A screen has side lengths of 10 ft and
1 answer:
The length from one corner to the opposite corner is 26 feet
The screen is the shape of a rectangle.
The length from one corner to the opposite corner is known as the diagonal or hypotenuse. The diagonal separates the rectangle into 2 right-angled triangles . The diagonal's value can be determined using Pythagoras theorem
The Pythagoras theorem: a² + b² = c²
where a = length
b = width
c = diagonal
10² + 24²
100 + 576
= 676
determine the value of the square root
√576 = 26 feet
To learn more about Pythagoras theorem, please check: brainly.com/question/20936855?referrer=searchResults
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Answer:
The hypothesis is:
<em>H₀</em>: .
<em>Hₐ</em>: .
Step-by-step explanation:
Let <em>X</em> = number of men who exercise regularly and <em>Y</em> = number of women who exercise regularly.
The information provided is:
Compute the sample proportion of men and women who exercise regularly as follows:
The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> = 150 and .
The random variable <em>Y</em> also follows a Binomial distribution with parameters <em>n</em> = 200 and .
According to the Central limit theorem, if from an unknown population large samples of sizes <em>n</em> > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.
The mean of this sampling distribution of sample proportion is:
The standard deviation of this sampling distribution of sample proportion is:
So, the sampling distribution of the proportion of men and women who exercise regularly follows a Normal distribution.
A two proportion <em>z</em>-test cab be performed to determine whether the proportion of women is more than men who exercise regularly.
The hypothesis for this test cab be defined as:
<em>H₀</em>: The proportion of women is same as men who exercise regularly, i.e. .
<em>Hₐ</em>: The proportion of women is more than men who exercise regularly, i.e. .