Answer:
Since the sample size is larger than 30, the cognitive psychologist can assume that the sampling distribution of M will be approximately normal.
Step-by-step explanation:
We use the central limit theorem to solve this question.
The Central Limit Theorem estabilishes that, for a random variable X, with mean 
and standard deviation 
, a sample size larger than 30 can be approximated to a normal distribution with mean and standard deviation 
So
Since the sample size is larger than 30, the cognitive psychologist can assume that the sampling distribution of M will be approximately normal.
The opposite number closest to negative five is positive 5
Answer:
The first pair of figures would be a translation.
Step-by-step explanation:
A translation is a transformation that involves the shift or slide of a figure in the coordinate plane. This movement will only be either horizontal, vertical or a combination of both. The second and third set of figures given include not only a shift, but a reflection and rotation as well. The only set of figures that has been moved horizontally and/or vertically is the first set.
Answer: Cost of tickets for adults = $22
Cost of tickets for children = $15
Total number of tickets sold = 732
Total receipts = $12,912
Let x be number of adult ticket's sold and y be the number of child ticket's sold.
Therefore, we have:
--------------- equation 1
Also, we have:
Now, let's substitute the value of x:
Now, let's substitute the value of y=456 in equation 1, we have:
Therefore, the number of child ticket's sold is 456 and number of adult ticket's sold is 276
4x - 5
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