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
Basile [38]
2 years ago
15

Mia is taking art and calculus courses on Mondays. She is late for the art class with probability 0.5 and late for the calculus

class with probability 0.4. Suppose the two events are independent. What is the probability that Mia is on time to exactly one of the classes (write it up to first decimal place)?
Mathematics
1 answer:
padilas [110]2 years ago
7 0

Answer:

0.5

Step-by-step explanation:

Let the probability of being late for Art class be a = 0.5 and the probability of being on time for Art class be b = 1 - a = 0.5

Let the probability of being late for Calculus class be c = 0.4 and the probability of being on time for Calculus class be d = 1 - a = 0.6

Probability of being on time in exactly one of the classes = Probability of being ((on time for Art and late for Calculus) or (on time for Calculus and late for art))

= (b × c) + (d × a) = (0.5 × 0.4) + (0.6 × 0.5) = 0.2 + 0.3 = 0.5

You might be interested in
1 kilogram
vlabodo [156]

Answer:

True

Step-by-step explanation:

For every kilogram, there are 1000 grams

3 0
2 years ago
Assume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with a mean of
jarptica [38.1K]

Answer:

The "probability that a given score is less than negative 0.84" is  \\ P(z.

Step-by-step explanation:

From the question, we have:

  • The random variable is <em>normally distributed</em> according to a <em>standard normal distribution</em>, that is, a normal distribution with \\ \mu = 0 and \\ \sigma = 1.
  • We are provided with a <em>z-score</em> of -0.84 or \\ z = -0.84.

Preliminaries

A z-score is a standardized value, i.e., one that we can obtain using the next formula:

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

Where

  • <em>x</em> is the <em>raw value</em> coming from a normal distribution that we want to standardize.
  • And we already know that \\ \mu and \\ \sigma are the mean and the standard deviation, respectively, of the <em>normal distribution</em>.

A <em>z-score</em> represents the <em>distance</em> from \\ \mu in <em>standard deviations</em> units. When the value for z is <em>negative</em>, it "tells us" that the raw score is <em>below</em> \\ \mu. Conversely, when the z-score is <em>positive</em>, the standardized raw score, <em>x</em>, is <em>above</em> the mean, \\ \mu.

Solving the question

We already know that \\ z = -0.84 or that the standardized value for a raw score, <em>x</em>, is <em>below</em> \\ \mu in <em>0.84 standard deviations</em>.

The values for probabilities of the <em>standard normal distribution</em> are tabulated in the <em>standard normal table, </em>which is available in Statistics books or on the Internet and is generally in <em>cumulative probabilities</em> from <em>negative infinity</em>, - \\ \infty, to the z-score of interest.

Well, to solve the question, we need to consult the <em>standard normal table </em>for \\ z = -0.84. For this:

  • Find the <em>cumulative standard normal table.</em>
  • In the first column of the table, use -0.8 as an entry.
  • Then, using the first row of the table, find -0.04 (which determines the second decimal place for the z-score.)
  • The intersection of these two numbers "gives us" the cumulative probability for z or \\ P(z.

Therefore, we obtain \\ P(z for this z-score, or a slightly more than 20% (20.045%) for the "probability that a given score is less than negative 0.84".

This represent the area under the <em>standard normal distribution</em>, \\ N(0,1), at the <em>left</em> of <em>z = -0.84</em>.

To "draw a sketch of the region", we need to draw a normal distribution <em>(symmetrical bell-shaped distribution)</em>, with mean that equals 0 at the middle of the distribution, \\ \mu = 0, and a standard deviation that equals 1, \\ \sigma = 1.

Then, divide the abscissas axis (horizontal axis) into <em>equal parts</em> of <em>one standard deviation</em> from the mean to the left (negative z-scores), and from the mean to the right (positive z-scores).  

Find the place where z = -0.84 (i.e, below the mean and near to negative one standard deviation, \\ -\sigma, from it). All the area to the left of this value must be shaded because it represents \\ P(z and that is it.

The below graph shows the shaded area (in blue) for \\ P(z for \\ N(0,1).

7 0
3 years ago
2,300+-2,500+3,300+-2,600+6,250
Lorico [155]
1 Simplify

<span><span>2300−2500+3300−2600+6250</span>
2 Simplify

<span><span>6,750

I hope this helps. 

Have a awesome day. :)

</span><span>
</span></span><span>

</span></span>
5 0
3 years ago
Read 2 more answers
Solve the following system of equations:<br><br> x + 3y = −4<br> x + 5y = −6<br><br> pls and thx
Agata [3.3K]

Answer:

x = -1  y = -1

Step-by-step explanation:

x + 3y = −4

x + 5y = −6

Multiply the first equation by -1

-x - 3y = 4

The add to the second equation to eliminate x

-x - 3y = 4

x + 5y = −6

--------------------

 2y = -2

Divide by 2

2y/2 = -2/2

y = -1

Now solve for x

x+3y = -4

x +3(-1) = -4

x -3 = -4

Add 3 to each side

x-3+3 = -4+3

x = -1

4 0
3 years ago
Read 2 more answers
Simplify 2x + 1 - x +2.​
Pavlova-9 [17]

Answer:

the answer is x + 3

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • The annual precipitation amounts in a certain mountain range are normally distributed with a mean of 91 inches, and a standard d
    9·1 answer
  • The price of Stock A at 9 A.M. was $14.04. Since then, the price has been increasing at the rate of $0.09 each hour. At noon the
    13·1 answer
  • 3.38 repeating as a fraction
    8·2 answers
  • The surface area of the box of cereal displayed is 2x^2+48x+88. What is the value of x if the box of cereal has a total surface
    5·1 answer
  • What’s 3 5/8 as a fraction
    6·1 answer
  • (2x+5y-z)+(-6x-4y+7z)
    10·1 answer
  • Rectangle floor measures 10 1/8 by 13 3/4 feet. If Mary buys 150 ft.² of carpet, will she have enough carpet to cover the floor?
    14·1 answer
  • 51 is 33 1/3 of what number?
    11·1 answer
  • Factor completely. 25+70x+49x^2
    10·1 answer
  • One of the spokes on the bicycle wheel broke and DJ wanted to fix it. What is the measurement of the bicycle spoke(Radius) if th
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!