Answer: x=4
Step-by-step explanation: Look at pic below to see how solved.
Answer: E. All of the above statements are true
Step-by-step explanation:
The mean of sampling distribution of the mean is simply the population mean from which scores were being sampled. This implies that when population has a mean μ, it follows that mean of sampling distribution of mean will also be μ.
It should also be noted that the distribution's shape is symmetric and normal and there are no outliers from its overall pattern.
The statements about the sampling distribution of the sample mean, x-bar that are true include:
• The sampling distribution is normal regardless of the shape of the population distribution, as long as the sample size, n, is large enough.
• The sampling distribution is normal regardless of the sample size, as long as the population distribution is normal. • The sampling distribution's mean is the same as the population mean.
• The sampling distribution's standard deviation is smaller than the population standard deviation.
Therefore, option E is the correct answer as all the options are true.
2 hundred thousands
5 ten thousands
3 thousands
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1 ones
X=2 because when you multiply 8 x 2=16 - 4=12
8(2)-4=12
The expression cos⁴ θ in terms of the first power of cosine is <u>[ 3 + 2cos 2θ + cos 4θ]/8.</u>
The power-reducing formula, for cosine, is,
cos² θ = (1/2)[1 + cos 2θ].
In the question, we are asked to use the formulas for lowering powers to rewrite the expression in terms of the first power of cosine cos⁴ θ.
We can do it as follows:
cos⁴ θ
= (cos² θ)²
= {(1/2)[1 + cos 2θ]}²
= (1/4)[1 + cos 2θ]²
= (1/4)(1 + 2cos 2θ + cos² 2θ] {Using (a + b)² = a² + 2ab + b²}
= 1/4 + (1/2)cos 2θ + (1/4)(cos ² 2θ)
= 1/4 + (1/2)cos 2θ + (1/4)(1/2)[1 + cos 4θ]
= 1/4 + cos 2θ/4 + 1/8 + cos 4θ/8
= 3/8 + cos 2θ/4 + cos 4θ/8
= [ 3 + 2cos 2θ + cos 4θ]/8.
Thus, the expression cos⁴ θ in terms of the first power of cosine is <u>[ 3 + 2cos 2θ + cos 4θ]/8</u>.
Learn more about reducing trigonometric powers at
brainly.com/question/15202536
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