Answer:
x= 1/256
Step-by-step explanation:
1. multiply both sides by 8x (answer: -5= 8x*-160)
2. divide both sides by -160 (answer: -5/-160 or 1/32 =8x)
3. divide both sides by 8 (answer: 1/256 = x
4. check your answer: -5/(8*1/256)= -160
Answer:
The interval [32.6 cm, 45.8 cm]
Step-by-step explanation:
According with the <em>68–95–99.7 rule for the Normal distribution:</em> If 
is the mean of the distribution and s the standard deviation, around 68% of the data must fall in the interval
![\large [\bar x - s, \bar x +s]](https://tex.z-dn.net/?f=%5Clarge%20%5B%5Cbar%20x%20-%20s%2C%20%5Cbar%20x%20%2Bs%5D)
around 95% of the data must fall in the interval
![\large [\bar x -2s, \bar x +2s]](https://tex.z-dn.net/?f=%5Clarge%20%5B%5Cbar%20x%20-2s%2C%20%5Cbar%20x%20%2B2s%5D)
around 99.7% of the data must fall in the interval
![\large [\bar x -3s, \bar x +3s]](https://tex.z-dn.net/?f=%5Clarge%20%5B%5Cbar%20x%20-3s%2C%20%5Cbar%20x%20%2B3s%5D)
So, the range of lengths that covers almost all the data (99.7%) is the interval
[39.2 - 3*2.2, 39.2 + 3*2.2] = [32.6, 45.8]
<em>This means that if we measure the upper arm length of a male over 20 years old in the United States, the probability that the length is between 32.6 cm and 45.8 cm is 99.7%</em>
Step-by-step explanation:
The length of a rectangle, l = 3 units
The breadth of a rectangle, b = 4 units
Nancy needs to increase both the length and the width of the rectangle by 2 units.
The area of a rectangle is given by
A = length(l) × breadth(b)
Here,
A = 3 × 4
= 12 unit²
If both length and width of the rectangle increase by 2 units,
New length = (4+2) = 6 units
New width = (3+2) = 5 units
New area = 6 × 5 = 30 unit²
Hence, new area becomes 30 unit².
The rule that describes the composition of transformations that maps ΔJKL to ΔJ"K"L" is Rotation 0° to 90° and reflection about the x-axis.
<h3>What is the transformations rule that was used here?</h3>
A transformation is a rule that is used to manipulate the position of a point of geometric figure.
Analyzing the figure, rotation of ΔJKL through the angle 90 degrees in a counter-clockwise direction gives us ΔJ'K'L' .
ΔJ"K"L" is been gotten also using ΔJ'K'L' through the refraction of ΔJ'K'L' across the x-axis.
In this case, rule that describes the composition of transformations that maps ΔJKL to ΔJ"K"L" is Rotation 0° to 90° and reflection about the x-axis.
Learn more about Transformation from
brainly.com/question/4218767
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