Bart used place value and the distributive property to rewrite the expression 6(412). His work is shown below. 6(412) = 6(400 +
2 answers:
You might be interested in
Answer:
Step-by-step explanation:
It is known that the mean and standard deviation of the sampling distribution of the sample proportion() are represented as follows:-
, where p= Population proportion and n = sample size.
Let p denote the proportion of blue chips.
According to the information provided, we have
p= 0.275
n= 5
Thus, the mean and standard deviation of the sampling distribution of the sample proportion of blue chips for samples of size 5 will be:
Therefore, you will have the mean and standard deviation for the sample proportion of blue chips for samples of size 5:
Answer:
Error made by Andrew: He identified incorrect factors based on the roots.
Step-by-step explanation:
The roots of the polynomial consist of: 3, 2 + 2i, 2 - 2i. By the factor theorem, if a is a root of the polynomial P(x), then (x - a) must be a factor of P(x). According to this premise:
(x - 3), (x - (2 + 2i)), (x - (2 - 2i)) represent the factors of the polynomial.
<pBy simplification, we obtain:(x - 3), (x - 2 - 2i), (x - 2 + 2i) as the respective factors.
This is where Andrew's mistake occurred. Factors should always be in the form (x - a), not (x + a). Andrew expressed the complex factors incorrectly, resulting in an erroneous conclusion.
Thus, the polynomial can be expressed as:
Answer:
Upper limit: 3.116
Lower limit: 3.125
Step-by-step breakdown:
The random circle drawn by Hellen has a circumference of C=405 mm, measured to 3 significant figures, leading to a diameter, d, of 130 mm, accurate to 2 significant figures.
We utilize the formula
Substituting in the figures provides:
Consequently, Hellen’s value for π is recorded as 3.115 to three decimal places.
To find both limits, we divide the specified level of precision by two.
This figure is then added to the rounded number to determine the upper limit:
3.115+0.0005=3.1155
The lower limit calculates as 3.115-0.0005=3.1145