Answer:
0.0416
Step-by-step explanation:
Given :
Number of balls :
Pink = 8 ; black = 9
Total number of balls = 8+9 = 17
Choosing with replacement :
Probability = required outcome / Total possible outcomes
Required outcome = number of black balls
Total possible outcomes = total number of balls
P(black) = 9/17
Number of picks = 5
Hence, Probability that all 5 picks are black :
P(all black) = 9/17 * 9/17 * 9/17 * 9/17 * 9/17 = 0.0415879
= 0.0416
Full question attached
Answer:
Greenland offers the lowest unit rate, dollars per pound
Step-by-step explanation:
For McCoy, $4.5 = 5 pounds
Therefore $1 = 5pounds/4.5= 1.11 pounds
1 pound= 1/1.11= $0.9009
For Eat smart
$3=2 pounds
Therefore $1=2pounds/3 = 0.667 pounds
1 pound = 1/0.667= $1.499
For Greenland
$1/5= 1/4 pounds
$0.2=0.25 pounds
$1= 1.25 pounds
Therefore 1 pound= 1/1.25= $0.8
For Mother Nature
$0.95= 1 pound
Therefore Greenland offers the lowest unit rate at $0.8 per pound
The number of orders Michael, Rafael and Amanda served are 16.8, 33.6, and 41.6 servings
respectively.
<h3>Equation</h3>
- Michael = x
- Rafael = 2x
- Amanda = 2x + 8
- Total servings = 92 orders
x + 2x + (2x + 8) = 92
3x + 2x + 8 = 92
5x = 92 - 8
5x = 84
x = 84/5
x = 16.8 servings
Therefore,
Michael = x
= 16.8 servings
Rafael = 2x
= 2(16.8)
= 33.6 servings
Amanda = 2x + 8
= 33.6 + 8
= 41.6 servings
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Answer:
x= 42
Step-by-step explanation:
(2x +1)°= 85° (vert. opp. ∠s)
2x +1= 85
2x= 85 -1 <em> </em><em>(</em><em>bring</em><em> </em><em>constant</em><em> </em><em>to</em><em> </em><em>1</em><em> </em><em>side</em><em>)</em>
2x= 84 <em>(</em><em>simplify</em><em>)</em>
x= 84 ÷2
x= 42
