) how many ways are there to divide a group of 10 kids into two groups of 5 to play soccer?

GarryVolchara [31]

Answer:

Try the gauth math app it's very useful to use

5 0

2 years ago

A gallup poll of 1236 adults showed that 12% of the respondents believe that it is bad luck to walk under a ladder. consider the

solmaris [256]

The probabillity can be found by using binomial probability formular considering that the event is discrete in nature and there are two possiple outcomes.

7 0

3 years ago

Although cities encourage carpooling to reduce traffic congestion, most vehicles carry only one person. For example, 64% of vehi

ira [324]

Answer:

a) 0.7291 is the probability that more than half out of 10 vehicles carry just 1 person.

b) 0.996 is the probability that more than half of the vehicles carry just one person.

Step-by-step explanation:

We are given the following information:

A) Binomial distribution

We treat vehicle on road with one passenger as a success.

P(success) = 64% = 0.64

Then the number of vehicles follows a binomial distribution, where

$P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}$

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 10

We have to evaluate:

$P(x \geq 6) = P(x =6) +...+ P(x = 10) \\= \binom{10}{6}(0.64)^6(1-0.64)^4 +...+ \binom{10}{10}(0.64)^{10}(1-0.79)^0\\=0.7291$

0.7291 is the probability that more than half out of 10 vehicles carry just 1 person.

B) By normal approximation

Sample size, n = 92

p = 0.64

$\mu = np = 92(0.64) = 58.88$

$\sigma = \sqrt{np(1-p)} = \sqrt{92(0.64)(1-0.64)} = 4.60$

We have to evaluate the probability that more than 47 cars carry just one person.

$P(x \geq 47)$

After continuity correction, we will evaluate

$P( x \geq 46.5) = P( z > \displaystyle\frac{46.5 - 58.88}{4.60}) = P(z > -2.6913)$

$= 1 - P(z \leq -2.6913)$

Calculation the value from standard normal z table, we have,

$P(x > 46.5) = 1 - 0.004 = 0.996 = 99.6\%$

0.996 is the probability that more than half out of 92 vehicles carry just one person.

5 0

3 years ago

Classify the following into monomials, binomial and trinomials.

Degger [83]

A monomial is an expression containing a single term.
A binomial is an expression having two terms.
A trinomial is an expression having three terms.

Here -6 is a monomial having a single term -6.
-5 + x is a binomial containing two terms -5 and x.
32x - y is a binomial having two terms 32x and -y.
6x² + 5x - 3 is a trinomial having three terms 6x², 5x and -3.
z² +2 is a binomial having two terms z² and 2.

Answers

monomial
binomial
binomial
trinomial
binomial

Hope you could understand.

If you have any query, feel free to ask.

5 0

2 years ago

Which value of x makes this sentence true?

mart [117]

Answer:

9/22

Step-by-step explanation:

1/2 + x=10/11

Subtract 1/2 from each side

1/2-1/2 + x=10/11-1/2

x = 10/11 -1/2

Getting a common denominator of 22

x = 10/11*2/2 -1/2 *11/11

x = 20/22 - 11/22

x = 9/22

8 0

3 years ago

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