4. 0.15(with a bar on 15)
6. B,D
7. ...haha...refer to the attachment plzz..:P I don't wanna type too much...
12. 1331
13. 2.56
Answer:
B(0.7, 100)
Step-by-step explanation:
Probability of contracting a certain disease = 0.70
No of individual randomly selected = 100
Contracting the disease is a positive/success in this case, hence
p = 0.7 and since there are 100 selection, the binomial distribution B(0.7, 100)
Hence, the The random variable describing the number of individuals who will contract the disease is B(0.7, 100) distribution.
And Mean = 0.7 x 100 = 70
Answer: the height of the helicopter is 22.33 yards
Step-by-step explanation:
The diagram illustrating the scenario is shown in the attached photo. A triangle, ABC is formed.
H represents the height of the helicopter.
x + y = 52
x = 52 - y
We would apply trigonometric ratio.
tan # = opposite side/adjacent side.
Tan 48 = H/x
H = xtan48
H = tan48×(52 - y)
H = 1.1106(52-y)
Also,
Tan 35 = H/y
H = ytan35
H = 0.7002×y
H = 0.7002y
Since H = H, therefore
1.1106(52-y) = 0.7002y
57.7512 - 1.1106y = 0.7002y
0.7002y + 1.1106y = 57.7512
1.8108y = 57.7512
y = 57.7512/1.8108
y = 31.89
Recall,
H = 0.7002y
H = 0.7002 × 31.89 = 22.33 yards
Answer:
Nancy consumió 12 paquetes de pizzetas y le quedaron 3 paquetes completos.
Step-by-step explanation:
En primer lugar, debemos descomponer el número total de pizzas como una multiplicación de números primos. Al realizar la descomposición factorial tenemos que:

Entonces, los familia de divisores de 288 es el siguiente conjunto:

Si tanto la cantidad de paquetes de pizzetas y la cantidad cocinada de pizzetas son números enteros y positivos, siendo la última mucho mayor. Entonces, la cantidad de pizzetas debe ser un número entero y la cantidad de paquetes gastados menor a la cantidad de paquetes comprados y el número entero más cercano a esa cantidad. Entonces, concluimos que Nancy se gastó 12 paquetes de pizzetas, quedándole 3 paquetes completos.
-----(-7)-------(-6)-----(-5)-----(-4)-----(-3)------(-2)------(-1)------0-----(1)----------
C. point -7 is 1 unit to the left of -6