If LllM then consecutive interior angles should be supplementary
x-5+2x+5=180
x+2x=180
3x=180
x=60
Answer:x=60
Answer:
2155.13
Step-by-step explanation:
Pi * r(squared)*h
9514 1404 393
Answer:
$3,840
Step-by-step explanation:
The interest formula can be rearranged to find the principal amount.
I = Prt
P = I/(rt) = $768/(.04·5)
P = $3,840
They originally borrowed $3,840.
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.
