A is the correct answer because tangents do not have any chords
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.
I got $31.25 it might be wrong i used a calculator.
Answer:
x = 9 is the x-intercept.
Step-by-step explanation:
We have given the coordinates (-6,10) and (12,-2).
We have to find the x-intercept of the line containing these points.
First we find the slope m by using these points.
We know that m = (y₂-y₁)/(x₂-x₁)
m = -2/3
The general form of the equation of line is :
y = mx + c
Where c is the y intercept.
Using the first coordinate to find c .
10 = (-2/3)(-6) +c
c = 6
So, the required equation is :
y = (-2/3)x+6
We have to find the x-intercept.
For this we put y=0
(-2/3)x+6 = 0
2/3 x = 6
x = 6(3/2)
x = 9 is the x-intercept.
