27 ÷ (−9) = give step by step explaination
2 answers:
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First, illustrate the problem by drawing a square inside a circle as shown in the first picture. Connect each corner of the square to the center of the circle. Since the square is inscribed in the circle, they have the same center points. Each segment drawn to the corners is a radius of the circle measuring 1 unit. Also, a square has equal sides. So, the angle made between those segments are equal. You can determine each angle by dividing the whole revolution into 4. Thus, each point is 360°/4 = 90°.
Next, cut a portion of one triangle from the circle as shown in the second picture. Since one of the angles is 90°, this is a right triangle with s as the hypotenuse. Applying the pythagorean theorem,
s = √(1²+1²) = √2
So each side of the square is √2 units. The area of the square is, therefore,
A = s² = (√2)² = 2
The area of the square is 2 square units.
Next, cut a portion of one triangle from the circle as shown in the second picture. Since one of the angles is 90°, this is a right triangle with s as the hypotenuse. Applying the pythagorean theorem,
s = √(1²+1²) = √2
So each side of the square is √2 units. The area of the square is, therefore,
A = s² = (√2)² = 2
The area of the square is 2 square units.
The mean and standard deviation of number who find their jobs stressful are 7.44 and 1.6814 respectively.
Given,
number of workers chosen , n=12
percentage of respondents =62%
from given data the calculation are done according to binomial distribution,
then,
probability of respondents ,
a)calculating mean,
b)calculating standard deviation,
Thus, the mean and standard deviation of number who find their jobs stressful are 7.44 and 1.6814 respectively.
To learn more about binomial distribution refer here
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<u>Given</u>:
The given expression is
We need to determine the equivalent number.
<u>Equivalent expression:</u>
To determine the equivalent number, let us solve the expression
Thus, let us apply the exponent rule , we get;
Also, the term 10³ can be written as
Thus, we get;
Dividing, we get;
0.001
Hence, the equivalent number is 0.001
Hence, Option c is the correct answer.