Answer:
0.0025 = 0.25% probability that both are defective
Step-by-step explanation:
For each item, there are only two possible outcomes. Either they are defective, or they are not. Items are independent of each other. 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.
5 percent of these are defective.
This means that 
If two items are randomly selected as they come off the production line, what is the probability that both are defective
This is P(X = 2) when n = 2. So
0.0025 = 0.25% probability that both are defective
I believe it is 3x+21 but i could be wrong :/ my explaination is -3 • -X would be +3x because it was distributed and -3 • -7 would be +21
Answer:
Step-by-step explanation:
a). Let the missing term = a
(a + 7) + (2x - 6) = -4x + 1
(a + 2x) + (7 - 6) = -4x + 1
(a + 2x) + 1 = -4x + 1
(a + 2x) = -4x
a = -4x - 2x
a = -6x
So the equation is,
(-6x + 7) + (2x - 6) = -4x + 1
b). (a² + p + 1) - (q + 5a + r) = 4a² -2a + 7
I have assumed p, q and r are the variables at the blank spaces.
(a² - q) + (p - 5a) + (1 - r) = 4a² - 2a + 7
By comparing both the sides of the equation,
a²- q = 4a²
q = a² - 4a²
q = -3a²
p - 5a = -2a
p = -2a + 5a
p = 3a
1 - r = 7
r = 1 - 7
r = -6
So the equation will be,
(a² + 3a + 1) - (-3a² + 5a - 6) = 4a²- 2a + 7
Answer: 21,952 cm³
Explanation:
Volume = 28 x 28 x 28 = 29 152 cm³
Answer:
a. -0.9
Step-by-step explanation:
The closer you get to 1, either positive or negative, the stronger the correlation
-.9 is closest to -1, so it has the strongest negative correlation
