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
Usimov [2.4K]
3 years ago
12

What is the value of the expression (9 1/3)^3?

Mathematics
1 answer:
cestrela7 [59]3 years ago
5 0

Answer:

rounded to the nearest hundredth the value is 813.04

Step-by-step explanation:

You might be interested in
According to government data, 20% of employed women have never been married. If 10 employed women are selected at random, what i
Ierofanga [76]

Answer:

a) P(X=2) = (10C2) (0.2)^2 (1-0.2)^{10-2}= 0.302

b) P(X\leq 2) = P(X=0) + P(X=1) +P(X=2)

P(X=0) = (10C0) (0.2)^0 (1-0.2)^{10-0}= 0.107

P(X=1) = (10C1) (0.2)^1 (1-0.2)^{10-1}= 0.268

P(X=2) = (10C2) (0.2)^2 (1-0.2)^{10-2}= 0.302

And replacing we got:

P(X\leq 2) = 0.107+0.268+0.302=0.678

c) For this case we want this probability:

P(X\geq 8) = P(X=8) + P(X=9) +P(X=10)

But for this case the probability of success is p =1-0.2= 0.8

We can find the individual probabilities and we got:

P(X=8) = (10C8) (0.8)^8 (1-0.8)^{10-8} =0.302

P(X=9) = (10C9) (0.8)^9 (1-0.8)^{10-9} =0.268

P(X=10) = (10C10) (0.8)^{10} (1-0.8)^{10-10} =0.107

And replacing we got:

P(X \geq 8) = 0.677

And replacing we got:

P(X\geq 8)=0.0000779

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".  

Let X the random variable of interest, on this case we now that:  

X \sim Bin (n=10 ,p=0.2)

The probability mass function for the Binomial distribution is given as:  

P(X)=(nCx)(p)^x (1-p)^{n-x}  

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}  

Solution to the problem

Let X the random variable "number of women that have never been married" , on this case we now that the distribution of the random variable is:  

X \sim Binom(n=10, p=0.2)  

Part a

We want to find this probability:

P(X=2)

And using the probability mass function we got:

P(X=2) = (10C2) (0.2)^2 (1-0.2)^{10-2}= 0.302

Part b

For this case we want this probability:

P(X\leq 2) = P(X=0) + P(X=1) +P(X=2)

We can find the individual probabilities and we got:

P(X=0) = (10C0) (0.2)^0 (1-0.2)^{10-0}= 0.107

P(X=1) = (10C1) (0.2)^1 (1-0.2)^{10-1}= 0.268

P(X=2) = (10C2) (0.2)^2 (1-0.2)^{10-2}= 0.302

And replacing we got:

P(X\leq 2) = 0.107+0.268+0.302=0.678

Part c

For this case we want this probability:

P(X\geq 8) = P(X=8) + P(X=9) +P(X=10)

But for this case the probability of success is p =1-0.2= 0.8

We can find the individual probabilities and we got:

P(X=8) = (10C8) (0.8)^8 (1-0.8)^{10-8} =0.302

P(X=9) = (10C9) (0.8)^9 (1-0.8)^{10-9} =0.268

P(X=10) = (10C10) (0.8)^{10} (1-0.8)^{10-10} =0.107

And replacing we got:

P(X \geq 8) = 0.677

3 0
3 years ago
Jill Barkely obtained a 25-year, $460,000 mortgage loan from University Savings and Loan Association with 6% interest. The month
Dmitrij [34]
<span>If you have a $460,000 loan at 6% interest for 25 years; payments should be $2,963.79, not $2962.40. At $2,963.79, $2,300 would be interest, $663.79 would be principal. After that first payment your balance would be $459,336.21.
Hope I helped!!</span>
5 0
3 years ago
I really need help!!
11111nata11111 [884]
283.80x0.33% =93.654
3 0
3 years ago
Read 2 more answers
What’s the area and perimeter for this problem?
notka56 [123]

Answer:

the area of the triangle is 41

the perimiter of the triangle is 33.25

Step-by-step explanation:

4 0
2 years ago
46 + (-2k) a. for k =3 b.for k = 23 k = -2
mamaluj [8]

9514 1404 393

Answer:

  a.  40

  b.  0

  c.  50

Step-by-step explanation:

a) 46 + (-2k) for k = 3 is ...

  46 + (-2(3)) = 46 -6 = 40

__

b) 46 + (-2k) for k = 23 is ...

  46 + (-2(23)) = 46 -46 = 0

__

c) 46 + (-2k) for k = -2 is ...

  46 + (-2(-2)) = 46 +4 = 50

3 0
2 years ago
Other questions:
  • 6x+x^2 standard form​
    8·1 answer
  • Leticia charges $8 per hour to babysit. She babysat Friday night for 4 hours, and then she babysat again on Saturday. She earned
    11·1 answer
  • Convert 3400 milliliters to liters
    6·2 answers
  • A box has a square base with an area of 16 sq.in. Its is 14 inches tall. what is the volume?
    12·1 answer
  • Which of the following would best be solved using factoring by grouping?
    13·2 answers
  • during a promotion bags of sweets contain 30% extra free. There are 65 sweets in a bag during the promotion. How many sweets are
    8·1 answer
  • Which property of multiplication is shown?
    13·1 answer
  • The sum of two-fifths of a number and<br> three-tenths of the number.
    15·2 answers
  • Is 100% considered a rational or whole number?
    7·2 answers
  • What is 13/25 in decimal form​
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!