Answer:
x = ±4
Step-by-step explanation:
Step 1: Write out quadratic
2x² - 5 = 27
Step 2: Add 5 to both sides
2x² = 32
Step 3: Divide both sides by 2
x² = 16
Step 4: Take the square root of both sides
x = ±4
∴ x can equal -4 or 4
Answer:
P(X>5) = 0.857
Step-by-step explanation:
Let X
uniform(3.17)

The required probability that it will take Isabella more than 5 minutes to wait for the bus can be computed as:


![P(X > 5) =\dfrac{1}{14} \Big [x \Big ] ^{17}_{5}](https://tex.z-dn.net/?f=P%28X%20%3E%205%29%20%3D%5Cdfrac%7B1%7D%7B14%7D%20%20%5CBig%20%5Bx%20%5CBig%20%5D%20%5E%7B17%7D_%7B5%7D)
![P(X > 5) =\dfrac{1}{14} [17-5]](https://tex.z-dn.net/?f=P%28X%20%3E%205%29%20%3D%5Cdfrac%7B1%7D%7B14%7D%20%5B17-5%5D)

P(X>5) = 0.857
Answer:
n = -3
(second option listed)
Step-by-step explanation:
first, we will distribute the 11 (n-1)
11 (n - 1) + 35 = 3n
11n - 11 + 35 = 3n
Now, we will combine -11 and 35 (because they are like terms)
11n + 24 = 3n
Now, to isolate x as a positive, I will subtract 3n from both sides
11n + 24 = 3n
- 3n - 3n
8n + 24 = 0
Now, I will subtract 24 from both sides to isolate n
8n + 24 = 0
- 24 - 24
8n = -24
Now, we will divide both sides by 8 to find "n"
8n = -24
÷8 ÷8
n = -3
This means that n is equal to -3
(n = -3)
The value of 'k' in the quadratic Equation
having one rational solution is k is 8.
<h3>
What is a Quadratic Equation?</h3>
- Quadratic equations are the polynomial equations of degree 2 in one variable of the type
where a, b, c, ∈ R and a ≠ 0. - The standard form of a quadratic equation is
.
Here, the given equation is 
By comparing the given equation with the standard form of the quadratic equation we get,
a = 4
b = k
c = 4
The given quadratic is having one rational solution, which means 
Therefore,

Therefore, the value of k is 8.
Learn more about the quadratic equation is brainly.com/question/8649555
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