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
Ksenya-84 [330]
1 year ago
12

What is the equation of a line through the points (0, 9) and (3, 0)?

Mathematics
2 answers:
erastova [34]1 year ago
7 0

Answer:

  m = StartFraction 9 minus 0 Over 0 minus 3 EndFraction; y = –3x + 9

Step-by-step explanation:

The given points are the y-intercept and the x-intercept, so they can be used directly in the intercept form of the equation of a line.

  x/(x-intercept) +y/(y-intercept) = 1

  x/3 +y/9 = 1

Multiplying by 9 gives ...

  3x +y = 9

This can be rearranged to the slope-intercept form ...

  y = -3x +9

_____

The answer selection shown above is the only one that matches the slope and y-intercept of the line through the given points.

kakasveta [241]1 year ago
4 0

Answer:

because m = StartFraction 9 minus 0 Over 0 minus 3 EndFraction; y = –3x + 9

Step-by-step explanation:

You might be interested in
Is 0.398 a whole number, interger, rational number, irrational number, or a real number
docker41 [41]
It would be a real number
3 0
2 years ago
Read 2 more answers
g Assume that the distribution of time spent on leisure activities by adults living in household with no young children is norma
OLga [1]

Answer:

"<em>The probability that the amount of time spent on leisure activities per day for a randomly selected adult from the population of interest is less than 6 hours per day</em>" is about 0.8749.

Step-by-step explanation:

We have here a <em>random variable</em> that is <em>normally distributed</em>, namely, <em>the</em> <em>time spent on leisure activities by adults living in a household with no young children</em>.

The normal distribution is determined by <em>two parameters</em>: <em>the population mean,</em> \\ \mu, and <em>the population standard deviation,</em> \\ \sigma. In this case, the variable follows a normal distribution with parameters \\ \mu = 4.5 hours per day and \\ \sigma = 1.3 hours per day.

We can solve this question following the next strategy:

  1. Use the <em>cumulative</em> <em>standard normal distribution</em> to find the probability.
  2. Find the <em>z-score</em> for the <em>raw score</em> given in the question, that is, <em>x</em> = 6 hours per day.
  3. With the <em>z-score </em>at hand, we can find this probability using a table with the values for the <em>cumulative standard normal distribution</em>. This table is called the <em>standard normal table</em>, and it is available on the Internet or in any Statistics books. Of course, we can also find these probabilities using statistics software or spreadsheets.

We use the <em>standard normal distribution </em>because we can "transform" any raw score into <em>standardized values</em>, which represent distances from the population mean in standard deviations units, where a <em>positive value</em> indicates that the value is <em>above</em> the mean and a <em>negative value</em> that the value is <em>below</em> it. A <em>standard normal distribution</em> has \\ \mu = 0 and \\ \sigma = 1.

The formula for the <em>z-scores</em> is as follows

\\ z = \frac{x - \mu}{\sigma} [1]

Solving the question

Using all the previous information and using formula [1], we have

<em>x</em> = 6 hours per day (the raw score).

\\ \mu = 4.5 hours per day.

\\ \sigma = 1.3 hours per day.

Then (without using units)

\\ z = \frac{x - \mu}{\sigma}

\\ z = \frac{6 - 4.5}{1.3}

\\ z = \frac{1.5}{1.3}

\\ z = 1.15384 \approx 1.15

We round the value of <em>z</em> to two decimals since most standard normal tables only have two decimals for z.

We can observe that z = 1.15, and it tells us that the value is 1.15 standard deviations units above the mean.

With this value for <em>z</em>, we can consult the <em>cumulative standard normal table</em>, and for this z = 1.15, we have a cumulative probability of 0.8749. That is, this table gives us P(z<1.15).  

We can describe the procedure of finding this probability in the next way: At the left of the table, we have z = 1.1; we can follow the first line on the table until we find 0.05. With these two values, we can determine the probability obtained above, P(z<1.15) = 0.8749.

