Answer:
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Answer:
x = 9
Step-by-step explanation:
Well, let's solve it!
x - 9 = 0
Let's add 9 to both sides to isolate the variable and maintain equality.
We end up with :
x = 9 since -9 and 9 cancel out and 0 + 9 = 9.
Answer:
<h2>-38y -21z</h2>
Step-by-step explanation:
1). -(6y + 2z) - 7z- 4(3z + 8y) {Expand by distributing terms}
2). -(6y + 2z) - 7z - (12z + 32y) {Expand by distributing terms}
3). -6y + 2z - 7z - 12z + 32y {Remove parenthesis}
4). ( -6y - 32y ) + (-2z - 7z - 12z) {Collect like terms}
5). -38y -21z {Simplify}
Step-by-step explanation:
Area of rectangle =height×base
4 1/2×3 3/7=9/2×24/7=216/14=15 6/14=15 3/7
Answer:
CI = 21 ± 0.365
Step-by-step explanation:
The confidence interval is:
CI = x ± SE * CV
where x is the sample mean, SE is the standard error, and CV is the critical value (either t score or z score).
Here, x = 21.
The standard error for a sample mean is:
SE = σ / √n
SE = 3.2 / √510
SE = 0.142
The critical value is looked up in a table or found with a calculator. But first, we must find the alpha level and the critical probability.
α = 1 - 0.99 = 0.01
p* = 1 - (α/2) = 1 - (0.01/2) = 0.995
Using a calculator or a z-score table:
P(x<z) = 0.995
z = 2.576
Therefore:
CI = 21 ± 0.142 × 2.576
CI = 21 ± 0.365
Round as needed.