A. 70°
Supplementary angles always = 180°
Where 180 - 110 = 70
110+ 70 = 180
-2x+14 is the same as 14 - 2x
Let's say you started off with $14. If you want to buy a soda worth $2, then you have 14-2 = 12 dollars left. If you buy two sodas, then you spend 2*2 = 4 dollars with 14-4 = 10 dollars left.
In general, buying x sodas will cost you 2*x dollars and you have 14 - 2x dollars left over. The x is simply a placeholder for a whole number. For example, if x = 3, then...
14 - 2x = 14 - 2*3 = 14 - 6 = 8
meaning buying 3 sodas cost you $6 and you have $8 left over.
If y is the amount left over, then we can say y = 14 - 2x which is equivalent to y = -2x+14
note: graphing this equation will go through the two points (0,14) and (7,0) as shown in the image below. A graph is handy to help see various points on the line. Each point represents the amount of sodas you can buy (x) and the amount left over in your pocket (y). Keep in mind that neither x nor y can be negative, so it only makes sense to restrict the graph.
Answer:
The correct option is (B) 69.7%.
Step-by-step explanation:
The table provided represents the probabilities of a positive response to two government programs from citizens in eight cities.
The probabilities mentioned in the table are conditional probabilities, i.e. the probability of a positive response for program 1, given that the individual is from city <em>x</em>.
The probability a positive response for program 1 from an individual from Houston is 69.7%.
Then the conditional probability of a positive response for program 1, given that the individual is from Houston is 69.7%.
Thus, the correct option is (B).
2.25 for 6 would be 0.375 per one of them
1.30 for 4 would be 0.325 per one of them
0.97 for 2 would be 0.485 per one of them
Answer:
El área del cuadrado es de 3 centímetros cuadrados.
Step-by-step explanation:
Dado que se desea pintar un cuadrado inscrito en una circunferencia de radio R=3cm como se muestra en la figura, para calcular el área del cuadrado se debe realizar el siguiente cálculo:
Radio = diámetro / 2
3 = X/2
X = 6
Hipotenusa del triángulo interno: 6 cm
Aplicando teorema pitagórico: lado al cuadrado mas lado al cuadrado es igual a hipotenusa al cuadrado.
L^2 + L^2 = 6
2L^2 = 6
L^2 = 6/2
L = √ 3
L = 1.732
Área de un cuadrado = L x L = L^2 = 3
Por lo tanto, el área del cuadrado es de 3 centímetros cuadrados.