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
Kaylis [27]
3 years ago
11

What is the volume of the cube below?

Mathematics
2 answers:
tatyana61 [14]3 years ago
8 0

Answer:

D. 9h

Step-by-step explanation:

Volume of a cube = Length × Width× Height

= 3×3×h

= 9h

jeka57 [31]3 years ago
5 0

Answer:

D. 9h

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Geometry</u>

Volume of a Cuboid Formula: V = a²h

  • <em>a</em> is the sides of the cube
  • <em>h</em> is the height

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify variables</em>

<em>a</em> = 3

<em>h</em> = <em>h</em>

<em />

<u>Step 2: Find Volume</u>

  1. Substitute in variables [Volume of a Cuboid Formula]:                                 V = 3²h
  2. Evaluate exponents:                                                                                         V = 9h
You might be interested in
Leslie is a biologist. She is going to randomly select one animal from her lab to study. There are 5 salamanders, 3 crayfish, an
denpristay [2]
She'll most likely pick a minnow
8 0
3 years ago
Read 2 more answers
X + 3 = -1 Prove x<br> Need help I need to see work. Don’t understand this problem.
raketka [301]

Answer:

x=-4

Step-by-step explanation:

X needs to be a number that when 3 is added to it, becomes -1. So, adding 3 to -4 gives you -1, therefore, x=-4. Hope this helped!

8 0
3 years ago
Hewo everyone trying to help my brother with his work plzz help
Allisa [31]

Answer:

qpwoeirutyslaksjdhfgzmxncbv

Step-by-step explanation:

7 0
3 years ago
"A manufacturer of automobile batteries claims that the average length of life for its grade A battery is 55 months. Suppose the
STALIN [3.7K]

Answer:

\\ P(z>-2) = 0.97725 or P(x>49) is about 97.725% (or being less precise 97.5% using the <em>empirical rule</em>).

Step-by-step explanation:

We solve this question using the following information:

  1. We are dealing here with <em>normally distributed data</em>, that is "<em>the frequency distribution of the life length data is known to be mound-shaped</em>".
  2. The normal distribution is defined by two parameters: the population mean (\\ \mu) and the population standard deviation (\\ \sigma). In this case, we have that \\ \mu = 55 months, and \\ \sigma = 3 months.
  3. To find the probabilities, we have to use the <em>standard normal distribution</em>, which has \\ \mu = 0 and \\ \sigma = 1. The probabilities for this distribution are collected in the <em>standard normal table</em>, available in Statistics books or on the Internet. We can also use statistics programs to find these probabilities.
  4. For most cases, we need to use the <em>cumulative standard normal table, </em>and for this we have to previously "transform" a raw score (x) into a z-score using the next formula: \\ z = \frac{x - \mu}{\sigma} [1]. A z-score tells us the distance from the mean that a raw score is from it in <em>standard deviations units</em>. If this value is <em>negative</em>, the raw score is <em>below</em> the mean. Conversely, a <em>positive</em> value indicates that it is <em>above</em> the mean.
  5. The <em>cumulative standard normal table </em>is made for positive values of z. Since the normal distribution is <em>symmetrical</em> around the mean, we can find the negative values of z using this formula: \\ P(z [2].

Having all this information, we can solve the question.

<h3>The percentage of the manufacturer's grade A batteries that will last more than 49 months</h3>

<em>First Step: Use formula [1] to find the z-score of the raw score x = 49 months</em>.

\\ z = \frac{49 - 55}{3}

\\ z = \frac{-6}{3}

\\ z = -2

This means that the raw score is represented by a z-score of \\ z = -2, which tells us that it is<em> two standard deviations below</em> the population mean.

<em>Second Step: Consult this value in the cumulative standard normal table for z = 2 and apply the formula [2] to find the corresponding probability.</em>

For a z = 2, the probability is 0.97725.  

Then

\\ P(z

\\ P(z2)

\\ P(z2)

But we <em>are not asked</em> for P(z<-2) but for P(z>-2) = P(x>49). This probability is the <em>complement</em> of the previous result, that is

\\ P(z>-2) = 1 - P(z

\\ P(z>-2) = 1 - 0.02275

\\ P(z>-2) = 0.97725

That is, the "<em>percentage of the manufacturer's grade A batteries will last more than 49 months</em>" is

\\ P(z>-2) = 0.97725 or about 97.725%

A graph below shows this result.

Notice that if we had used the <em>68-95-99.7 rule</em> (also known as the <em>empirical rule</em>), that is, in a normal distribution, the interval between <em>one standard deviation below and above the mean</em> contains, approximately, 68% of the observations; the interval between <em>two standard deviations below and above the mean</em> contains, approximately, 95% of the observations; and the interval between <em>three standard deviations</em> below and above the mean contains, approximately, 99.7% of the observations, we could have concluded that 2.5 % of the manufacturer's grade A batteries will last <em>less</em> than 49 months, and, as a result, 1 - 0.025 = 0.975 or 97.5% will last more than 49 months.

We can conclude that with a less precise answer (but faster) because of the <em>symmetry of the normal distribution</em>, that is, 1 - 0.95 = 0.05. At both extremes we have 0.05/2 = 0.025 or 2.5% and we were asked for P(x>49) = P(z>-2) (see the graph below).

6 0
3 years ago
Help!! Will award brainliest! (if correct)
galina1969 [7]

In the half-angle formula for sine and cosine, notice that a plus/minus sign appears in front of each radical (square root). Whether your answer is positive or negative depends on which quadrant the new angle (the half angle) is in

3 0
3 years ago
Other questions:
  • Find the greatest common factor of 12a^3b, 16a^2b^2, and 36ab^3
    10·1 answer
  • Quadrilateral ABCD ​ is inscribed in this circle.<br><br><br><br> What is the measure of angle C?
    11·1 answer
  • What is y=? i have no idea
    12·1 answer
  • 2. Brandon and his friends want to be at the amusement park by 1:30 pm. The bus
    14·1 answer
  • Kyle wants to earn as many points as possible in one turn in a game. Two number cubes whose sides are numbered 1 through 6 are r
    15·1 answer
  • Question 3 of 10
    10·1 answer
  • An object with a mass of 6.0 kg accelerates 4.0 m/s2when an unknown force is applied to it. What is the amount of the force?
    6·1 answer
  • 2x^2(6x^3-3x+1) need help
    6·1 answer
  • If line AB is congruent to line CD then CD is congruent to AB what property
    9·1 answer
  • In football, a gain is when a player moves the ball closer to the goal line; whereas, a loss is when the player loses yardage ma
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!