Answer:
<h3>
x = 6</h3><h3>
</h3>
Step-by-step explanation:
use Pythagorean theorem:
a² + b² = c²
where a = 2
b = x/2
c = √13
<u>plugin values into the formula:</u>
2² + (x/2)² = (√13)²
4² + <u>x² </u>= 13
4
16 + x² = 13 (4)
x² = 52 - 16
x = √36
x = 6
Answer:
2310
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
Given :
Mean, μ = 4
Standard deviation, s = 0.8
Sample size, n = 30
The distribution is independent.
Z = (x - μ) / s /sqrt(n)
Probability that downtime period is between 1 and 5
P(1≤ x ≤ 5) :
[(x - μ) / (s /sqrt(n))] ≤ Z ≤ [(x - μ) / (s /sqrt(n))]
[(1 - 4) / (0.8 /sqrt(30))] ≤ Z ≤ [(5 - 4) / (0.8 /sqrt(30)]
[-3 / 0.1460593] ≤ Z ≤] 1 / 0.1460593]
P(-20.539602 ≤ Z ≤ 6.8465342)
P(Z ≤ 6.8465342) - P(Z ≤ - 20.5396)
P(Z ≤ 6.8465342) = 1 (Z probability calculator)
P(Z ≤ - 20.5396) = 0 (Z probability calculator)
1 - 0 = 1
The correct answer for the question that is being presented above is this one: "C.(162- 81pi/2) cm2." Figure WXYZ is equivalent to a rectangle with 2 quarter circles removed. The area of the shaded portion of the polygon or the rectangle is this: <span>C.(162- 81pi/2) cm2</span>
Answer:
Step-by-step explanation:
Given point (0, 1) and the slope m = 2
<u>Use point- slope form to find the equation of the line:</u>
- y - y₁ = m(x - x₁)
- y - 1 = 2(x - 0)
- y - 1 = 2x
- y = 2x + 1