Answer:
The sample size 'n' = 384
Step-by-step explanation:
<u>Step(i)</u>:-
Given data the margin of error = 0.05
The margin of error of the estimation of a population proportion is determined by
<u><em>Step(ii)</em></u>:-
In data not given sample proportion 'p' but
we know that
cross multiplication, we get
0.05 ×√n = 0.98
<em>squaring on both sides, we get</em>
<em>n = 384.16≅ 384</em>
<u><em>Final answer</em></u><em>:-</em>
<em>The sample size 'n' = 384</em>
10 digits.
0, 1, 2, 3, 4, 5, 6, 7, 8, and 9
Using a system of equations, it is found that she has 9 picture books.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
- Variable x: Number of picture books.
- Variable y: Number of encyclopedias.
- Variable z: Number of fairy tale books.
The ratio of the number of picture books encyclopedias, and fairy tale books Annette had is 3:4:5, hence:
She gave half of her encyclopedias to her brother and he gave her 5 books of fairytales. Now she has 14 more books of fairy tales than encyclopedias, hence:
z + 5 - 0.5y = 14.
z - 0.5y = 9
From the ratios, we have that:
Hence we solve for x to find the number of picture books:
x = 9.
More can be learned about a system of equations at brainly.com/question/24342899
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Answer:
<em>y = -2x - 4</em>
Step-by-step explanation:
<em>y + 1 = -2x - 3</em>
<em>Subtract 1 from both sides to get the y by itself</em>
<em>y = -2x - 3 - 1</em>
<em>Simplify (Combine Like terms)</em>
<em>y = -2x - 4</em>