The independent variable is time, which varies from 0 to 0.5, so domain = [0,0.5].
The distance travelled is the dependent variable, varying from 0 to (1/2)80=40 km. The range is therefore [0,40].
Note: in interval notation, a square bracket means that the value is included in the interval.
Answer:
A graph has quantity on the x-axis and price on the y-axis. A supply line goes through (10, 25), (20, 30), (30, 35), (40, 40).A graph has quantity on the x-axis and price on the y-axis. A demand line goes through (10, 40), (20, 30), (30, 20), (40, 10). Based on the supply graph and the demand graph shown above, what is the price at the point of equilibrium? a. 20 b. 30 c. 40 d. There is not enough information given to determine the point of equilibrium. Please select the best answer from the choices provided A B C D
Answer:
Option C - 4.71
Step-by-step explanation:
We are given the Test statistic for proportion as;
z = (^p − p)/√pq/n
From the question;
^p = 0.15
p = 0.1
q = 1 - 0.1 = 0.9
n = 800
z = (0.15 - 0.1)/√(0.1 × 0.9/800)
z = 0.05/√(0.09/800)
z = 4.71
Answer:
Step-by-step explanation:
Hi Millie.
First we can realize that the number of cubes of each type does not matter, only the ratios between them. We see that if there are x yellow cubes, there are 3x blue cubes. And therefore, there are 5*3x green cubes, or 15x green cubes. This means that the cubes are in a 1:3:15 ratio, or that for every 1 yellow cube, there are 3 blue and 15 green cubes.
Now we can find the probability of picking a yellow cube. Since there are 18 non-yellow cubes for every yellow cube, this means that there is a 1/19 possibility of picking a yellow cube.
Measure of Hypotaneous = 5√5
And it's already given that b = 2a
By using pythagoras theorem:
a²+ b² = (5√5)²
Let's substitute for b as 2a in above equation we'll get:
a² + (2a)² = (5√5)²
a² + 4a² = 125
5a² = 125
a² = 25
a = √25 = 5
Therefore,
a= 5
and
b = 2a = 2(5) = 10.
