<h2>
Hello!</h2>
The answer is: The Anya's drawing is 6 inches long.
Have a nice day!
<h2>Why?</h2>
To solve this problem, we need to consider the drawing's length with respect to the actual bug's size, so, the scale factor is:
![2in:\frac{1}{8}in\\\\2x(in):\frac{3}{4}in](https://tex.z-dn.net/?f=2in%3A%5Cfrac%7B1%7D%7B8%7Din%5C%5C%5C%5C2x%28in%29%3A%5Cfrac%7B3%7D%7B4%7Din)
So, how long is Anya's drawing of the bug?
We can find it, using the following equation:
![(2x)in=\frac{2in*\frac{3}{4}in}{\frac{1}{8}in}=\frac{\frac{6}{4}in}{\frac{1}{8}in}=\frac{\frac{3}{2}in }{\frac{1}{8}in}\\\\(2x)in=\frac{\frac{3}{2}in }{\frac{1}{8}in }=\frac{3}{2}in*\frac{8}{1}in=12in^{2}\\\\(2x)in=12in^{2} \\\\x=\frac{12in^{2} }{2in}=6in](https://tex.z-dn.net/?f=%282x%29in%3D%5Cfrac%7B2in%2A%5Cfrac%7B3%7D%7B4%7Din%7D%7B%5Cfrac%7B1%7D%7B8%7Din%7D%3D%5Cfrac%7B%5Cfrac%7B6%7D%7B4%7Din%7D%7B%5Cfrac%7B1%7D%7B8%7Din%7D%3D%5Cfrac%7B%5Cfrac%7B3%7D%7B2%7Din%20%7D%7B%5Cfrac%7B1%7D%7B8%7Din%7D%5C%5C%5C%5C%282x%29in%3D%5Cfrac%7B%5Cfrac%7B3%7D%7B2%7Din%20%7D%7B%5Cfrac%7B1%7D%7B8%7Din%20%7D%3D%5Cfrac%7B3%7D%7B2%7Din%2A%5Cfrac%7B8%7D%7B1%7Din%3D12in%5E%7B2%7D%5C%5C%5C%5C%282x%29in%3D12in%5E%7B2%7D%20%5C%5C%5C%5Cx%3D%5Cfrac%7B12in%5E%7B2%7D%20%7D%7B2in%7D%3D6in)
Hence, the Anya's drawing is 6 inches long.
Have a nice day!
Answer:
Slope = 3
Step-by-step explanation:
Because it increases by 3 each time.
Answer:
(x + 1)(x - 7) is the odd one.
Step-by-step explanation:
1) sum= 8
Product = 7
Factors = 1 , 7 {1*7 = 7 & 1+7 = 8}
x² + 8x + 7 = x² + x + 7x + 7
= x(x + 1) + 7(x + 1)
=(x +1 )(x + 7)
2) x² - 8x + 7 = x² -x -7x + (-1)*(-7)
= x(x - 1) - 7(x - 1)
=(x - 1)( x - 7)
3)Sum = 6
Product = -7
Factors = (-1) , 7 { -1 + 7 = 6 & (-1)*7 = -7}
x² + 6x - 7 = x² - x + 7x - 7
= x(x - 1) + 7(x - 1)
= (x - 1)(x + 7)
Answer:
1) Each group is composed of 10 people. They either saw results or don't saw results.
saw results no results Total
A 6 4 10
B 7 3 10
C 5 5 10
D 4 6 10
Total 22 18 40
Probability of a group seeing results:
Group A: 6/10 = 0.6
Group B: 7/10 = 0.7
Group C: 5/10 = 0.5
Group D: 4/10 = 0.4
Probability of a group not seeing results:
Group A: 4/10 = 0.4
Group B: 3/10 = 0.3
Group C: 5/10 = 0.5
Group D: 6/10 = 0.6
2) Groups A and B received the Power Pill.
What is the probability that a person saw results, given they received the power pill?
(6+7)/20 = 0.65
Groups C and D received the placebo.
What is the probability that a person saw results, given they received a placebo?
(5+4)/20 = 0.45
3) What is the probability that a person received the placebo, given they did not see results?
(5+6)/18 = 0.61
What is the probability that a person received the power pill, given that they did not see results?
(3+4)/18 = 0.39
You'll find the solution on the attached file.
Bye