Answer:
-sqrt(3)/2
Step-by-step explanation:
Use double angle identity for sin(2x)
sin(2x)=2sin(x)cos(x)
We are given sin(x)=-1/2 so we already have so far that:
sin(2x)=2(-1/2)cos(x)
sin(2x)=-1*cos(x)
We just need to find cos(x).
x is in the fourth quadrant so cosine will be positive there
knowing the unit circle we should know that if sin(x)=-1/2 then cos(x)=sqrt(3)/2 while in 4th quadrant.
So the answer is sin(2x)=-1*sqrt(3)/2=-sqrt(3)/2
Answer: k = 27
Step-by-step explanation:
Here's the complete question:
Write the word sentence as an equation. Then solve the equation. A number k increased by 7 is 34.
An increase in k simply means that there's an addition. This will be:
k + 7 = 34
k = 34 - 7
k = 27
Therefore, the value of k is 27
-3x+(-15)+8=2x+8-6
45x+8=2x+2
not equal
Answer:
89
Step-by-step explanation:
I just multiplied 320 by 0.2 and then 250 by 0.1 and then added them together. I hope it helps and I'm not sure what method you would use for this but that's mine.
Answer:
the mean and standard error of the mean are 200 and 2 respectively.
Step-by-step explanation:
Given that ;
the sample size n = 81
population mean μ = 200
standard deviation of the infinite population σ = 18
A population is the whole set of values, or individuals you are interested in, from an experimental study.
The value of population characteristics such as the Population mean (μ), standard deviation (σ) are said to be known as the population distribution.
From the given information above;
The sample size is large and hence based on the central limit theorem the mean of all the means is same as the population mean 200.
i.e
= 200
∴ The mean = 200
and the standard error of the mean can be determined via the relation:




Therefore ; the mean and standard error of the mean are 200 and 2 respectively.