The average of p, q, and r is 40. The average of a, b, c, and d is 5. What is the average of a, b, c, d, p, q, and r?
Pachacha [2.7K]
Answer:
20
Step-by-step explanation:
Average = sum of numbers divided by number of numbers
sum of p q and r: 40*3=120
sum of a b c and d: 5*4=20
sum of a b c d p q r: 120+20=140
average of a b c d p q r: 140/7, or 20
The slope of the line is m=1/2
To answer this item, we are first to determine the common factor between the amounts of the cement, sand, and gravel.
If we let x be this factor, the amount of the cement would be x. Similarly, the amount of sand is 3x, and lastly the amount of gravel is 4x. Then, we establish the equation that would let us relate the amounts.
x + 3x + 4x = 480
Simplifying,
8x = 480
x = 60
Hence, the amount of cement is 60 kg, that of sand is 180 kg. Lastly, the amount of gravel is 240 kg.
Answer:
k = 5
n = 10
p = 0.5
Step-by-step explanation:
Let X be a discrete random variable. The binomial probability formula is used to calculate the probability of obtaining k-successes in "n" independent trials for an experiment with probability of success p and probability of failure q.
The binomial formula is the following:

Where:
k = number of successes
n = number of trials
p = probability of success
q = probability of failure.
So, for the given problem
k = 5 Because you want to get the probability of getting 5 "heads"
n = 10 Because the experiment is repeated 10 times
p = 0.5 Because the probability of obtaining a "heads" when flipping a coin is 50%
q = 0.5