Answer:
The equation representing the left table is
y = 1.5x - 6
The equation representing the right table is
y = -4x + 6.1
The solution to the system of equations is
(2.2, -2.7)
The answer is
<span>−(x−1)(x+9)=0
</span><span>3x^2−6x=0
According to the zero product property:
If a * b = 0, then either a = 0 or b = 0
If </span>−(x−1)(x+9)=0, then either x - 1 = 0 or x + 9 = 0
<span>3x^2−6x=0 need to be written in factor form:
x(3x - 6) = 0
So if </span>x(3x - 6) = 0, ten either x = 0 or 3x - 6 = 0
The question gives the relationship to be
![1in=21mi](https://tex.z-dn.net/?f=1in%3D21mi)
We will interpolate to solve the question.
First Question: 147 mi
![\begin{gathered} \text{If 1 in = 21 mi} \\ x\text{ in = 147 mi} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Ctext%7BIf%201%20in%20%3D%2021%20mi%7D%20%5C%5C%20x%5Ctext%7B%20in%20%3D%20147%20mi%7D%20%5Cend%7Bgathered%7D)
Cross multiplying,
180-116=54
90-53=37
90-54=36
180-(36+37)=180-73=107
x=107
Sorry if it is a wrong answer, but i tried, i think it is right
The probability that the jackpot prize will be won in each of four consecutive draws is (1/60)⁴.
The number of consecutive draws needed will be, n = 233
<h3>What is probability?</h3>
Probability is the likelihood or chance of an event happening or not.
- Probability = number of expected outcomes/number of possible outcomes.
From the given question, the probability of the jackpot being won in any draw is 1/60.
The probability that the jackpot prize will be won in each of four consecutive draws will be:
1/60 * 1/60 * 1/60 * 1/60 = (1/60)⁴
b. The number of consecutive draws that needs to be made for there to be a greater than 98% chance that at least one jackpot prize will have been won is calculated as follows:
There is a 100% - 98% chance that that none has been won = 2% that none has been won.
Also, the probability of the jackpot not being won in a draw is = 1 1/60 = 59/60
The number of consecutive draws needed will be (59/60)ⁿ ≤ 0.02
Solving for n by taking logarithms of both sides:
n = 233
In conclusion, probability measures chances of an event occurring or not.
Learn more about probability at: brainly.com/question/251701
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