Answer:
D. Increasing both force and mass equally
Step-by-step explanation:
I had a question just like this and I answered it correctly, so I hope this helps.
Answer: It is not enough evidence to support the researcher's claim.
Step-by-step explanation:
Since we have given that
n = 500
![\hat{p}=0.85](https://tex.z-dn.net/?f=%5Chat%7Bp%7D%3D0.85)
So, the hypothesis are as follows:
![H_0:\hat{p}](https://tex.z-dn.net/?f=H_0%3A%5Chat%7Bp%7D%3C0.87%5C%5C%5C%5CH_1%3A%5Chat%7Bp%7D%5Cgeq%200.87)
So, the z value would be
![z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}\\\\z=\dfrac{0.85-0.87}{\sqrt{\dfrac{0.87\times 0.13}{500}}}\\\\z=\dfrac{-0.02}{0.015}\\\\z=-1.33](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B%5Chat%7Bp%7D-p%7D%7B%5Csqrt%7B%5Cdfrac%7Bp%281-p%29%7D%7Bn%7D%7D%7D%5C%5C%5C%5Cz%3D%5Cdfrac%7B0.85-0.87%7D%7B%5Csqrt%7B%5Cdfrac%7B0.87%5Ctimes%200.13%7D%7B500%7D%7D%7D%5C%5C%5C%5Cz%3D%5Cdfrac%7B-0.02%7D%7B0.015%7D%5C%5C%5C%5Cz%3D-1.33)
At α = 0.05
z= -1.64
So, 1.64<-1.33
So, we accept the null hypothesis.
Hence, it is not enough evidence to support the researcher's claim.
They equal because 1/3 is probs 30% idk I'm not working on these
Answer:
C. ![x=20^{\circ}](https://tex.z-dn.net/?f=x%3D20%5E%7B%5Ccirc%7D)
Step-by-step explanation:
Angle 6 and angle with measure 45° are vertical angles (opposite angles whan two lines intersect). By Vertical Angles Theorem, vertical angles are congruent, so
![m\angle 6=45^{\circ}](https://tex.z-dn.net/?f=m%5Cangle%206%3D45%5E%7B%5Ccirc%7D)
Angle 6 and angle with measure
are the same side interior angles when two parallel lines are cut by transversal. The same side interior angles add up to 180°, then