Answer:
x = 4
Step-by-step explanation:
Solve for x:
12 x - 15 = 3 (2 x + 3)
Hint: | Write the linear polynomial on the left hand side in standard form.
Expand out terms of the right hand side:
12 x - 15 = 6 x + 9
Hint: | Move terms with x to the left hand side.
Subtract 6 x from both sides:
(12 x - 6 x) - 15 = (6 x - 6 x) + 9
Hint: | Combine like terms in 12 x - 6 x.
12 x - 6 x = 6 x:
6 x - 15 = (6 x - 6 x) + 9
Hint: | Look for the difference of two identical terms.
6 x - 6 x = 0:
6 x - 15 = 9
Hint: | Isolate terms with x to the left hand side.
Add 15 to both sides:
6 x + (15 - 15) = 15 + 9
Hint: | Look for the difference of two identical terms.
15 - 15 = 0:
6 x = 9 + 15
Hint: | Evaluate 9 + 15.
9 + 15 = 24:
6 x = 24
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of 6 x = 24 by 6:
(6 x)/6 = 24/6
Hint: | Any nonzero number divided by itself is one.
6/6 = 1:
x = 24/6
Hint: | Reduce 24/6 to lowest terms. Start by finding the GCD of 24 and 6.
The gcd of 24 and 6 is 6, so 24/6 = (6×4)/(6×1) = 6/6×4 = 4:
Answer: x = 4
Answer:
16,17 and 18
Step-by-step explanation:
In statistics mode of a set of entries is the entry which is repeated maximum. There can be more than one mode in a set of entries. These are called mode,
Bimode ( two mode ) , trimode ( three mode ) and Multimode ( four or more ) .
Hence here our set of entries is,
20,17,16,17,18,16,18,19
arranging them in ascending order
16,16,17,17,18,18,19,20
hence in this case we see that 16,17and 18 all are getting repeated for two times, the maximum.
Hence we have a trimode here
16,17,18
<span>A binomial distribution is the discrete probability distribution of the number of successes in a sequence of independent experiments, each asking a yes/no question, and each with an outcome that has a random variable containing single bit of information. So, an example would be A: Find the probability of selecting a red ball from a vase containing red, green, and yellow balls after selecting two yellow balls without replacement.</span>
