Answer: 7
Step-by-step explanation:
First order the numbers by least to greatest
2, 3, 5, 9, 12, 21
Then find the number inbetween
In this case it's a tie between 5 and 9.
Find the average of those two numbers
The average is 5+9/2 = 7
Median is 7
<h2>
Answer with explanation:</h2>
According to the Binomial probability distribution ,
Let x be the binomial variable .
Then the probability of getting success in x trials , is given by :
, where n is the total number of trials or the sample size and p is the probability of getting success in each trial.
As per given , we have
n = 15
Let x be the number of defective components.
Probability of getting defective components = P = 0.03
The whole batch can be accepted if there are at most two defective components. .
The probability that the whole lot is accepted :
∴The probability that the whole lot is accepted = 0.99063
For sample size n= 2500
Expected value : 
The expected value = 75
Standard deviation : 
The standard deviation = 8.53
Answer:
y-intercept is (0,30); x-intercept is (52.5,0).
Step-by-step explanation:
Note that as x increases by 7 from -35 to -28, y decreases by 4 from 18 to 14. Thus, the slope of this line is
m = rise / run = -4/7.
Let's find the equation of the line. Start with the slope-intercept form:
y = mx + b. Use the slope m = -4/7 and the point (-28, 14) to find b:
14 = -(4/7)(28) + b, or
14 = -16 + b. Then b = 30, and the equation of the line in slope-intercept form is y = (-4/7)x + 30. The y-intercept is (0, 30).
Find the x-intercept by setting y=0 and solving the resulting equation for x:
y = (-4/7)x + 30 becomes (4/7)x = 30, and x = (7/4)(30) = 214, or 52.5.
The x-intercept is thus (52.5, 0).
Answer:
x = -12,
Step-by-step explanation:
-1 + 5/4x = -16
5/4 x = -16 + 1
5/4 x = -15
x = -15 * 4/5
x = -12.
The answer is B because to find the distance between a number from zero you need the absolute value in the expression here it’s -7+7
