The bag contains 3 red marbles, 4 yellow and 5 blue.
In total we have 12 marbles.
The probability of selecting one blue one will be 5 out of 12.
We will select for a second time, after replacing the first marble. This second case, the probability will be again of 5 out of 12.
Both events are independent because we are replacing the first selected marble. The probability of two independent events to occur is the product of the individual probability of each event. Then, the probability of selecting a blue marble in the 2 events is:
Answer:
A, C, and E
Step-by-step explanation:
calculator
Answer:
17/25
Step-by-step explanation:
Convert the percentage to a fraction by placing the expression over 100
. Percentage means 'out of 100
'.
68/100
Factor 4 out of 68.
4(17)/100
Cancel the common factors.
Factor 4 out of 100
4 x 17/4 x 25
Cancel the common factor.
17/25
We get the gradient of the lines which is perpendicular to the given lines as 1/3, -8, 0 and -3/2.
We are given some equation of the lines and we need to find the gradient of the lines which are perpendicular to them.
For this, we will first find the slope of the lines and then reciprocal it and change their signs to obtain the gradient of the perpendicular lines.
a) y = -3 x + 11
Here we can see that the slope of the line is:
m = -3
So, the gradient of the perpendicular line will be:
m' = 1 / 3
b) - x / 4 + 2 y = 0
2 y = x / 4
y = x / 8
slope = m = 1 / 8
Gradient = m' = - 8
c) y = - 3
Slope = m = 0
Gradient = m' = 0
d) y = 2(x - 1) / 3
y = 2/3 x - 1/3
slope = m = 2/3
Gradient = m' = -3/2.
Therefore, we get the gradient of the lines which is perpendicular to the given lines as 1/3, -8, 0 and -3/2.
Learn more about gradients here:
brainly.com/question/21727173
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32black total/64total square =.5 chance of lading on black square