Answer:
The solution is (0, 2).
Step-by-step explanation:
Here we have two different equations for y. Equate them to eliminate y. Solve the resulting equation for x:
y = −1/3x + 2 = y = x + 2
Simplifying, we get (-1/3)x = x, and so x must be 0.
Then, using the second equation, we find that y = 0 + 2 = 2.
The solution is (0, 2).
Answer: 86%
Step-by-step explanation:
430/500=0.86
0.86x100= 86
86%
Answer:
a) It is a binomial experiment
b) It is not a binomial experiment, since we do not have a value of n.
Step-by-step explanation:
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
So:
a) A poll of 1200 registered voters is conducted in which the respondents are asked whether they believe Congress should reform Social Security.
For each voter, there are only two outcomes. Either they believe the Congress should reform Social Security, or they do not believe.
There are 1200 voters, so
.
Each voter has a probability of voting yes and a probability of voting no. So yes, it is a binomial experiment.
b) A baseball player who reaches base safely 30% of the time is allowed to bat until he reaches base safely for the third time. The number of at-bats required is recorded.
Here, there is no fixed number of at bats, so there is no value of n. So this is not a binomal experiment.
Answer:16.97cm
Step-by-step explanation:
To find the hypotenuse side of an isosceles of side 12cm each
Using pythagoras theorem
hyp^2=opp^2+adj^2
hyp^2=12^2+12^2
Hyp^2=144+144
hyp=√288
Hyp=16.97cm
Obtuse, because the triangle has an angle greater than 90 degrees.