Simpe interest rate = PRT/100
— ( principal x rate x time ) / 100
$3,000 is the principal
3 years is the time
2% is the rate
so, PRT/100
(3,000 x 3 x 2) / 100
= $180
Answer : $180
The probability that exactly six out of ten carry a smartphone when travelling is; <u><em>P(6) = 0.146</em></u>
The missing part of the question is;
The probability distribution of x is the binomial distribution with n = 10 and p = 0.75.
Calculate P(6)
- This is a binomial <em>probability distribution</em> problem that has a general formula as; P(x) = ⁿCₓ × pˣ × q⁽ⁿ ⁻ ˣ⁾
Where;
p is probability of success
q is probability of failure
n is number of experiments
In this question;
n = 10
p = 75% = 0.75
q = 1 - p
q = 1 - 0.75
q = 0.25
Since six passengers are randomly selected, then applying the formula earlier quoted, we have;
P(6) = ¹⁰C₆ × 0.75⁶ × 0.25⁽¹⁰ ⁻ ⁶⁾
P(6) = 0.146
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The solution to the algebraic equation, −0.4x − 3.1 = 5.9, is:<u> x = -22.5</u>
Given the algebraic equation, −0.4x−3.1 = 5.9, to solve for x, follow the steps below:
−0.4x − 3.1 = 5.9
−0.4x − 3.1 + 3.1 = 5.9 + 3.1
-0.4x = 9
- Divide both sides by -0.4
-0.4x/-0.4 = 9/-0.4
x = -22.5
Therefore, the solution to the algebraic equation, −0.4x − 3.1 = 5.9, is:<u> x = -22.5</u>
<u></u>
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M < 7 / 12
(1) < 7 / 12
(1) < 0.583333333 (false statement)
(-1) < 7 / 12
(-1) < 0.583333333 (true statement)
(-9) < 7 / 12
(-9) < 0.583333333 (true statement)
(-5) < 7 / 12
(-5) < 0.583333333 (true statement)
B C D maybe?
Answer:
y= 84
Step-by-step explanation:
y = kx
where k is the constant
k = y/x = 91/13 = 7
the value of Y when x= 12
y = kx =7(12)
y =84