Answer:
Step-by-step explanation:
Given Parallel lines Converse
a). ∠13 ≅ ∠17 a║c Corresponding angles
b). ∠4 ≅ ∠9 b║e Exterior alternate angles
c). m∠19 + m∠22 = 180° a║b Same side exterior angles
d). ∠8 ≅ ∠19 Vertical angles.
e). ∠10 ≅ ∠23 b║c Alternate angles
f). m∠14 + m∠17 = 180° a║c Same side Interior angles
Answer:
Step-by-step explanation:
From the given information;
The null and alternative hypothesis is:
![\mathbf{H_o: \mu =0}](https://tex.z-dn.net/?f=%5Cmathbf%7BH_o%3A%20%5Cmu%20%3D0%7D)
![\mathbf{H_a: \mu \ne 0}](https://tex.z-dn.net/?f=%5Cmathbf%7BH_a%3A%20%5Cmu%20%5Cne%200%7D)
sample mean x = -2
population mean = 0
SD = 6
sample size n = 25
Using t-test statistics:
![t = \dfrac{x- \mu}{\dfrac{\sigma}{\sqrt{n}}}](https://tex.z-dn.net/?f=t%20%3D%20%5Cdfrac%7Bx-%20%5Cmu%7D%7B%5Cdfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%7D)
![t = \dfrac{-2- 0}{\dfrac{6}{\sqrt{25}}}](https://tex.z-dn.net/?f=t%20%3D%20%5Cdfrac%7B-2-%200%7D%7B%5Cdfrac%7B6%7D%7B%5Csqrt%7B25%7D%7D%7D)
t = -1.667
P-value = P(t ≤ -1.667) + P(t ≥ 1.667)
P-value = 0.1086
Since P-value is greater than
, we fail to reject
.
Answer:
1. False
2. False
3. True
Step-by-step explanation:
Yes. A rectangle can have any amount of width.