Answer:
a) Discrete Variable
b) Continuous Variable
Step-by-step explanation:
We are given the following in the question:
Discrete and Continuous:
- Discrete data are the data whose value can be expressed in whole number. They cannot take all the values within an interval.
- Discrete variables are usually counted than measured.
- Continuous variable can be expressed in the form of decimals. They can take any value within an interval.
- Continuous variables are usually measured than counted.
(a) The number of free dash throw attempts before the first shot is made.
Since the number of shots made will always be expressed in whole numbers and the number of shots made will counted and not measured. Thus, number of free dash throw attempts before the first shot is made. is a discrete variable.
(b) The distance a baseball travels in the air after being hit.
The distance is a continuous variable as its value can be expressed in decimals. Also distance is always measured and not counted. Thus, distance a baseball travels in the air after being hit is a continuous variable.
Answer: w=5 , L= 2+2(5)=12
Step-by-step explanation:
L=2+2W
A= 60
LxW=60, now we will replace the L
(2+2W)(W)=60 we multiply
2w^2+2w=60
2w^2+2w-60=0 we divide by 2 the equation so we can work easier
w^2+w-30=0
find out w using the quadratic equation
we will get 2 solution,
w=5 and another solution is -6, which is not valid, as the side can not be negative
-9 × 3 - 4² = -27 - 16 = -43
3² + 2² = 9 + 4 = 13
(-9 × 3 - 4²)/(3² + 2²) = -43/13 = -3 4/13
Answer:
A shaded region below a dashed line (y <3x-4)
Step-by-step explanation:
For linear inequalities, we have shaded regions below or above a dashed or solid or continuous line represented by an inequality.
Their graphs are called region graphs. Those regions are only enclosed ones if before the sign of inequality it is included both variables. Like x²+y²<1, |x+y|<1, etc.
In this case what we have here is an open region, as the graph below shows.
3x-y>4 =-y>4-3x∴y<3x-4
Setting a value for x
3x-4=0
3x=4
3x/3=4/3
x=4/3 (slope)
(4/3,0)
