------------------------------------------------------
Option A
------------------------------------------------------
------------------------------------------------------
Check if slope = 2
------------------------------------------------------
y + 2 = 2(x + 3)
y + 1 = 2x + 6
y = 2x + 6 - 1
y = 2x + 5
Slope = 2
Answer: Yes, Slope is 2
------------------------------------------------------
Check if it passed through (2, 3)
------------------------------------------------------
When x = 2
y = 2(2) + 5
y = 9
Answer: No, it does not passed through (2, 3)
------------------------------------------------------
Option B
------------------------------------------------------
------------------------------------------------------
Check if Slope is 2
------------------------------------------------------
y - 3 = 2(x - 2)
y - 3 = 2x - 4
y = 2x - 4 + 3
y = 2x - 1
Slope = 2
Ans : Yes, slope is 2.
------------------------------------------------------
Check if it passed through (2, 3)
------------------------------------------------------
when x = 2
y = 2(2) - 1
y = 4 - 1
y = 3
Answer : Yes, it passed through (2, 3)
------------------------------------------------------
Answer: (B) <span>y – 3 = 2(x – 2)
</span>------------------------------------------------------
The probability that at least one of them has an injection-site reaction is: 0.5356.
<h3>
Probability</h3>
Using this formula
Probability of atleast one= 1- (1- Proportion)^n
Where:
Proportion=.12
Sample size=n=6
Let plug in the formula
Probability of atleast one=1-(1-.12)^6
Probability of atleast one=1-(.88)^6
Probability of atleast one=1-.4644041
Probability of atleast one=0.53559
Probability of atleast one=0.5356 (Approximately)
Therefore the probability that at least one of them has an injection-site reaction is: 0.5356.
Learn more about probability here:brainly.com/question/20411748
#SPJ1
For this case what we can do is the following rule of three.
5 pound ---> 12.50 $
x ------------> 7.50 $
Clearing x we have:
x = (7.50 / 12.50) * (5)
x = 3 pounds
Answer:
the weight of the package is:
x = 3 pounds
Answer:
C
Step-by-step explanation:
So we have the equation:
![B=d\pi r^2](https://tex.z-dn.net/?f=B%3Dd%5Cpi%20r%5E2)
And we want to solve for r.
So first, isolate the r variable. Divide both sides by dπ. So:
![\frac{B}{d\pi}=\frac{d\pi r^2}{d\pi}](https://tex.z-dn.net/?f=%5Cfrac%7BB%7D%7Bd%5Cpi%7D%3D%5Cfrac%7Bd%5Cpi%20r%5E2%7D%7Bd%5Cpi%7D)
The right side cancels:
![\frac{B}{d\pi}=r^2](https://tex.z-dn.net/?f=%5Cfrac%7BB%7D%7Bd%5Cpi%7D%3Dr%5E2)
Take the square root of both sides:
![r=\sqrt\frac{B}{d\pi}](https://tex.z-dn.net/?f=r%3D%5Csqrt%5Cfrac%7BB%7D%7Bd%5Cpi%7D)
We can rearrange the terms:
![r=\sqrt\frac{B}{\pi d}](https://tex.z-dn.net/?f=r%3D%5Csqrt%5Cfrac%7BB%7D%7B%5Cpi%20d%7D)
Our answer is C.