95.44% IQ scores are between 77 and 125
We're given,
Mean (a)=101
standard deviation (b)=12
To find : ![P[77 < x < 125]](https://tex.z-dn.net/?f=P%5B77%20%3C%20x%20%3C%20125%5D)
Using Empirical Rule:
∴
![P[\frac{77-101}{12} < \frac{x-a}{b} < \frac{125-101}{12}]\\](https://tex.z-dn.net/?f=P%5B%5Cfrac%7B77-101%7D%7B12%7D%20%3C%20%5Cfrac%7Bx-a%7D%7Bb%7D%20%3C%20%5Cfrac%7B125-101%7D%7B12%7D%5D%5C%5C)
![=P[-2 < z < 2]\\](https://tex.z-dn.net/?f=%3DP%5B-2%20%3C%20z%20%3C%202%5D%5C%5C)
![=P[Z < 2]-P[Z < -2]\\](https://tex.z-dn.net/?f=%3DP%5BZ%20%3C%202%5D-P%5BZ%20%3C%20-2%5D%5C%5C)

=95.44% (approx)
Learn more about Empirical rule of IQ calculation here:
brainly.com/question/13077017
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Majority of the southern economy depended on slave labor
The persuasive techniques that were used in the given poster are; Option A; glittering generalities about the viewer. and Option C; fear over a possible outcome
The poster is missing and so i have attached it.
The painting in the attached image was one created by Norman Rockwell released by the United Kingdom's Royal Navy during World War II.
The intentions and message the poster is trying to communicate is very direct because it tells us that if the workers waste time, the production rate of ships and destroyers will definitely decrease and as such the war will continue and it will take a far longer time to win the war.
The persuasive technique used in this poster is that it shows the glittering generalities about the viewer and from the images fear over a possible outcome.
Read more about persuasive techniques at; brainly.com/question/12158551
Answer: To solve such problems we need to know about Trigonometry.
Trigonometric functions
where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.
The value of x is 5√3.
Explanation: Given to us,
the base for the triangle, AB = 5 units,
Hypotenuse for the triangle, BC = 10 units,
∠B = 60°,
Solution
The question can be solved in two ways,
1. Using the Pythagoras theorem,
According to Pythagoras theorem,
substituting the values,
2. using the trigonometric function for ∠B,
for ∠B in ΔABC,
substituting the values,
we know that value of tan(60°) is √3,
Hence, the value of x is 5√3.
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