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
Leokris [45]
2 years ago
14

Jose is applying to college. He receives information on 7 different colleges. He will apply to all of those he likes. He may lik

e none of them, all of them, or any combination of them. How many possibilities are there for the set of colleges that he applies to?
Mathematics
1 answer:
marta [7]2 years ago
6 0

Answer:

128 posibilities

Step-by-step explanation:

We have 7 colleges (A,B,C,...,H) which form a set with seven elements.

What you are asking is the number of elements (or cardinality) of the set that contains all possible sets formed by those 7 elements (or the "power set").

It is known that if n is the number of elements of a given set X, then the cardinality of the power set is 2^n.

Therefore, there are 2^7 or 128 possibilities (or elements) for the set of colleges that he applies to.

You might be interested in
James and his family spend a morning picking peaches. They fill several bags. This line plot shows the weight of each bag.
Mariulka [41]

Answer:

1 1/2

Step-by-step explanation:

The first step is to figure out the lightest and the heaviest bad. The lightest bag is 4 1/4 and the heaviest is 5 3/4. Now to subtract, you can't subtract this as a mixed fraction so turn each fraction into an improper fraction by multiplying the whole number by the denominator then adding the numerator to the product of the whole number multiplied  by the denominator (if you didn't know numerator is the top and the denominator is the bottom. To find out 4 1/4 as an improper fraction follow these steps (4*4+1=17) so 4 1/4=17/4. The process is the same for 5 3/4 (5*4+3=23) so   5 3/4= 23/4. Now to subtract, you subtract the numerator but not the denominator. You subtract because the question asks how many more and that means to subtract 23/4-17/4= 6/4. Last step is to turn this back into a mixed fraction do that by dividing the numerator by the denominator, 6 divided by 4 equals 1.5 and turn the decimal into a fraction 1 is a whole number so you don't  change that but the 5 behind the decimal needs to be changed so now 1.5= 1 5/10 and last step is simplify 1 1/2. Hope this helped :).

6 0
1 year ago
Read 2 more answers
The fraction of defective integrated circuits produced in a photolithography process is being studied. A random sample of 300 ci
Olenka [21]

Answer:

The correct answer is

(0.0128, 0.0532)

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence interval 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

Z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}

For this problem, we have that:

In a random sample of 300 circuits, 10 are defective. This means that n = 300 and \pi = \frac{10}{300} = 0.033

Calculate a 95% two-sided confidence interval on the fraction of defective circuits produced by this particular tool.

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{300}} = 0.033 - 1.96\sqrt{\frac{0.033*0.967}{300}} = 0.0128

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{300}} = 0.033 + 1.96\sqrt{\frac{0.033*0.967}{300}} = 0.0532

The correct answer is

(0.0128, 0.0532)

4 0
1 year ago
Anita earns 60 points every time she shops at a grocery store.She needs a total of 2,580 points to receive a free prize.So far s
Alexandra [31]

Answer: 43 more times

2580÷60=43.

Step-by-step explanation: 43×60 =2580

This proves that 43 times is correct.

6 0
2 years ago
There are 5,280 feet in a mile. What part of a mile, in decimal form, will you drive until you reach the exit.
nalin [4]

Answer:

= 0.1893939

Step-by-step explanation:

We have given that there are 5,280 feet in a mile.

Number of feet in a mile = 5,280

Now we will convert feet into miles.

To convert 1000 feet into mile we will multiply  it by 1/5280

1000 feet = 1000 * 1/5280

1000/5280

= 0.1893939

Therefore the answer is = 0.1893939....

4 0
1 year ago
How would you shade a model to show ten thousandths?
LUCKY_DIMON [66]
Theres not really a way to show that on here unless i draw you a picture...you must know that 10 thousandths is equal to 1 hundredth. if you draw a 100 by 100 centimeter square on graph paper it will consist of a thousand squares since 100 x 100 is 1000, and if you colored in 10 of those squares, it would be 10 thousandths
3 0
2 years ago
Other questions:
  • Please help me answer this ASAP! The two-way table shows the number of ninth and tenth graders who prefer going to sporting even
    15·1 answer
  • In USA Today (Sept. 5, 1996), the results of a survey involving the use of sleepwear while traveling were listed as follows: Mal
    10·2 answers
  • A business purchased for $650,000 in 1994 is sold in 1997 for $850,000. What is the annual rate of return for this investment?
    15·1 answer
  • Tammy earns $40,000 gross annual salary. In Tammy's jurisdiction there is a progressive tax system with rules as follows:
    12·2 answers
  • A caricature artist works 5 days a week, draws 18 portraits per day on
    9·2 answers
  • 4(5x−3)+5x+5 = 118<br><br> solve for x
    6·1 answer
  • Larry has 7 more dimes than nickels, for a total value of $1.45. If n represents the number of nickels, which
    12·1 answer
  • 11. If 4 &lt; x &lt; 14, what is the range for -x - 4?
    13·1 answer
  • Two hot air balloons are flying above a park. One balloon started at a height of 3,000 feet above the ground and is decreasing i
    8·1 answer
  • Lamark goes to a bowling alley to test his belief that rolling a bowling ball slowly will result in knocking down more pins. He
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!