Answer:
x = 1± 3i
Step-by-step explanation:
x^2-2x+10=0
We can complete the square to solve by subtracting 10 from each side
x^2-2x+10-10=-10
x^2 -2x = -10
We need to add (2/2) ^2 to each side or 1
x^2 -2x+1 = -10 +1
x^2 -2x+1 = -9
The left side factors into (x- (2/2) ) ^2
(x-1) ^2 = -9
Take the square root of each side
sqrt((x-1) ^2 =± sqrt(-9)
x-1 = ±sqrt(-1) sqrt(3)
Remember the sqrt(-1) = i
x-1 = ± 3i
Add 1 to each side
x-1+1 = 1± 3i
x = 1± 3i
Answer:
- P(x < 84) = 0.3085 or approximately 31%
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<em>Hello to you from Brainly team!</em>
<h3>Given</h3>
- Mean grade μ = 86,
- Standard deviation σ = 4,
- Grade limit x = 84.
<h3>To find </h3>
- Probability of that a randomly selected grade is less than 84 or P(x < 84).
<h3>Solution</h3>
Find z-score using relevant equation:
Substitute values and calculate:
Using the z-score table find the corresponding P- value.
- P(x < 84) = 0.30854 or approximately 31%
Answer:
$0.50
Step-by-step explanation:
This is a simple equation. All you need to do is divide 18 by 36.
18/36 = 0.5
Answer:
Step-by-step explanation:
Remark
You could do this by converting the distance but the much more common way is to use kg and m.
Formula
PE = m * g * h
Givens
m = 40000 grams
m = 40000 grams * 1kg/1000 grams = 40 kg
g = 9.81
h = 35 m
Solution
PE = 40 * 9.81 * 35
PE = 13734 Joules
Answer: x = 24
Step-by-step explanation: To solve for <em>x</em> in the given proportion, we use the means-extremes property.
The product of the extremes, (x)(20),
equals the product of the means, (32)(15).
So we have (x)(20) or 20x equals (32)(15) or 480.
So we have 20x = 480.
Dividing both sides by 20, <em>x = 24</em>.
