Answer:
B. Inscribed equilateral triangle.
Step-by-step explanation:
An equilateral triangle is a type of triangle that has all sides to have the same length.
An inscribed figure or shape is one which has been constructed within the boundaries of another figure or shape.
In the given question, the markings is construction of an inscribed equilateral triangle. This procedure of the construction after completion, generate the triangle as shown in the construction attached to this answer.
Answer:
The standard deviation for the number of people with the genetic mutation in such groups of 1000 is 9.49.
Step-by-step explanation:
Standard deviation: It is a measure of how spread out numbers are. It is the square root of the Variance, and the Variance is the average of the squared differences from the Mean.
The given parameters are:
Proportion, p = 10%
Sample size, n = 1000
The standard deviation is calculated as:
σ=![\sqrt{np(1-p}](https://tex.z-dn.net/?f=%5Csqrt%7Bnp%281-p%7D)
So, we have:
σ=
*(1-10%)
Evaluate:
σ= 9.49
Hence, the standard deviation for the number of people with the genetic mutation in such groups of 1000 is 9.49.
Read more about standard deviation at:
brainly.com/question/475676
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Remember
![log(a^z)=zlog(a)](https://tex.z-dn.net/?f=log%28a%5Ez%29%3Dzlog%28a%29)
so
notice that 200=2*2*2*5*5, so x cannot be a whole number
take the log base 10 of both sides
![log_{10}(2^x)=log{10}(200)](https://tex.z-dn.net/?f=log_%7B10%7D%282%5Ex%29%3Dlog%7B10%7D%28200%29)
![xlog_{10}(2)=log{10}(200)](https://tex.z-dn.net/?f=xlog_%7B10%7D%282%29%3Dlog%7B10%7D%28200%29)
divide both sides by
![log_{10}(2)](https://tex.z-dn.net/?f=log_%7B10%7D%282%29)
![x= \frac{log_{10}(200)}{log_{10}(2)}](https://tex.z-dn.net/?f=x%3D%20%5Cfrac%7Blog_%7B10%7D%28200%29%7D%7Blog_%7B10%7D%282%29%7D%20)
if we used
![log_{2}](https://tex.z-dn.net/?f=log_%7B2%7D)
instead of
![log_{10}](https://tex.z-dn.net/?f=log_%7B10%7D)
we would get
![x= log_{2}(200)](https://tex.z-dn.net/?f=x%3D%20log_%7B2%7D%28200%29%20)
because
t = 5c
Each car needs 5 tires (4 on it and 1 spare, which add up to five). So for every one car they make they need 5 tires. Two cars would need 10 tires, 3 would need 15 tires, etc, so the number of tires can be found by multiplying the number of cars by 5. Putting this into equation form, you'd get t = 5c
This is called a literal equation, or an equation with multiple variables. You solve it the same as you solve any other equation, but the variables stay there the whole time.
If they want "r" to be the subject, then they want you to solve for r. This means that you need to get the variable r by itself on one side of the equation, but still have the equation be equivalent to it original form.
I'm going to show you, in steps, how to solve this problem:
<span>V=πr²h
Divide both sides by "</span>π²h<span>"
</span>V/π²h=(πr²h)/<span>π²h
</span>
V/(π²h)=r
Your answer is r=V/<span>π²h</span>