By solving a linear equation, we will see that Victor is 30 years old.
<h3>
How old is Victor now?</h3>
Let's say that Victor is x years old.
We know that 10 years ago, (x - 10), his age was half of what it will be in 10 years (x + 10).
Then we can write the linear equation:
(x - 10) = (x + 10)/2
Now we can solve that equation for x:
2*(x - 10) = x + 10
2x - 20 = x + 10
2x - x = 10 + 20
x = 30
So we conclude that Victor is 30 years old.
If you want to learn more about linear equations:
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Answer:
Significance of the mean of a probability distribution.
Step-by-step explanation:
- The mean of a probability distribution is the arithmetic average value of a random variable having that distribution.
- For a discrete probability distribution, the mean is given by,
, where P(x) is the probabiliy mass function. - For a continuous probability distribution, the mean s given by,
, where f(x) is the probability density function. - Mean is a measure of central location of a random variable.
- It is the weighted average of the values that X can take, with weights given by the probability density function.
- The mean is known as expected value or expectation of X.
- An important consequence of this is that the mean of any symmetric random variable (continuous or discrete) is always on the axis of symmetry of the distribution.
- For a continuous random variable, the mean is always on the axis of symmetry of the probability density function.
Answer:
In exercises 3 and 4,write an equation of the line that passes through the given point and is parallel to the given line. 3. (1,3); y=2x-5 4. (-2,1); y= -4x+3 *In exercises 5 and 6, determine which of the lines,if any, are parallel or perpendicular. Explain! 5. line a passes through (-2,3) and (1,-1). Line b passes through (-3,1) and (1,4). Line c passes through (0,2) and (3,-2). 6. Line a: y= -4x +7 Line b: x= 4y+2 Line c: -4y+x=3 *In exercises 7 and 8, write an equation of the line that passes through the given point and is perpendicular to the given line. 7. (2,-3); y= 1/3x -5 8.(6,1); y= -3/5x-5 * In exercises 11-13, determine whether the statement is sometimes,always, or never true. Explain your reasoning! 11. A line with a positive slope and a line with a negative slope are parallel. 12. A vertical line is perpendicular to the x-axis. 13. two lines with the same x-intercept are perpendicular.
Step-by-step explanation:
If all the h grandchildren will receive equal amounts of cookies then, the number of cookies that each will receive is,
96/h
Then, Cindy will receive
96/h - 5 candies
(3/8) / 1 = (3/4) / x.....3/8 oatmeal to 1 batch = 3/4 oatmeal to x batches
cross multiply
(3/8)(x) = (3/4)(1)
3/8x = 3/4
x = (3/4) / (3/8)
x = 3/4 * 8/3
x = 24/12
x = 2 <==== 2 batches were made
