Answer:
50%.
Step-by-step explanation:
Dado que hay 12 canicas en una bolsa y 6 de ellas son verdes, para determinar la probabilidad de que si se elige una canica al azar, esta sea verde, se debe realizar el siguiente cálculo:
6 / 12 = X
0.5 = X
0.5 = 50/100
50/100 = 50%
Así, hay un 50% de probabilidades de que, eligiendo una canica al azar dentro de la bolsa, la canica elegida sea verde.
It's an arithmetic sequence. The first term is 1 and the common difference is 4.
Answer:
1/50
Step-by-step explanation:
A scale model of an object is 5 inches tall. The actual object is 250 feet tall.
The scale factor of the model = 5/250 = 1/50
<h3><u>The value of the larger number, x, is 57.</u></h3><h3><u>The value of the smaller number, y, is equal to 42.</u></h3>
x - y = 15
2x + 8 = 3y - 4
We can quickly get a temporary value for x by altering the original equation.
x - y = 15
<em><u>Add y to both sides.</u></em>
x = 15 + y
Now that we have a value of x, we can find the exact value of y.
2(15 + y) + 8 = 3y - 4
<em><u>Distributive property.</u></em>
30 + 2y + 8 = 3y - 4
<em><u>Combine like terms.</u></em>
38 + 2y = 3y - 4
<em><u>Subtract 2y from both sides.</u></em>
38 = y - 4
<em><u>Add 4 to both sides.</u></em>
y = 42
Now that we know the exact value of y, we can plug it back into the original equation.
x - 42 = 15
<em><u>Add 42 to both sides.</u></em>
x = 57
Answer:
<em>12^2 + x^2 = 13^2</em>
Step-by-step explanation:
The student's error was that he didn't use the Pythagorean Theorem correctly
According to the Pythagorean Theorem, <em>a^2 + b^2 = c^2</em>, where c represents the hypotenuse
However, the student replaced <em>c</em> with <em>x</em>, which isn't the hypotenuse
The hypotenuse is 13, so <em>c</em> should be 13, not <em>x</em>