Answer:
P(X = 0) = 0.25
P(X = 1) = 0.75
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The probability distribution of X.
3 red balls out of 4, one picked, so we can have either 0 red balls or 1 red ball. The probability disitribution is the probability of each outcome.


60 min = 1 hr
30 times 2 = 60 minutes
7.7 times 2 = 15.4 km
15.4 km per hr is the answer
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Answer:
452.16 square yards
Step-by-step explanation:
The equation for the SA of a sphere is A=4πr2
Substituting r = 6 yards : A= 4 * 3.14 * 6^2 = 452.16 square yards
Answer:
unreadable score = 35
Step-by-step explanation:
We are trying to find the score of one exam that is no longer readable, let's give that score the name "x". we can also give the addition of the rest of 9 readable s scores the letter "R".
There are two things we know, and for which we are going to create equations containing the unknowns "x", and "R":
1) The mean score of ALL exams (including the unreadable one) is 80
so the equation to represent this statement is:
mean of ALL exams = 80
By writing the mean of ALL scores (as the total of all scores added including "x") we can re-write the equation as:

since the mean is the addition of all values divided the total number of exams.
in a similar way we can write what the mean of just the readable exams is:
(notice that this time we don't include the grade x in the addition, and we divide by 9 instead of 10 because only 9 exams are being considered for this mean.
Based on the equation above, we can find what "R" is by multiplying both sides by 9:

Therefore we can now use this value of R in the very first equation we created, and solve for "x":

Answer:
54 cm
Step-by-step explanation:
Measures are proportional on a scale drawing:
drawing measure : actual measure = 6 cm : 3 m = x : 27 m
The value on the right of the x ratio, 27, is 9 times 3, so the value of x will be 9 times 6 cm.
54 cm on the blueprint represents an actual distance of 27 meters.