Answer:
The correct option is 1.
Step-by-step explanation:
it is given that the probability of a randomly selected point on the grid below is in the blue area is 9/16.
In the given grid we have only two colors that are blue and white.
Let A be the event of a randomly selected point on the given grid is in the blue area.
If the randomly selected point on the given grid does not lie in the blue area, it means it lies on white area.
We will calculate P(A'), to find the probability that a randomly selected point is in the white on the grid.
We know that the sum of the probability is 1.
It is given that
Therefore option 1 is correct.
Quadrant IV
For an angle in the fourth quadrant the point P has positive x coordinate and negative y coordinate. Therefore: In Quadrant IV, cos(θ) > 0, sin(θ) < 0 and tan(θ) < 0 (Cosine positive).
Answer:
- Hayes family: 35 hours
- Rodrigues family: 40 hours
Step-by-step explanation:
Let x and y represent the usage hours by the Hayes and Rodrigues families, respectively. The problem statement gives us relations that can be used to write equations for volume of use and for total hours.
15x +30y = 1725 . . . . . total liters of use
x + y = 75 . . . . . . . . . total hours of use
The second equation lets us write an expression for y:
y = 75 -x
This can be substituted into the first equation to give ...
15x +30(75 -x) = 1725
-15x + 2250 = 1725 . . . . . . simplify
-15x = -525 . . . . . . . . . . . subtract 2250
x = 35 . . . . . . . . . . . . . . divide by -15
y = 75 -35 = 40
The Hayes family used their sprinklers for 35 hours; the Rodrigues family used theirs for 40 hours.
Answer:
Data set B would have flatter distribution with more data in each tail.
Step-by-step explanation:
We are given the following in the question:
Data set A has a smaller standard deviation than data set B.
Standard Deviation:
- It is a measure of dispersion of data.
- It tells us about how much the data deviates around the mean.
- It tells us about the overall deviation of the data from the mean.
- The standard deviation is small when the data are all close to the mean showing less variation.
- The standard deviation is larger when the data values are farther away from the mean, showing more variation.
Since data A has less standard deviation than data B, then data B has a flatter graphical representation as more of the data are present on the tails.
this would be equal to factorial 3 which is written 3! .
It is 3 * 2 * 1 = 6 numbers answer.
