Answer:
4 is even; 4 can be divided by 2 and the quotient is whole.
Step-by-step explanation:
If a number is even, it can be divided by 2 and the quotient is a whole number. 4 can be divided by 2 and the quotient is whole, so we can say 4 is even.
Answer: y=-6
Step-by-step explanation:
First convert the equation -2y= 8 into y intercept form by divide both sides by -2.
-2y = 8
y= -4 Now that the line is in y intercept form we can now determine the slope.The slope is 0 so -4 in this case is the y intercept.
Remember lines that a parallel needs to have the same slope but different y-intercepts.
So if the slope of the line y=-4 is 0 then the slope of line that passes through the point (2,-6)
So using the y intercept form formula which says that y=mx+b where m is the slope and b is the y-intercept, we could plot in the values for y and x and solve for b to write the equation.
y is -6 and x is 2
-6 = 0(2) + b
-6 = 0 + b
b= -6
In this case the y intercept is -6 so since the slope is zero we will have the equation y = -6
This is like the equivalent to a jar with 4 green balls and 6 white balls, where you are picking 3. (The 4 green balls signify the friends from kindergarten.)
You want to solve the probability that the first two balls are green and the third is white.
First draw --> 4 green out of 10 balls --> 4/10 = 2/5
Second draw --> 3 green out of 9 balls --> 3/9 = 1/3
Third draw --> 6 white out of 8 balls --> 6/8 = 3/4
2/5 x 1/3 x 3/4
= 6/60
= 1/10
so the answer is 1/10 (or 10%)
Answer: 4 1/6 = 6/25
5 5/6 = 6/35
1 5/6= 6/11
Step-by-step explanation:
<u>Given</u>:
The 11th term in a geometric sequence is 48.
The 12th term in the sequence is 192.
The common ratio is 4.
We need to determine the 10th term of the sequence.
<u>General term:</u>
The general term of the geometric sequence is given by
where a is the first term and r is the common ratio.
The 11th term is given is
------- (1)
The 12th term is given by
------- (2)
<u>Value of a:</u>
The value of a can be determined by solving any one of the two equations.
Hence, let us solve the equation (1) to determine the value of a.
Thus, we have;
Dividing both sides by 1048576, we get;
Thus, the value of a is 
<u>Value of the 10th term:</u>
The 10th term of the sequence can be determined by substituting the values a and the common ratio r in the general term , we get;
Thus, the 10th term of the sequence is 12.
