Answer:
x = 11
Step-by-step explanation:
Since this is a triangle, all interior angles add up to 180 so:
57 + 73 + 3x + 17 = 180
3x + 147 = 180
3x = 180 - 147
3x = 33
x = 11
Answer: 2/25
Step-by-step explanation: Since we are replacing the marbles, these two events are independent which means that the outcome of the first does not affect the outcome of the second.
First find the probability of selecting a blue marble.
There are 2 favorable outcomes, the blue marbles,
and 10 possible outcomes, all the marbles in the bag.
So the probability of selecting a blue marble is 2/10 or 1/5.
<em>Always reduce when finding probability</em>
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Now we find the probability of selecting a green marble.
There are 4 green marbles and 10 total so the probability of
selecting a green marble is 4/10 or 2/5.
Now we multiply the probabilities.
So we have 1/5 x 2/5 or 2/25.
Answer:
The answer is option 1.
Step-by-step explanation:
In order to find the equation, you have to apply Discriminant Law, D = b² - 4ac. When D < 0, the equation has no real roots (no x-intercept). When D = 0, it has 2 and equal roots (1 x-intercept). When D > 0, it has 2 distinct roots (2 x-intercept).
Option 1,
Option 2,
Option 3,
Option 4,
As you look at the graph, the curve does not meet x-axis so the discriminant must be less than 0.
