(x - 4)²
(x - 4)(x - 4)
x² - 4x - 4x + 16
x² - 8x +16
Answer:
The reason why standard deviation of the entire class is greater than standard deviation of males and females considered separately, is that mean values for males and females are different from each other.
Step-by-step explanation:
The concept of mean is well represented by the following formula
mean = 
, where x1, x2, xn are the observations and N is the number of observations (population).
Standard deviation represents the distance between each observation and the mean of the population (all observations). The formula for this parameter is:
Standard deviation =√[((x1 - x)² + (x2-x)² + ....+ (xn-x)²)/N-1], where x1, x2,..., xn are the observations and x is the mean value.
In this case you have that each height registered is an observation and the number of observations represents the N value. As you can see if the mean for males is different from that of females their standard deviation will be different too. Usually males have heigths greater than that of females (1.77 vs 1.64, in USA for example), and heights inside each group will be more similar than between groups. Then, when you mix all observation there will be an increase in standard deviation, because you are mixing very different heigths
You add and subtract what's in the parentheses and they that will give u your awnser for x I hope I helped u
Answer:
Step-by-step explanation:Simplifying
2a + 6b = 100
Solving
2a + 6b = 100
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '-6b' to each side of the equation.
2a + 6b + -6b = 100 + -6b
Combine like terms: 6b + -6b = 0
2a + 0 = 100 + -6b
2a = 100 + -6b
Divide each side by '2'.
a = 50 + -3b
Simplifying
a = 50 + -3b
If you have applied for two jobs a and b and the probability that you get an offer for the job a is 0.25 and the probability of being offered job b is 0.20, then the probability that you will be offered both jobs is 0.05.
Probability is a term used in mathematics that is concerned with the numerical illustration of the possibility of an event to take place. Its value is between 0 and 1 where 0 illustrates the impossibility of the event to take place while 1 illustrates the certainty of an event to take place.
As the probability of both the jobs are not dependent on each other, the probability that both jobs will be offered can be calculated by the formula;
P(A∩B) = P(A) × P(B)
Here, P(A∩B) represents the probability of both the events to take place together
As P(A) is equal to 0.25
P(B) is equal to 0.20
P(A∩B) = (0.25)(0.20)
P(A∩B) = 0.05
Therefore, 0.05 is the probability that both jobs will be offered.
To learn more about probability, click here:
brainly.com/question/251701
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