Answer:
3
Step-by-step explanation:
The goal is to get the x to be on one side of the equation on its own.
-6x = -18
To get rid of the -6, we would have to do the opposite of what it's doing in the equation - in this case, we would divide, as it's the opposite of multiplying.
What we do to one side of the equation, we have to do to the other.
-6x/-6 = x
-18/-6 = 3
x = 3
Hope that makes sense!
Answer:
The mean and the standard deviation of the number of students with laptops are 1.11 and 0.836 respectively.
Step-by-step explanation:
Let <em>X</em> = number of students who have laptops.
The probability of a student having a laptop is, P (X) = <em>p</em> = 0.37.
A random sample of <em>n</em> = 30 students is selected.
The event of a student having a laptop is independent of the other students.
The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> and <em>p</em>.
The mean and standard deviation of a binomial random variable <em>X</em> are:
Compute the mean of the random variable <em>X</em> as follows:
The mean of the random variable <em>X</em> is 1.11.
Compute the standard deviation of the random variable <em>X</em> as follows:
The standard deviation of the random variable <em>X</em> is 0.836.
"In three more years,Miguel's grandfather will be six times as old as Miguel was last year. When Miguel's present age is added to his grandfather's present age, the total is 68. How old is each one now?"
Miguel is 11 years old and his grandfather is 57 years old.
Last year Miguel was 10. In three more years his grandfather would be 60. 60/6=10. 11+57=68
The correct answer to the question provided is a the only possible solution is a=3
Answer:
36°, 63°, 81°
Step-by-step explanation:
Let 4x = measure of angle 1
7x = measure of angle 2
9x = measure of angle 3
The sum of the measures of the angles of a triangle = 180
So 4x + 7x + 9x = 180
20x = 180
x = 9
4x = 36 = measure of angle 1
7x = 63 = measure of angle 2
9x = 81 = measure of angle 3
Check: 36 + 63 + 81 = 180
