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
Veseljchak [2.6K]
3 years ago
7

Find the domain of the graphed function?

Mathematics
2 answers:
MariettaO [177]3 years ago
7 0

<span>Remember, the domain of a function is all of the x values in the (x,y) coordinates. For this, let’s take a few bench mark coordinates. (0,0) (1,2.5)(2,0) (3, -9). Those definitely aren’t all real numbers, so eliminate A. X is not only less than or equal to 0, so eliminate C. </span>

<span>It’s B.</span>

Harlamova29_29 [7]3 years ago
6 0

Answer:

The correct answer to this question is C: x > 0

Step-by-step explanation:

You might be interested in
Scientists say we should sleep 3/8 of a day.How about many hours is this
meriva
9 hours because 8 x 3 = 24 and 3 x 3 = 9
7 0
2 years ago
8qt equals gallon and qt​
joja [24]

Answer:

2 Gallons

Step-by-step explanation:

1 Gallon = 4 quarts

There are 8 quarts, and 8 divided by 4 is 2.

2 Gallons.

5 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
Evaluate.12÷(2+2/3)2 <br> 6 4/9 <br> 4 1/2 <br> 3 2/3 <br> 1 11/16
arlik [135]

Answer:

are you just typing

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Line AC and line DB intersect at point P. Solve for angle BPQ.
taurus [48]

Answer:

Angle BPQ = 64°

Step-by-step explanation:

4x + 12 +2x = 90

6x + 12 = 90

     - 12    -12

6x = 78

x = 13°

BPQ = ((4(13) + 12)°

           (52 + 12)°

            64°

8 0
2 years ago
Other questions:
  • How do you know if a function is increasing or decreasing?
    9·1 answer
  • If 8 cakes cost £4,then how much do 3 cakes cost?
    10·2 answers
  • During a regular half hour tv show, there are 8 minutes of commercials. If each commercial is 0.25 minutes long, how many commer
    7·2 answers
  • the highest recorded temperature was 134 degrees fahrenheit. The lowes is -128.6 degrees fahrenheit. What is the difference betw
    14·1 answer
  • Which equation should be used to solve this problem?
    8·1 answer
  • I need help this is timed i will mark u as brainliest.
    5·2 answers
  • Write (4√81)^5 in exponential form.
    13·1 answer
  • What is the value of x in the equation 13x - 2(8 + 5x) =12 - 11x
    10·2 answers
  • What is the value of x?<br><br> The square root of 2x =4
    7·2 answers
  • Complete the following statement. 4 T = lb.
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!