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Aleksandr-060686 [28]
3 years ago
12

Which of the following represents the correct inequality statements

Mathematics
1 answer:
m_a_m_a [10]3 years ago
3 0

Answer:


Step-by-step explanation:


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A club is choosing 2 members to serve on a committee. The club has nominated 2 women and 4 men. Based on chance alone, what is t
tekilochka [14]

Answer:

53.33% probability that one woman and one man will be chosen to be on the committee

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the members are chosen is not important, so we use the combinations formula to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

What is the probability that one woman and one man will be chosen to be on the committee?

Desired outcomes:

One woman, from a set of 2, and one man, from a set of 4. So

D = C_{2,1}*C_{4,1} = \frac{2!}{1!1!}*\frac{4!}{1!3!} = 8

Total outcomes:

Two members from a set of 2 + 4 = 6. So

T = C_{6,2} = \frac{6!}{2!4!} = 15

Probability:

p = \frac{D}{T} = \frac{8}{15} = 0.5333

53.33% probability that one woman and one man will be chosen to be on the committee

5 0
3 years ago
A zoo has 2 male lions one sixth oh the lions are male lions how many lions are there at the zoo ?
Deffense [45]
I'm guessing there are 12 lions since half of twelve is 6 and there is only 2 male lions. I would put down 12. Hope that helps!
8 0
4 years ago
Read 2 more answers
Please help me with the following questions. Thanks!
Natali5045456 [20]

Answer:

The answer to your questions  are in bold

Step-by-step explanation:

a)  

 C = \left[\begin{array}{ccc}-6&6\\-2&4\\\end{array}\right]

    = -24 + 12

   = -12

b)  -1   7          -4   -1                   -1  - 4        7 - 1               - 5      6

    -2 -6          -8    8      =          -2 - 8       -6 + 8              -10      2

     2 -3           2   -7                  2 + 2        -3 - 7               4       -10

   -1   10         -6     5                 -1 - 6         10 + 5              -7       15

5 0
3 years ago
Consider the expression<br>2⁶/2³<br>what is the value of the expression?​<br>its urgent
Vikentia [17]

The value of the expression is 8. I hope this helps!!!

5 0
3 years ago
The population of Henderson City was 3,381,000 in 1994, and is growing at an annual rate 1.8%
liq [111]
<h2>In the year 2000, population will be 3,762,979 approximately. Population will double by the year 2033.</h2>

Step-by-step explanation:

   Given that the population grows every year at the same rate( 1.8% ), we can model the population similar to a compound Interest problem.

   From 1994, every subsequent year the new population is obtained by multiplying the previous years' population by \frac{100+1.8}{100} = \frac{101.8}{100}.

   So, the population in the year t can be given by P(t)=3,381,000\textrm{x}(\frac{101.8}{100})^{(t-1994)}

   Population in the year 2000 = 3,381,000\textrm{x}(\frac{101.8}{100})^{6}=3,762,979.38

Population in year 2000 = 3,762,979

   Let us assume population doubles by year y.

2\textrm{x}(3,381,000)=(3,381,000)\textrm{x}(\frac{101.8}{100})^{(y-1994)}

log_{10}2=(y-1994)log_{10}(\frac{101.8}{100})

y-1994=\frac{log_{10}2}{log_{10}1.018}=38.8537

y≈2033

∴ By 2033, the population doubles.

4 0
3 years ago
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