The grandparents that shop at Greggslist was 3 out of the 25 sampled. That gives us a ratio of 3/25. Convert this to decimal by dividing 3 by 25 and your answer is
3/25 = 0.12
Answer #3
Is skipped a number and that's not good
Answer:
The probability that the sample mean would differ from the population mean by more than 2.6 mm is 0.0043.
Step-by-step explanation:
According to the Central Limit Theorem if we have a population with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from the population with replacement, then the distribution of the sample means will be approximately normally distributed.
Then, the mean of the distribution of sample mean is given by,

And the standard deviation of the distribution of sample mean is given by,

The information provided is:
<em>μ</em> = 144 mm
<em>σ</em> = 7 mm
<em>n</em> = 50.
Since <em>n</em> = 50 > 30, the Central limit theorem can be applied to approximate the sampling distribution of sample mean.

Compute the probability that the sample mean would differ from the population mean by more than 2.6 mm as follows:


*Use a <em>z</em>-table for the probability.
Thus, the probability that the sample mean would differ from the population mean by more than 2.6 mm is 0.0043.
First question:
I urge you to perform the division using the synthetic division method:
________________
-4 / 1 3 -6 -6 8
-4 4 8 -8
-----------------------
1 -1 -2 2 0
Note that there is no remainder. When this is the case, the divisor (here, that's -4) is a root of the given polynomial, and the value of that polynomial, g(-4), is 0.
If the remainder were not 0, then the remainder represents the value of the polynomial for that particular divisor. For example, if x = -3, the remainder is -28. We'd write that as g(-3) = -28.
But here, g(-4) = 0.
Let's solve this problem step-by-step.
STEP-BY-STEP SOLUTION:
To begin with, let's establish that ( x ) can equal to any number from 0 to 9.
Meaning, that ( x ) is equal to one of the following: 0, 1, 2, 3, 4, 5, 6, 7, 8 or 9.
Now that we know which values ( x ) can equal to, we will simply substitute each of the numbers as potential values of ( x ) into the six-digit number and divide it by 27 to see if it is a multiple of 27.
If X = 0
= 63X904 / 27
= 630904 / 27
= Not a whole number
Therefore, X is not equal to 0.
If X = 1
= 63X904 / 27
= 631904 / 27
= Not a whole number
Therefore, X is not equal to 1.
If X = 2
= 63X904 / 27
= 632904 / 27
= Not a whole number
Therefore, X is not equal to 2.
If X = 3
= 63X904 / 27
= 633904 / 27
= Not a whole number
Therefore, X is not equal to 3.
If X = 4
= 63X904 / 27
= 634904 / 27
= Not a whole number
Therefore, X is not equal to 4.
If X = 5
= 63X904 / 27
= 635904 / 27
= 23552
ANSWER:
Therefore, the answer is:
X = 23, 552
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