Step-by-step explanation:
With each draw, the probability of selecting a green marble is 2/3 and the probability of selecting a yellow marble is 1/3.
To pick two of the the same color, they can either pick green twice or yellow twice.
P = (2/3)(2/3) + (1/3)(1/3)
P = 5/9
To pick two different colors, they can either pick green first then yellow, or yellow first then green.
P = (2/3)(1/3) + (1/3)(2/3)
P = 4/9
Expected value for Derek is:
D = (5/9)(-1) + (4/9)(1)
D = -1/9
The expected value for Mia is:
M = (5/9)(1) + (4/9)(-1)
M = 1/9
Answer:
6 teaspoons
Step-by-step explanation:
PLz brainliest,Hope I could help
You use distributive property. So (5 x 2)-(5 x x)= 10 - 5x.
The equation that represents the line is:

Step-by-step explanation:
We have to observe the graph to find the points on line
So the points on line are:
(x1,y1) = (4,6)
(x2,y2) = (-2,1)
First of all we have to find the slope

Equation of line is given by:

Putting the value of slope

Putting (4,6) in the equation

Putting the value of b

Hence,
The equation that represents the line is:

Keywords: Equation of line, slope
Learn more about equation of line at:
#LearnwithBrainly
Answer:
There is not sufficient evidence to support the claim μ > 54.4.
Step-by-step explanation:
1) Previous concepts
A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".
The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".
The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".
2) Solution to the problem
On this case we want to test is
and the system of hypothesi on this case are:
Null Hypothesis: 
Alternative hypothesis:
On this case is our decision is FAILS to reject the null hypothesis then we can conclude that we don't have enough evidence to support the claim at the significance level provided. So the correct conclusion would be:
There is not sufficient evidence to support the claim μ > 54.4.