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
matrenka [14]
3 years ago
10

At a blind taste competition a contestant is offered 3 cups of each of the 3 samples of tea in a random arrangement of 9 marked

cups. If each contestant tastes 4 different cups of tea, what is the probability that a contestant does not taste all of the samples?A. 1/12B. 5/14C. 4/9D. 1/2E. 2/3
Mathematics
1 answer:
solmaris [256]3 years ago
4 0

Answer:

\frac{5}{14}

Step-by-step explanation:

Data provided in the question:

Number of cups of tea offered = 3

Number of cups marked = 9

Number of cups tasted by each = 4

Now,

The probability that a contestant does not taste all of the samples

= contestant tastes only 2 samples of tea

= \frac{C_3^2\timesC_6^4}{C_9^4}

C₆⁴ = number of ways to choose 4 cups out of 6 cups of two samples

C₃² = number of ways to choose which 2 samples will be tasted

[ as 2 samples × 3 cups each = 6 cups ]

C₉⁴ = Number of ways to choose 4 cups out of 9

= \frac{5}{14}

Hence,

the correct answer is option (B) 5/14

You might be interested in
Which of the following interpretations for the given expression is true
iris [78.8K]
I don't know it's so difficult
6 0
3 years ago
Suppose a car going 65 mph is traveling north parallel to a train going 50 mph. Once the front of the car is as far north as the
scoray [572]

Answer:

0.75 Miles

Step-by-step explanation:

To find the answer we have to find the difference in the distance the train and car travelled

65/60 is 1.083333 which is miles per minute then multiplied by 3 is 3.25 mile gone in 3 minutes

For the train it is 50/60 which is 0.833333 and the times 3 is 2.5 miles in three minutes

3.25 miles minus 2.5 miles is 0.75 miles so that is how long the train is

6 0
2 years ago
Assume that hybridization experiments are conducted with peas having the property that for​ offspring, there is a 0.75 probabili
ivolga24 [154]

Answer:

(a) The mean and the standard deviation for the numbers of peas with green pods in the groups of 36 is 27 and 2.6 respectively.

(b) The significantly low values are those which are less than or equal to 21.8. And on the other hand, the significantly higher values are those which are greater than or equal to 32.2.

(c) The result of 15 peas with green pods is a result that is significantly​ low value.

Step-by-step explanation:

We are given that hybridization experiments are conducted with peas having the property that for​ offspring, there is a 0.75 probability that a pea has green pods.

Assume that the offspring peas are randomly selected in groups of 36.

The above situation can be represented as a binomial distribution;

where, n = sample of offspring peas = 36

            p = probability that a pea has green pods = 0.75

(a) The mean of the binomial distribution is given by the product of sample size (n) and the probability (p), that is;

                    Mean, \mu  =  n \times p

                                    =  36 \times 0.75 = 27 peas

So, the mean number of peas with green pods in the groups of 36 is 27.

Similarly, the standard deviation of the binomial distribution is given by the formula;

            Standard deviation, \sigma  =  \sqrt{n \times p \times (1-p)}

                                                  =  \sqrt{36 \times 0.75 \times (1-0.75)}

                                                  =  \sqrt{6.75}  =  2.6 peas

So, the standard deviation for the numbers of peas with green pods in the groups of 36 is 2.6.

             

(b) Now, the range rule of thumb states that the usual range of values lies within the 2 standard deviations of the mean, that means;

          \mu - 2 \sigma  =  27 - (2 \times 2.6)

                       =  27 - 5.2 = 21.8

          \mu + 2 \sigma  =  27 + (2 \times 2.6)

                       =  27 + 5.2 = 32.2

This means that the significantly low values are those which are less than or equal to 21.8.

And on the other hand, the significantly higher values are those which are greater than or equal to 32.2.

(c) The result of 15 peas with green pods is a result that is a significantly​ low value because the value of 15 is less than 21.8 which is represented as a significantly low value.

5 0
3 years ago
It is recommended that an adult drink 64 fluid ounces of water every day.Josey has already consumed 700 millitiers of water. How
Rudiy27
In the given question it is already mentioned that an adult drinks 54 fluid ounces of water daily. Also it is mentioned that Josey has already drank 700 milliliters of water.
Now fopr solving this problem we have to fist convert 64 ounces to liter and then convert 700 milliliter to liter and then only can we get the answer to the question.
We already know
1 ounce = 0.29 liter
64 ounce = 64 * 0.29 liter
               = 18.56 liter
So 18.56 liter is the daily recommendation for an adult to drink water
Again
1 milliliter = 0.001 liter
700 ml = 0.001 * 700 liter
           = 0.7 liter
So Josey has already drank 0.7 liters of water
Amount of water Josey still needs to drink = (18.56 - 0.7) liter
                                                                   = 17.86 liter
7 0
3 years ago
Read 2 more answers
4.5 meters equals how many centimeters
icang [17]
450 centimeters because there are 100 centimeters in a meter. 
4 0
3 years ago
Read 2 more answers
Other questions:
  • Decompose 49 x 5 to<br> make it easier below<br> Explain
    7·2 answers
  • 3x + 17 + 5x = 7x + 10
    10·2 answers
  • What is the measure of <br> A. 58<br> B. 10<br> C. 34<br> D. 24
    9·1 answer
  • A swimming pool is open for 7 1/2 hours a day. The pool keeps one life guard on duty at a time, and each life guard shift is 1 1
    14·1 answer
  • What is the distance between a line that has endpoints at (1,5) and (1,-5)?
    12·1 answer
  • Which of the following statements about the graph is true?
    6·1 answer
  • Find the volume of the cone shown below.
    6·2 answers
  • A rectangular park is 110 meters long and 60 meters wide.
    8·1 answer
  • Brian is buying some tickets for his family to go to a concert. The normal ticket price for one person is £120. There are discou
    6·1 answer
  • Will mark the brainliest hurry!!!!!
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!