The ladder and the wall form a right triangle.
The length is the hypotenuse = 15.
The base = 2*(15/5) = 2*3 = 6
Use pythagorean theorem to find other side of triangle:
Answer:
$236 in 3 years
Step-by-step explanation:
Answer:
here is the ratio 1 : 1.25 (sharks: dolphins)
Step-by-step explanation:
Answer:
Step-by-step explanation:
Hello!
<u>Sample 1 </u>(New Jersey)
n₁= 142
x₁= 9
^ρ₁=9/142=0.063
<u>Sample 2</u> (Texas)
n₂= 268
x₂= 5
^ρ₂= 5/268 = 0.0186 ≅ 0.019
Since what you need to test is if there is a significant difference between the proportions of drug-resistant cases in both states, the hypothesis are:
H₀: ρ₁-ρ₂=0
H₁: ρ₁-ρ₂≠0
α:0.20
The equation of the statistic is:
Z=<u> (^ρ₁-^ρ₂)-(^ρ₁-^ρ₂) </u>
√(^ρ(1-ρ)(1/n₁+1/n₂))
Where ^ρ=<u> x₁+x₂ </u>
n₁+n₂
The calculated statistic is Z=2.2804
and the p-value= 0.0226
Since the p-value is less than the level of signification, you can reject the null hypothesis. This means that there is enough evidence to conclude that there is a significant difference between the proportion of drug-resistant tuberculosis in both states.
(πrθ)/180 = arc length [r=radius, θ=central angle, π≈3.14] ⇒
πrθ = 180*arc length
θ = (180*arc length)/πr
θ = (180 * 50)/(3.14 * 36) ≈ 79.6°
