Step-by-step explanation:
this is really complicated and tricky.
to create the next number, you have to add the first 2 digits of the previous number, then subtract the 3rd from the 2nd digit, multiply the 3rd and the 4th digit, and finally divide the 4th digit by the 5th.
so,
8+8 = 16
8-5 = 3
5×1 = 5
1/1 = 1
giving 16351 as next number.
the missing number we get then
1+6 = 7
6-3 = 3
3×5 = 15
5/1 = 5
giving 73155 as the next (missing) number.
control :
7+3 = 10
3-1 = 2
1×5 = 5
5/5 = 1
gives us 10251 as next number - correct.
but then it will end
1+0 = 1
0-2 = -2 ???? take the absolute value ?
2×5 = 10
5/1 = 5
Answer:
the answer is B
Step-by-step explanation:
6w + 5 - 3w + 7
<h3>i) collect like terms</h3>
= 6w - 3w + 5 + 7
= 3w + 5 + 7
<h3>ii) add the numbers</h3>
= 3 w + 5 + 7
= 3w + 12
Simplify, and put your answer in terms of i.
Answer:
B) y² = 4x; There are two outputs for each input
Step-by-step explanation:
For an equation to be called a function, the input values for x must only result in a single output for y.
Based on this definition if a function, the functions y = x², y = -x and y = x are all functions because for any value of x imputed in them, we can only get one equivalent value of y.
The only exception is the function y²= 4x
For this function, for any value of x, there will be more than one output for y. Take x = 1 for example
y² = 4(1)
y² = 4
y = ±√4
y = ±2
This shows that y = 2 and -2
Also if x = 4
y² = 4(4)
y² = 16
y = ±√16
y = ±4
y = 4 and -4
No matter the value of x imputed, the output value y will always be two (a positive and a negative value)
Hence, option B is correct.
Answer:
0.55% probability that exactly 5 out of the first 13 customers buy a magazine
Step-by-step explanation:
For each customer, there are only two possible outcomes. Either they buy a magazine, or they do not. The probability of a customer buying a magazine is independent of other customers. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which 
is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
10% of his customers buy a magazine
This means that 
What is the probability that exactly 5 out of the first 13 customers buy a magazine?
This is P(X = 5) when n = 13. So
0.55% probability that exactly 5 out of the first 13 customers buy a magazine
