Answer:
The margin of error is given below:
![E=z \times \sqrt{\frac{\hat{p}(1-\hat{p}}{n} }](https://tex.z-dn.net/?f=E%3Dz%20%5Ctimes%20%5Csqrt%7B%5Cfrac%7B%5Chat%7Bp%7D%281-%5Chat%7Bp%7D%7D%7Bn%7D%20%7D)
Where:
![\hat{p}=\frac{26}{80}=0.325](https://tex.z-dn.net/?f=%5Chat%7Bp%7D%3D%5Cfrac%7B26%7D%7B80%7D%3D0.325)
![\therefore E = z \times \sqrt{\frac{0.325(1-0.325}{80} }](https://tex.z-dn.net/?f=%5Ctherefore%20E%20%3D%20z%20%5Ctimes%20%5Csqrt%7B%5Cfrac%7B0.325%281-0.325%7D%7B80%7D%20%7D)
![=z \times 0.0523659](https://tex.z-dn.net/?f=%3Dz%20%5Ctimes%200.0523659)
Therefore, the option E = z*6% is correct as it closest to the given answer
If x is a real number such that x3 + 4x = 0 then x is 0”.Let q: x is a real number such that x3 + 4x = 0 r: x is 0.i To show that statement p is true we assume that q is true and then show that r is true.Therefore let statement q be true.∴ x2 + 4x = 0 x x2 + 4 = 0⇒ x = 0 or x2+ 4 = 0However since x is real it is 0.Thus statement r is true.Therefore the given statement is true.ii To show statement p to be true by contradiction we assume that p is not true.Let x be a real number such that x3 + 4x = 0 and let x is not 0.Therefore x3 + 4x = 0 x x2+ 4 = 0 x = 0 or x2 + 4 = 0 x = 0 orx2 = – 4However x is real. Therefore x = 0 which is a contradiction since we have assumed that x is not 0.Thus the given statement p is true.iii To prove statement p to be true by contrapositive method we assume that r is false and prove that q must be false.Here r is false implies that it is required to consider the negation of statement r.This obtains the following statement.∼r: x is not 0.It can be seen that x2 + 4 will always be positive.x ≠ 0 implies that the product of any positive real number with x is not zero.Let us consider the product of x with x2 + 4.∴ x x2 + 4 ≠ 0⇒ x3 + 4x ≠ 0This shows that statement q is not true.Thus it has been proved that∼r ⇒∼qTherefore the given statement p is true.
Answer:
well if its 212 feet above the ground and cant incline more tjan 35 degrees it would be 46169?
Step-by-step explanation:
Answer:
Angle Q= 78°
Angle P= 51°
Angle S and Angle U= 56°
Step-by-step explanation:
Angles in a triangle should add up to 180° when added
Answer:
Here's what I get.
Step-by-step explanation:
![x = 7\frac{1}{2} \div \frac{3}{4}](https://tex.z-dn.net/?f=x%20%3D%207%5Cfrac%7B1%7D%7B2%7D%20%5Cdiv%20%5Cfrac%7B3%7D%7B4%7D)
1. Convert the mixed number to an improper fraction
![x = \dfrac{15}{2} \div \dfrac{3}{4}](https://tex.z-dn.net/?f=x%20%3D%20%5Cdfrac%7B15%7D%7B2%7D%20%5Cdiv%20%5Cdfrac%7B3%7D%7B4%7D)
2. Invert the proper fraction and change division to multiplication
![x = \dfrac{15}{2} \times \dfrac{4}{3}](https://tex.z-dn.net/?f=x%20%3D%20%5Cdfrac%7B15%7D%7B2%7D%20%5Ctimes%20%5Cdfrac%7B4%7D%7B3%7D)
3. Multiply numerators and denominators
![x = \dfrac{60}{6}](https://tex.z-dn.net/?f=x%20%3D%20%5Cdfrac%7B60%7D%7B6%7D)
4. Divide the numerator and the denominator
![x = 10](https://tex.z-dn.net/?f=x%20%3D%2010)
The quotient is what you get after you invert the denominator in Step 2 and then multiply the two fractions in Step 3.