Divide each side by 3. ----- n=M/3 .
1 cup = 8 fluid
So 144 fluid = 144/8 = 16 cups
So 16 cups candle moles she can fill with the recipe.
Answer:
Therefore, the probability that at least half of them need to wait more than 10 minutes is <em>0.0031</em>.
Step-by-step explanation:
The formula for the probability of an exponential distribution is:
P(x < b) = 1 - e^(b/3)
Using the complement rule, we can determine the probability of a customer having to wait more than 10 minutes, by:
p = P(x > 10)
= 1 - P(x < 10)
= 1 - (1 - e^(-10/10) )
= e⁻¹
= 0.3679
The z-score is the difference in sample size and the population mean, divided by the standard deviation:
z = (p' - p) / √[p(1 - p) / n]
= (0.5 - 0.3679) / √[0.3679(1 - 0.3679) / 100)]
= 2.7393
Therefore, using the probability table, you find that the corresponding probability is:
P(p' ≥ 0.5) = P(z > 2.7393)
<em>P(p' ≥ 0.5) = 0.0031</em>
<em></em>
Therefore, the probability that at least half of them need to wait more than 10 minutes is <em>0.0031</em>.
The answer is B) 2/13.
An easy way to figure this out is to find what the unsimplified probability would be:
Since there are 8 kings and queens in total, the number is:
8/52
But, since these are both even numbers, they can be simplified.
1/4 x 8 = 2
1/4 x 52 = 13
2/13
Since 13 is a prime number, the answer cannot be simplified anymore.
Answer:
(A)24 square units
(C)72 square units
(D)96 square units
Step-by-step explanation:
<u>Triangular face</u>
Height of the Triangle=6 Units
Base of the Triangle=8 Units
Area of the Triangular Face
<u>Rectangular Faces</u>
Area of Rectangular face with dimension 12 by 10=12 x 10=120 Square Units
Area of Rectangular face with dimension 12 by 8= 12 X 8=96 Square Units
Area of Rectangular face with dimension 12 X 6=12 x 6=72 Square Units
From the options, the areas are:
- 24 square units
- 72 square units
- 96 square units
