Answer:
d = 2![\sqrt{3}](https://tex.z-dn.net/?f=%5Csqrt%7B3%7D)
Step-by-step explanation:
![d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d= \sqrt{(3-9)^2+(6-2)^2} \\d= \sqrt{(-6)^2+(4)^2} \\d= \sqrt{(36)+(16)} \\d= \sqrt{52} \\d=2 \sqrt{13}](https://tex.z-dn.net/?f=d%3D%20%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D%5C%5Cd%3D%20%5Csqrt%7B%283-9%29%5E2%2B%286-2%29%5E2%7D%20%5C%5Cd%3D%20%5Csqrt%7B%28-6%29%5E2%2B%284%29%5E2%7D%20%5C%5Cd%3D%20%5Csqrt%7B%2836%29%2B%2816%29%7D%20%5C%5Cd%3D%20%5Csqrt%7B52%7D%20%5C%5Cd%3D2%20%5Csqrt%7B13%7D)
Well there are 6 units down and 11 units across so 6•11=66. there are 14 red units. 66-14=52. the area of yellow is 52.
Given:
Length 14 cm
Width 7 cm
Heigth 1.66 cm
Lateral area = 2lh + 2wh
LA = 2(14cm)(1.66cm) + 2(7cm)(1.66cm)
LA = 46.48 cm² + 23.24 cm²
LA = 69.72 cm²
Surface area = 2(wl + hl + hw)
SA = 2(7cm*14cm) + 2(1.66cm*14cm) + 2(1.66cm*7cm)
SA = 196 cm² + 46.48 cm² + 23.24 cm²
SA = 265.72 cm²
Answer:
For a 9000 people, the approximate number of people for whom the medicine will be effect is 8432 people
Step-by-step explanation:
Here we have probability is given by
Probability =
Where:
Number of success = 3982 and
Number of trials = 4250. therefore;
![Probability \, of \, Success = \frac{3982}{4250} = \frac{1991}{2125}](https://tex.z-dn.net/?f=Probability%20%5C%2C%20of%20%5C%2C%20Success%20%3D%20%5Cfrac%7B3982%7D%7B4250%7D%20%3D%20%5Cfrac%7B1991%7D%7B2125%7D)
Therefore, when the medicine is used on 9000 people, the approximate number of people for whom the medicine will be effect is given by;
![\frac{1991}{2125} = \frac{x}{9000} \rightarrow x \times2125 = 1991 \times 9000\\x = \frac{1991 \times 9000}{2125} = \frac{143352}{17} = 8432\frac{8}{17}](https://tex.z-dn.net/?f=%5Cfrac%7B1991%7D%7B2125%7D%20%3D%20%5Cfrac%7Bx%7D%7B9000%7D%20%5Crightarrow%20x%20%5Ctimes2125%20%3D%201991%20%5Ctimes%209000%5C%5Cx%20%3D%20%5Cfrac%7B1991%20%5Ctimes%209000%7D%7B2125%7D%20%3D%20%5Cfrac%7B143352%7D%7B17%7D%20%3D%208432%5Cfrac%7B8%7D%7B17%7D)
or ≈ 8432 people.