Answer:
for question 1 the answer is 1.5 cm
for question 2 the answer is 0.75 cm
for question 3 the answer is 2.3 inches
for question 4 the answer is 3.3 inches
for question 5 the answer is 4 cm
for question 6 the answer is 0.75 inches
Answer:
Step-by-step explanation:
1) The given inequality is
![|\sqrt{n} \frac{(\bar R_n-p)}{\sqrt{p(1-p)} } |](https://tex.z-dn.net/?f=%7C%5Csqrt%7Bn%7D%20%5Cfrac%7B%28%5Cbar%20R_n-p%29%7D%7B%5Csqrt%7Bp%281-p%29%7D%20%7D%20%7C%3Cq_%7B%5Calpha%20%2F2%7D%7C%20%5C%5C%5C%5C%20%5Cto%28%5Cfrac%7B%28%5Csqrt%7Bn%7D%20%5Cbar%20R_n-p%29%7D%7B%5Csqrt%7Bp%281-p%29%7D%20%7D%29%3Cq%5E2_%7B%5Calpha%20%2F2%7D)
![\to n( \bar R _n - p)^2](https://tex.z-dn.net/?f=%5Cto%20n%28%20%5Cbar%20R%20_n%20-%20p%29%5E2%3Cp%281-p%29q%5E2_%7B%5Calpha%20%2F2%7D)
![\to n\bar R +np^2-2nR_np](https://tex.z-dn.net/?f=%5Cto%20n%5Cbar%20R%20%2Bnp%5E2-2nR_np%3Cq%5E2_%7B%5Calpha%20%2F2%20p-%20q%5E2_%7B%5Calpha%20%2F2%7Dp%5E2)
Arranging the terms with p² and p, we get
![p^2(n+q^2_{\alpha /2)-p(2n \bar R _n+q^2_{\alpha / 2})+n \bar R ^2 _n](https://tex.z-dn.net/?f=p%5E2%28n%2Bq%5E2_%7B%5Calpha%20%2F2%29-p%282n%20%5Cbar%20R%20_n%2Bq%5E2_%7B%5Calpha%20%2F%202%7D%29%2Bn%20%5Cbar%20R%20%5E2%20_n%20%3C0)
Hence, the inequality is of the form
Ap² + Bp + c < 0
2. A quadratic equation of the form
Ap² + Bp + c < 0 with A > 0 looks like
<u>Check the attached image</u>
The region where the values are negative lies between p₁ and p₂ ...
The p₁ < p < p₂
Answer: -11
Step-by-step explanation:
I'm not sure what your trying to say
Answer:
NONONO the answer is C
Step-by-step explanation:
Multiply -3 by -1 gives 3. 3 plus 15 IS equal to 18!