Answer:
The answer is B no triangles can be made. for it to be a triangle two sides must be greater than the third side. is 14+6 greater that 5? Yes but 6+5 isn't greater than 14 so the answer would be no triangles can be made
Answer:
The probability is
Step-by-step explanation:
The probability of guessing correctly, P = 0.54
Probability of not guessing correctly, q = 1 – P
q = 1 – 0.54 = 0.46
Number of trials, n = 32
Now calculate the probability that Mr. Taylor will pick 32 correctly in first round of the game.
Below is the calculation using binomial distribution.
There are 3 ways of solving a simultaneous problem, substitution method, elimination method and Gauss-Jordan method. I'm gonna use the substitution method since it's easier and i think it would suit your level more.
First let's try solving for y since it's easier to start with.
Firstly we have to find an equation for x:
Great, now we can use the substitution method to find the value of y using the first equation:
Now we know that y=1 we can solve the first equation we made:
And the answer is
Double check:
And that's our final answer! (4,1)
The answer for your question is 12.
Answer:
we can conclude at 95% of confidence that the true proportion of interest for this case is between 0.287 and 0.613
Step-by-step explanation:
The estimated proportion of interest is
We need to find a critical value for the confidence interval using the normla standard distributon. For this case we have 95% of confidence, then the significance level would be given by and .
And the critical value is:
The confidence interval for the true population proportion is interest is given by this formula:
Replacing the values provided we got:
And we can conclude at 95% of confidence that the true proportion of interest for this case is between 0.287 and 0.613