Answer:
It's basically just simplifying . Also for a little extra cheat just look up MathPapa or whatever the subject in math is and end it with calculator, usually these really help solve problems!
Good Luck, Hope those come in handy :))
Answer: The answer is 27600 and 35152.
Step-by-step explanation: Given that the call letters of a radio station must have 4 letters and the first letter is one of K or W. We are to calculate the number of call letters that can be made if repetition is allowed and not allowed.
If repetition is not allowed, then we can choose the first letter in 2 ways, second letter in 25 ways, third letter in 24 ways and fourth letter in 23 ways. So, the total number of call letters will be
If repetition is allowed, then we can choose the first letter in 2 ways, second letter in 26 ways, third letter in 26 ways and fourth letter in 26 ways. So, the total number of call letters will be
Thus, the required answer is 27600 and 35152.
Answer:
(x, y) = (2, 9)
Step-by-step explanation:
For the triangles to be congruent, the hypotenuses must be the same length:
y = x + 7
and the marked leg must be the same length in each triangle:
y -3 = 4x -2
These are two equations in two unknowns (a "system" of equations) that can be solved in any of the usual ways. Since the first equation gives an expression for y, it is convenient to substitute that into the second equation:
(x +7) -3 = 4x -2
x +4 = 4x -2 . . . . . . collect terms
x +6 = 4x . . . . . . . . .add 2
6 = 3x . . . . . . . . . . . subtract x
2 = x . . . . . . . . . . . . divide by 3
y = 2 + 7 = 9 . . . . . .substitute for x in the first equation
The values you're looking for are x = 2, y = 9.
Answer:
B. the results are not statistically significant at level = 0.05, but they are practically significant.
Step-by-step explanation:
Given that the average Math SAT score for all students taking the exam this year is 480 with standard deviation 100.
Sample size n =4
mean difference = 550-480 = 70
Std error of sample =
Since sample size is small t test can be done with df =3
(one tailed test)
t =
p value =0.128
Since p >0.05 we accept null hypothesis.
B. the results are not statistically significant at level = 0.05, but they are practically significant.
Answer:
Sample Response: The probability gets smaller and approaches 0 because 9 or 10 successes in 10 trials is unlikely.