Answer: d. np(1 - p).
Step-by-step explanation:
Let x be any binomial variable which represents the number of success such that
, where n is the sample size or the total number of trials and p is the probability of getting success in each trial .
Then, the mean E(x) and the variance Var(x) for the binomial distribution is given by equation :


where n is the sample size or the total number of trials and p is the probability of getting success in each trial .
Therefore , the correct option is option d. np(1 - p) .
Answer: The sum of 75.2+(57.376+24.8) is 157.376.
Explanation:
The commutative property of addition states that,

The associative property of addition states that,

The given expression is 75.2+(57.376+24.8).
First use commutative property of addition in the parenthesis.

Now use associative property of addition.

Now simplify the expression,


Therefore, the sum of 75.2+(57.376+24.8) is 157.376.
Answer:
Options B and D.
Step-by-step explanation:
The general form of sine function

where, |A| is amplitude,
is period,
is phase shift and D is y-intercept.
The general form of cosine function

where, |A| is amplitude,
is period,
is phase shift and D is y-intercept.
In function, 
Amplitude : 
y-intercept : -1
In function, 
Amplitude : 
y-intercept : -1
In function, 
Amplitude : 
y-intercept : 0
In function, 
Amplitude : 
y-intercept : -1
Therefore, the correct options are B and D.
Answer:
2, 19, -3
Step-by-step explanation:
<span>x intercept when f(x) = 0
so
</span><span>x^2-81 = 0
x^2 = 81
x = + 9 and x = -9
Answer
</span><span>C -9</span>