Answer:
75%
Step-by-step explanation:
60/80 = 6/8 = 3/4 = 75%
The expression that represents the phrase "twice the difference of a number and 5" is 2(x - 5).
<h3>What is the expression that represents the phrase?</h3>
The difference of a number and 5 is given by:
x - 5.
As we don't know the number, hence we call it x.
Twice that is:
2(x - 5).
Hence the expression that represents the phrase "twice the difference of a number and 5" is 2(x - 5).
A similar problem, in which the expression that represents a phrase is found, is given at brainly.com/question/2164351
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Answer: The number of first-year residents she must survey to be 95% confident= 263
Step-by-step explanation:
When population standard deviation (
) is known and margin of error(E) is given, then the minimum sample size (n) is given by :-
, z* = Two-tailed critical value for the given confidence interval.
For 95% confidence level , z* = 1.96
As, = 8.265, E = 1
So, ![n= (\dfrac{1.96\times8.265}{1})^2 =(16.1994)^2\\\\= 262.42056036\approx263\ \ \ [\text{Rounded to the next integer}]](https://tex.z-dn.net/?f=n%3D%20%28%5Cdfrac%7B1.96%5Ctimes8.265%7D%7B1%7D%29%5E2%20%3D%2816.1994%29%5E2%5C%5C%5C%5C%3D%20262.42056036%5Capprox263%5C%20%5C%20%5C%20%5B%5Ctext%7BRounded%20to%20the%20next%20integer%7D%5D)
Hence, the number of first-year residents she must survey to be 95% confident= 263
Answer:
rock
Step-by-step explanation:
Answer:
x = 10 yd
Explanation:
These triangles are based on proportions. 12 yd is proportional to 18 yd, and <em>x </em>yd to 15 yd. We want to find <em>x</em>. We'll use the rule of three to calculate the unknown number.
12/18 = x/15
x = (12 · 15)/18
x = 10 yd (10 yards from the hut to the gold coins)
