Answer:
x = 13
Step-by-step explanation:
Answer:
25,095238095 = 25 2⁄21
Step-by-step explanation:
Just multiply each denominator and numerator straight across and convert to a mixed number, decimal, or whatever you want.
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Answer:Answer:
w + 4 and 4 + w
Step-by-step explanation:
Given phrase,
w is increased by 4,
That is, w + 4
By the commutative property of addition,
The expression would be,
4 + w
For drawing a model that shows w + 4
Take two boxes in which first shows w and second shows 4 and add them,
Similarly, for showing 4 + w, take first box that shows 4 and second box that shows w then add them.
Step-by-step explanation:
Since sin(2x)=2sinxcosx, we can plug that in to get sin(4x)=2sin(2x)cos(2x)=2*2sinxcosxcos(2x)=4sinxcosxcos(2x). Since cos(2x) = cos^2x-sin^2x, we plug that in. In addition, cos4x=cos^2(2x)-sin^2(2x). Next, since cos^2x=(1+cos(2x))/2 and sin^2x= (1-cos(2x))/2, we plug those in to end up with 4sinxcosxcos(2x)-((1+cos(2x))/2-(1-cos(2x))/2)
=4sinxcosxcos(2x)-(2cos(2x)/2)=4sinxcosxcos(2x)-cos(2x)
=cos(2x)*(4sinxcosx-1). Since sinxcosx=sin(2x), we plug that back in to end up with cos(2x)*(4sin(2x)-1)
Answer:
The mean of samples of 100 IQ scores taken out from this population will have a distribution with mean M=104 and standard deviation s=3.5.
Step-by-step explanation:
We know the population mean and standard deviation, that has a bell-shaped distribution:
The sampling distribution, the distribution of the mean of samples of size n out of this population, will have the same mean as the population mean.
The standard deviation will be related to the population standard deviation and the sample size as:
Then, the mean of samples of 100 IQ scores taken out from this population will have a distribution with mean M=104 and standard deviation s=3.5.
