Answer:
Step-by-step explanation:
Subtract 5/8 from both sides:-
Add like terms:-
Rule:-
Subtract,
Cancel common factor: 2
---------------
Now, subtract 3x from both sides:-
Divide both sides by -1:-
<u>OAmalOHopeO</u>
Which number line shows the solution of -4x+ 6> 18?
1 answer:
Consider the below figure attached with this question.
Given:
To find:
The number of line that represents the solution of given inequality.
Solution:
We have,
Subtracting 6 from both sides, we get
If an inequality is multiplied or divide by a negative number, then the sign of inequality must be change.
Divide both sides by -4.
The value of x is less than -3. It means number of the left of -3 are included in the solution set but -3 is not included in the solution set.
So, there is an open circle at x=-3 on the number and an arrow from -3 towards left.
Therefore, the correct option is A.
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Answer:
Mean for a binomial distribution = 374
Standard deviation for a binomial distribution = 12.97
Step-by-step explanation:
We are given a binomial distribution with 680 trials and a probability of success of 0.55.
The above situation can be represented through Binomial distribution;
where, n = number of trials (samples) taken = 680 trials
r = number of success
p = probability of success which in our question is 0.55
So, it means X <em>~ </em>
<em><u>Now, we have to find the mean and standard deviation of the given binomial distribution.</u></em>
- Mean of Binomial Distribution is given by;
E(X) = n p
So, E(X) = 680 0.55 = 374
- Standard deviation of Binomial Distribution is given by;
S.D.(X) =
=
= = 12.97
Therefore, Mean and standard deviation for binomial distribution is 374 and 12.97 respectively.