Answer:
OPTION B: K = 15
Step-by-step explanation:
The given equation is: 21 + 3x = 3x + K
Substitute K = 3x
we get: 21 = 3x + 3x + 3x
⇒ 21 + 3x = 6x
⇒ 21 = 3x
This gives the value of x = 7. That means K = 3x gives us a solution. So, OPTION A is eliminated.
Now, K = 15
The equation becomes 21 + 3x = 3x + 15
Subtracting 3x on both the sides, we get:
⇒ 21 + 3x - 3x = 15 + 3x - 3x
⇒ 21 = 15 which can not be correct. So, K = 15 renders the equation meaningless and hence with no solution.
So, OPTION B is the answer.
Note that K = 21 will give the equation with infinitely many solutions.
Answer:
-4
explanation:
since there is subtraction sign in front of the negative 2 it would change into a positive 2.
-6 + 2 = -4
Answer:
P-value = 0.009997
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 24
Nature of test: One-tailed test(Left tailed test)

We have to calculate the p-value.
Degree of freedom = n - 1 = 23
We calculate the p-value from the table corresponding to t score -2.50 and degree of freedom 23.
P-value = 0.009997
0.009997 is the probability of a value being to the left of a number that has a student-t statistic of –2.50.
Answer:
9/20 or .45
Step-by-step explanation:
3/4 x 3/5 = .45 or 9/20
Answer:
Step-by-step explanation:
31. D 6.5+8 = 14.5 > 12
32. B -2*5= -10
33. B -2x=6
:)