Answer:
1/30
Step-by-step explanation:
6 white marbles
5 red marbles
+ 19 marbles of other colors
-----------------------------------------------
30 marbles in total
First drawing:
p(white) = (number of white marbles)/(total number of marbles)
p(white) = 6/30 = 1/5
Second drawing:
Since the first marble is replaced, there are still 30 marbles in the bag.
p(red) = (number of red marbles)/(total number of marbles)
p(red) = 5/30 = 1/6
The two drawings are independent events, so the overall probability of the two events is the product of the individual probabilities.
p(white then red) = p(white) × p(red)
p(white then red) = 1/5 × 1/6
p(white then red) = 1/30
4x - 6 = 3x + 8
<u> -3x+6 -3x+6</u>
x = 14
x = 14
Answer:
x=78; x=56
Step-by-step explanation:
For the first question we know that the angle is 180 degrees, that means the two angles inside of it have to add up to 180:
102+x=180
Subtract 102 from both sides:
x=78
For the second question we know that the angle is 90 degrees, meaning that the two angles on the inside have to add up to 90:
34+x=90
Subtract 34 from both sides:
x=56
Answer:
3 <em>or 3/1</em>
Step-by-step explanation
the equation for finding the slope when given two coordinate pairs is (y₂ - y₁)/(x₂ - x₁), aka change in <em>y</em> over change in <em>x</em>.
pick one of your coordinate pairs to be y₂ and x₂. it doesn't matter which coordinate pair you choose. the remaining coordinate pair will be your y₁ and x₁.
<em>for this example, i'll use the coordinate pair (7, 2) as my y₂ and x₂ and (1, 4) as my y₁ and x₁.</em>
first, substitute the x-value and y-value from the first coordinate pair.
(y₂ - y₁)/(x₂ - x₁) ⇒ (7 - y₁)/(2 - x₂)
then substitute the y-value and x-value from the remaining coordinate pair.
(7 - y₁)/(2 - x₂) ⇒ (7 - 4)/(2 - 1)
subtract 7 - 4.
(7 - 4)/(2 - 1) ⇒ (3)/(2 - 1)
subtract 2 - 1.
(3)/(2 - 1) ⇒ (3)/(1) <em>or </em>3/1
simplify.
3/1 ⇒ 3
i hope this helps! have a great day <3
