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loris [4]
3 years ago
13

In a class of 6060 ​students, 4040 are​ democrats, 1010 are business​ majors, and 33 of the business majors are democrats. if on

e student is randomly selected from the​ class, find the probability of choosing a democrat or a business major.
Mathematics
1 answer:
iVinArrow [24]3 years ago
3 0
100(whole class is 100%) / 6060(number of students total) = any random student chance
0.0165
A) for democrats multiply chance of any random student with number of democrats
0.0165×4040=66.66666...
B) for business majors, multiply that chance with number of business​ majors
0.0165×1010=16.66666...
C) for both business major and democrat multiply chance with numbers of students who are both
0.0165×33=0.544...
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Read 2 more answers
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Anna007 [38]

1)

n         1          2         3           4         5         6

f(n)    1033    932     831      730     629     528

First term (a₁):  <u>1033 </u>          Common difference (d): <u>-101 </u>

Explicit rule:  a_{n} = 1134 - 101n    Recursive rule: a_{n} = a_{n-1} - 101

a_{n} = a_{1} + d(n - 1)

a_{n} = 1033 - 101(n - 1)

a_{n} = 1033 - 101n + 101

a_{n} = 1134 - 101n

***********************************************************************************

2)

n         1          2         3           4         5         6

f(n)   -39      -29       -19        -9          9        19

First term (a₁):  <u> -39  </u>          Common difference (d): <u> +10  </u>

Explicit rule:  a_{n} = -49 + 10n    Recursive rule: a_{n} = a_{n-1} + 10

a_{n} = a_{1} + d(n - 1)

a_{n} = -39 + 10(n - 1)

a_{n} = -39 + 10n - 10

a_{n} = -49 + 10n

***********************************************************************************

3)

n         1          2         3           4         5         6

f(n)   3.75      2.5     1.25        0      -1.25     -2.5

First term (a₁):  <u> 3.75  </u>          Common difference (d): <u> -1.25  </u>

Explicit rule:  a_{n} = 5 - 1.25n    Recursive rule: a_{n} = a_{n-1} - 1.25

a_{n} = a_{1} + d(n - 1)

a_{n} = 3.75 - 1.25(n - 1)

a_{n} = 3.75 - 1.25n + 1.25

a_{n} = 5 - 1.25n


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3 years ago
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