Answer: - 3/2
Step-by-step explanation:
Use this formula to find the slope for any two given points.
(4, 3) and (6, 0)
↓ ↓ ↓ ↓
x1 y1 x2 y2
y2 - y1 0 - 3
--------- = ---------- = -3/2
x2 - x1 6 - 4
Hope this helped! :)
The answer & explanation for this question is given in the attachment below.
V = x³ - 6x²y + 12xy² - 8y³
V = (x - 2y)³
= (x - 2y)(x - 2y)(x - 2y) ( expand first pair of factors )
= (x² - 4xy + 4y²)(x - 2y) ( multiply terms in first by terms in second )
= x³ - 4x²y + 4xy² - 2x²y + 8xy² - 8y³ ( collect like terms )
= x³ - 6x²y + 12xy² - 8y³
Answer:
x = 1.5 ; y = -0.5
Step-by-step explanation:
2x + 4y = 1 ---------------------(i)
3x - 5y =7 ----------------------(ii)
(i) * 5 10x + 20y = 5
(ii)*4 <u> 12x -20y = 28 </u>
add, 22x = 33 { here y will be eliminated}
x = 33/22 = 3/2
x = 1.5
Put the value of x in equation (i)
2*1.5 + 4y = 1
3 + 4y = 1
4y = 1-3
4y = -2
y = -2/4 = -1/2
y = -0.5
Step 1: Find the standard error (SE)
The standard error is given by
![SE=\frac{s}{\sqrt[]{n}}](https://tex.z-dn.net/?f=SE%3D%5Cfrac%7Bs%7D%7B%5Csqrt%5B%5D%7Bn%7D%7D)

In this case,

Therefore,
![SE=\frac{0.76}{\sqrt[]{74}}\approx0.0883](https://tex.z-dn.net/?f=SE%3D%5Cfrac%7B0.76%7D%7B%5Csqrt%5B%5D%7B74%7D%7D%5Capprox0.0883)
Step 2: Find the alpha level (α)


Step 3: Find the critical probability (P*)

Therefore,

Step 4: Find the critical value (CV)
The critical value the z-score having a cumulative probability equal to the critical probability (P*).
Using the cumulative z-score table we will find the z-score with value of 0.995
Hence,

Step 5: Find the margin of error (ME)

Therefore,

Step 6: Find the confidence interval (CI)

Therefore,

Hence there is a 99% probability that the true mean will lie in the confidence interval
(16.8725, 17.3275)