The two rolls of the number cube are independent events because
the result of 1 roll does not affect the result of the other roll.
To find the probability of two independent events, we first find
the probability of each event, then we multiply the probabilities.
We can find the probability of an event using the following ratio:
number of favorable outcomes/total number of outcomes
Since there is only one way to roll a 3 and there are six
possible outcomes, 1, 2, 3, 4, 5, and 6, the probability of rolling a 3 is 1/6.
Since there is also only one way to roll a 2 and there are
six possible outcomes, the probability of rolling a 2 would be 1/6.
Now we multiply the probabilities.
1/6 x 1/6 is 1/36.
So the probability of rolling a 3 and a 2 is 1/36.
Answer:for the first exam she made a 65 for the second one she made a 72 for the third one she made a b for the forth one she made a 86 for the fifth one its b and replace it with a c for the last one she made a d
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Step-by-step
Answer: P12* = 0.0164 or 1.64%
Therefore, the probability that it takes more than 12 attempts before he completes a pass is 0.0164 or 1.64%
Step-by-step explanation:
Given;
The quarterback's pass accuracy P= 29% = 0.29
The probability of not completing a particular pass P*
= 1 - 0.29 = 0.71
the probability that it takes more than 12 attempts before he completes a pass implies that the quarterback will not complete his first 12 pass attempts.
The probability that he will not complete the first 12 pass
P12* = (P*)^12
P12* = (0.71) ^12
P12* = 0.0164 or 1.64%
Therefore, the probability that it takes more than 12 attempts before he completes a pass is 0.0164 or 1.64%
M(slope) = Δy/Δx = 8-(-6)/-4-(-3) = 14/-1 = -14
In order to be given a scholarship, a swimmer must complete the 200-meter backstroke in no more than 144 seconds.
<u><em>Explanation</em></u>
Given that the time to complete a 200-meter backstroke swim for female competitive swimmers is normally distributed with a mean μ = 141 seconds and a standard deviation σ = 7 seconds
The fastest 6% of female swimmers in the nation are offered college scholarships. So, the probability will be 0.06
According to the normal distribution table, the z-score for probability of 0.06 is 0.5239
Now using z-score formula z= (x- μ)/σ , we will get...
That means, 
<em>(in whole number)</em>
So, in order to be given a scholarship, a swimmer must complete the 200-meter backstroke in no more than 144 seconds.
