago
Other questions:
  • What is the equation of a line containing the points (-3,2) and (-2,-1)
    15·2 answers
  • you earn $3 an hour as a waitress. After working 3 hours, you earn $12, $5, and $7 in tips. How much money did you earn in total
    13·1 answer
  • the length of a rectangle is 3 1/4 inches. The width is 4/5 of the length. What is the perimeter of the rectangle
    12·2 answers
  • The annount of time (in minutes) that it takes to put out a fire varies inversely
    7·1 answer
  • Write each expression in exponential form and find its value 2 x 2 x 2 2 ​
    8·1 answer
  • Factor the trinomial completely.<br><br> a^4 -2a^2 - 35
    15·1 answer
  • PLEASE HELP!! will give brainliest if correct! Also plz no copied answers!
    15·1 answer
  • Please help me look at the photo
    12·1 answer
  • 14+y = 3y+2, Find y with a step-by-step explanation.
    5·1 answer
  • The most common triathlon distance for bicycle route is 40 kilometers.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!