Answer:
0.114
0.049
Step-by-step explanation:
For the boxes:
Type A - 75% = 0.75
Type B - 20% = 0.2
Type C - 5% = 0.05
For the marbles in each box:
Type A - 2% = 0.02
Type B - 20% = 0.25
Type C - 98% = 0.98
Then you can multiply the chance of drawing each box by the chance of drawing a red marble from that box and add all of those together:
0.75 * 0.02 + 0.2 * 0.25 + 0.05 * 0.98
= 0.015 + 0.05 + 0.049
= 0.114
The specific chance for box Type C is 0.05 * 0.98 = 0.049
Answer: m = 27, b = 6
Step-by-step explanation:
1. Start by combining like terms
6 + 27x = y
2. Rearrange into standard form (y = mx +b)
y = 27x +6
Interpret the values:
m = slope -> 27
b = y-intercept -> 6
Answer:
15 pencils
Step-by-step explanation:
total pencils=225x3=675 pencils
boxes=675÷20=33r15
therefore the answer is 15 pencils
<u>Define x and y:</u>
Let the first number be x and the second number be y.
<u>Setup the equations:</u>
y + 2x = 10 ----------- (1)
2y + x = 11 ----------- (2)
<u>Solve x;</u>
From (1):
y + 2x = 10
y = 10 - 2x ----------- Sub into (2)
2(10 - 2x) + x = 11
20 - 4x + x = 11
20 - 3x = 11
3x = 20 - 11
3x = 9
x = 3 ----------- Sub into (1)
y + 2(3) = 10
y = 10 - 6
y = 4
<u>Find the numbers:</u>
First number = x = 3
Second number = y = 4
Answer: The two numbers are 3 and 4.