Answer:
0.0023 = 0.23% probability that all 5 balls selected will be the same color
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The order in which the balls are selected is not important, which means that the combinations formula is used to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
Desired outcomes:
Either 5 amber from a set of 6, or 5 blue from a set of 5. So
Total outcomes:
5 balls selected from a set of 6 + 5 + 4 = 15. So
Probability:
0.0023 = 0.23% probability that all 5 balls selected will be the same color
Answer:
224
Step-by-step explanation:
the area of a circle is , so for the circle plug in your numbers:
(3.14)() = 615.44
divide this by 4 because t=in the picture you only have a fourth of a circle:
615.44 / 4 = 153.86
the formula for area of a trapezoid is × h
so plug in your values: × 5
you get 70
add 70 and 153.22
70 + 153.22 = 223.22
this can round to 224
Answer:
There is a 1.1% chance that a randomly chosen junior will have a score above 95.
Step-by-step explanation:
Calculate the z-score of 95 given a normal distribution with mean 79 and standard deviation of 7. The z-score is a probability (area under the distribution curve) of a value on a normalized random variable that has a distribution with mean 0 and standard deviation of 1. To get such a transformation, you need to subtract the mean and divide by the standard deviation, like this:
Based on this z-value, use z-score tables to look up the area under the curve. This will be the probability that randomly chosen values are lower (or higher, depending which table you are using) than this z-score. Be careful to apply the correct table. I found the following probability that a random z value is higher that the z-score 2.29: 0.011, or 1.1%. This means that there is a 1.1% chance that a randomly chosen junior will have a score above 95.