Yes, you can claim that the null hypothesis. But you must pay attention the p-value. If the p-value is higher than the significant value the null hypothesis can't be rejected.
The answer is y= x+3 because there’s no slope but there is a y-intercept
Answer:
A cardioid
Step-by-step explanation:
A cardioid is a curve in the shape of a heart traced by a point on the circumference of a circle as it rolls around a fixed circle of the same radius.
The equation of vertical cardioid is
± ![a\sin \theta](https://tex.z-dn.net/?f=a%5Csin%20%5Ctheta)
Given the polar curve is
4 ![\sin \theta](https://tex.z-dn.net/?f=%5Csin%20%5Ctheta)
This is an equation of vertical cardioid.
So, it represents a cardioid.
I think the answer is 0.52
![a_n=48+3(2n-1)](https://tex.z-dn.net/?f=a_n%3D48%2B3%282n-1%29)
The formula of the sum of the arithmetic sequence:
![S_n=\dfrac{a_1+a__n}{2}\cdot n](https://tex.z-dn.net/?f=S_n%3D%5Cdfrac%7Ba_1%2Ba__n%7D%7B2%7D%5Ccdot%20n)
calculate:
![a_1=48+3(2\cdot1-1)=48+3=51](https://tex.z-dn.net/?f=a_1%3D48%2B3%282%5Ccdot1-1%29%3D48%2B3%3D51)
substitute
![S_n=\dfrac{51+48+3(2n-1)}{2}\cdot n=\dfrac{99+6n-3}{2}\cdot n=\dfrac{96+6n}{2}\cdot n=3n^2+48n](https://tex.z-dn.net/?f=S_n%3D%5Cdfrac%7B51%2B48%2B3%282n-1%29%7D%7B2%7D%5Ccdot%20n%3D%5Cdfrac%7B99%2B6n-3%7D%7B2%7D%5Ccdot%20n%3D%5Cdfrac%7B96%2B6n%7D%7B2%7D%5Ccdot%20n%3D3n%5E2%2B48n)
Your answer is: