A four-sided die is rolled repeatedly, until the first time (if ever) that an even number is obtained. What is the sample space
1 answer:
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Answer:
20.33%
Step-by-step explanation:
We have that the mean (m) is equal to 87.5, the standard deviation (sd) 6.25 and the sample size (n) = 12
They ask us for P (x <86)
For this, the first thing is to calculate z, which is given by the following equation:
z = (x - m) / (sd / (n ^ 1/2))
We have all these values, replacing we have:
z = (86 - 87.5) / (6.25 / (12 ^ 1/2))
z = -0.83
With the normal distribution table (attached), we have that at that value, the probability is:
P (z <-0.83) = 0.2033
The probability is 20.33%
We need to find the quotient of the given division problem.
In order to find its quotient, we will use long division.
)
First of all, we put x in the quotient as goes into
, x times.
So, we get:
)
(x
Upon subtracting, we get:
We can see that goes into
, -2 times, therefore, the next term in the quotient will be -2. This makes our quotient as (x-2).
Question:
The square of a number decreased by 3 times the number is 28 find all possible values for the number
Answer:
The possible values of number are 7 and -4
Solution:
Given that the square of a number decreased by 3 times the number is 28
To find: all possible values of number
Let "a" be the unknown number
From given information,
square of a number decreased by 3 times the number = 28
Let us solve the above quadratic equation
Using the above formula,
Thus the possible values of number are 7 and -4