Answer:

Step-by-step explanation:
We know that the line has a slope of 2 and it passes through the point (3, -4).
So, we can use the point-slope form:

Where m is the slope and (x₁, y₁) is a point.
So, let’s substitute 2 for m and (3, -4) for (x₁, y₁). This yields:

Solve for y. Distribute the right:

Subtract 4 from both sides. Therefore, our equation is:

First, rewrite the equation
with the base equal to 5. Note that:
Then

Since the bases are equal, you have that powers are equal too:

Answer: 
The ratio of the frequency at which he picks blue is 18:32 which simplifies to 9:16 but if you want a percentage its 36%
Answer:
0.0208<p<0.0592
Step-by-step explanation:
-Given the sample size is 400 and the desired proportion is 16.
-The confidence interval can be determined as follows:

#We the use this proportion to find the CI at 95%:
![CI=0.04\pm 1.96\times \sqrt{\frac{0.04(1-0.04)}{400}}\\\\=0.04\pm 0.0192\\\\=[0.0208,0.0592]](https://tex.z-dn.net/?f=CI%3D0.04%5Cpm%201.96%5Ctimes%20%5Csqrt%7B%5Cfrac%7B0.04%281-0.04%29%7D%7B400%7D%7D%5C%5C%5C%5C%3D0.04%5Cpm%200.0192%5C%5C%5C%5C%3D%5B0.0208%2C0.0592%5D)
Hence, the 95% confidence interval is 0.0208<p<0.0592
100 = x + x/2
3x/2 = 100
x = 200/3
if there was 50% discount:
buying 1 would be $33.33
buying 2 would be $66.67