Answer:
1) x=5
2) x=7
3) x=8
4) x=4
5) x=7
6) x=8
Step-by-step explanation:
Since each pair is similar, their sides are in ratio:
1)
(2x+2)/6=18/9
2x+2=2*6
2x=12-2
x=10/2
x=5
2)
(x-2)/4=10/8
x-2=1.25*4
x=5+2
x=7
3)
(3x-6)/12=24/16
3x-6=1.5*12
3x=18+6
x=24/3
x=8
4)
(2x+4)/15=16/20
2x+4=0.8*15
2x=12-4
x=8/2
x=4
5)
(x+2)/15=6/10
x+2=0.6*15
x=9-2
x=7
6)
(-3+x)/6=10/12
-3+x=6*(10/12)
x=5+3
x=8
Answer:
The sampling distribution of sample proportion is approximately normal, with mean 0.62 and standard deviation 0.0485.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes 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.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean and standard deviation
62% of those people get some relief from taking ibuprofen (true proportion).
This means that
Sample of 100
This means that
A. (4 pts.) Determine the sampling distribution of sample proportion. Also, find the mean and standard deviation of the sampling distribution.
By the Central Limit Theorem, it is approximately normal with
Mean
Standard deviation
Answer:
Step-by-step explanation:
Sine doesn't have an inverse, until you restrict the domain to -pi/2 to pi/2. If you don't restrict the domain, then the inverse doesn't exist. Im going to assume the domain is restricted.
Switch the x and y values
Subtract pi/4 on both sides
Take the arcsine of both sides
Step-by-step explanation:
Celebrating Feb.. What a Fantastic Tea..
Answer:
0.12
Step-by-step explanation:
The percentage change formula depends if the price goes up or down. Since this goes up, we have the positive percentage change formula. This is where is the new price and is the original price. Plugging in our values, we get . Since this is to two decimal places we get 0.12 as our answer.