Answer:
D. 0.821
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The combinations formula is important to solve this question:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
Desired outcomes
The order is not important. For example, Elisa, Laura and Roze is the same outcome as Roze, Elisa and Laura. This is why we use the combinations formula.
At least 3 girls.
3 girls
3 girls from a set of 5 and 2 boys from a set of 3. So
4 girls
4 girls from a set of 5 and 1 boy from a set of 3. So
5 girls
5 girls from a set of 5
Total outcomes
5 from a set of 8. So
Probability
So the correct answer is:
D. 0.821
Answer:
24
Step-by-step explanation:
⅕×⅚×3/7×21×16
⅙×9×16 (Cancelling 5 by 5 and 21 by 3)
⅙×144
24
Answer:
there can only be 1 pipe that will be 23 feet long because 23 don't go into 30 more than 1 time
Step-by-step explanation:
Black card is 1/2 probability. After that, the probability of choosing a heart is 1/4.
Therefore, if you multiply these numbers, you get the answer of 1/8.
A linear approximation to the error in volume can be written as
... ∆V = (∂V/∂d)·∆d + (∂V/∂h)·∆h
For V=(π/4)·d²·h, this is
... ∆V = 2·(π/4)·d·h·∆d + (π/4)·d²·∆h
Using ∆d = 0.05d and ∆h = 0.05h, this becomes
... ∆V = (π/4)·d²·h·(2·0.05 + 0.05) = 0.15·V
The nominal volume is
... V = (π/4)·d²·h = (π/4)·(2.2 m)²·(6.8 m) = 25.849 m³
Then the maximum error in volume is
... 0.15V = 0.15·25.849 m³ ≈ 3.877 m³
_____
Essentially, the error percentage is multiplied by the exponent of the associated variable. Then these products are added to get the maximum error percentage.
