9 ft
Set up a ratio...6/18=x/27...reduce to 1/3=x/27...cross multiply and solve for x.
3x=27 so x=9
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.
Miles per hour = Total miles/ total no of hours
1764 miles divided by 28 hours = 63 mph
Answer:
70%
Step-by-step explanation:
First, convert 0.3 into a percentage;
To do so, convert it 0.3 into a fraction then multiply by 100;
0.3 into a fraction = 3/10
3/10 into a percentage =
The 10 at the bottom cancels out one zero at the top and you are left with 30.
Therefore percentage in Carlos' monthly savings is = 30%
Next, calculate the percentage NOT put in savings
percentage NOT put in savings = 100% - percentage in savings;
That is ; 100% -30% =70%
Hence, 70% of his income is not put into savings.
Answer:
A shaded region below a dashed line (y <3x-4)
Step-by-step explanation:
For linear inequalities, we have shaded regions below or above a dashed or solid or continuous line represented by an inequality.
Their graphs are called region graphs. Those regions are only enclosed ones if before the sign of inequality it is included both variables. Like x²+y²<1, |x+y|<1, etc.
In this case what we have here is an open region, as the graph below shows.
3x-y>4 =-y>4-3x∴y<3x-4
Setting a value for x
3x-4=0
3x=4
3x/3=4/3
x=4/3 (slope)
(4/3,0)