Answer:
x = 18
Step-by-step explanation:
Remember supplementary angles equal 180°!
180 = 69 + (6x+3)
111 = 6x + 3
108 = 6x
18 = x
Answer:
Step-by-step explanation:
Let the fraction be .
That would mean:
(1) x+y = 19
&
(2) y+8 = 2x or 2x = y+8
In order to use substitution, we multiply equation by 2:
(3) 2x+2y = 38
Then we substitute equation (2) into (3):
y+8 + 2y = 38
3y + 8 = 38
3y = 30
y = 10
Substitute this into equation (1)
x + 10 = 19
x = 9
Therefore the fraction would be:
This is the concept of exponential growth, To get the number of bacteria after 10 days we use the formula:
f(t)=ae^(kt)
where;
a=initial number=5000
k=constant of proportionality= 0.04
t=time=10 days
f(t)=future number
thus the number of bacteria in 10 days will be:
f(t)=5000e^(0.04*10)
f(t)=7,459.12
The answer is 7,459.12
Answer:
<h2>x>5 (Answer should have a positive sign.)</h2>
Step-by-step explanation:
To solve this problem, isolate x from one side of the equation.
First, subtract by 14 from both sides.
14-3x-14<-1-14
Solve.
-3x<-15
Multiply by -1 from both sides.
(-3x)(-1)>(-15)(-1)
Solve.
3x>15
Then, you divide by 3 from both sides.
3x/3>15/3
Solve.
15/3=5
x>5
In conclusion, final answer is x>5.
Answer:
By the Central Limit Theorem, the mean is 78, the standard deviation is and the shape is approximately normal.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean and standard deviation , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean and standard deviation .
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean of 78 and a standard deviation of 6
This means that
Samples of n:
This means that the standard deviation is:
What are the mean, standard deviation, and shape of the distribution of x-bar for n?
By the Central Limit Theorem, the mean is 78, the standard deviation is and the shape is approximately normal.