Answer:
Step-by-step explanation:
We would assume a binomial distribution for the number of college students that said they use credit cards because of the rewards program. The formula is expressed as
P(x = r) = nCr × p^r × q^(n - r)
Where
x represent the number of successes.
p represents the probability of success.
q = (1 - r) represents the probability of failure.
n represents the number of trials or sample.
From the information given,
p = 37% = 37/100 = 0.37
q = 1 - p = 1 - 0.37
q = 0.63
n = 10
a) P(x = 2)
Therefore,
P(x = 2) = 10C2 × 0.37^2 × 0.63^(10 - 2)
P(x = 2) = 45 × 0.1369 × 0.02481557803
P(x = 2) = 0.15
b) P(x>2) = 1 - P(x ≤ 2)
P(x ≤ 2) = P(x = 0) + P(x = 1) + P(x = 2)
P(x = 0) = 10C0 × 0.37^0 × 0.63^(10 - 0) = 0.0098
P(x = 1) = 10C1 × 0.37^1 × 0.63^(10 - 1) = 0.058
P(x = 2) = 0.15
P(x ≤ 2) = 0.0098 + 0.058 + 0.15 = 0.22
P(x>2) = 1 - 0.22 = 0.78
✩ Answer:
✧・゚: *✧・゚:*✧・゚: *✧・゚:*✧・゚: *✧・゚:*

✩ Step-by-step explanation:
✧・゚: *✧・゚:*✧・゚: *✧・゚:*✧・゚: *✧・゚:*
✺ Quadratic polynomials can be factored using the transformation
, where
and
are the solutions of the quadratic equation
:
✺ All equations of the form
can be solved using the quadratic formula:
✺ The quadratic formula gives two solutions, one when ± is addition and one when it is subtraction:
✺ Take the square root of
:
✺ Multiply
times
:
✺ Now solve the equation
when ± is plus. Add
to
:
✺ Divide
by
:
-OR-
✺ Now solve the equation
when ± is minus. Subtract
from
:
✺ Divide
by
:
✺ Optional : Factor the original expression using
. Substitute
for
and
for
:
✩ Answer:
✺ <u>Factored Form</u>: 
✺ <u>Exact Form</u>: 
✺ <u>Graph Point Form</u>: 
"ටᆼට"
Answer:
(4,6) is the solution.
Step-by-step explanation:
Given 
Let the solution be
.
The solution to this line means it should satisfy the equation. Therefore, substituting this we get,


Dividing by 4 throughout we get,

Therefore, the solution is: (4,6)
Answer:
Step 1: 12-2a=3a-18
Step 2: 12-5a=-18
Step 3: -5a=-30
Step 4: a=6
I hope this helps!
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