Answer:
Step-by-step explanation:
This equation is solved if one of the following 2 conditions is met
1.
- (x² + 1) / 10 is between 1 and 2
and
- 10 / (x² + 1) is between 0 and 1
<u>Solve this:</u>
- 1 < (x² + 1) / 10 < 2
- 10 < x² + 1 < 20
- 9 < x² < 19
- 3 < |x| < √19
- x ∈ (- √19, - 3) ∪ (3, √19)
- 0 < 10 / (x² + 1) < 1
- x² + 1 > 10
- x² > 9
- |x| > 3
Solution for this case is x ∈ (- √19, - 3) ∪ (3, √19)
2.
- (x² + 1) / 10 is between 0 and 1
and
- 10 / (x² + 1) is between 1 and 2
<u>Solve this:</u>
- 0 < (x² + 1) / 10 < 1
- 0 < x² + 1 < 10
- - 1 < x² < 9
- 0 ≤ |x| < 3
- x ∈ ( - 3, 3)
- 1 < 10 / (x² + 1) < 2
- x² + 1 < 10 ⇒ x² < 9 ⇒ |x| < 3
- x² + 1 > 5 ⇒ x² > 5 ⇒ |x| > √5
Solution for this case is x ∈ (- 3, - √5) ∪ (√5, 3)
Y-8=13
y=13+8
y=21
Hope this helps!
Answer:
2.25
Step-by-step explanation:
The total frequency is:
20 + 12 + 6 + 2 = 40
Calculate the probability of each score:
P(X=3) = 20/40 = 0.50
P(X=2) = 12/40 = 0.30
P(X=1) = 6/40 = 0.15
P(X=0) = 2/40 = 0.05
So the expected value is:
E = (3)(0.50) + (2)(0.30) + (1)(0.15) + (0)(0.05)
E = 2.25
Answer:
y=-9x+9
Step-by-step explanation:
There are only two like terms in the equation which I have underlined.
y= <u>3x - 12x</u> +9
To simplify it, you combine the like terms and get your equation in standard form.
