Answer:
x = 6
Step-by-step explanation:
3x + 4 = 5x - 8
==> add 8 to both sides
in doing so we get 3x + 4 + 8 = 5x - 8 + 8
the -8 and the +8 cancels out and 4 + 8 = 12
we are left with 3x + 12 = 5x
==> subtract 3x from both sides
in doing so we get 3x - 3x + 12 = 5x - 3x
the 3x and -3x cancel out and 5x - 3x = 2x
we are left with 12 = 2x
==> divide both sides by 2
in doing so we get 12/2 which equals 6 and 2x/2x which leaves us with
6 = x
The standard deviation for the number of people with the genetic mutation in such groups is 3.1305.
<h3>Standard Deviation</h3>
In statistics, the standard deviation is a measure of the amount of variation or dispersion of a set of values. A low standard deviation indicates that the values tend to be close to the mean of the set, while a high standard deviation indicates that the values are spread out over a wider range.
Let X be the number of people with genetic mutation is a group of 500,
The formula of standard deviation is given as
The standard deviation of the given sample is 3.1305
Learn more on standard deviation here;
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Answer:
Step-by-step explanation:
<h3>Given</h3>
- h(x) = (f ο g)(x)
- h(x) =
- f(x) =
<h3>To find</h3>
<h3>Solution</h3>
<u>We know that:</u>
<u>Substitute x with g(x) and solve for g(x):</u>
- =
- x + 5 = g(x) + 2
- x + 3 = g(x)
- g(x) = x + 3
Answer:
<h3>
x = 1/2</h3>
Step-by-step explanation:
-3x + 1 + 10x = x + 4
-1 -1
7x = x + 3
-x -x
6x = 3
÷6 ÷6
x = 1/2
Answer:
70.7 ft
Step-by-step explanation:
The triangle formed by home plate, first base, and second base is an isosceles right triangle with hypotenuse 100 ft. Then the side length (base-line distance between bases) is (100 ft)/√2 ≈ 70.7 ft.
___
For an isosceles right triangle with side lengths 1, the hypotenuse can be found from the Pythagorean theorem to be ...
hypotenuse = √(side² + side²) = √(1²+1²) = √2
Then the diamond distances satisfy the proportion ...
hypotenuse/side = 100 ft/(base distance) = √2/1
or ...
base distance = (100 ft)/√2 ≈ 70.71068 ft
