Hey there!
-1/2 (1/4 * - 3/8)
= -1/2(1/4)(-3/8)
= -1/2(-3/32)
= 3 / 64
Therefore, your answer should be:
3/64
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Answer:
y = -2x - 1
Step-by-step explanation:
Step 1: Find the parallel line
y = -2x + b
Step 2: Solve for <em>b</em>
-3 = -2(1) + b
-3 = -2 + b
b = -1
Step 3: Write parallel equation
y = -2x - 1
Answer:
Observe the attached image
Step-by-step explanation:
The limit of inequality is marked by the equation of the line
![y = \frac{1}{3}x +\frac{1}{2}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B1%7D%7B3%7Dx%20%2B%5Cfrac%7B1%7D%7B2%7D)
Therefore the first step to graph the inequality is to graph the line
![y = \frac{1}{3}x +\frac{1}{2}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B1%7D%7B3%7Dx%20%2B%5Cfrac%7B1%7D%7B2%7D)
First we find its cut point with the x axis. (y = 0)
![0 = \frac{1}{3}x +\frac{1}{2}](https://tex.z-dn.net/?f=0%20%3D%20%5Cfrac%7B1%7D%7B3%7Dx%20%2B%5Cfrac%7B1%7D%7B2%7D)
![-\frac{1}{2}= \frac{1}{3}x](https://tex.z-dn.net/?f=-%5Cfrac%7B1%7D%7B2%7D%3D%20%5Cfrac%7B1%7D%7B3%7Dx)
![x =\frac{-\frac{1}{2}}{\frac{1}{3}}\\\\x = -\frac{3}{2}](https://tex.z-dn.net/?f=x%20%3D%5Cfrac%7B-%5Cfrac%7B1%7D%7B2%7D%7D%7B%5Cfrac%7B1%7D%7B3%7D%7D%5C%5C%5C%5Cx%20%3D%20-%5Cfrac%7B3%7D%7B2%7D)
Second we find its cut point with the y axis. (x = 0)
![y= \frac{1}{3}(0) +\frac{1}{2}](https://tex.z-dn.net/?f=y%3D%20%5Cfrac%7B1%7D%7B3%7D%280%29%20%2B%5Cfrac%7B1%7D%7B2%7D)
![y =\frac{1}{2}](https://tex.z-dn.net/?f=y%20%3D%5Cfrac%7B1%7D%7B2%7D)
Now that we know the cut points, we can graph the line.
Then, the inequality
![y](https://tex.z-dn.net/?f=y%20%3C%5Cfrac%7B1%7D%7B3%7Dx%20%2B%5Cfrac%7B1%7D%7B2%7D)
it tells us that the region is made up of all the values of y that are smaller or that are below the equation of the line
.
In this way we shadow the region that is below the line and this will be the graph of the inequality. Observe the attached image
Answer:
1) Increase the sample size
2) Decrease the confidence level
Step-by-step explanation:
The 95% confidence interval built for a sample size of 1100 adult Americans on how much they worked in previous week is:
42.7 to 44.5
We have to provide 2 recommendations on how to decrease the margin of Error. Margin of error is calculated as:
![M.E=z_{\frac{\alpha}{2} } \times \frac{\sigma}{\sqrt{n}}](https://tex.z-dn.net/?f=M.E%3Dz_%7B%5Cfrac%7B%5Calpha%7D%7B2%7D%20%7D%20%5Ctimes%20%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D)
Here,
is the critical z-value which depends on the confidence level. Higher the confidence level, higher will be the value of critical z and vice versa.
is the population standard deviation, which will be a constant term and n is the sample size. Since n is in the denominator, increasing the value of n will decrease the value of Margin of Error.
Therefore, the 2 recommendations to decrease the Margin of error for the given case are:
- Increase the sample size and make it more than 1100
- Decrease the confidence level and make it lesser than 95%.
24a-984+65-14
24a-933 from there I don't know because they both don't have a variable