Notice that the probability for the z-score, P(z<1.15), of the raw score, P(x<6) are practically the same,  \\ P(z. For an exact probability, we have to use a z-score = 1.15384 (without rounding), that is, \\ P(z. However, the probability is approximated since we have to round z = 1.15384 to z = 1.15 because of the use of the table.

Therefore, "<em>the probability that the amount of time spent on leisure activities per day for a randomly selected adult from the population of interest is less than 6 hours per day</em>" is about 0.8749.

We can see this result in the graphs below. First, for P(x<6) in \\ N(4.5, 1.3) (red area), and second, using the standard normal distribution (\\ N(0, 1)), for P(z<1.15), which corresponds with the blue shaded area.

5 0
2 years ago
A person died leaving property worth rs.4000.40. His widow get 0.125 of the property and his son got 0.4 of the remainder. What
belka [17]

Answer:

Widow's Share = Rs 500.05

Son's share = Rs 1400.14

Step-by-step explanation:

Property = 4000.40

Widow get share = 0.125

So, Share of Widow = 0.125 * 4000.40

Widow's Share = Rs 500.05

Remaining Property = 4000.40 - 500.05

Remaining Property = 3500.35

Son's share = 0.4 * 3500.35

Son's share = Rs 1400.14

6 0
1 year ago
The monthly salary of Mr. Sachdev gets increased by 5%, thereby his salary becomes Rs. 15,120 per annum, His earlier monthly sal
Elan Coil [88]
1. x = 15120/12 = 1260 (monthly salary)
2. 1200 x 0.05 = 60 (raise)
Check: 1200+60=1260
6 0
1 year ago
The accompanying data are lengths (inches) of bears. Find the percentile corresponding to 65.5 in.
Jlenok [28]

Complete question is missing, so i have attached it.

Answer:

Percentile is 74th percentile

Step-by-step explanation:

All the lengths given are;

Bear Lengths 36.5 37.5 39.5 40.5 41.5 42.5 43.0 46.0 46.5 46.5 48.5 48.5 48.5 49.5 51.5 52.5 53.0 53.0 54.5 56.8 57.5 58.5 58.5 58.5 59.0 60.5 60.5 61.0 61.0 61.5 62.0 62.5 63.5 63.5 63.5 64.0 64.0 64.5 64.5 65.5 66.5 67.0 67.5 69.0 69.5 70.5 72.0 72.5 72.5 72.5 72.5 73.0 76.0 77.5

The number of lengths (inches) of bears given are 54 in number.

We are looking for the percentile corresponding to 65.5 in.

Looking at the lengths given, since they are already arranged from smallest to highest, let's locate the position of 65.5 in.

The position of 65.5 in is the 40th among 54 lengths given.

If the percentile is P, then;

P% x 54 = 40

P = (40 × 100)/54

P ≈ 74

3 0
1 year ago
Other questions:
  • Nathaniel is using the quadratic formula to solve 0 = x2 + 5x - 6. His steps are shown below.
    8·2 answers
  • A circular rug has a radius of 3 ft. What is the circumference of the rug? Use 3.14 for mc014-1.jpg.
    14·2 answers
  • If you vertically stretch the exponential function f(x)=2^x by a factor of 5 what is the equation of the new function
    14·2 answers
  • Given: KLMN is a trapezoid, KL=MN,
    10·1 answer
  • A machine used to fill cereal boxes dispenses, on the average, μ ounces per box. The manufacturer wants the actual ounces dispen
    14·1 answer
  • 4.5m is ____ % of 90 cm; 90 cm is ____ % of 4.5m
    10·1 answer
  • Exactly how many planes contain points J, K, and N?<br> 0<br> 1<br> 2<br> 3
    10·2 answers
  • Jessie has a deck of 52 regular playing cards and a bag of six marbles. In the bag, there are two blue marbles, three green marb
    15·2 answers
  • Lewis was driving at 90 km per hour when he sneezed.
    6·1 answer
  • the amount of gasoline at a gas station changes from 58,432.4 gallon to 56,475.2 gallon from 2:00 pm to 4:00 pm. what rational n
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!