Answer:
1/3
Step-by-step explanation:
5 over 15
divide both by 5 to simplify 1 over 3
Answer:
And we can find the individual probabilities like this:
And adding we got:
Step-by-step explanation:
Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
Let X the random variable of interest, on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
Solution to the problem
For this case we want to find this probability:
And we can find the individual probabilities like this:
And adding we got:
Answer:
-4/3
Step-by-step explanation:
Dot goes down 4 (negative) and then 3 to the right (positive)
rise over run ---> -4/3!
Answer:
At the beginning, there were 2,678.26 grams of sugar in the container.
Step-by-step explanation:
Since Lisa used 880g of a container of sugar to bake a cake and 1/10 of the creaming sugar to make cookies, and she then had 3/7 of the container of sugar left, to determine how much sugar was in the container at first, the following calculation must be performed:
880 + 1 / 10X = 3 / 7X
880 + 0.1X = 0.4285X
880 = 0.4285X - 0.1X
880 = 0.3285X
880 / 0.3285 = X
2,678.26 = X
Therefore, at the beginning there were 2,678.26 grams of sugar in the container.
Answer:
x = .140741
Step-by-step explanation:
0.7(3x−0.2)=0.3(0.8−2x)
Distribute
.7 * 3x - .7*.2 = .3*.8 - .3 * 2x
2.1x - .14 = .24 - .6x
Add .6x to each side
2.1x +.6x -.14 = .24 -.6x+.6x
2.7x -.14 = .24
Add .14 to each side
2.7x -.14+.14 = .24+.14
2.7x = .38
Divide by 2.7 on each side
2.7x/2.7 = .38/2.7
x = .140741