The radius is always half the diameter. So, your answer is A.
Answer:
The equation is
n = PRT/100
The value of p
p = $1250
Step-by-step explanation:
Simple interest= n
Rate of interest = r
Number of years = t
Then principal amount= p
This p can be said to be the constant of the equation because it's value never changes
n = $225
r = 4.5%
t = 4 years
The interest varies jointly with the rate, the time and the principal amount.
The equation for the relationship
n > prt
But r is in percentage
n = PRT/100
For the value of p
p =(225*100)/(4.5 *4)
p= 22500/18
p= 1250
p = $1250
Answer:
x=7, angle a= 45 degrees, angle b= 65 degrees
Step-by-step explanation:
All the angles in a triangle must add up to 180. Subtract 70 from 180, add both angle a and angle b to get 16x-2=110, solve for x, x=7. Substitute x out for 7 in the equations then simplify to get angle a=45 and angle b=65
Answer: ![(0.7335,\ 0.7865)](https://tex.z-dn.net/?f=%280.7335%2C%5C%200.7865%29)
Step-by-step explanation:
Given : A random sample of 1000 registered voters in Flagstaff found 760 registered voters who support immigration reform.
sample size : n= 1000
sample proportion: ![\hat{p}=\dfrac{760}{1000}=0.76](https://tex.z-dn.net/?f=%5Chat%7Bp%7D%3D%5Cdfrac%7B760%7D%7B1000%7D%3D0.76)
Critical value for 95% confidence interval = ![z_{\alpha/2}=1.96](https://tex.z-dn.net/?f=z_%7B%5Calpha%2F2%7D%3D1.96)
Confidence interval :
![\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}\\\\=0.76\pm(1.96)\sqrt{\dfrac{0.76(1-0.76)}{1000}}\\\\=0.76\pm0.0264708866493\\\\\approx0.76\pm0.0265\\\\=(0.76-0.0265,\ 0.76+0.0265)=(0.7335,\ 0.7865)](https://tex.z-dn.net/?f=%5Chat%7Bp%7D%5Cpm%20z_%7B%5Calpha%2F2%7D%5Csqrt%7B%5Cdfrac%7B%5Chat%7Bp%7D%281-%5Chat%7Bp%7D%29%7D%7Bn%7D%7D%5C%5C%5C%5C%3D0.76%5Cpm%281.96%29%5Csqrt%7B%5Cdfrac%7B0.76%281-0.76%29%7D%7B1000%7D%7D%5C%5C%5C%5C%3D0.76%5Cpm0.0264708866493%5C%5C%5C%5C%5Capprox0.76%5Cpm0.0265%5C%5C%5C%5C%3D%280.76-0.0265%2C%5C%200.76%2B0.0265%29%3D%280.7335%2C%5C%200.7865%29)
Hence, the 95% confidence interval for the true percent of registered voters in Flagstaff who support immigration reform: ![(0.7335,\ 0.7865)](https://tex.z-dn.net/?f=%280.7335%2C%5C%200.7865%29)
Answer:Parallelogram, rhombus ,square
Step-by-step explanation: